Required values:
The length of one side of the garage was originally 17.7 ft long
The length of one of the sides of the garage is now 21.7 ft long
The percentage increase in length is 22.5%.
Given parameters are;
The area of the square garage is 314 ft.²
The area of the new garage has 50% more space
Required;
Initial side length:
The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;
s = √(314 ft.²) ≈ 17.7 ft.
New Side length:
The side was increased by 50%, to give,
314 + 0.5×314 = 471
The new area of the garage = 471 ft.²
The side length of the new garage, s = √(471) ≈ 21.7 ft
The side of the garage now is 21.7 ft.
Percentage increase in length:
The percentage increase is given as follows;
% increase in length
= new side length - old side length / old side length * 100
= 21.7 - 17.7 / 17.7 *100
= 22.5 %
To learn more about the percentage increase in length refer below
https://brainly.com/question/24832148
#SPJ9
math 50 points please dont lie
Answer:
D. 1,740
Step-by-step explanation:
10 to the 3rd power = 10*10*10=1000
1.74*1000=1740
Answer:
d) 1,740
Explanation:
Given following:
[tex]\rightarrow \sf 1.74 \times 10^3[/tex]
expand
[tex]\rightarrow \sf 1.74 \times 10 \times 10 \times 10[/tex]
multiply
[tex]\rightarrow \sf 1.74 \times 1000[/tex]
simplify by moving the decimal point 3 units to the right
[tex]\rightarrow \sf 1740.0[/tex]
The unknown shape numbers
The following weights are listed below:
A red circle has a weight of 20 units.A yellow rhombus has a weight of 8 units.A green trapezoid has a weight of 7 units.A dark blue square has a weight of 6 units.A light blue triangle has a weight of 5 units.The sum of the weights of a red circle, a yellow rhombus and a green trapezoid is equal to 35 units.
How to solve a system of linear equation behind a weight system
In this question we find a case of abstract thinking, in which we find a weight system at equilibrium. There are the following variables below:
x - Weight of a red circle.
y - Weight of a purple cross.
r - Weight of an orange star.
u - Weight of a dark blue square.
v - Weight of a yellow rhombus.
w - Weight of a green trapezoid.
z - Weight of a light blue triangle.
And the resulting system of linear equations is:
x + y = 24 (1)
y + v = 12 (2)
u = 6 (3)
2 · r = 6 (4)
1.5 · v + 2 · u = 24 (5)
0.5 · v + w + r + 2 · z = 24 (6)
u = z + 1 (7)
By (3):
u = 6
By (4):
r = 3
By (7):
z = 5
And the reduced system of linear equations is:
x + y = 24 (1)
y + v = 12 (2)
1.5 · v = 12 (5)
0.5 · v + w = 11 (6)
By (5):
v = 8
By (6):
w = 11 - 0.5 · v
w = 11 - 4
w = 7
By (2):
y = 12 - v
y = 12 - 8
y = 4
By (1):
x = 24 - y
x = 24 - 4
x = 20
To learn more on systems of linear equations: https://brainly.com/question/19549098
#SPJ1
. indicate whether each of the following can be determined exactly or must be measured with some degree of uncertainty:
Determination of Uncertainty for given situations are:
a) certain.
b) uncertain.
c) uncertain.
d) uncertain.
e) certain
What is Uncertainty?
The range of potential values between which the genuine value of both the measurement can be found is referred to as uncertainty in this context.a) A basket's capacity for eggs:
The measurement that is precise and free from uncertainty is the number of counting objects. Consequently, we are able to precisely count the eggs in a basket.
b) The weight of 12 bananas:
Given that no two bananas are the same size and therefore have different masses, it is uncertain to determine the mass of a dozen bananas. This is true for the computation of the mass of any object.
c) The iron block's mass
Because no two pieces of iron in an iron block are the same size, it is difficult to determine the mass of an iron block.
d) The quantity of gasoline required to fully fill a car's gas tank:
Due to the fact that gasoline is indeed a gas molecule and is volatile, it is difficult to calculate how many gallons are required to fill an automobile's gas tank.
e) There is 5 cm in a meter.
By using the relation, we can precisely calculate how many cm there are in 5 meters. Knowing that 1 m = 100 cm.
Determination of Uncertainty for given situations are:
a) certain.
b) uncertain.
c) uncertain.
d) uncertain.
e) certain
Learn more about Uncertainty here:
https://brainly.com/question/1577893
#SPJ4
describe and illustrate the situation when the minimum of a two variable function can be placed higher than its maximum. what type of extrema is this?
For the rare case that the outcome of the second derivative matrix examination is inconclusive, higher order derivatives have to be examined.
What do math extrema mean?
