Andrew is building a ramp for a snowboarding competition. The rules of the competition say that the height of the ramp must be 8 feet. Andrew has decided to make the base of the ramp and the piece of the ramp that forms the height meet at a 90° angle. The third piece of the ramp will be a straight line connecting the highest point of the ramp to the furthest point of the base, forming a 30° angle across from the 8 foot piece of the ramp. What will be the length of the third piece of the ramp?
A. 13.86 feet
B. 10 feet
C. 16 feet
D. 9.24 feet

Answer:

x = 28

Step-by-step explanation:

Supplementary angles mean that both angles are equal to 180. So, the equation becomes 3x + 96 = 180. Solving for x, we get 28.

Answer:

The value of x is 28

Step-by-step explanation:

Given :

Now,

Supplementary angles are a pair of angles that make sum of 180° .

Therefore, The sum of given angles will be equal to 180°.

i.e. one angle + other angle = 180°

Substituting the values of angles , we get..

[tex]⇢3x + 96 = 180[/tex]

[tex]⇢3x = 180 - 96[/tex]

[tex]⇢3x = 84[/tex]

[tex]⇢x = \frac{84}{3} [/tex]

Answer:

No, -14 is not greater than 9

Step-by-step explanation:

because -14 is a negative interger making the postive a higher/greater number

Answer:

18.36 to nearest hundredth.

Step-by-step explanation:

base of the triangle = 1/3 * 32 = 16.

x^2 = 9^2 + 16^2

x^2 = 81 + 256 =  337

x = √337 = 18.36.

Answer: 0.9

Step-by-step explanation: All you need to just keep your decimal (0.9) as it is since 4 and 2 are below 5 then you don't need to round it higher. I hope this helped!

0.942

the nearest tenth of 0.942

to round to the nearest tenth, if the number in hundredths place is 5 or more you'll have to round up, if not keep it as it is and remove all the digits in the right side.

=0.9

hence, the nearest tenth of 0.942 is 0.9

Answer:

10 Quarts

Step-by-step explanation:

First, convert 1/2 gallons into quarts. 1/2x4=2. Then convert 1 1/4 to quarts. 1 1/4x4=5. Finally, add it all togher. 2+5+3=10. So, the answer is 10 quarts.

Answer:

30 cm

Step-by-step explanation:

just times it by three because theres three sides

Answer:

Question1:

2 twenty eight fifteenths

Question2:

3 seven and five twelfths

Step-by-step explanation:

1st question solution

[tex]\dashrightarrow \sf 2\dfrac{1}{3} *\dfrac{4}{5}[/tex]

[tex]\dashrightarrow \sf \dfrac{7}{3} *\dfrac{4}{5}[/tex]

[tex]\dashrightarrow \sf \dfrac{28}{15}[/tex]

2nd question answer

[tex]\dashrightarrow \sf 2\dfrac{1}{3} *2\dfrac{3}{4}[/tex]

[tex]\dashrightarrow \sf \dfrac{7}{3} *\dfrac{11}{4}[/tex]

[tex]\dashrightarrow \sf \dfrac{77}{12}[/tex]

[tex]\dashrightarrow \sf 6\dfrac{5}{12}[/tex]

Answer:

Interpolation is used to predict values that exist within a data set, and extrapolation is used to predict values that fall outside of a data set and use known values to predict unknown values. Often, interpolation is more reliable than extrapolation, but both types of prediction can be valuable for different purposes

Answer: Options 3, 4, 5

Step-by-step explanation:

Answer:

I think it would be fine if they notified you but only if they used me for a good reason.

On the other hand...

no matter if it's on the agreement if it is inappropriate on your part it is illegal and you can complain.

Answer:

[tex]y=\frac{5}{2}x[/tex]

Step-by-step explanation:

Answer:

Answer:

Expression equivalent to (k + k)(4) is 28.

Step-by-step explanation:

Given:

k(x) = 5x - 6

We need to find an expression equivalent to (k + k)(4)

First, we find,

(k + k)(x) = k(x) + k(x)

            = ( 5x - 6 ) + ( 5x - 6 )

            = 5x - 6 + 5x - 6

            = 5x + 5x - 6 - 6

            = 10x - 12

Now, (k + k)(4) = 10(4) - 12 = 40 - 12 = 28

Therefore, the Expression equivalent to (k + k)(4) is 28.

Answer:

(B) No

Step-by-step explanation:

If I remember correctly a solution is a point that is on the shaded area or on a solid line, the point 3,-3 is not on the shaded region and not on a solid line. Even if it was on the line in this problem it wouldn't be a solution because it is a dotted line. Hope this helps!

