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2 years ago

A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?

Mathematics

1 answer:

kap26 [50]2 years ago

7 0

Answer:

Step-by-step explanation:

we have a rectangle that measure 21 inches by 16 inches

to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem

c^=a^2+b^2

c^=21^2+16^2=697

c= $\sqrt697}$ =26.40 which rounded to the nearest tenth =26

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3 years ago

2. If the diameter of a circle is 2V10, what is the area<br> of the circle.

Sidana [21]

Area is 10pi I think Bc radius is radical 10 Bc 2 radical 10/2 is radical 10. Then we do pi times radical 10 to the second power. Radical 10 to the second power is 10 Bc we remove radical when it is to the second power. Therefore, it becomes 10 times pi or 10pi

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2 years ago

How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns

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Answer:

$12500

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3 years ago

Given that T is the centroid of △DEF and FT=12

dlinn [17]

The centroid of a triangle divides the median of the triangle into 1 : 2

The measure of FQ is 18, while the measure of TQ is 6

Because point T is the centroid, then we have the following ratio

$\mathbf{TQ : FT =1 : 2}$

Where FT = 12.

Substitute 12 for FT in the above ratio

$\mathbf{TQ : 12 =1 : 2}$

Express as fraction

$\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}$

Multiply both sides by 12

$\mathbf{TQ =\frac{1 }{ 2} \times 12}$

This gives

$\mathbf{TQ =\frac{1 2}{ 2}}$

Divide 12 by 2

$\mathbf{TQ =6}$

The measure of FQ is calculated using:

$\mathbf{FQ = FT + TQ}$

Substitute 12 for FT, and 6 for TQ

$\mathbf{FQ = 12 + 6}$

Add 12 and 6

$\mathbf{FQ = 18}$

Hence, the measure of FQ is 18, while the measure of TQ is 6

Read more about centroids at:

brainly.com/question/11891965

6 0

2 years ago

A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle

Natali [406]

Answer:

$\sqrt{514} cm$ , 8cm, are both options

Step-by-step explanation:

For a right triangle one can find the length of the longest side by using the Pythagorean theorem. So there are two options I can think of that if the triangle is a right triangle will work. First remember what the Pythagorean theorem is : side a^2+side b^2=hypotenuse^2

The hypotenuse is the longest side of a right triangle. So if the sides that are 15 and 17 cm are not the longest sides then the formula would be:

$15^{2} +17^2=c^2\\15^2+17^2=\sqrt{514}cm$

But if 17cm is the longest side then:

$a^2+15^2=17^2\\8^2+15^2=17^2\\a=8cm$

Hope this helps!

4 0

3 years ago

Read 2 more answers