The base of a square pyramid has a side length of 6 inches. The height of the pyramid is 12 inches. What is the volume of the pyramid? A. 108 in3 B. 36 in3 C. 72 in3 D. 144 in3

Answers

Answer 1

Answer: $a=6 \ in ,\ \ h= 12 \ in \n \nVolume = (1)/(3) B \cdot h \n \nB \ is \ the \ area \ of \ the \ base \nh \ is \ the \ height \n \n B =a^2 \n \nV =(1)/(3)\cdot a^2\cdot h =(1)/(3)\cdot 6^2 \cdot 12=36\cdot 4 = 144 \ in^3 \n \nAnswer : \ D. 144 in^3$

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1. If you get 6/14 on a test, what percent did you get? 2. If you get 8/15 on a test, what percent did you get?

Answers

percent means per 100
set up
1) 6/14 = x/100 solve for x,

2) 8/15 = x/100 solve for x

x is the amount out of 100 = the percent you got on the test

The diagram below shows the contents of a jar from which you select marbles at random.a. What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
b. What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
c. Are the answers to parts (a) and (b) the same? Why or why not?

Answers

So,

There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.

a.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
$(4)/(16) \ or\ (1)/(4)$

Next, the probability of selecting a blue marble.
$(7)/(16)$

Multiply the probabilities together.
$(1)/(4) * (7)/(16) = (7)/(64)$
That is the probability for event a.

b.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
$(4)/(16) \ or\ (1)/(4)$

Next, the probability of selecting a blue marble WITH A RED MARBLE REMOVED.
$(7)/(15)$

Multiply the probabilities together.
$(1)/(4) * (7)/(15) = (7)/(60)$
That is the probability for event b.

c.
Obviously:
$(7)/(64) \neq (7)/(60)$
So the answer is no.

After cutting the recipe in half, ricardo needed 3 cups of flour.

Answers

x* $(1)/(2)$ =3
You divide each side by $(1)/(2)$
x=3× $(1)/(2)$
3÷ $(1)/(2)$ =6
x=6
Check
6× $(1)/(2)$ =3
This is the equation

6CupsIs needed 6/2 is 3 cups !

Write a sentence describing a situation that could be represented by the equation 4 divided by 1 1.3 = ?

Answers

Answer: The answer would be like this. I have 11.3 dollars. I want to split it with my four friends. what would the cost of each friend have.

Step-by-step explanation:

You could write a sentence that involves 11.3, the whole number 4, and the operation, dividing. EXAMPLE ; I have 4 apples. I want to divide all of them in 11.3 tenths equally. What is my answer?

Explainhow to use the break apart strategy to find 247+358

Answers

You can do expanded form. 200+40+7= 247
+30

0+50+8= 358

Two circles have the same radius. Is the combined area of the two circles the same as the area of a circle with twice the radius? Explain.

Answers

ok so area=pir^2

2 circles with same area=2pir^2

circle with 2 times radius=pi(2r)^2=pi4r^2=4pir^2

is 2 circles with same area equal to circle with 2 times radius?
is 2pir^2=4pir^2?
is 2=4?
no

therfor the answer is no

it is because the radius is squaered so the doubled gets doubled makng it quadrupuled when the first one only gets doubled

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