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3 years ago

C 8 yd 6 yd What is the length of the hypotenuse?

Mathematics

1 answer:

slavikrds [6]3 years ago

4 0

Answer: 10

Step-by-step explanation:

The length of the hypotenuse is ten.

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Shauna spent $175 on a pair of shoes.She spent 1/9 of the remaining money on a shirt.If he still had 4/7of his moneyleft,how muc

KIM [24]

Answer:

$490

Step-by-step explanation:

Shauna spent $175 on a pair of shoes.

She spent 1/9 of the remaining money on a shirt.

If he still had 4/7 of his money left,how much did he have at first ?

Solution:

Let at first, Shauna have = $x$

Money spent on a pair of shoes = $175

Remaining money = $x-175$

<u>As she spent 1/9 of the remaining money on a shirt.</u>

Money spent on shirt = $\frac{1}{9} \times(x-175)=\frac{x}{9} -\frac{175}{9}$

As he still had $\frac{4}{7}$ of his money left:-

Money left = $\frac{4}{7}\ of\ his\ money=\frac{4x}{7}$

Money left with Shauna = Total money, she had at first -(Money spent on a pair of shoes + Money spent on shirt )

$\frac{4x}{7} =x-(175+{\frac{x}{9} -\frac{175}{9} )\\\\\\$

$\frac{4x}{7} =x-(\frac{175}{1} -\frac{175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7} =x-(\frac{1575-175}{9} +\frac{x}{9} )\\\\ \frac{4x}{7}=x-(\frac{1400}{9} +\frac{x}{9} )\\ \\ \frac{4x}{7}=x-\frac{1400}{9} -\frac{x}{9}$

Subtracting both sides by $x$ and adding both sides by $\frac{x}{9}$

$\frac{4x}{7} -x+\frac{x}{9} =-\frac{1400}{9} -x+\frac{x}{9} +x-\frac{x}{9}$

Taking LCM of 7 and 9, we get 63

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ -\frac{20x}{63}=-\frac{1400}{9}$

Adding both side by -

$\frac{36x-63x+7x}{63} =-\frac{1400}{9} \\ \\ \frac{20x}{63}=\frac{1400}{9}$

By cross multiplication:

$20x\times9=1400\times63\\180x=88200\\$

Dividing both sides by 180

$x=490$

Therefore, total $490, she had at first.

3 0

4 years ago

The rectangle shown is dilated by a scale factor of 1/5

Harrizon [31]

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

5 0

3 years ago

What is the answer to 12x^7 over 3x

Darina [25.2K]

Simple, what you're basically doing is simplifying,

$\frac{ 12x^{7} }{3x}$

well, you have 3x and you have $12x^{7}$

12/3=4

and you can "cancel" out an x, making your answer,

$4x^{6}$ .

8 0

3 years ago

Jim's father bought a new car 3 years ago for

Alexus [3.1K]

30% of 50,400 = 30240.

Therefore the percentage loss is 30% over the course of 3 years.

4 0

3 years ago

Today, you want to sell a $1,000 face value zero coupon bond you currently own. The bond matures in 3.5 years. How much will you

Agata [3.3K]

The amount I would receive for the bond when I sell it at the yield to maturity is $810.41.

<h3>How much would I receive for the bond?</h3>

In order to determine the amount I would receive for the bond, the present value of the bond has to be determined. Present value is the discounted cash flow.

Present value = $10000 / (1.0619)^3.5 = $810.41

To learn more about present value, please check: brainly.com/question/26537392

4 0

2 years ago