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3 years ago

if a right angle has a hypotenuse of 19 units and a leg with the length of 7 units, find the length of the other leg

Mathematics

1 answer:

anyanavicka [17]3 years ago

8 0

Square root of 19^2-7^2=17.66
Answer 17.6

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If a * b + 5 *a + 3 * b + 15= 24 and a+ 3 =6 then what is the value of a+b

Semmy [17]

Answer:

a +b = 2

Step-by-step explanation:

a +3 = 6

a = 6 -3

a = 3

Plugin a =3 in the equation,

a*b +5*a +3*b + 15 = 24

3b + 5*3 + 3b + 15 = 24

3b + 15 + 3b + 15 = 24 {combine like terms}

3b + 3b + 15 + 15 = 24

6b + 30 = 24 {Subtract 30 from both sides}

6b = 24 -30

6b = -6 {divide both sides by 6}

b = -6/6

b = -1

a + b = 3 + ( -1)

= 2

7 0

3 years ago

Sally builds these steps for her dog.what is the volume of the steps

777dan777 [17]

Answer:

300 we just finished the test...

Step-by-step explanation:

3 0

2 years ago

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In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many s

Gnoma [55]

Answer:

the number of short sleeves sold is 42

Step-by-step explanation:

The computation of the number of short sleeves sold is shown below:

Given that

The clothing store sold 98 long sleeve shirts

And, the ratio of short sleeve to long sleeve is 3:7

So, the number of short sleeves sold is

= 98 × 3 ÷ 7

= 42

Hence, the number of short sleeves sold is 42

6 0

2 years ago

A container has 3 apple juice boxes, 4 grape juice boxes and 5 orange juice boxes. Alex picks one juice box, drinks it and then

Eduardwww [97]

Hey!

Grape over total: $\frac{4}{12}$

After he drinks 1, there will be 1 less. That means it will be over 11

Orange over total: $\frac{5}{11}$

Now multiply the fractions

$\frac{4}{12} \times \frac{5}{11} = \frac{20}{132} \rightarrow \frac{10}{66} \rightarrow \frac{5}{33}$

That means the probability is: $\frac{5}{33}$

Good luck and hope this helps! :)

4 0

3 years ago

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx

Vadim26 [7]

Answer:

$\displaystyle D) {x}^{5} + \rm C$

Step-by-step explanation:

we would like to integrate the following Integral:

$\displaystyle \int 5 {x}^{4} \, dx$

well, to get the constant we can consider the following Integration rule:

$\displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx$

therefore,

$\displaystyle 5\int {x}^{4} \, dx$

recall exponent integration rule:

$\displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1}$

so let,

$n = 4$

Thus integrate:

$\displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)$

simplify addition:

$\displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)$

reduce fraction:

$\displaystyle = {x}^{5}$

finally we of course have to add the constant of integration:

$\displaystyle \boxed{ {x}^{5} + \rm C}$

hence,

our answer is D)

7 0

2 years ago

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