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2 years ago

A right triangle has a hypotenuse of 10 feet and a leg of 6 feet. What is the length of the other leg?

Mathematics

1 answer:

Artemon [7]2 years ago

3 0

Answer:

The other length of the leg is 8 feet.

Step-by-step explanation:

To find the answer we have to find what 10 and 6 is squared. 10 x 10 = 100.

6 x 6 = 36. Now since we are trying to find the length of the other leg, we will subtract 100 from 36 and we get 64. Then for the last step, we will figure out what number squared equals 64. Because 8 x 8 = 64, 8 is our answer.

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Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Dan

dolphi86 [110]

Answer:

202

Step-by-step explanation:

So it has to end in 2 because 20t+22 will always be a 2.

day1:

17x1+49=66

no 2

day2:

17x2+49=83

odd

day3:

D=100

no 2

day4:

odd

day5:

D=134

no 2

etc

keep adding 17 to D until you get one that ends in 2

D=202

A=202

6 0

3 years ago

A nurse has an annual income of $52,175. The income tax the nurse must pay is 9%. What is the amount of income tax in dollars an

djyliett [7]

Answer:

The amount of income tax in dollars and cents is $4,695.75

Step-by-step explanation:

To find the amount of income tax that should be paid, we simply use the percentage said to be for the income tax

Mathematically;

income tax = 9% of 52,175

= 9/100 * 52175

= $4695.75

The income tax to be paid on the income is $52,175

4 0

3 years ago

They Yankees won 90 of their 162 games last season. What percent of the games did they win?

LUCKY_DIMON [66]

Answer:

55.6%

Step-by-step explanation:

The fraction 90/162 in its decimal equivalent is 0. 556. Multiplying this by 100 yields the percentage 55.6%.

5 0

3 years ago

Read 2 more answers

What sum of money amounts to rupees 8700 in 3 years at the rate of 24 % per annum

Zina [86]

Given:

Amount = 8700

Time = 3 years

Rate of interest = 24% per annum

To find:

The principal values.

Solution:

Formula for amount:

$A=P\left(1+\dfrac{r}{100}\right)^t$

Where, A is amount, P is principal, r is the rate of interest and t is the number of years.

Putting $A=8700,r=24,t=3$ , we get

$8700=P\left(1+\dfrac{24}{100}\right)^{3}$

$8700=P\left(1+0.24\right)^{3}$

$8700=P\left(1.24\right)^{3}$

$8700=1.906624P$

Divide both sides by 1.906624.

$\dfrac{8700}{1.906624}=P$

$4563.0391729=P$

$P\approx 4563.04$

Therefore, the principal value is about 4563.04.

8 0

3 years ago

Beatrice calculated the slope between two pairs of points.

kumpel [21]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope between (-3, -2) and (1, 0)

$m=\frac{0+2}{1+3}$

$m=\frac{2}{4}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (1,0)

substitute

$y-0=\frac{1}{2}(x-1)$

$y=\frac{1}{2}x-\frac{1}{2}$

step 2

Find the slope between (-2, -1) and (4, 2)

$m=\frac{2+1}{4+2}$

$m=\frac{3}{6}=\frac{1}{2}$

Find the equation of the line

$y-y1=m(x-x1)$

with m and the point (4,2)

substitute

$y-2=\frac{1}{2}(x-4)$

$y=\frac{1}{2}x-2+2$

$y=\frac{1}{2}x$

Compare the equation of the two lines

The two lines are parallel, because their slope is the same, but are different lines

therefore

Beatrice's conclusion is incorrect

All of these points are not on the same line, because are different parallel lines

The slope between (-2,-1) and (1,0) is equal to $\frac{1}{2}$

8 0

3 years ago

Read 2 more answers