Answer:
2x−3=x
Move all terms containing x
to the left side of the equation.
Subtract x
from both sides of the equation.
2x−3−x=0
Subtract x
from 2x
x−3=0
Add 3
to both sides of the equation.
x=3
Help me and I’ll give you brainliest
Answer:
15/17
Step-by-step explanation:
Sin=opposite/hypotenuse
SinD=BC/CD=15/17
Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0, and one with r < 0.
(a) (2, 5pi/6)
(b) (1, -2pi/3)
(c) (-1, 5pi/4)
Answer:
The other pairs are:
[tex](a)\ (2, \frac{5\pi}{6}) \to[/tex] [tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3}) \to[/tex] [tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4}) \to[/tex] [tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]
See attachment for plots
Step-by-step explanation:
Given
[tex](a)\ (2, \frac{5\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4})[/tex]
Solving (a): Plot a, b and c
See attachment for plots
Solving (b): Find other pairs for [tex]r > 0[/tex] and [tex]r < 0[/tex]
The general rule is that:
The other points can be derived using
[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]
and
[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]
Let [tex]n =1[/tex] ---- You can assume any value of n
So, we have:
[tex](r, \theta) = (r, \theta + 2n\pi)[/tex]
[tex](r, \theta) = (r, \theta + 2*1*\pi)[/tex]
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2n + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2*1 + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + (2 + 1)\pi)[/tex]
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](a)\ (2, \frac{5\pi}{6})[/tex]
[tex]r = 2\ \ \ \ \theta = \frac{5\pi}{6}[/tex]
So, the pairs are:
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi}{6} + 2\pi)[/tex]
Take LCM
[tex](2, \frac{5\pi}{6}) = (2, \frac{5\pi+12\pi}{6})[/tex]
[tex](2, \frac{5\pi}{6}) = (2, \frac{17\pi}{6})[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi}{6} + 3\pi)[/tex]
Take LCM
[tex](2, \frac{5\pi}{6}) = (-2, \frac{5\pi+18\pi}{6})[/tex]
[tex](2, \frac{5\pi}{6}) = (-2, \frac{23\pi}{6})[/tex]
The other pairs are:
[tex](2, \frac{17\pi}{6})[/tex] and [tex](-2, \frac{23\pi}{6})[/tex]
[tex](b)\ (1, -\frac{2\pi}{3})[/tex]
[tex]r = 1\ \ \ \theta = -\frac{2\pi}{3}[/tex]
So, the pairs are:
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](1, -\frac{2\pi}{3}) = (1, -\frac{2\pi}{3} + 2\pi)[/tex]
Take LCM
[tex](1, -\frac{2\pi}{3}) = (1, \frac{-2\pi+6\pi}{3})[/tex]
[tex](1, -\frac{2\pi}{3}) = (1, \frac{4\pi}{3})[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](1, -\frac{2\pi}{3}) = (-1, -\frac{2\pi}{3} + 3\pi)[/tex]
Take LCM
[tex](1, -\frac{2\pi}{3}) = (-1, \frac{-2\pi+9\pi}{3})[/tex]
[tex](1, -\frac{2\pi}{3}) = (-1, \frac{7\pi}{3})[/tex]
The other pairs are:
[tex](1, \frac{4\pi}{3})[/tex] and [tex](-1, \frac{7\pi}{3})[/tex]
[tex](c)\ (-1, \frac{5\pi}{4})[/tex]
[tex]r = -1 \ \ \ \ \theta = \frac{-5\pi}{4}[/tex]
So, the pairs are
[tex](r, \theta) = (r, \theta + 2\pi)[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi}{4} + 2\pi)[/tex]
Take LCM
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{-5\pi+8\pi}{4} )[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-1, \frac{3\pi}{4} )[/tex]
And
[tex](r, \theta) = (-r, \theta + 3\pi)[/tex]
[tex](-1, \frac{-5\pi}{4}) = (-(-1), \frac{-5\pi}{4}+ 3\pi)[/tex]
Take LCM
[tex](-1, \frac{-5\pi}{4}) = (1, \frac{-5\pi+12\pi}{4})[/tex]
[tex](-1, \frac{-5\pi}{4}) = (1, \frac{7\pi}{4})[/tex]
So, the other pairs are:
[tex](-1, \frac{3\pi}{4} )[/tex] and [tex](1, \frac{7\pi}{4})[/tex]
What Is The Distance Between These Two Numbers?
