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Margaret [11]
3 years ago
10

The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

Option C is the right answer.

Step-by-step explanation:

Given that:

Length of diagonal = 25 inches

Length of rectangle = 9 inches

Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.

Using Pythagorean theorem;

a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544

Taking square root;

\sqrt{w^2}=\sqrt{544}\\w=23.3

Therefore,

Option C is the right answer.

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HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP
pychu [463]

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

m\angle RPS=90^\circ                       [Right angle]

(5x+15)^\circ=90^\circ

(5x+15)=90

5x=90-15

5x=75

Divide both sides by 5.

x=\dfrac{75}{5}

x=15

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

m\angle RQP=(2x+3)^\circ

Putting x=15, we get

m\angle RQP=(2(15)+3)^\circ

m\angle RQP=(30+3)^\circ

m\angle RQP=33^\circ

Therefore, the measure of angle RQP is 33 degrees.

8 0
2 years ago
Give the difference of 8/13​ and 5/13<br><br> A. 3/13<br> B. 8/13<br> C. 5/13
nikitadnepr [17]

Answer:

3/13

Step-by-step explanation:

8/13 subtract by 5/13. If the denominator is the same, you keep it, don't change it. Just subtract the numerator.

Make sure to simplify, if it is already simplified that will be the answer.

5 0
2 years ago
Read 2 more answers
The swimsuit is on sale for 25% off its original price. If the original price was $58. What is the sale price?
sergiy2304 [10]

58.00 \div 10 \times 2 \div 2 \div 2
7 0
3 years ago
The reciprocal of half a number increased by half the reciprocal of the number is 1/2. Find the number
klemol [59]

Answer:

5

Explanation:

Let the number equal x. Half the number is then

x

2

and the reciprocal of that is

2

x

The reciprocal of the number is

1

x

and half that is

1

2

x

then

2

x

+

1

2

x

=

1

2

4

x

+

x

2

x

2

=

1

2

10

x

=

2

x

2

2

x

2

−

10

x

=

0

2

x

(

x

−

5

)

=

0

Zero is not viable solution as its reciprocal is infinity. The answer is therefore

x

=

5

7 0
3 years ago
Answer is 345 make an equation from 100, 10, 3, 4, 5, 2, 1
Tpy6a [65]

Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345

8 0
2 years ago
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