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3 years ago

What is the missing side length of this right triangle? Type the answer in the box.

Mathematics

2 answers:

GalinKa [24]3 years ago

8 0

Answer:

12 in

Step-by-step explanation:

Using Pythagoras' theorem in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the missing side , then

x² + 5² = 13²

x² + 25 = 169 ( subtract 25 from both sides )

x² = 144 ( take square root of both sides )

x = $\sqrt{144}$ = 12

Airida [17]3 years ago

4 0

Answer:

13in

Step-by-step explanation:

The angle left and right are the same. It's tilted. only.

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A toy manufacturer ships a toy in one of two different size boxes. The small box contains 6 of the toy and the large box contain

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The constraints placed on the variables y and x in this problem are y≤8 and x≥6.

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Find the area:......Brainliest........

pav-90 [236]

Answer:

Step-by-step explanation:

The average length of the weird trapezoidal shape on the left is

(2 m + 10 m)/2, or 6 m. The width is 4 m, so the area is 24 m^2.

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Thus, the overall area of the green shape is 24 m^2 + 2pi m^2.

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3 years ago

Autumn bought a mattress that was on sale for $450. The original price of the mattress was $700 . Answer the following questions

Simora [160]

Answer:

$250

Step-by-step explanation:

700-450=250

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3 years ago

PLEASE HELP ME OUT? it's an assignment due in an hour!

solmaris [256]

Answer:

f(g(5)) = 11

Step-by-step explanation:

f(x) = x - 2
g(x) = 3x - 2

The composite function f(g(5)) is found by plugging g(5) for x into f(x).

Let's find g(5) first.

g(5) = 3(5) - 2
g(5) = 15 - 2
g(5) = 13

Next, plug this value for x into f(x).

f(13) = (13) - 2
f(13) = 11

∴ <u>f(g(5)) = 11</u>.

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2 years ago

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. A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $24,700

lozanna [386]

Answer:

1) P(x) =14400x+10300 2)y=-4x+19 3) $y=\frac{-2x}{3} -14$ 4) x=-11

(Please check the pictures for better understanding)

Step-by-step explanation:

1) Firstly, let's organize the data. Let the dependent variable x be the years, and the Range P(x) the Profit. So arranging these linear functions y=ax+b and plugging the coordinates for each point (1, 24700) and (4, 67900). Goes:

24,700=x+b

67,900=4x +b

1.1)Solving for b, this Linear System of Equation by the Addition Method goes:

$24,700=x+b*(-4)\\67,900=4x+b\\----------\\-98,800=-4x-4b\\67,900=4x+b\\ -----------\\-30900=-3b\\\frac{3b}{3} =\frac{30900}{3}\\ b=10300$

1.2) Now, let's find the slope based on those two points (1, 24700) and (4, 67900) and using the formula to find the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{67900-24700}{4-1}\\ m=\frac{43200}{3}\\ m=14400$

So now we can write this Linear Equation for the Profit:

P(x) =14400x+10300

2) An equation of the line perpendicular to 4y=x-8 has a slope equal to $m_{2}$ =- $\frac{-1}{m_{1}}$ the line. In this case, an equation perpendicular to 4y=x-8 .

Rearranging the given equation of the line 4y=x-8 goes:

$y=\frac{x}{4} -\frac{8}{4} \\ y=\frac{x}{4}-2$

2.1) The slope of this new line is equivalent to m=-4 since -4 is opposite inverse value for the slope of its perpendicular line (1/4).

If the line passes through the point (6,-5), then this point already belongs to this line.

Then, we can write.

-5=-4(6)+b

-5=-24+b

-5+24=-24+24+b

b=19

Now we can write the function:

y=-4x+19

3) Firstly, let's rearrange the equation. Into a General Equation of the Line y=ax+b

2x+3y=5

-2x+2x+3y=5-2x

3y=5-2x

$\frac{3y}{3} =\frac{5}{3} -\frac{2x}{3}$

$y=\frac{-2x}{3}+\frac{5}{3}$

3.2) Let's find out b, the linear coefficient by plugging the coordinates of the point (-3,-8).

Also, Parallel lines have the same value for the slope such as $m_{1}=m_{2}$

-8=-3(-2/3)+b

-8=2+b

-8-2=2-2+b

b=-10

Then the equation of this parallel line is:

$y=\frac{-2x}{3} -10$

4) Now on this last question, we have to find an equation of the line through the point (-11,-4) perpendicular to another line y=15

Suppose the slope of the first line is $m_{1}$ and the value of the slope of its perpendicular is $m_{2}=\frac{-1}{m_{1}}$

y=15 is a horizontal line with slope equals zero, we can rewrite it as y=0x+15.

Then the slope is zero for horizontal lines.

A perpendicular line to a horizontal line is a vertical one.

In addition to this, a vertical line passes through only one point in the x-axis. Then, there is no horizontal variation. This leads the formula of a slope to an undefinition for Real Set.

$m=\frac{y_{2}-y_{1}}{0}$

The only perpendicular line which passes through the point (-11,-4) to y=15 is the line x=-11.

7 0

3 years ago