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BARSIC [14]
2 years ago
3

Mrs. Martin wants to place a ribbon around the outer edge of a rectangular mirror. The area of the mirror is 324 square inches.

The width is of the mirror is 12 inches. How many inches of ribbon does Mrs. Martin need?
Mathematics
1 answer:
Monica [59]2 years ago
7 0
The inches of ribbon that Mrs. Martin needs will be equal to the perimeter of the rectangular mirror.

We know that the area of a rectangle equals the length times the width.

Area = length * width
324 square inches = length * 12 inches
length = 27 inches

The perimeter of a rectangle is two times the length plus two times the width.

Perimeter = length + length + width + width
Perimeter = 27 + 27 + 12 + 12 
Perimeter = 54 + 24 
Perimeter = 78 inches

Therefore, Mrs. Martin needs 78 inches of ribbon.
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For all real numbers a and b, 2a • b = a2 + b2 Is this true or false? Explain why it false or true.
Andru [333]

Answer:

It's false.... correct is a2+2ab+b2

Step-by-step explanation:

This cannot be factored anymore although. when we try to substitute a with 5 and b with 2, the answer in the right hand side of the equation is -9.

That's why it's false.

3 0
2 years ago
chong earns an annual salary of 29,500. how much is his biweekly paycheck? $1,134.62 $1,135.62 $1,234.62 none of the above
oee [108]
To figure this out, divide the annual salary by the months in a year.
29,500/12=2458.33 
Now divide that by half of the amount of weeks in month
2458.33/1.5=1638.88
So the answer is none of the above.
6 0
2 years ago
Given: NM ∥ XZ Prove: △XYZ ~ △NYM Triangles X Y Z and N Y M are shown. Triangle X Y Z is smaller and sits inside of triangle N Y
elena-s [515]

Answer:

Parallel

corresponding angles theorem

NYM

AA

Step-by-step explanation:  I DID IT ON EDGE! : )

We know that side NM is  _________________

✔ parallel

to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the  _____________

✔ corresponding angles theorem

, we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle  _____________

✔ NYM

by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the  _____________

✔ AA

 similarity theorem.

7 0
2 years ago
Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
Arada [10]

Answer:

The number of people, of the twelve, who will win a prize is 5.

Step-by-step explanation:

In a standard deck of cards there are 52 cards.

The 52 cards are divided into 4 suits: Hearts, Diamonds, Spades and Clubs, each of 13 cards.

Each of the 12 people draws 2 cards from their standard deck of cards.

Compute the probability of selecting at least 1 diamond as follows:

P (At least 1 diamond) = 1 - P (No diamond)

                                    =1-\frac{{39\choose 2}}{{52\choose 2}} \\=1-\frac{741}{1326}\\ =1-0.5588\\=0.4412

The probability of selecting at least 1 diamond is 0.4412.

If a person draws at least 1 diamond he wins a prize.

The expected number of people who will win the prize is:

E (Wins a prize) = n × P (At least 1 diamond)

                          =12\times0.4412\\=5.2944\\\approx5

Thus, the number of people of the twelve who will win a prize is 5.

3 0
2 years ago
Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?
motikmotik

Answer:

Option B is right answer.

Step-by-step explanation:

Yes, it is true hat the rectangle EFGH is a result of dilation of rectangle ABCD with a center of dilation at the origin.

Also according to the given image, we can see that the scale factor of the dilation is greater than one as the new image is bigger than the pre-image.

Also, we can see is that ∠A=∠B=∠C=∠D=∠E=∠F=∠G=∠H=90°

So, we can say that option B is true -  Yes, because both figures are rectangles and all rectangles are similar.

8 0
2 years ago
Read 2 more answers
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