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docker41 [41]
3 years ago
12

Please help I don't understand this!

Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

0.9950   to the nearest ten thousandth.

Step-by-step explanation:

We use the identity sin^2 t = 1 - cos^2 t

sin^2 t = 1 - (0.1)^2

= 0.99

So sin t = 0.9950 (answer).

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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
Claire runs a rooftop nursery in the heart of the city. One day, she cuts 25 tulips, 32 violets, and 40 sunflowers. She sells th
jekas [21]

Answer:

(2) and (3)

Step-by-step explanation:

(2) shows the total cost of the flowers, minus 10% of the total cost, and 100% - 10% = 90%

(3) shows them taking 90% of the total cost, just like (2)

4 0
3 years ago
What is the y-intercept of a line that has a slope of 1 over 4 and passes through point (8, 3)? 1 3 5 11
Sindrei [870]

Sorry, my answer was wrong. I can't delete it so as not confuse anybody i changed it to this.

4 0
3 years ago
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<h2>what is the equation so i could answer it </h2>
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I need help please .
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