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2 years ago

PLEASE HELP Solve. m^-5 = 1/32 m = ________ ?

1 answer:

3 0

$a^{-n}=\frac{1}{a^n}\\\\m^{-5}=\frac{1}{32}\iff m^5=\frac{1}{\frac{1}{32}}\to m^5=32\iff m=\sqrt[5]{32}\to m=2\\\\because\ 2^5=32\\\\Answer:\boxed{m=2}$

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Use the exterior angle theorem to find the value of x in the triangle below.

Arisa [49]

Answer:

Option A

Step-by-step explanation:

By using the definition of an exterior angle of a triangle,

"Measure of the exterior angle of a triangle is equal to the sum of measures of the opposite interior angles"

m∠STP = m∠SWT + m∠STW

Substitute the measures of the angles from the picture attached,

15x = (7x + 1) + (7x + 6)

15x = (7x + 7x) + (1 + 6)

15x = 14x + 7

15x - 14x = 7

x = 7

Therefore, Option A will be the correct option.

7 0

3 years ago

Use the unit circle to find all values of thetabetween 0 and 2Ï€ for which sin(theta)=sqrt 3/2

ElenaW [278]

Sin(theta)=√3/2, 0≤theta≤360
In a unit circle, sin is y/r, r is always positive, y is positive in the first and second quadrant only.
sin60=√3/2, sin120=√3/2
so theta is 60 or 120

5 0

2 years ago

Help help help help math math

emmainna [20.7K]

Answer:

L = 5u

Step-by-step explanation:

area = 8 × L

L = area ÷ 8

40 ÷ 8 = 5

L = 5u

7 0

3 years ago

Can any math genius help me with this

vovangra [49]

Here's my working for 1) You need to find the exterior angle, then divide by 360 to find the number of sides:

Applying these steps : 

180 (Interior Angles) - 162 = 18 (Exterior angle)

360 ÷ 18 is 20 sides 

For 2)

Its the same method, so apply the steps:

180 - 175 = 5

360 ÷ 5 = 72 sides 

Hope it helps! :) 

8 0

2 years ago

A rectangular field is 27 meters long and 18 meters wide. If fencing costs $12 per yard, how much will it cost to enclose the fi

Zina [86]

Answer:

1080 dollars

Step-by-step explanation:

Well you said yards and meters but imma ingore that.

So the perimeter is 27+27+18+18 = 90

90*12= 1080

7 0

3 years ago

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