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3 years ago

What are 3 different quotients that equal 4 to the negative 5th power

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

8 0

4^-5=1/1024 or 2/2048 or 3/3072

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Ethan earns $10 every hour for walking Ms. Barn's two dogs, plus an additional $7

MatroZZZ [7]

H=hour
10h+7=32 would be the best equation. Hope this helps!

3 0

2 years ago

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?

Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B + 90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0

3 years ago

Find the quotient simplify your answers a+3 over a divided by 8 over a

mihalych1998 [28]

ANSWER

$\frac{a + 3}{8}$

EXPLANATION

We want to simplify

$\frac{a + 3}{a} \div \frac{8}{a}$

We multiply the first fraction by the reciprocal of the second fraction to obtain,

$\frac{a + 3}{a} \times \frac{a}{8}$

We cancel the common factors to get,

$\frac{a + 3}{1} \times \frac{1}{8}$

This gives us,

$\frac{a + 3}{8}$

4 0

2 years ago

You lean a 30 foot ladder against your house and it reaches exactly to the top. The ladder makes a 24 degree angle with the grou

zhenek [66]

A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.

If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft

Therefore, the house is 12.20 ft tall

4 0

2 years ago

What is the volume of this cylinder?

Anastasy [175]

Answer:

150.72 mm^3

Step-by-step explanation:

volume = (pi)(r^2)h

volume = 3.14 * (4 mm)^2 * 3 mm

volume = 3.14 * 16 mm^2 * 3 mm

volume = 150.72 mm^3

7 0

3 years ago