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3 years ago

What is the measure of angleS

Mathematics

1 answer:

Leviafan [203]3 years ago

7 0

51 degrees, because using complimentary angles you can calculate that the angle S is half that of angle C

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Do all animals have the same life span. Explain your answer

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No, because every animal is different.

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3 years ago

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

Audrey deposited $40,000 in a savings account with simple interest. Five years later, she had earned $30,000 in interest. What w

Fittoniya [83]

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$30000\\ P=\textit{original amount deposited}\dotfill & \$40000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &5 \end{cases} \\\\\\ 30000=(40000)(\stackrel{\%}{\frac{r}{100}})(5)\implies \cfrac{30000}{(40000)(5)}=\cfrac{r}{100}\implies \cfrac{3}{20}=\cfrac{r}{100} \\\\\\ \cfrac{300}{20}=r\implies \stackrel{\%}{15}=r$

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2 years ago

CAN SOMEONE HELP ME WITH THIS!!

DIA [1.3K]

Answer:

Number of dogs = 6

Number of burgers = 11

Step-by-step explanation:

Number of dogs = x

Number of burgers = 2x - 1

Cost of a dog = $ 1.50

Cost of 'x' dogs = 1.5x

Cost of a burger = $ 2

Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2

= 4x - 2

Total amount collected = $ 31

1.5x + 4x - 2 = 31 {add 2 to both sides}

1.5x + 4x = 31 + 2

1.5x+ 4x = 33

5.5x = 33

x = 33/5.5

x = 6

Number of dogs = 6

Number of burgers = 2*6 - 1 = 12 - 1 = 11

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3 years ago

MORE EASY 7TH GRADE MATH X/2=95 THANK YOU

SIZIF [17.4K]

Answer:

X/2=95

X= 95*2

X=190

Step-by-step explanation:

can i have brainliest please

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3 years ago

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