MATHEMATICS
MIDDLE SCHOOL

The width is _

in, the length is

in_

Answer:

The length of the given rectangular is 21 inches while the width is 10.5 inches.

What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the length of a rectangle is L while the width is W

So,

Perimeter 2(L + W) = 63

And,

W = 1/2 L

By substitution,

2(2W + W) = 63

6W = 63

W = 10.5 inches.

And,

L = 2(10.5) = 21 inches.

Hence "The length of the given rectangular is 21 inches while the width is 10.5 inches".

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Answer:

Answer:

Width is 10 1/2 inches and the length = 21 inches.

Step-by-step explanation:

Let the width be x then the length us 2x inches.

Perimeter = 2x + 2(2x) = 63

6x = 63

x = 10 1/2 inches.

HIGH SCHOOL

Choose the function that shows the correct transformation of the quadratic function shifted eight units to the right and one unit down.1. ƒ(x) = (x - 8)² - 12. ƒ(x) = (x - 8)² + 13. ƒ(x) = (x + 8)² - 14. ƒ(x) = (x + 8)² + 1

Answer:

.

Step-by-step explanation:

A quadratic function is a function that can be written in the form

where .

The number inside the parenthesis () makes the graph shift to the left when or right when 0" alt="h > 0" align="absmiddle" class="latex-formula">.

The number makes the graph shift down when or up when 0" alt="k > 0" align="absmiddle" class="latex-formula">.

We know that the quadratic function shifted eight units to the right and one unit down.

Therefore,

and the function is .

MIDDLE SCHOOL

If each container holds 1L 275ml of water. How much water is in 609 containers

776,475 is the answer for 1275 times 609.

HIGH SCHOOL

What is the solution to the equation? 3q 5 = -2q 20 a. q = 3

b. q = 5

c. q = 15

d. q = 25

You're missing some operators there between the variable and the number which will change it drastically. I'll give you all the options.

3q+5=-2q+20

5q = 15

q=3

3q-5=-2q-20

5q = -15

q = -3

3q+5=-2q-20

5q = -25

q = -5

3q-5=-2q+20

5q = 25

q = 5

3q+5=-2q+20

5q = 15

q=3

3q-5=-2q-20

5q = -15

q = -3

3q+5=-2q-20

5q = -25

q = -5

3q-5=-2q+20

5q = 25

q = 5

COLLEGE

Which complete bipartite graphs Km, are trees? (b) Let T be a full 8-ary tree with 201 vertices. (ii) How many internal vertices does T have? (iii) How many leaves does T have?

Answer:

the answer is a

Step-by-step explanation:

i just know

MIDDLE SCHOOL

the ratio of the measures of three angles in a triangle is 10:3:7 find the measure of the largest angle

Answer:

90°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the parts of the ratio 10 + 3 + 7 = 20

divide 180 by 20 to find the value of one part of the ratio

= 9° ← 1 part of the ratio

the largest angle is the one with 10 parts of the ratio, hence

10 parts = 10 × 9° = 90° ← largest angle

COLLEGE

A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed vary and the amounts are normally distributed with a standard deviation of 0.015 liters. a. What is the probability a bottle will contain between 2.00 and 2.03 liters? b. What is the probability a bottle will contain less than 2 liters? c. 2% of the containers will contain how much cola or more?

Answer:

Step-by-step explanation:

Given that a cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.

Std deviation =0.015 litres

X- litres contained in a bottle is N(2.02, 0.15)

Z score is obtained as

a) probability a bottle will contain between 2.00 and 2.03 liters

=P(2

COLLEGE

If 9 inches of ribbon will a 4 inch ribbon curl, how many inches of ribbon will it take to make the 6 inch ribbon curls the gimbles manager demands?

9-4=5

6-5=1 so it'll take 1 inch for it to curl.

6-5=1 so it'll take 1 inch for it to curl.

MIDDLE SCHOOL

How long is the arc intersected by a central angle of pi/3 radians in a circle with a radius of 6 ft? Round your answer to the nearest tenth. Use 3.14 for pi 1.0 ft

5.7 ft

6.3 ft

7.0 ft

Answer:

6.3 ft

Step-by-step explanation:

We are given,

the central angle of the arc = radians; and

radius of the arc = 6ft

Therefore using these values, we can find the length of the long arc.

Length of the arc = 6 × / 3

Lenth of the arc = = 2 × 3.14 = 6.28

Therefore, the length of the arc, rounded to the nearest tenth is 6.3 ft.

Answer:

c;6.3 just took the test on edge.

Step-by-step explanation:

MIDDLE SCHOOL

How much would $400 invest at 5% interest compounded annually be worth after 6 years? Compound interest formula: A(t) = P(1 + i)t 1. Write the numbers. Principal = , interest rate= , time = 2. Find the total amount of money that the investor would have after 6 years. Show your work using the equation editor.

The total amount of money that the investor would have after 6 years is $936.04.

Given the following data:

- Principal = $400

- Interest = 5% = 0.05

- Time = 6 years

To find the total amount of money that the investor would have after 6 years:

Mathematically, compound interest is given by the formula:

Where;

- A is the future value.

- P is the principal or starting amount.

- i is the annual interest rate.

- t is the number of years for the compound interest.

Substituting the given parameters into the formula, we have;

Future value, A = $536.04

Now, we can find the total amount of money that the investor would have after 6 years:

Total amount = $936.04

Read more: brainly.com/question/22339845

Answer: 1. Principal = $400, interest rate= 5% = 0.05 , time = 6 years

2. The total amount of money that the investor would have after 6 years will be $ 536.04 .

Step-by-step explanation:

Given : Compound interest formula:

, where P= Principal amount

i= Rate of interest ( in decimal )

t= time

As per given : Principal = $400, interest rate= 5% = 0.05 , time = 6 years

i.e. P = 400 , i=0.05 , t= 6

Put these values in compound interest formula , we will get

Hence, the total amount of money that the investor would have after 6 years will be $ 536.04 .