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3 years ago

Sonya wants to sew ribbon along each side of a square pillow.

Mathematics

1 answer:

Eduardwww [97]3 years ago

5 0

We are given area of the ribbon = 144 square inches.

We know formula for side of a square = $\sqrt{Area \ of \ a \ square }$ .

Plugging value of area in the formula, we get

Side of the square $= \sqrt{144}$

= 12 inches.

Sonya wants to sew ribbon along each side of a square pillow.

So, we need to find the perimeter of the square pillow.

<h3>Perimeter = 4 × side = 4 × 12 = 48 inches.</h3><h3>Therefore, she buy 48 inches of ribbon to have the exact amount that she needs.</h3>

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Need help with understanding table of ordered pairs , I have two left and that's basically all.

azamat

Answer:

Step-by-step explanation:

The easiest way to figure this out is to substitute in the variables. So for a, 2=-5+7 is correct, and 7=0+7 is correct as well. If you were to look at the other answers, you would see that the equation would not match up. Hope this helps!

8 0

3 years ago

What reason should kamal add to all of the question marks in order to completer the proof

brilliants [131]

Answer: The answers is alternate interior angles.

Step-by-step explanation: First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

5 0

3 years ago

Determine whether the following statements are true and give an explanation or a counter example. a. The Trapezoid Rule is exact

Norma-Jean [14]

Answer:

statement is TRUE

statement is FALSE

statement is TRUE

Step-by-step explanation:

(a)

By using the Trapezoidal Rule, the definite integral can be computed by applying linear interpolating formula on each sub interval, and then sum-up them, to get the value of the integral

So, in computing a definite integral of a linear function, the approximated value occurred by using Trapezoidal Rule is same as the area of the region. Thus, the value of the definite integral of a linear function is exact, by using the Trapezoidal Rule.

Therefore, the statement is TRUE

(b) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the midpoint rule, the number of sub-intervals, n is increased by a factor of 3, then the error is decreased by a factor of 32 = 9, not 8. Therefore, the statement is FALSE

(c) Recollect that for each rule of both the midpoint and trapezoidal rules, the number of sub-internals, n increases by a factor of a. then the error decreases by a factor of a^2.

So, for the trapezoidal rule, the number of sub-internals, n is increased by a factor of 4. then the error is decreased by a factor of 42 = 16

Therefore, the statement is TRUE

3 0

3 years ago

Stephen borrows $10,000 from his uncle at a simple interest rate of 2%. He repays the loan in full after 3 years. How much money

ohaa [14]

The total amount of money that Stephen would pay his uncle is equal to $10,600.

<h3>How to calculate simple interest.</h3>

Mathematically, simple interest is calculated by using this formula:

I = PRT

<u>Where:</u>

I is the simple interest.

P is the principal.

R is the interest rate.

T is the time measured in years.

<u>Given the following data:</u>

Interest rate = 2% = 0.02.

Principal = $10,000.

Time = 3 years.

Substituting the given parameters into the formula, we have;

I = 10000 × 0.02 × 3

I = $600.

Amount of balance;

A = I + P

A = 600 + 10,000

A = $10,600.

Read more on simple interest here: brainly.com/question/24341207

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2 years ago

What is the slope of this line?<br> 6<br> 10

AleksAgata [21]

Answer: 0.6

Step-by-step explanation:

m = 6/10

m = 0.6

5 0

1 year ago