(7,7) and (-9,7)
please help I need this done because this is my last assignment
Answer:
Lower quartile is 2
Median is 5
Upper quartile is 7
Answer:
Lower quartile 2
median 6.5
upper quartile 7
If an 8-foot pole casts a 6-foot shadow at the same time a nearby tree casts
a 33-foot shadow, how tall is the tree (in feet)?
Answer:
The tree is 44 feet
Step-by-step explanation:
[tex]\frac{8}{6}[/tex] is equivalent to [tex]\frac{4}{3}[/tex] (divide the numerator and denominator by 2)
[tex]\frac{4}{3}[/tex] = [tex]\frac{x}{33}[/tex]
3 x 1 = 33, so 4 x 11 = 44
_______ quadratic equations in standard form can be solved
using the quadratic formula.
No
All
Some
PLS HELP
The answer is All
Step-by-step explanation:
It has been proven that all quadratic equations can be solved with the quadratic formula.
XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip
On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here,
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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Prove limit of function by using definition (delta-epsilon)
Answer:
Refer to step-by-step
Step-by-step explanation:
Prove the following, [tex]\lim_{x \to \ 2} 2^{x}=4[/tex], [tex]\lim_{z \to \ -1} 3^{x}=\frac{1}{3}[/tex], and [tex]\lim_{x \to \ 1} e^{x-1} = 1[/tex].
For part f:
Plug in the value of the limit, 2,
[tex](2)^{2} =4[/tex]
Thus we proved the limit.
For part g:
Plug in the value of the limit, -1,
[tex]3^{(-1)}[/tex]=>[tex]3^{-1}[/tex]=>[tex]\frac{1}{3^{1} }=\frac{1}{3}[/tex]
Thus we proved the limit.
For part h:
Plug in the value of the limit, 1,
[tex]e^{(1)-1}[/tex]=>[tex]e^{1-1}[/tex]=>[tex]e^{0}=1[/tex]
Thus we proved the limit.
Using the following incomes and expenses information, calculate the total debt-to-income ratio: Employment wages: $115,000 Interest earned: $950 Dividends earned: $1,200 Mortgage payments: $38,600 Auto loan payments: $3,300 Student loan payments: $9,000 Taxes: $31,050 Utilities: $3,600 Personal savings: $12,000 Gas: $3,500 Groceries: $7,200 Entertainment: $6,000 Charitable donations: $500 Clothing: $1,500 Travel: $1,000
pls help i have been doing this for 5 hours i will mark brainliest PLEASE I JUST NEED THE RIGHT ANSWER
Answer:
[tex]p = 7[/tex]
Step-by-step explanation:
So the key is that a line has a measure of 180 degrees. Notice the square between the rays. That is a 90-degree angle. So let's add this up and see what's going on
[tex](5p + 2) + 90 + (7p + 4) = 180[/tex]
[tex]12p + 96 = 180[/tex]
[tex]12p = 84[/tex]
[tex]p = 7[/tex]
Answer:
p = 7
Step-by-step explanation:
From the diagram, we can see that all the angles given form a straight line, and therefore add up to 180°.
We can create an equation with what is given:
***The angle with the square marked is 90°.
5p° + 2° + 90° + 7p° + 4° = 180°
You can combine the like terms, getting:
12p° + 96° = 180°
Now, subtract 96° from both sides:
12p° = 84°
Now, divide by 12°, and get:
p = 7
Terrence made a scale drawing of a boarding school. The scale he used was
7 centimeters: 3 meters. If the actual length of a building at the school is 300 meters, how
on is the building in the drawing?
The building in the drawing is 700 centimeters or 7 meters.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Given 3 meters on real is equal to 7 centimeters on drawing
i.e. 3 meters=7 centimeters
or, 1 meter = 7/3 centimeters
We need to find reading for 300 meters so,
or, 300 meters=7/3*300 centimeters
=700 centimeters or 7 meters
Therefore the building in the drawing is 700 centimeters or 7 meters.
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What are the answers
Answer:
Rate of change= 1/3
Initial value = -4
Step-by-step explanation:
The rate of change is rise/run = 1/3.
the initial value is the y-intercept which is -4.
