Answer:
-1
Step-by-step explanation:
We can find the slope by the change in y over the change in x
change in y = down 3 which is -3
change in x = to the right 3 = 3
change in y/ change in x = (-3/3) =-1
Answer:
r ≈ 2.39 inches.
Step-by-step explanation:
I think your question is missed of key information of the height, allow me to add in and hope it will fit the original one.
<em>The cylinder shown has a lateral surface area of about 750 square inches. Which answer is closest to the measure of the cylinder's radius? Use 3.14 to approximate pi. the height being 50 inches.</em>
My answer:
Given that the lateral surface area of about 750 square inches and its height is 50 inches.
We have the formula ti find the surface area of the cylinder is:
S = h(2πr)
<=> 750 = 50*2*3.14*r
<=> r ≈ 2.39 inches.
Hope it will find you well.
Answer:
Well to start out you have 5 reindeer. If you glue Lancer and Ezekiel together you only have 4 units to arrange in different orders. That number is 24. But for each of those, Lancer and Ezekiel can be arranged in two ways... with Lancer in front of the pair or in the back of the pair. So altogether there are 48 ways to arrange the five reindeer with Lancer and Ezekiel always being together.
The volume of a rectangular prism is its length times width times height, or algebraically,

. You may be used to computing volume with numbers, but remember, a variable is a stand-in for a number. So you can solve this in the same way. Substitute

into the formula for volume. You get

, and you multiply these factors together. As you would with ordinary fractions, multiply the numerators and denominators across. You get

. It seems that the book wants you to simplify by bringing the 6 up to the denominator. Recall the rule

, if n is non-negative. The opposite applies so that

. For your final answer, you write

. This corresponds to
answer choice B.
Answer:
27.3
Step-by-step explanation:
y=a(1/2)^t/h
Plug in
22=30(1/2)^t/61
Divide both sides by 30
0.7333333333=(1/2)^t/61
Log both
Log(0.7333333333) / Log(1/2)
0.447458977 = t/61
0.447458977 x 61 = t
27.2949976 to the nearest tenth is 27.3 = t