Any point in calculus when the value of a function is either the highest (a maximum) or the lowest (a minimum) (a minimum). There are maxima and minima that are both absolute and relative (or local).Identify every stationary point. The solution set that results from setting the partial first derivatives to zero includes those points.Look at each stationary point's personality. This is done explicitly in the first case by looking at the eigenvalues of the second derivative matrix. The fact that there are quick formulas for this if there are just two variables, is superior.Higher order derivatives must be investigated in the improbable event that the results of the second derivative matrix study are ambiguous. Sadly, no set recipes can be developed in this situation; rather, each function must be considered individually.Learn more about extrema mean
brainly.com/question/2272467
#SPJ4
Someone please help me on #3 and 4 they are different problems. Please help me how to solve this step by step. (Sorry about the bad picture.)
he spaces are usually stocked with standard office [marker for question 26] equipment, such as photocopiers, printers, and fax machines.
"The spaces are usually stocked with standard office [26] equipment,
such as photocopiers, printers, and fax machines." Option A: No Change, i.e., no sentence correction is needed.
What is sentence correction?Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.
Now,
When giving particular examples of something you're describing, we utilize the phrase "such as."Unless the example comes right at the end of the sentence, use a comma before "such as" and after your examples if they are not crucial to the truth of your sentence. A comma should only be used before "such as," not after it, as the examples of office equipment are near the end of the phrase while being crucial to its content. As a result, Option A is correct and no correction is necessary.To learn more about sentence correction, refer to the link: https://brainly.com/question/14632568
#SPJ4
WILL GIVE U MORE POINTS BY BRAINLIEST
Answer:1.75
Step-by-step explanation:
7x+8=3x+15
4x+8=15
4x=7
x=1.75
The tank for a car holds 19 gallons. the gasoline gauge shows the tank is 2 5 full. how much gas is still in
The tank of the car that holds 19 gallons and has 2/5 full has still in it 7.5 gallons
Information about the problem:
Tank capacity= 19 gallonsGasoline gauge= 2/5 fullGallons available=?To solve this problem, we have to state the equation using the information of the problem:
Gallons available= tank capacity* gasoline gauge
Gallons available= 19 gallons * 2/5
Gallons available= 38 gallons/5
Gallons available= 7.5 gallons
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
Question 1 of 10
What is the slope of the line that contains the points (-1, 2) and (4, 3)?
Answer:
1/5 = slope of line
Step-by-step explanation:
Here, slope = rise/run = (larger y value) - (smaller y-value)/(larger x -smaller x)
Here we get slope = rise/run = (3 - 2) (4 - [-1]) = 1/5 = slope of line
3.)
The elevation of a small submarine changes by-mile after each exploration. After
how many explorations will the submarine's elevation have changed by -1 miles?
The submarine's elevation would have changed by -3/2 mile after 4 explorations.
What is elevation?An elevation is a view of a three-dimensional shape from the side or the front. "Rise over run" is an easy-to-remember equation for calculating a change in elevation as a decimal, which means the rise (the change in vertical distance) divided by the run (the change in horizontal distance).So, to find how many explorations will the submarine's elevation has changed by -1 miles:
After each exploration, the submarine's elevation changes by -3/8 mile.To calculate the number of explorations required to change the submarine's elevation by -3/2 mile, divide -3/2 mile by the number of miles the submarine's elevation changes per exploration (that is, -3/8 mile).Then,
-3/2 miles ÷ -3/8 mile-3/2 ÷ -3/8 mile-3/2 × -3/8 mile24/64Therefore, the submarine's elevation would have changed by -3/2 mile after 4 explorations.
Know more about elevation here:
https://brainly.com/question/27243378
#SPJ9
The complete question is given below:
The elevation of a small submarine changes by -3/8 mile after each exploration. After how many explorations will the submarine's elevation have changed by -3/2 miles?
please help me I really need it:/
Answer:
this would be c bro trust me I passed this years ago dw it used to confuse me aswell
Step-by-step explanation:
yep
please help
7/8 times 1 1/2
2 3/4 divided by 2/3
Answer: 7/8 times 1 1/2 is 21/16 or 1.3125 in decimal
2 3/4 divided by 2/3 is 33/8 or 4.125 in decimal
Toby needs to save a minimum of $250. If Toby can save $57 a month, how many months will it take for him to save enough? Select the inequality that represents this situation.
The inequality that represents this situation is 57x <= 250
How to select the inequality that represents this situation?The given parameters are
Minimum savings = $250
Monthly savings = $57
Let the number of months be x
So, we have the following inequality
Monthly savings * x <= Minimum savings
Substitute the known values in the above equation
57 * x <= 250
Evaluate the product
57x <= 250
Hence, the inequality that represents this situation is 57x <= 250
Read more about inequality at
https://brainly.com/question/24372553
#SPJ1
I need help its due tmr
Answer:
1. 27
2. 18
3. 905.400
4. 6.830
Step-by-step explanation:
Any number (ending number/last number) with 1,2,3,4 is rounded down, and any number (ending number/last number) with 5,6,7,8,9 is rounded up.
