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3 years ago

Find the the length of the unknown side round to the nearest tenth

Mathematics

1 answer:

andrew11 [14]3 years ago

3 0

Answer:

The length of the missing side b would be 16m

Step-by-step explanation:

first you would use the formula a2+b2=c2

12^2+b2=20^2

-take 12*12 and 20*20

144+b2=400

-subtract 144 from 400 in order to get b2 alone

b2=256

-take the square root of b and 256

b=16

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Ksivusya [100]

Answer:

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Step-by-step explanation:

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2 years ago

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abruzzese [7]

If z ⁷ = 128i, then there are 7 complex numbers z that satisfy this equation.

$z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}$

$\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}$

(where n = 0, 1, 2, …, 6)

$\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}$

$\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)$

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2 years ago

Shelly and Mickelle are making a quilt . They have a piece of fabric that measures 48 inches by 168 inches . All pieces of fabri

stiv31 [10]

Answer:

Step-by-step explanation:

Given the following :

Dimension of fabric = 48 by 168

What is the length of the largest square pieces into which shelly and mickelle can cut the fabric?

To obtain this, find the greatest common factor of both numbers in the dimension:

Using the table format:

___ _48 ____168

_ 2__24 ____ 84

_2__12 _____42

_2__6 _____ 21

_3__3______ 7

Since there is no number which can divide both anymore

The greatest common factor = (2 * 2 * 2 * 3) = 24

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3 years ago

1/4x + 2/5x = 39

FrozenT [24]

Answer:

(a) $x = 60$

(b) $x = 2.64$

Step-by-step explanation:

Solving (a):

$\frac{1}{4}x + \frac{2}{5}x = 39$

$\frac{x}{4} + \frac{2x}{5} = 39$

Take LCM

$\frac{13x}{20} = 39$

Multiply through by 20

$20 * \frac{13x}{20} = 39 * 20$

$13x = 39 * 20$

$13x = 780$

Solve for x

$x = 780/13$

$x = 60$

Solving (b):

$0.6x + 0.5x = 2.9$

This gives:

$1.1x = 2.9$

Solve for x

$x = \frac{2.9}{1.1}$

$x = \frac{29}{11}$

$x = 2.64$

Solving (c):

$\frac{3}{5}x = 9$

Multiply both sides by $\frac{5}{3}$

$\frac{5}{3}*\frac{3}{5}x = 9 * \frac{5}{3}$

$x = 9 * \frac{5}{3}$

$x = \frac{9 *5}{3}$

$x = \frac{45}{3}$

$x=15$

7 0

3 years ago

The distance from the center of a round table top to the edge of the table top is 4 ft. What's the area of the table top?

son4ous [18]

C would be the answer because to find the area of a circle A=pi times radius squared and you put that in a calculator and get 50.24

8 0

3 years ago

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