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-6)}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{(-6)}}} \implies \cfrac{-3 +6}{3 +6} \implies \cfrac{ 3 }{ 9 } \implies \cfrac{1 }{ 3 }[/tex]
now as far as the "initial value", dunno what that means.
The start of the line? well, the line by definition goes to infinity both ways.
the y-intercept? well, just look at the graph, the graph intercepts the y-axis when x = 0 and y = -4, so at (0 , -4).
Sam rolls a fair dice and flips a fair coin.
What is the probability of obtaining an odd number and a head?
There are six sides to a die and only one side has a two, so the probability of rolling a 2 is 1/6.
There are two sides to a coin and only one side has a head, so the probability of its coming up heads is 1/2.
The two events (rolling a die and flipping a coin) are independent, so the probability of both events occurring is (1/6)(1/2) = 1/12
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for. this is my questions its muliple choice, the answer ive come to is 1h 25m but thats not one of the answers to chose from what do i do?
If the total length of the journey is 146 km and he maintain the same speed, the longer time he will be using for driving will be 65m.
How can the time be calculated?The total length of my journey is 146 km.
Then the remain of the journry to reach 146 km = 146- 48 = 98
Then the if the same speed is maintained the estimate of longer time he will be using for driving will be calculated as :
(32 * 98)/48
Then get the productor quotient = 196/3 = 65 minutes
Therefore, option E is correct.
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MISSING OPTIONS:
A. 32
B.40
C. 52
D. 60
E.65
The Organic Cafe has 20 pastries for sale, including 6 poppy seed muffins.
What is the probability that a randomly selected pastry will be a poppy seed muffin?
Write your answer as a fraction or whole number.
Answer:
3/10
Step-by-step explanation:
6/20
Reduce
3/10
HELP ME QUICK PLEASE.
Answer:
B
Step-by-step explanation:
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is “yellow (Y),” which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5625, 0.375, 0.0625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.75, 0.25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.375, 0.125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0.5, 0.25, 0.25.
Answer:
The first table is correct
Step-by-step explanation:
x=Yellow Prob
0 .5625
1 .375
2 .0625
The attached document shows a tree diagram with all 16 outcomes. Each outcome has probability 1/16.
The numbers at the right show the numbe of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Sorry about the watermarks--distracting!
Based on the given set of values, we can note that the first table is correct
What is Probability?This refers to the calculations of the way an event is most likely to occur.
Hence, the table for x=Yellow Prob
0 .5625
1 .375
2 .0625
For each outcome, there is probability 1/16.
The numbers at the right show the number of yellows for each outcome. There are 9 outcomes with 0 yellow (prob = 9/16).
There are 6 outcomes with 1 yellow (prob = 6/16)
There is 1 outcome with 2 yellow (prob = 1/16)
Hence, because the calculated values are consistent with the values in the first table, then we can conclude that the first table is correct.
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HELP WHICH ONE DO I PICK I NEED TO ANDWER NOW
Answer:
4.3 minutes per mile
Step-by-step explanation:
26 minutes divided by 6 miles is 4.333, so the answer should be 4.3 minutes per mile. Hope this helped :)
. Classify each random variable as either discrete or continuous. a. The time between customers entering a checkout lane at a retail store. b. The weight of refuse on a truck arriving at a landfill. c. The number of passengers in a passenger vehicle on a highway at rush hour. d. The number of clerical errors on a medical chart. e. The number of accident-free days in one month at a factory.
Answer:
a. The time between customers entering a checkout lane at a retail store - Continuous
b. The weight of refuse on a truck arriving at a landfill - Discrete
c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous
d. The number of clerical errors on a medical chart - Continuous
e. The number of accident-free days in one month at a factory - Discrete
Step-by-step explanation:
A discrete variable is one whose value can be counted or it is a countable variable while continuous variable is not countable and hence it is measured.
a. The time between customers entering a checkout lane at a retail store - Continuous
b. The weight of refuse on a truck arriving at a landfill - Discrete
c. The number of passengers in a passenger vehicle on a highway at rush hour - Continuous
d. The number of clerical errors on a medical chart - Continuous
e. The number of accident-free days in one month at a factory - Discrete
Random variables map sample space elements to real numbers. The classification of these random variables is done as:
Option A is Continuous random variableOption B is Continuous random variableOption C is discrete random variableOption D is discrete random variableOption E is discrete random variableWhat are random variables?Random variables are rules relating the sample space's elements to real numbers.
