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3 years ago

1. Find the perimeter and area of a rectangle with a length of 3.2 m and a width of 1.5 m.

1 answer:

5 0

1. D) p=9.4 m; A= 4.8 m^2 2. C) 189 ft^2 1. Find the perimeter and area of a rectangle with a length of 3.2 m and a width of 1.5 m. The perimeter of a rectangle is simply twice the sum of it's length and width, so 2(3.2m + 1.5 m) = 2*4.7 = 9.4 m The area of a rectangle is the product of its length and width, so 3.2 m * 1.5 m = 4.8 m^2 Of the available choices, D matches with p=9.4 m; A= 4.8 m^2 2. Find the area of a triangle with a base of 27 feet and a height of 14 feet. The area of a triangle is 1/2 base times height, so 0.5 * 27 ft * 14 ft = 189 ft^2 Of the available choices, C matches with 189 ft^2

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Find the x-intercept and

svetlana [45]

9514 1404 393

Answer:

x-intercept: (16, 0)

y-intercept: (0, 8)

Step-by-step explanation:

Each intercept is found by setting the other variable to zero and solving for the variable of interest.

I like to find the intercepts from this form because it basically involves dividing the constant by the variable coefficient.

x-intercept

y = 0, so we have 4x = 64 ⇒ x = 64/4 = 16

x-intercept is (16, 0)

y-intercept

x = 0, so we have 8y = 64 ⇒ y = 64/8 = 8

y-intercept is (0, 8)

_____

Additional comment

There is a form of the linear equation called the "intercept form" that looks like this:

x/a +y/b = 1

where 'a' is the x-intercept and 'b' is the y-intercept.

You can get this form by dividing the standard form equation by the constant. Here, that gives ...

4x/64 +8y/64 = 1

x/16 +y/8 = 1

This is nice because it gives both intercepts with one operation (divide by the constant). It's easy enough to do, but not always easy to explain. This form of the equation of a line is rarely seen.

5 0

2 years ago

A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?

MatroZZZ [7]

Answer:

48π in³

Step-by-step explanation:

$V=\frac{1}{3} \pi r^2h$

Plug in the radius 6 in and the height 4 in

$V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi$

Therefore, the volume of the cone is 48π in³.

I hope this helps!

3 0

2 years ago

Each interior angle of a regular polygon is 140°.Find the number of sides

castortr0y [4]

Step-by-step explanation:

Each interior angle=140°

(n-2)180°/n=140°

180°n-360°/n=140°

180°n-360°=140°n

180°-140°=360°

40°n=360°

n=360°/40°

n=9

Hence, the number of sides of the polygon is 9.

It is nonagon .

8 0

3 years ago

Roxy's new employer pays employees bimonthly, which is twice a

Alina [70]

Answer: $62,400

Step-by-step explanation:

4 0

3 years ago

What times 3 equals 3/10

Mumz [18]

Answer:

1/10

Step-by-step explanation:

Divide 3/10 by 3. Remember to "keep, flip, change".

3/10 ÷ 3/1

3/10 × 1/3

Multiply across: 3/10 × 1/3 = 3/30

Simplify: 3/30 = 1/10

7 0

3 years ago