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4 years ago

9

Stephanie is twice as old as her sister Rosa. If Stephanie is 18 years old, how old is Rosa?

2 answers:

Ghella [55]4 years ago

7 0

Answer:

Stephanie is 18years old and she is twice older than her sister

so rosa is 18÷2(since stephanie is twice older than rosa

so rosa is 9 years old

ruslelena [56]4 years ago

3 0

Answer:

rose. is. 18/2=9 years old

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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 $185553.7\text{ feet}^3$

5 0

3 years ago

If sin θ = cos 40°, 0<θ<90°, what is θ?

Bezzdna [24]

Answer:

θ = 50 degrees

Step-by-step explanation:

we have sin θ = cos 40°

θ = arcsin ( cos 40°)

and make sure θ is less than 90 and greater than 0

θ = arcsin (0.766044443)

θ = 50 degrees

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4 years ago

Please help! The answer to this is 2 but I don't know how to actually solve it so can someone please show the work for this?

s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

basically logarithms are like reverse exponents

log7, 49 is basically asking 7 to the what gets you 49

because of that its 2 because 7^2 gets you 49

4 0

3 years ago

Read 2 more answers

What is 3.75 multiplied 2.6

Ivanshal [37]

Answer:

The answer to that is 9.75

Step-by-step explanation:

Hope this helps! Good luck

8 0

3 years ago

Read 2 more answers

What is 0.68 expressed as a fraction in simplest form? Both the 6 and the 8 repeat.

andreev551 [17]

Answer:

68/99

Step-by-step explanation:

.68686868686 repeating

Let x= .68686868668repeating

Multiply by 100

100x = 68.686868686repeating

Subtract x = .68686868repeating from this equation

100x = 68.686868686repeating

-x = .68686868repeating

------------------------------------------

99x = 68

Divide each side by 99

99x / 99 = 68/99

x = 68/99

3 0

3 years ago