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Kipish [7]
3 years ago
14

Simplify the expression: 4(-4+n) =

Mathematics
1 answer:
hichkok12 [17]3 years ago
8 0
-16+4n


Just have to simplify
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Find cosθ, cscθ, and tanθ, where θ is the angle shown in the figure. Give exact values, not decimal approximations.
NNADVOKAT [17]

Answer:

see explanation

Step-by-step explanation:

To find cscθ we require to find the third side of the triangle.

let 3rd side be x and using Pythagoras' identity

x² + 8² = 9²

x² + 64 = 81 ( subtract 64 from both sides )

x² = 17 ( take square root of both sides )

x = \sqrt{17}

Then

cosθ = \frac{adjacent }{hypotenuse} = \frac{8}{9}

cscθ = \frac{hypotenuse}{opposite} = \frac{9}{\sqrt{17} }

tanθ = \frac{opposite}{adjacent} = \frac{\sqrt{17} }{8}

3 0
2 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
Kamila [148]

Hello!

To find the volume of a cone, use the formula: V = 1/3πr²h.

In the photo, the height is 6 units, and the diameter is 8 units. Since the radius is half the diameter, then the radius is 4 units.

V = 1/3π(4)²(6)

V = 1/3(6)(16)π

V = 2(16)π

V = 32π

V = 100.5309... This can be rounded to about 100.5.

Therefore, the volume of this cone, is about 100.5 units³.

8 0
3 years ago
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Which of the following phrases translates to the expression n - 8?
weqwewe [10]

Answer:

B. eight fewer than a number

3 0
3 years ago
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Evaluate k to the 6th power times p to the -7 power when k is 2 and p is -1
Solnce55 [7]

\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad a^n\implies \cfrac{1}{a^{-n}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
k^6p^{-7}~~
\begin{cases}
k=2\\
p=-1
\end{cases}\implies (2)^6(-1)^{-7}\implies \cfrac{2^6}{(-1)^7}\implies \cfrac{64}{-1}\implies -64

7 0
3 years ago
A + 12.5 = 20 <br> Solve the following equation and show work
makkiz [27]
A + 12.5 = 20
- 12.5 -12.5
———————
A = 7.5
The answer is 7.5
5 0
3 years ago
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