the answer that is equal to 1/4 is 2/8 3/12 and 4/16
A straw is placed inside a rectangular box that is 9 inches by 5 inches by 4 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form?
Answer:
sq rt 122
Step-by-step explanation:
if the box is 9 inches length (base) then this applies
First find the base diagonal then find the furthest top to base diagonal after.
Pythagoras theorem
Base diagonal
9^2 + 5^2 = c^2
(sqrt) of 81+25 = c^2
(sqrt) of 106 = c^2 = 10.29563 inches
= 10.3 inches.
larger diagonal
We note the height is 4inches and we add this again squaring all digits on calculator
10.29563^2 + 4^2 = c^2
(sqrt) 121.999997 = c^2
= 11.045361017187261 = 11.08 = 11.1 inches
Radical form = sq rt 122
The diagonal of the straw in radical form is √122 inches.
What is rectangular prism?A rectangular prism is a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid.
The rectangular box is in the shape of rectangular prism.
For the given situation,
Length of the rectangular box, l = 9 inches
Breadth of the rectangular box, b = 5 inches
Width of the rectangular box, w = 4 inches
The formula to find the diagonal of the rectangular prism is
[tex]d=\sqrt{l^{2}+b^{2}+w^{2} }[/tex]
⇒ [tex]d=\sqrt{9^{2}+5^{2}+4^{2} }[/tex]
⇒ [tex]d=\sqrt{81+25+16}[/tex]
⇒ [tex]d=\sqrt{122}[/tex]
Hence we can conclude that the diagonal of the straw in radical form is √122 inches.
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A scuba diver is at a depth of -14 ft. Her
elevation changes -2 ft per second. How many
seconds will it take her to reach a depth of
79ft? Write and solve an equation.
On solving the provided question, we can say that - by the help of unitary method seconds will it take her to reach a depth of 79ft is = 39.5
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
here,
scuba diver is at a depth of = -14 ft
elevation changes = -2 ft per second.
seconds will it take her to reach a depth of 79ft is = 39.5
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45 PTS (find:m<3) don’t explain.
Answer:
142
Step-by-step explanation:
38+x = 180
x = 142
is the following table Proportional or Non proportional?
HELP PLS:(
Answer: proportional
Step-by-step explanation: I took the test and looked it up on 3 different websites like duh
Write mathematical sentence of X→ a.
Answer:
X tends to a or x approaches to a .
Which value is an exact solution of the equation
Answer:
it's B
Step-by-step explanation:
becaus the exact form of m is the square root of 14
pls mark as brainliest lol
Answer:
[tex]\sqrt{14}[/tex]
Step-by-step explanation:
m is squared, so it would have to be the square root.
At the gift shop entrance, fans go
through security at a rate of 15 people in
25 seconds. At that rate, approximately
how many people will go through security
in 135 seconds?
11a + 12b = does it equal 23ab or not
Answer:
no it doesn’t.
Step-by-step explanation:
help meh...............
Answer:
Angles 6, 4, and 2 are congruent to angle 8.
Step-by-step explanation:
By the Opposite Angles Theorem, angle 6 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 4 is congruent to angle 8.
By the Corresponding Angles Theorem, angle 2 is congruent to angle 6, and angle 6 is congruent to angle 8, so angle 2 is congruent to angle 8 by the Transitive Property.
What is the 3 example of quadratic equation?
The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2
The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.
Here the examples of quadratic equations in other forms is written as follows:
=> x(x - 2) = 4
Here we have to multiply and then moving the 4, then we get the quadratic expression as,
=> x² - 2x - 4 = 0
Another example like the following,
=> x(2x + 3) = 12
Here we have to multiplying and moving the 12, then we get the resulting expression as,
=> 2x² - 3x - 12 = 0
Final example for quadratic expression is written as
=> 3x(x + 8) = -2
When we multiplying and moving the -2, then we get the simplified form as
=> 3x² + 24x + 2 = 0
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Khalil's birthday party costs $11, plus an additional $9 for each guest he invites. Is the total cost directly proportional to the number of guests?
Answer:
20, yes
Step-by-step explanation:
11+9=20
If he is charged $9 for each guest then it will make a huge impact to the number of guests.
what is the value of x?
Answer:119
Step-by-step explanation:
because it's on oppisite sides on the outside
Answer:
C) 119°------------------------------
The two given two angles are alternate exterior angles and therefore congruent according to alternate exterior angles theorem:
x = 119°Definition:
Alternate exterior angles are the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.Please help easy
A) 30/40
B)22/40
C)18/40
D)10/40
Answer:
D
Step-by-step explanation:
What is a 2 step equation example?