1. It is closer to 27.
2. it is closer to 18.
3. It is closer to 905.400
4. It is 6.825 which ends in 5 so it is rounded up.
Write an algebraic expression for the statement: the income earned at $9.25 per hour for x hours
Answer:
9.25x
Step-by-step explanation:
Pt. B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36
Find x.
Hint: Draw a picture.
a
b
C
Od
15
9
45
27
The required value of x in the proportion of the line is 9.
Given that,
B is located between points A and C.
AB= x + 2; BC = 2x + 7 and AC = 36
To determine the value of x in the proportion of line.
A line is a straight curve connecting two points or more showing the shortest distance between initial and final points.
Here,
B is the point lies between A and C on line segment AC
So,
AC = AB + BC
AB + BC = 36
x + 2 + 2x + 7 = 36
3x + 9 = 36
3x = 27
x = 27 / 3
x = 9
Thus, the required value of x in the proportion of the line is 9.
Learn more about lines here:
brainly.com/question/2696693
#SPJ1
state the inverse, contrapositive, and converse of each conditional statement. then indicate whether the inverse, contrapositive, and converse are true. (a) if 3 is a prime number then 5 is an even number. (b) if 7 < 5, then 5 < 3.
The inverse is the false and the Converse is the true.
According to the statement
We have to find that the contra positive, and converse are true.
So, For this purpose, we know that the
A conditional statement may be a statement which will be written within the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is named the hypothesis and Q is termed the conclusion.
From the given information:
if 3 could be a prime quantity then 5 is a fair number.
Then
a) Inverse: If 3 isn't a primary number, then 5 isn't a fair number. (True)
Contra positive: If five isn't an excellent number, then 3 isn't a main number. (False)
Converse: If 5 is a good number, then 3 may be a prime quantity. (True).
And
b) if 7 < 5, then 5 < 3
This statement is that the false because the primary statement is that the false.
So, The inverse is the false and the Converse is the true.
Learn more about conditional statement here
https://brainly.com/question/11073037
#SPJ4
What is the measure of
Answer:
30
Step-by-step explanation:
The two angles are the same size, and adding them together (15+15) equals 30.
a. Find the perimeter of the figure of the following is true:
a=x+7
b=2x+2
c=8x
d=x+10
b. What is the perimeter of the figure in part (a) if x=4?
Answer:
a=11, b=10, c=32, and d=14.
Step-by-step explanation:
Answer:
67 units
Step-by-step explanation:
Perimeter of a shape is the sum of all sides.
Perimeter = a + b + c + d
= x +7 + 2x + 2 + 8x + x +10
= x + 2x + 8x + x +7 + 2 + 10
Combine like terms,
= 12x + 19
Now, substitute x = 4 in the above expression,
= 12*4 + 19
= 48 + 19
= 67
two lines are cut by a transversal such that a pair of alternate interior angles are right angles. are the two lines parallel? explain
Two lines are cut by a transversal such that a pair of alternate interior angles are right angles, then the two lines are parallel.
Following are the condition that satisfies to make two lines parallel,
When a transversal cuts two lines so that their opposing exterior angles coincide, the lines are said to be parallel. When a transversal cuts two lines so that their subsequent interior angles are supplementary, the lines are said to be parallel. Two lines are parallel to one another if they are both parallel to the same line. Parallel lines are those that never cross and always lie at the same distance apart. Both lines need to be parallel (in the same plane). The symbol for parallel lines is written as two thin parallel lines in geometry shorthand, as ∥. A transversal that crosses two parallel lines creates alternate interior angles. They form two pairs (four total angles) of alternating internal angles since they are situated between the two parallel lines but on different sides of the transversal.Learn to know more about parallel lines on
https://brainly.com/question/28007342
#SPJ1
Buehrer selll equipment. she earns 5% commission on the first 3,000, 8% pm the next 6,000 and 10% on sales over 12,000. her total sales for the month are 19,743 what is her total commission
The total Commission Buehrer earns is 1404.3.
Given, Commission on first 3000 sales is 5% and commission on next 6000 sales is 8% and the commission she get when done a sales over 12000 is 10%.
She did a total sales of 19743.
Total Commission = (5% of 3000 )+ (8% of 6000)+(10% of (total sale - 12000))
Total commission = (150)+(480)+(10% of (19743-12000))
Total commission = (150)+(480)+(10% of (7743))
Total commission = (150)+(480)+(774.3)
Total commission =1404.3
Hence Total commission she earns for the sales in the month is 1404.3.
