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Aleks04 [339]
3 years ago
11

16)

Mathematics
1 answer:
vredina [299]3 years ago
4 0

Answer:

A)

Step-by-step explanation:

Similar figures have corresponding angles equal.

Vertex S corresponds to Vertex N, so angel S is also 42°

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Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tre
german

Answer:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

Step-by-step explanation:

Volume of a cone is given by the formula  

V=\frac{1}{3}\pi r^2 h

Where r is the radius and

h is the height

Given radius r = 2 and

height is 2 times that.

So height is 2*2 = 4

Plugging these into the formula we get:

Volume of Cone =

=  \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3

Thus, Volume = 16.75 cubic feet

8 0
3 years ago
Plz somebody help. ^_^
pickupchik [31]

Answer:

sin θ =  15/17

Step-by-step explanation:

First we have to know how much the hypotenuse measures.

to take out the hypotenuse we will use pitagoras, with the following formula.

h^2 = c1^2 + c2^2

c1 = 8

c2 = 15

h^2 = 8^2 + 15^2

h^2 = 64 + 225

h = √ 289

h = 17

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin θ = o/h

cos θ= a/h

tan θ = o/a

we want to know the sin of θ

sin θ = o/h

sin θ =  15/17

5 0
3 years ago
6 4/5 divided by 3 2/9
KiRa [710]
It would be: 6 4/5 / 3 2/9
= 34/5 / 29/9
You can re-write it as:
= 34/5 * 9/29
= 306/145

In short, Your Answer would be 306/145

Hope this helps!
4 0
3 years ago
Translate this sentence into an equation. The product of dianes height and 2 is 32. Use the variable d to represent dianes heigh
DanielleElmas [232]
D•2=32 D=16 Product is a quantity obtained by multiplying quantities together
5 0
3 years ago
a(t) = (t - k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant. Given that a(2) = 0, what is the absol
koban [17]
If a(2) = 0, then k=2. The product of the zeros is
(2)*(3)*(6)*(-3) = -108

The absolute value of the product of zeros of a(t) is 108.
4 0
3 years ago
Read 2 more answers
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