All categories

2 years ago

Find the area (hint: find the value of x first)

Mathematics

1 answer:

lidiya [134]2 years ago

5 0

Answer:

C. 128 in²

Step-by-step explanation:

We know that the opposite sides of rectangles are congruent, so 8 = 2x. If we divide 8 by 2 and 2x by 2, we get x = 4.

This means that the other side length, (3x + 4), equals 3(4) + 4 = 12 + 4 = 16 inches

Now, the area of a rectangle is l × w, where l = length and w = width. The dimensions of this rectangle are 8 and 16, so 8 × 16 = 128 in².

You might be interested in

a washer and dryer costs $951 combined. The washer costs $51 more than the dryer. what is the cost of the dryer?

Over [174]

Answer:

$450

Step-by-step explanation:

We know that the washer costs $51 more dollars than the dryer.

The washer costs x+51

The dryer costs x

So to simplify this we can do this equation:

2x+51=951

Substitute and simply the equation, and you should get this:

2x=900

x=450

Hope this helps! :)

8 0

2 years ago

Read 2 more answers

A town has a population of 2000 and grows at 4.5% every year. What will be the

goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

$F=P(1+r)^t$

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

we can plug the numbers into the formula and solve for F:

$F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4$

rounded to the nearest whole number, the population after 13 years would be 3544

3 0

3 years ago

Read 2 more answers

Why are different intervals used when restricting the domains of the sine and cosine functions in the process of defining their

umka21 [38]

Answer:

See below

Step-by-step explanation:

The interval must be chosen so that the function is one-to-one, and the sine and cosine functions are not one-to-one on the same intervals.

3 0

2 years ago

Is this a rational number

ra1l [238]

Answer:

Note that it is not a perfectly elastic result so it is irrational 

7 0

2 years ago

The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth.

ohaa [14]

Answer:

V ≈ 2144.70 $cm^3$

Step-by-step explanation:

Radius is going to be used instead of the diameter. Half of 16 is 8, and so that will be the value that shall be used.

$V = (4/3)\pi (8)^3$

V ≈ 2144.66 $cm^3$

V ≈ 2144.70 $cm^3$

5 0

3 years ago