The volume of pyramid R is 144 cubic inches.
We have to find the dimensions of pyramid Q using the given information:
Volume of pyramid Q = 96 cubic inches
The volume of a pyramid is given by the formula:
Volume = (1/3) * base area * height
Since pyramid Q has a rectangular base, let's assume its base has dimensions length (L), width (W), and height (h).
Volume of pyramid Q = (1/3) * (L * W) * h
We are given that the volume of pyramid Q is 96 cubic inches:
96 = (1/3) * (L * W) * h
Now, let's move on to pyramid R:
Base area of pyramid R = (1/2) * base area of pyramid Q
Base area of pyramid R = (1/2) * (L * W)
Height of pyramid R = 3 * height of pyramid Q
Height of pyramid R = 3 * h
Now, we can calculate the volume of pyramid R using the same volume formula:
Volume of pyramid R = (1/3) * (base area of pyramid R) * (height of pyramid R)
Volume of pyramid R = (1/3) * ((1/2) * (L * W)) * (3 * h)
Volume of pyramid R = (1/2) * (L * W) * (h)
We know that the volume of pyramid Q is 96 cubic inches,
so (L * W) * h = 96*3 = 288.
Now, let's substitute this value into the formula for the volume of pyramid R:
Volume of pyramid R = (1/2) * 288
Volume of pyramid R = 144 cubic inches
So, the volume of pyramid R is 144 cubic inches.
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How much simple interest is earned on $4,000 at an interest rate of 2.25% in 4.5 years? Rounded to the nearest cent
Answer:
I = Prt
Step-by-step explanation:
I = 4000(.0225)(4.5)
I = $405
Molly increased her original score as a bowler by 20% giving her a new score of 75. What was her original score?
Answer:
62.5
Step-by-step explanation:
120% = 75
100% = ?
cross multiply
62.5
Her original score was 62.5
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, her new score as 75 then let his original score be x
then 75 = (1+20%) × x
x= 75/1.2
= 62.5
Hence, the original score is 62.5
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I plan on opening a savings account with $500 and leaving it in the account for 2 years. If the bank is going to pay me an interest rate of 3%, how much money will I have in the account at the end of 2 years?
Answer:
Future Value= $530.45
Step-by-step explanation:
Giving the following information:
Initial investment (PV) = $500
Number of periods (n) = 2 years
Interest rate (i)= 3% = 0.03
To calculate the future value (FV), we need to use the following formula:
FV= PV*(1+i)^n
FV= 500*(1.03^2)
Future Value= $530.45
Answer:
The answer is c
Step-by-step explanation:
50 x 2 x 34 x5 who has insta if so what is it and btw you dont have to answer this
i will mark branilest
Answer:can i get brainliest lol
Step-by-step explanation:
How many terms are in
Answer:
4
Step-by-step explanation:
what is 2 (3 x+ 7)+ x =70
Answer:
6 + 1 4 + = 7 0
Step-by-step explanation:
Answer:
x = 63/4
Step-by-step explanation:
______________________
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
Help! Hopefully y’all can see that alright..
Answer:
F and G
Step-by-step explanation:
A plane flies 1890 km in 3.5 hours how far will the plane fly in 4.2 hours if it maintains the same airspeed
Answer:
2268
Step-by-step explanation:
divide 1890 by 3.5 to receive 540 mph then multiply 540 by 4.2 and get 2268
Which transformation will carry a regular octagon onto itself?
Answer:
you have to move it to an adjacent side. hope this helped have a nice day:)
Please help i give brainly
Using a layaway plan, Bill bought a set of golf clubs for $1700. He has 6 months to pay off his balance after paying a down payment. The store does not charge a fee for their program. If Bill makes payments of $201 a month, how much did he need to use as a down payment in order to pay for the clubs
Answer:
$494
Step-by-step explanation:
Given that:
Cost of golf club = $1700
Number of months taken to balance payment after down payment = 6 months
Amount paid per month = $201
The down payment made :
Cost of golf clubs - (monthly payment * number of months)
$1700 - ($201 * 6)
$1700 - $1206
= $494
Hence, the downpayment made = $494
Starting from the origin , explain how to plot the following three points accurately :
(-1,1) (1,-15) (2,1/4)
Answer:
Do you have a graph so that I can answer ?
What is the perimeter, in feet, a rectangle whose length is twice its width and whose width is 8 feet?
Consider the polar curve r = 4sin(2θ). What is the length of each petal, and how many petals does the graph have?
a.The length of each petal is 2, and the number of petals is 2.
b.The length of each petal is 2, and the number of petals is 4.
c.The length of each petal is 4, and the number of petals is 2.
d.The length of each petal is 4, and the number of petals is 4.
Answer:
The length of each pearl is a given r= a cos(n 0) the answer is 4 and number of petals is 4 (I think )
Step-by-step explanation:
The length of the petal and number of petals of the rose curve is required.
The correct option is d.
The given curve is
[tex]r=4\sin(2\theta)[/tex]
The general equation of a rose curve is
[tex]r=a\sin(n\theta)[/tex]
where
a = Length of petal
n = Number of petals if [tex]n[/tex] is odd
and [tex]2n[/tex] if [tex]n[/tex] is even.
