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2 years ago

What is the length of the hypotenuse of the right triangle shown?

Mathematics

1 answer:

chubhunter [2.5K]2 years ago

3 0

Answer:

Step-by-step explanation:

Use the Pyhagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have the lengths of legs 12 and 16. Substitute:

$c^2=12^2+16^2\\\\c^2=144+256\\\\c^2=400\to c=\sqrt{400}\\\\c=20$

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Find the measure of angle Y

Oksana_A [137]

If all angles are equal it must be an equilateral triangle which means the measure of Y is 60°

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2 years ago

If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth

german

Answer:

The percentage of income she should use on the rest of her expenses=20%

Step-by-step explanation:

Step 1: Determine her total income

Let her total percentage income be =100%

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Savings

percentage expense on savings=10%

b). Rent

percentage expense on rent=30%

c). Fixed expenses

percentage expense on fixed expenses=40%

d). The rest expenses

percentage expense on the rest=x

Step 3: Calculate total percentage income

Total percentage income=percentage on savings expenses+percentage on rent expenses+percentage on fixed expenses+remainder

replacing;

Total expenses=(10+30+40+x)=x+80

Total percentage income=100%

Step 4: Get remaining percentage amount of her income

(100)=(x+80)

x=100-80

x=20

The percentage of income she should use on the rest of her expenses=20%

3 0

2 years ago

Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)

shepuryov [24]

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at ( $x_1,y_1$ ) and ( $x_2,y_2$ ) is given as (x, y). The location of x and y are:

$x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}$

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

$0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10$

Hence the endpoint is at (x2, y2) which is at (-9, 10)

5 0

2 years ago

What is the sum of 3b(b-4) and 6(b-8)

lora16 [44]

Answer:

This equals $3b^2-6b-48$

Step-by-step explanation:

5 0

2 years ago

Find the area of the circle to the nearest tenth. use 3.14 for pie

VikaD [51]

I assume that 4.4 is the diameter,please do correct me if i am wrong.

To get the area of the circle,the formula is 丌r^2

to find the radius,we need ro devide the diameter by 2

thus the equations is
$3.14 \times ({4.4 \div 2})^{2} \\ = 3.14 \times {2.2}^{2} \\ = 15.196 \\ = 15.2(correct \: to \: the \: nearest \: tenth)$
Therefore the answer is B.15.2

hope it helps!

3 0

2 years ago

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