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3 years ago

A blank is a unit rate with a denominator of unit 1. What word is the blank?

Mathematics

1 answer:

natali 33 [55]3 years ago

7 0

A unit rate is a ratio that has a denominator of 1. A unit rate is also called a unit ratio. (They mean the same thing.) so my guess would be unit ratio

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t

Vlad1618 [11]

Answer:

$185553.7\text{ feet}^3$

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is $84\text{ feet}$ , and the total height of the building up to the top of the dome is $91\text{ feet}$ .

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be $h\text{ feet}$

As the dome hemispherical.

circumference of a hemisphere $=\frac{1}{2}\times2\pi\times radius$

$=\pi\times radius$

$\frac{22}{7}\times radius=84$

$radius=26.75\text{ feet}$

total height of the building up to the top of the dome $=\text{radius of hemisphere}+\text{height of mountaintop}$

$=26.75+h=91$

$h=64.25\text{ feet}$

Volume of building $=\text{volume of cylindrical mountaintop}+\text{volume of dome}$

$=\pi(radius)^2h+\frac{2}{3}\pi(radius)^3$

as radius of mountain top is same as dome

putting values

$=3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3$

$=145484.6+40069.1$

$185553.7\text{ feet}^3$

Hence the total volume of the building is $185553.7\text{ feet}^3$

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3 years ago

A recipe for a large batch of brownies uses one kilogram of sugar. Another recipe uses 800 grams of flour. How much sugar is nee

Nady [450]

1,600 800+800=1,600 this is your answer

7 0

3 years ago

Represent Real-world Problems If one store is selling of a bushel of apples for $9, and another store is selling of a bushel of

Firlakuza [10]

Better deal normlly means the rate that cost less
rate=cost/amount

9=cost and 3/4 bushel = amount for one store
3/4=0.75
9/0.75=12/1 aka $12/1bushel

9 =cost and 2/3 bushel =amount for another
2/3=about 0.66666
9/0.66666=13.5/1 aka $13.5/1 bushell

compare
12 dollars per bushe vs 13.5 dollar per bushel
12 is cheaper

therefor $9 For 3/4 bushel is better deal

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3 years ago

8 + 5n = -72 Solve the equation.

HACTEHA [7]

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3 years ago

Read 2 more answers

I WILL MARK AS BRAINLIEST!!! What is the value of x?<br><br> 8x+3=43

uysha [10]

8x+3=43
-3 -3
8x=40
/8 /8
X=5

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3 years ago