So, here
[tex]a=4[/tex]
[tex]n=2n=2\times 2=4[/tex]
So, length of each petal is 4 and the number of petals is 4.
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Write 0.4% as a fraction or mixed number in simplest form. I give brainliest.
Answer:
4 / 1000
Step-by-step explanation:
Start at -3, facing right Take 4 steps forward Take 22 steps backward Turn to face left Take 25 steps backward
What integer represents its final position?
The computation shows that the final integer is -44.
How to compute the value?Fron the information, it was stated that Start at -3, facing right Take 4 steps forward Take 22 steps backward Turn to face left Take 25 steps backward
The appropriate integer will be:
= -3 + 4 - 22 - 25
= -46
The final integer is -44.
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In which year was the Animal Welfare Act put into place? A1956 B 1966 C 1946 D 1976 help me plz i give a brain
Answer:
1966
Step-by-step explanation:
The Animal Welfare Act was put into place in 1966.
Match each graph with the correct equation from the equation bank. not all equations will be used
The equations for the given graphs respectively are y = (-1/3)x + 3, y = (1/3)x + 1, y = -3x, and y = x + 3.
The line in the first graph passes through the points (0, 3) and (3, 2).The equation of the line is :(y - 3) = [(2 - 3)/(3 - 0)](x - 0)y - 3 = (-1/3)xy = (-1/3)x + 3The line in the second graph passes through the points (0, 1) and (3, 2).The equation of the line is :(y - 1) = [(2 - 1)/(3 - 0)](x - 0)y - 1 = (1/3)xy = (1/3)x + 1The line in the third graph passes through the points (0, 0) and (1, -3).The equation of the line is :(y - 0) = [(-3 - 0)/(1 - 0)](x - 0)y = -3xThe line in the fourth graph passes through the points (-3, 0) and (0, 3).The equation of the line is :(y - 0) = [(3 - 0)/(0 - (-3))](x - (-3))y = x + 3To learn more about equations, visit :
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Which of the following is a factor of x2 − 8x + 15?
Answer:
(x−3)(x−5)
Step-by-step explanation:
Let's factor x2−8x+15
x2−8x+15
The middle number is -8 and the last number is 15.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -8
Multiply together to get 15
Can you think of the two numbers?
Try -3 and -5:
-3+-5 = -8
-3*-5 = 15
Fill in the blanks in
(x+_)(x+_)
with -3 and -5 to get...
(x-3)(x-5)
Answer:
x+5
Step-by-step explanation:
edge
use the function g (x) = √x-5 for the problem below which is what are the values of x for which g(x)=6?
Answer:
x = 121
Step-by-step explanation:
We are given;
g(x) = √x - 5
Now, we are told that g(x) = 6
Thus;
√x - 5 = 6
Add 5 to both sides to get;
√x = 11
Square both sides to get;
x = 121
20 points
if anybody knows anything about finding like the internal domain and if the function is decreasing please add me on snap I really need the help thankyou
Answer:
awesome 100✓jjjjjjjjjjj
Write an expression that uses subtraction and division that has a value of 3.
Answer:
12/2-3
Step-by-step explanation:
12/2-3
Answer:
12/2-3
Step-by-step explanation:
12/2-3
anyone know how to do tables?
Which equation shows
y = 3x - 1/5
in standard form?
I will mark brainliest!!
Answer:
15x-5y=1
Step-by-step explanation:
y=3x−15
The standard form of a linear equation is Ax+By=C.
Multiply both sides by 5.
5y=5(3x−15)
Simplify 5(3x−15).
5y=15x−1
Rewrite the equation with the sides flipped.
15x−1=5y
Move all terms containing variables to the left side of the equation.
15x−5y−1=0
Add 1 to both sides of the equation.
15x−5y=1
Manuel buys 7.9 pounds of strawberries. Each pound costs $3.89. Which expression gives the best estimate of the cost of the strawberries?
(8)($4)
(7)($4)
(8)($3)
(7)($3)
Answer:
A
Step-by-step explanation:
Mark ordered 6 boxes of baseballs that each contained 12 baseballs. Then he bought 7 more baseballs. Finally, he returned 3 baseballs because the seams were split. How would you calculate the total number of baseballs Mark has now?
Answer: 76 baseballs
Step-by-step explanation:
(boxes of baseballs) 12x6= 72. 72+7=79. 79-3=76. So 76 baseballs. Hope this helps :) Easy Math
Sanai is planning to visit her aunt in 5 weeks. She has saved $365 but thinks the trip will cost $500. She plans to save the same amount each week so she has $500 for the trip. How much does she need to save each week?
Answer:
$27
Step-by-step explanation:
$500 - $365= $135
Each week for 5 weeks = 5 times
135 ÷ 5 = 27.
$27
Find the exact length of the third side.
48
14
Answer:118
Step-by-step explanation:
It has to equal 180 degrees in total so 48+14=62
180-62=118
So the answer is 118
Write 7.36 as a mixed number in simplest form.
Answer:
184/25
Here are some extra characters.