The general two steps to solve the two-step equations are:
Step 1: Addition and subtraction to isolate the variable.
Step 2: Multiplication or division to determine the value of the variable.
Now, According to the question:
Solving Two Step Equations:
Two step equations are very easy to solve. It includes just one extra step as compared to one-step equations to solve. We can solve a two-step equation by isolating the variable (usually represented by an alphabet or letter) on one side of the equation and all other values on the other side. The general two steps to solve the two-step equations are:
Step 1: Addition and subtraction to isolate the variable.
Step 2: Multiplication or division to determine the value of the variable.
Generally, two step equations are of the form ax + b = c, where a, b, c are real numbers. A few examples of two step equations are:
2x + 3 = 70.3y + 5 = 1(2/3)z - 12 = 10Learn more about Two-Step equation at:
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Help help help help help
Answer:
area = 254.5 m²
Step-by-step explanation:
area = πr² = (3.14159)(9²) = 254.46 m²
write as the opposite of a square root: -2 times square root of 3
the answer would be -144
you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144
PLEAS EHLP ME I DONT UNDERSTAND EXTRA POINTS AND BRAINLIEST PLEASE HLEPS!!!!!!!!!!!!!!!!!!!!
Karsik borrowed $8,500 from a bank. During a period of five years, he paid a total of $2,125 in interest. What was the simple annual interest rate that the bank charged Karsik for his loan?
0.05%
0.5%
5%
7.7%
Answer:
5%
Step-by-step explanation:
A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a Square unit?
Answer:
Your answer is 539.93
Step-by-step explanation:
A = pi*r²
A = pi* 13²
A = pi*169
A = 539.93
7. $5,000 was invested at a simple interest
rate. In 15 years, the account was worth
65 hundred dollars. What was the interest
rate?
A 0.2%
B 1.5%
C 2%
D 2.15%
Answer:
C. 2%
Step-by-step explanation:
(6500-5000) / 15 / 5000 x 100% = 1500 / 15 / 5000 x 100% = 100 / 5000 x 100% = 0.02 x 100% = 2%
ALGEBRA 2 - Exponential and Logarithmic Functions
John invests $25,000 in an account that pays 4.75% annual interest compounded continuously. How many years, to the nearest tenth, will it take for John’s investment to triple?
Answer:
The equation you would use to solve this problem is:
A = P * e^(rt)
Where A is the final amount, P is the initial amount, r is the interest rate, and t is the number of years.
We can rearrange the equation to solve for t:
t = (ln(A/P)) / r
Plugging in the values we know:
t = (ln(3*25000/25000)) / (0.0475)
t = (ln(3)) / (0.0475)
t = 4.93 years
So it will take about 4.9 years for John's investment to triple, to the nearest tenth.
Step-by-step explanation:
Please help don’t give link if your right you get brainliest
Answer:
rotation, dilation
Step-by-step explanation:
On the question it shows how it is supposed to be ordered, triangle LMN is similar to triangle PQR which means LM and PQ are similar sides and MN and QR are similar, etc.
it is rotation because the P is facing the left side while L is facing upward.
it is dilation because triangle PQR shrunk into a smaller triangle.
Find the solutions to x² = 24.
OA. x= 16-√4
B. x = +2√6
O C.
x = +6√ √2
OD. x +4√6
Answer:
x = 2[tex]\sqrt{6}[/tex]
Step-by-step explanation:
[tex]\sqrt{24}[/tex] = [tex]\sqrt{(2)(2)(2)(3)}[/tex] We can pull out a pair of 2's
2[tex]\sqrt{(2)(3)\\}[/tex] = 2[tex]\sqrt{6}[/tex]
The rate of growth dP / dt of a population of bacteria is proportional to the square root of t, where P is the population size and t is the time in days (0 ? t ? 10) as shown below.
dP/dt=k \sqrt{t}
The initial size of the population is 300. After 1 day the population has grown to 600. Estimate the population after 8 days. (Round your answer to the nearest whole number.)
The population of bacteria after 8 days is 7088
Here, we have been given an equation for the rate of growth of a population of bacteria
dP/dt = k√t
where P is the population size
and t is the time in days (0 ≤ t ≤ 10)
We rewrite above equation as,
dP = k√t dt
Integrating both sides, we get,
P = (2/3) × kt^(3/2) + C
We find the value of C.
For t = 0, P = 300 as the initial size of the population is 300.
Substitute t = 0 in above equation.
300 = 0 + C
C = 300
So, the above equation becomes,
P = 300 + (2/3) × kt^(3/2) .......(1)
Now we find the value of k.
After 1 day the population has grown to 600.
substitute t = 1, P = 600 in equation (1)
600 = 300 + (2/3) × k
(2/3)k = 300
k = 900/2
k = 450
So, the equation of population of bacteria after time t is:
P = 300 + [(2/3) × 450 × t^(3/2)]
P = 300 + 300 × t^(3/2)
P = 300 (1 + t^(3/2))
To find the population after 8 days, substitute t = 8
P = 300 (1 + 8^(3/2))
P = 7088.22
P ≈ 7088
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Write the equation of the line, that passes through the points (- 6, 1) and (10, 0)
Equation:
Now, write an equation of a line that is parallel to the above line and passes through point (-7, 2) in all three forms below.
Point-Slope Form
Slope-Intercept Form
Standard Form
The equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is that the line passes through the points (- 6, 1) and (10, 0).
The slope of the line will be -
{m} = (0 - 1)/(10 + 6) = -1/16
{m} = -1/16
We can write the equation as -
y = - (1/16)x + c
For the point (10, 0), we can write -
0 = - (1/16) x 10 + c
0 = - (10/16) + c
c = 10/16
c = 5/8
So, we can write the equation as -
y = - (1/16)x + (5/8)
The equation of a line that is parallel to the above line and passes through point (-7, 2) is as follows -
y = - (1/16)x + c
2 = - (1/16) x - 7 + c
c = 2 - 7/16
c = 25/16
y = - (1/16)x + (25/16)
Therefore, the equation of the line, that passes through the points (- 6, 1) and (10, 0) is y = - (1/16)x + (5/8) and the equation of a line that is parallel to the above line and passes through point (-7, 2) is y = - (1/16)x + (25/16).
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The times taken by 25 people to complete a puzzle are shown. Draw a frequency polygon for data.
To create a frequency polygon calculate the midpoint, locate the midpoints and connect them with lines.
What is a frequency polygon?A frequency polygon is a form of graph that shows how frequently a particular variable—in this case, the amount of time it takes for people to finish a puzzle—occurs.
So, we must determine the midpoint or average of the range for each category.
0 < t < 10 = 5
10 < t < 20 = 15
20 < t < 30 = 25
30 < t < 40 = 35
2. Add a point where the data of the axis Y and X form an intersection.
3. Connect the points.
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Given: (↔AB) ║ (↔CD)
If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of (↔AB) is (?) . If the coordinates of point D are (5 , 5), the equation of line (↔CD) is y =(?) x +(?).
can someone please help me figure out what the (?) is.
Answer:
1. 56/5
2. -7/5
3. 12
Step-by-step explanation:
What the function?
y = 2.5x + 8
Answer:
Step-by-step explanation:
This is a linear function with y-intercept (0, 8) and slope 2.5.
Solve = 3/5k + 7/10 = 11/15k – 2/5
i get 11/2 is this wright answer??
The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.
Characteristics of numbers that divide by 9A number is divisible by 9 if the sum of its digits is also 9-divisible.
Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.
Using the aforementioned attribute, we can say
3 + A + A +1 = 9, 18, or 27
4 + 2A = 9, OR 18, OR 27
taking 18
2A = 18 - 4
2A = 14
A = 7
Because of this, the whole digits are 3771
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Are 3 4 5 triangles always right?
No, three 4 5 triangles are not always right triangles.
A right triangle is a triangle in which one of the angles is a right angle (90°). Therefore, in order to be a right triangle, the following criteria must be met: a^2 + b^2 = c^2, where c is the longest side and a, b are the other two sides. In a 3 4 5 triangle, the longest side is 5, so a^2 + b^2 = c^2 becomes 3^2 + 4^2 = 5^2. Using simple algebra, this equation becomes 9 + 16 = 25, which is true. Therefore, a 3 4 5 triangle is a right triangle. However, if one of the sides is different, for example a 3 4 6 triangle, the equation becomes 9 + 16 = 36, which is not true. Therefore, a 3 4 6 triangle is not a right triangle. To summarize,3 4 5 triangles are right triangles, but three 4 6 triangles are not.
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