What are discrete random variables?Those random variables, who take only distinct values, are called discrete random variables.
What are continuous random variables?Those random variables, who take any value from a given continuous interval of real numbers are called continuous variables.
For the given first and second cases, the time between customers entering a checkout lane, or the weight on a truck can be any value in an interval of real numbers. Its not assuming distinct values and it can be any value in a continuous real number interval. Thus, they are continuous random variable.
For the given cases, from case third to fifth, the number of errors, the number of clerical errors, and the number of days, all can only be integers and thus, they are distinct, non-continuous in any non-zero sized interval, thus, they are discrete random variables.
Thus, the classification of these random variables is done as:
Option A is Continuous random variableOption B is Continuous random variableOption C is discrete random variableOption D is discrete random variableOption E is discrete random variableLearn more about discrete and continuous random variables here:
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The label on Masao's breakfast cereal said that
one serving of cereal provides 85 milligrams (mg) of
potassium, which is 2% of the recommended daily
amount. What is the total recommended daily
amount of potassium?
Nutrition Facts
Serving Size: 1 cup (47g)
Servings Per Container: About 7
Amount Per Serving
Calories
Calories from Fat
Total Fat 1g
Saturated Fat Og
Trons Fat og
Polyunsaturated Fat 0.5g
Monounsaturated Fat 0.5g
Cholesterol Omg
Sodium 190mg
Potassium 85mg
Total Carbohydrate 40g
Dietary Fiber 1g
Sugars 8g
Protein 3g
Cereal With Milk
180
2:30
20
10
% Daily Value
2%
0%
0%
8%
2%
13%
4%
2%
0%
|
0%
11%
8%
15%
4%
STAR
22
Find the unit rate: 406 miles to 14.5 gallons of gas.
Find the unit rate: 423 miles to 18 gallons of gas.
The grocery store charges $3.99 for a case of 24
bottles of water. What is the unit price?
Paul is shopping for laundry detergent. At the grocery
store, the liquid detergent is priced at $14.99 for 64
loads of laundry and the same brand of powder
detergent is priced at $15.99 for 80 loads. Which is
the better buy, the liquid, or the powder
Therefore , the solution of the given problem of percentage comes out to be 4250 mg, or 4.25 g and the percentage increase is 50%.
A percentage is what?A% is a number that can be expressed as a decimal or a fraction and indicates what proportion of 100 it is. Put 100 in the denominator and the percentage amount in the numerator to turn a percentage into a fraction.
Here,
This "Nutritional Facts" table indicates that 85 mg of potassium, or 2% of the daily recommended value, corresponds to the row "Potassium".
By using the unitary method, (85/2) mg of potassium will represent 1% of the daily required intake.
As a result, 4250 mg of potassium, or 100% of the daily allowance, will be required: (85/2 * 100).
The entire quantity of potassium that is advised for daily consumption is 4250 mg, or 4.25 g.
(New value) − (Initial value) / (Initial value) = percent change. * 100%.
Here,
Initial value: $1.50 (the 1995 fare).
New value equals $2.25 for the 2008 fare.
Therefore,
percentage variation
= [(2.25 - 1.50) / 1.50] .50] * 100%
= (0.75 / 1.50) * 100%
= 0.5 * 100%
= 50%.
Positive indications of the transition point to an increase in fare.
The percentage increase is therefore 50%.
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2 IMAGES BELOW! PLEASE HELP! Tysm <3
Answer:
y=2x+2
Step-by-step explanation:
Just look at the bottom dot which is 0,2 and y=2x+2 is the only one that works:
2=(2×0)+2
2=2
but the other is:
2=(3×0)
2=3
which isn't true,
therefore it must be the first one.
Ellie wants double her savings of £9000 by investing her money for 18 years what interest rate does she need to look for?
She need a interest rate of 5.56%
Your wealth increases more quickly due to compound interest. Due to the fact that you will receive returns on both the money you invest and returns at the conclusion of each compounding period, it causes a sum of money to increase more quickly than with simple interest. As a result, you won't need to save as much money to achieve your objectives.