Learn more about the commission here brainly.com/question/25767151
#SPJ4
Alison and Brett bought their first home 7 years ago for $350 000. They recently sold the house for $550 000. Which is the correct profit expressed as a percentage of the purchase price?
profit is 20000 and profit percent is 5.79
i need help with this
A falcon flies 800,000 meters in 4 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represents time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate. (3 points)
Part B: Find the falcon's rate in meters per hour. (4 points)
Part C: Rearrange the distance formula, d = rt, to solve for time. (3 points)
Please I really need this right now please
A) The rearranged formula is:
r = d/t
B) Using the above formula we can see that the rate is 25,000 m/h.
C) Here we have the linear equation:
d = (25,000 m/h)*t
How to solve the formula for the rate?Here we need to use the formula:
distance = rate*time.
To solve this formula for the rate, we need to divide both sides by the time, so we will get:
rate = distance/time.
Writing this with the given variables:
r = d/t.
b) Now we know that the distance is 800,000 meters and the time is 4 hours, then the rate will be:
r = 100,000m/4h = 25,000 m/h
The rate is 25,000 meters per hour.
c) Now we wil get the linear equation:
d = r*t
d = (25,000 m/h)*t
This linear equation gives the distance traveled in a time t.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Part A:
Rearrange the distance formula, d = rt, to solve for rate. The distance formula is given by d = rt, where d is the distance traveled, r is the rate at which the distance is being traveled, and t is the time taken to travel the distance.
To solve for rate, we can rearrange the formula as follows: d = rt d/t = r [dividing both sides by t] r = d/t
Therefore, the formula for rate is r = d/t.
Part B: Find the falcon's rate in meters per hour. Given that the falcon flies 800,000 meters in 4 hours, we can use the formula for rate to find its speed. r = d/t r = 800,000/4 r = 200,000 meters per hour.
Therefore, the falcon's rate is 200,000 meters per hour.
Part C: Rearrange the distance formula, d = rt, to solve for time. To solve for time, we can rearrange the formula as follows: d = rt t = d/r [dividing both sides by r]
Therefore, the formula for time is t = d/r.
(7⁰)^x=1 What are the possible values for X?
Answer:
The domain is [-∞,∞]
Step-by-step explanation:
[tex]7^0 = 1\\1^x = 1, solve\ for\ x.\\[/tex]
1 raised to any and every power will always equal 1.
Step-by-step explanation:
Given :[tex](1)^{x} =1[/tex]
Given that the base of the exponent is 1 now you should apply the rule that any 1 to the power any number is 1 and that any number to the power of 0 is 1 so that makes us comer to a conclusion that x can be any positive Integer.
therefore the answer is
X∈(+)z
z representing the integer in symbol
hope this helps..!!!!!!
DUE TODAY
Geometry bisects
Using the bisection concept, we have that the measure of angle AXB is of 160º.
What is the bisection of an angle?A bisection of an angle is the formation of a ray that divides the angle into two equal parts.
For this problem, we have that:
Ray XE bisects angle DXB, since m<EXB = 20º, m<DXB = 2 x 20º = 40º.Ray XD bisects angle CXB, since m<DXB = 40º, m<CXB = 2 x 40º = 80º.Ray XC bisects and AXB, since m<CXB = 80º, m<AXB = 2 x 80º = 160º.Hence the measure of angle AXB is of 160º.
More can be learned about bisection of angles at https://brainly.com/question/25770607
#SPJ1
If f(x)=12x+4, what is f(2)? If it does not exist,enter DNE.
Answer:[tex]f(2) =28[/tex]
Step-by-step explanation:
When it says f(2), it means to plug 2 into the x in the function f(x), so therefore:
[tex]12(2)+4\\\\24+4\\\\28[/tex]
Help!
Least to greatest,
Aceelerated 7th grade math!
Must be correct
Thank you!
f(t)=4t-2 g(t)=2t+2 Find (3f-4g)(t)
Solving the Question
We're given:
[tex]f(t)=4t-2[/tex][tex]g(t)=2t+2[/tex][tex](3f-4g)(t)=?[/tex][tex](3f-4g)(t)[/tex] is the same as [tex]3f(t)-4g(t)[/tex]. Now, we can just plug in the functions as if they're variables in an equation.
[tex]3f(t)-4g(t)[/tex]
[tex]= 3(4t-2)-4(2t+2)\\= 12t-6-8t-8\\= 4t-14[/tex]
Answer[tex](3f-4g)(t)= 4t-14[/tex]
Simplify (14.1x10^5) - (2.9x10^5). Write your answer in scientific notation.
Answer: 1.12x10⁶
Step-by-step explanation:
(14.1x10⁵)-(2.9x10⁵)=
(10⁵)(14.1-2,9)=
(11.2)(10⁵)=
(1.12)(10)(10⁵)=
(1.12)(10⁶)=
1.12x10⁶
Answer:
1.12x10⁶
Step-by-step explanation: