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3 years ago

7. In the right triangle below, find the length of the third side. B 15 10 C

Mathematics

1 answer:

Semmy [17]3 years ago

8 0

Answer:

If you need to find the hypotenuse, then square the two sides and add them together then square root that answer to get the hypotenuse. If you need to find a side then take the hypotenuse and other side and square them then subtract the side by the hypotenuse and then square root that answer.

Step-by-step explanation:

legs; a b hypotenuse c

a^2 + b^2 = c^2 then square root this answer

c^2 - b^2 = a^2 then square root this answer

c^2 - a^2 = b^2 then square root this answer

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luda_lava [24]

0.2 if 1 Mile is 5 Minutes then every 0.1 mile is 30 seconds so 1 minute would be 0.2

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3 years ago

If 3 to the power y = x then y = ?

Oksanka [162]

Answer:

$y=\log_3(x)$

Step-by-step explanation:

$3^y=x$

$\ln(3^y)=\ln(x)$

$y\ln(3)=\ln(x)$

$y=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

but if

$f(x)=\frac{\displaystyle\ln(x)}{\displaystyle\ln(3)}$

then since

$f(3)=\frac{\displaystyle\ln(3)}{\displaystyle\ln(3)}=1$

$f(x)=\log_3(x)$

$y=\log_3(x)$

$3^y=x$

$\log_3(3^y)=\log_3(x)$

$y\log_3(3)=\log_3(x)$

$\text{but }\,\log_3(3)=1, \text{so,}$

$y=\log_3(x)$

6 0

3 years ago

Solve 6r + 7 = 13 + 7r

Firdavs [7]

Answer:

r = -6

Step-by-step explanation:

6r + 7 = 13 + 7r

-6r both sides

7 = 13 + r

-7 both sides

r + 6 = 0

-6 both sides

r = -6

8 0

3 years ago

Read 2 more answers

Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she

Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

$x+y+y=180\\\\x+2y=180\\\\x=180-2y$

We are also given that Carrie wishes the fence to be 4 times as long as it is wide.

So,

$x=4y$

Replacing this value into the first equation, we have

$4y=180-2y\\\\
6y=180\\\\
y=30$

Therefore,

$x=(4)(30)=120$

Thus, the length of the dog run is 120ft and the width is 30ft.

The area enclosed will be equal to the length multiplied with the width. So,

$(120)(30)=3600$

The fence encloses 3600 sq ft.

4 0

3 years ago

Which relationship between x and y in the equation shows a proportional relationship

balandron [24]

Answer:

The equation y = 3x shows a proportional relationship between x and y

Step-by-step explanation:

The proportional relationship is represented graphically by a line passes through the origin point

The equation of the proportional relationship is y = m x

Let us solve the question

Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship

∵ y = 3x

∵ x = 0

∴ y = 3(0)

∴ y = 0

→ That means the line that represents the equation passes through

the origin point

∴ The equation y = 3x shows a proportional relationship between x and y

7 0

3 years ago