What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.Formula for Daily Compound Interest.Formula for Annual Compound Interest.We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.
P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.
The formula for this issue is t = 18 Years, p = £90,000.
A = £9000 *2 => £18000\sr = ?
Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).
18r = 2 - 1\sr = 1/18\sr = 0.0555555556
Extend 0.0556
Ratio conversion: r = 0.0556 * 100 = 5.56%
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She need a interest rate of 5.56% .Your wealth increases more quickly due to compound interest.
What are the 3 types of compound interest?Formula for Monthly Compound Interest. 12 times a year are used to calculate interest that is compounded monthly.
Formula for Quarterly Compounding. Four times a year are used to calculate interest that is compounded quarterly.
Formula for Daily Compound Interest.
Formula for Annual Compound Interest.
We are aware that A = P(1+rt), where A represents the Final Investment Value, is the simple interest formula.
P denotes the principal amount to be invested, r the interest rate, and t the number of time periods.
The formula for this issue is t = 18 Years, p = £90,000.
A = £9000 *2 => £18000\sr =
Fill in the appropriate values in the formula above to find 18000 = 9000(1+18r).
18r = 2 - 1\sr = 1/18\sr
= 0.0555555556
Extend 0.0556
Ratio conversion: r = 0.0556 * 100 = 5.56%
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Which of the following equations is the translation 2 units up of the graph of y=Ixl?
Answer:
y=|x|+2
Step-by-step explanation:
Umm where’s the graph.
If the graph is up 2 units y=|x|+2
WILL MARK BRAINLIEST!
Calculate m < VXW in Parallelogram XYVW
Which function represents the following graph?
y = square root x -3 + 3
y = square root x + 3 + 3
y = 3 square root x - 3 + 3
y = 3 square root x + 3 + 3
Answer:
D. y = 3√x+3 +3
Step-by-step explanation:
The correct answer to your question is the fourth option, y = 3 square root x + 3 + 3.
Answer: D
Step-by-step explanation:
Find the circumference of the circle.
Answer:
72 .22 inches is the answer bro
Answer:
72.22 inches
Step-by-step explanation:
Formula for circumference given diameter is:
c = πd
If you use 3.14 for pi, you get 72.22 inches:
c = 3.14(23)
c = 72.22
find the square root of 3.6 upto 2 decimal places. *With Solution I need*
Answer:
The square root is 1.90
Step-by-step explanation:
Given
[tex]x = \sqrt{3.6}[/tex]
Required
Find x
Express 3.6 as 36/10
So, we have:
[tex]x = \frac{\sqrt{36}}{\sqrt{10}}[/tex]
This gives
[tex]x = \frac{6}{\sqrt{10}}[/tex]
Rationalize
[tex]x = \frac{6}{\sqrt{10}}*\frac{\sqrt{10}}{\sqrt{10}}[/tex]
[tex]x = \frac{6\sqrt{10}}{10}[/tex]
Using a calculator
[tex]\sqrt{10} \approx 3.16[/tex]
So, we have:
[tex]x = \frac{6*3.16}{10}[/tex]
[tex]x = \frac{18.96}{10}[/tex]
[tex]x = 1.896[/tex]
Approximate
[tex]x = 1.90[/tex]
What is the surface area of the rectangular prism?
Answer:
I would say it's 126in
Step-by-step explanation:
sorry if I'm not right but I'm pretty sure :)
Find the volume.
Need help
The volume of a rectangular prism is found by multiplying its length, width, and height.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=l\times w\times h[/tex]
[tex]\tt V=l\times w\times h[/tex][tex]\tt V=8m\times 4.5m \times 6m[/tex][tex]\tt V={216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
Another formula can be used if the area of the base (B) is given.
[tex]\large\tt\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:V=B\times h[/tex]
[tex] \tt V = B \times h[/tex][tex]\tt V = 36m^2\times 6m[/tex][tex] \tt V = {216m^3}[/tex]Therefore, the volume of a rectangular prism is 216m³
#CarryOnLearningSimplify. Negative square root of 16y^2 if y<0
Answer:
The square root means that IF you square the square root, you will get the original number. Thus, 16 squared = 256 and y^2 squared = (y^2)(y^2) = y^4
Step-by-step explanation: