Write the expression (x4)8 in simplest form.

Radius is dash of the diameter

goldfiish [28.3K]

Answer:

Step-by-step explanation:

Radius is 1/2 of the diameter

or

Diameter is 2 of the radius

6 0

3 years ago

A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards

emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where w is width, and l, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

$187 = w^{2} +6w$

$w^{2} +6w-187 =0,$

Using the quadratic formula $w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}$ where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

$w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}$

$w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}$

We have two options: $w=\frac{-6+28}{2}=\frac{22}{2}=11 yards$

Or

$w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards$ But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length $l =\frac{187}{11}=17 yards$

6 0

3 years ago

What I’d the first step? How do I find angle A?

BartSMP [9]

Answer:

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7 0

3 years ago

Read 2 more answers

a right triangle has a height of 20 centimeters and a base of 10 centimeters.what is the area of the triangle?

viktelen [127]

Answer:

The area of the right triangle is 100 centimeters squared.

Step-by-step explanation:

The formula for the area of a right triangle is:

$Area = \frac{a*b}{2}$

Area = (a*b) / 2

The height of a triangle is represented by a. The base is represented by b.

Knowing this, we can use what they give us for the values, by plugging them into the formula.

a is 20 cenimeters

b is 10 centimeters

Therefore :

$Area = \frac{200}{2}$

$Area = 100$

So, the area of the right triangle is 100 centimeters squared.

4 0

2 years ago

Martene got a small aquarium for her birthday. The aquarium is a right rectangular prism 18.5cm long by 15cm wide. Martene put 3

natita [175]

Equation for this problem: Total 3 cubed / (L x W)

So 18.5cm x 15cm = 277.5 is the product of L and W. Now you need to devide the total by 277.5 which is 14. So the aquarium is 14 cm deep.

7 0

3 years ago