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olya-2409 [2.1K]

3 years ago

10

Simplify 5 to the negative 4th power over 5 to the 3rd.

1 answer:

deff fn [24]3 years ago

8 0

5^-4/5^3
=5^-4-3
=5^-7
=78125

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Find the volume to the nearest cm3<br> 20 cm<br> 35 cm<br> 12 cm

riadik2000 [5.3K]

Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
V = 10380cm^3

3 0

3 years ago

PLEASE ANSWER ASAP!!!!

Arlecino [84]

We'll use the notation $\textrm{Arcsin } x$ for the principal value and $\arcsin x$ for all the values:

$\arcsin x = \textrm{Arcsin } x + 2\pi k \textrm{ or } (\pi - \textrm{Arcsin }x) + 2\pi k \quad \textrm{ integer } k$

Part I

$\sin(\theta/2) = \frac 1 2$

$\theta/2 = \arcsin \frac 1 2$

Part II. In our range we can write

$\sin(\theta/2) = \sin(\frac \pi 6)$

$\theta/2 = \frac \pi 6 \textrm{ or } \theta /2 = \pi - \frac \pi 6 = \frac{5\pi}{6}$

Part III.

$\theta = \frac \pi 3 \textrm{ or } \theta = \frac{5\pi}{3}$

Part IV.

$\theta/2 = \frac \pi 6 + 2\pi k \textrm{ or } \theta = \frac{5 \pi}{6} + 2\pi k \quad \textrm{integer } k$

$\theta = \frac \pi 3 + 4 \pi k \textrm{ or } \theta = \frac{5 \pi}{3} + 4\pi k \quad \textrm{integer } k$

5 0

3 years ago

In ΔUVW, the measure of ∠W=90°, UV = 71 feet, and VW = 11 feet. Find the measure of ∠V to the nearest degree

Artyom0805 [142]

Answer:

81°

Step-by-step explanation:

Please refer to the attachment(s) for explanations

5 0

3 years ago

The equation y=20646 x 0.86^x estimates the value of a brand of car x years after it was purchased new. milo purchased this bran

torisob [31]

20646(.86^11) = 3929

5 0

3 years ago

Read 2 more answers

3m-5p=12 solve for p

umka21 [38]

3m - 5p = 12

3m(-3m) -5p = (-3m)+ 12
-5p = -3m + 12
(-5)/-5p = (-5)/ (-3m + 12)
p = 3/5m + 12/-5

5 0

3 years ago

Read 2 more answers