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3 years ago

Write the expression (−7)·(−7)·5·5·5·5 using exponents.

Mathematics

1 answer:

TEA [102]3 years ago

3 0

Answer:

-7² · 5⁴

Step-by-step explanation:

-7 is being multiplied by itself 2 times and 5 is being multiplied by itself 4 times.

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Geometry

Elan Coil [88]

By definition, the number $\pi$ is the ratio between the circumference and the diameter:

$\pi=\dfrac{C}{d}$

This implies that

$C=\pi d$

And so your circumference is $8\pi$

3 0

3 years ago

An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

6 0

3 years ago

Find the the measure of angle 6

hodyreva [135]

It’s 61 since it’s across

6 0

3 years ago

Read 2 more answers

Determine the slope of each line.

faust18 [17]

(2,-2)(5,7)

7-(-2)= 9
5-2= 3
9/3= 3

slope = 3

(you could also calculate the slope by just counting up how many units it goes up/down when you pick a point from the x-axis and move left/right. basically counting the rise over run)

7 0

3 years ago

Which domain restrictions apply to the rational expression?

dimulka [17.4K]

1) it must be fulfilled that the denominator is different from zero, then for this expression

x^2 -9 ⇒ x^2-3^2 = (x-3)(x+3)⇒ (x-3)(x+3) = 0 ⇒ x = 3 o x = -3 , the dominium is all numbers reals except 3 and -3

5 0

3 years ago