Answer:

x=15

Step-by-step explanation:

A line is 180 degrees

We know that 8x+19=139

8x+19=139

subtract 19 from both sides to isolate x

8x=120

divide both sides by 8

8x/8=120/8

x=15

[tex]-4x^2+16 & =0\\\\\implies -4(x^2-4) & =0 \\\\\implies x^2-4 =0\\ \\\implies x^2-2^2 =0\\\\\implies (x+2)(x-2)=0\\\\\implies x=2,~~x = -2[/tex]

Answer:

4π

Step-by-step explanation:

since the shaded in area is the tile and the radius is 2 and we only need the SHADED IN area 2^2 is 4 therefore 4pi is the correct answer

Answer:

domain x   [0,4]     range y  [0,64]

Step-by-step explanation:

Answer:

3, 7

Step-by-step explanation:

3, 3, 3, 4, 4, 6, 7, 7, 7

3 and 7

Step-by-step explanation:

[tex]5 {x}^{2} - 4 {y}^{2} + 80 = 0[/tex]

[tex]5 {x}^{2} - 4 {y}^{2} = - 80[/tex]

[tex] - \frac{ 5{x}^{2} }{16} + \frac{ {y}^{2} }{20} = 1[/tex]

[tex] \frac{ {y}^{2} }{20} - \frac{5 {x}^{2} }{16} = 1[/tex]

To find foci,

[tex]c = \sqrt{ {a}^{2} + b {}^{2} } [/tex]

so

[tex]c = \sqrt{20 + 16} [/tex]

[tex]c = \sqrt{36} [/tex]

[tex]c = ±6[/tex]

Since the y term has a greater denomiator, our foci is

(0,6) and (0,-6)

Answer:

[tex]2x^{6}y^{2} }[/tex]

Step-by-step explanation:

Just Simplifying the Fraction.

we get,

[tex]=\frac{12x^{9} y^{4} }{6x^{3}y^{2} } \\\\=2x^{9-3} y^{4-2} \\=2x^{6} y^{2}[/tex]

Answer:

It makes a right traiangle.

Step-by-step explanation:

Graph the points and you will see that it makes a right triangle.

The figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.

In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.

The right angle is formed between side BC and side AC at point C (0,1).

Here, we have to identify the figure with the given vertices A (3,5), B (3,1), and C (0,1), we can plot these points on a coordinate plane.

Let's plot the points A(3,5), B(3,1), and C(0,1) on a Cartesian coordinate plane.

A(3,5): This point is located at x-coordinate 3 and y-coordinate 5.

B(3,1): This point is located at x-coordinate 3 and y-coordinate 1.

C(0,1): This point is located at x-coordinate 0 and y-coordinate 1.

Since point A and point B share the same x-coordinate (x = 3), they lie on a vertical line. Point C has a different x-coordinate, so we need to connect it with the others to complete the figure.

The figure formed by connecting the points A, B, and C is a right-angled triangle.

To calculate the distances between the vertices, we'll use the distance formula:

Distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

Distance = √[tex]((x_2 - x_1)^2 + (y_2 - y_1)^2)[/tex]

Let's calculate the distances:

Distance between A(3,5) and B(3,1):

Distance_AB = √[tex]((3 - 3)^2 + (1 - 5)^2)[/tex]

Distance_AB = √(0 + 16)

Distance_AB = √16

Distance_AB = 4 units

Distance between A(3,5) and C(0,1):

Distance_AC = √[tex]((0 - 3)^2 + (1 - 5)^2)[/tex]

Distance_AC = √[tex]((-3)^2 + (-4)^2)[/tex]

Distance_AC = √(9 + 16)

Distance_AC = √25

Distance_AC = 5 units

Distance between B(3,1) and C(0,1):

Distance_BC = √[tex]((0 - 3)^2 + (1 - 1)^2)[/tex]

Distance_BC = √[tex]((-3)^2 + 0^2)[/tex]

Distance_BC = √9

Distance_BC = 3 units

As we calculated, the distances between the vertices of the figure are:

AB = 4 units

AC = 5 units

BC = 3 units

Based on the distances, we can determine that the figure formed by the vertices A(3,5), B(3,1), and C(0,1) is a right-angled triangle.

In this triangle, side BC is the shortest side with a length of 3 units, side AB is the longest side with a length of 4 units, and side AC has a length of 5 units.

The right angle is formed between side BC and side AC at point C (0,1).

To learn more on triangle click:

brainly.com/question/29126067

#SPJ3

Answer:

8 x 10^5

Step-by-step explanation:

Answer:

x = 23 y =67

Step-by-step explanation:

Since a rectangle is made up of 4 right angles you can solve y with the following equation:[tex]23 + y =90[/tex]

Then to solve for x, since x, y and the right angle makes up a triangle and a triangle has 180 degrees. You can use the following equation to solve for x:

[tex]x + 67 + 90 = 180[/tex]

Answer:

-12x²

Step-by-step explanation:

Given expression:

[tex]-5x^{2} -7x^{2}[/tex]

Since both terms in the expression have common terms, we can subtract the terms by combining like terms.

[tex]\implies x^{2} (-5 -7)[/tex]

[tex]\implies x^{2} (-12)[/tex]

[tex]\implies -12x^{2}[/tex]

Answer:

  (b)  y = -7x -27

Step-by-step explanation:

When x and y in the equation y = f(x) are replaced by (x-h) and (y-k), the function graph is translated h units right and k units up. The translated function can be written as ...

  y -k = f(x -h)

  y = f(x -h) +k . . . . . . add k

__

Your function is ...

  y = -7x

and you want to translate it by (h, k) = (-5, 8). That makes it ...

  y' = -7(x -(-5)) +8 = -7x -35 +8

  y' = -7x -27

Answer: 15840

Step-by-step explanation: multiply the length value by 5280

Answer:

15840 feet

Step-by-step explanation:

5280 (feet per mile) times 3 (the amount of miles Ashlynn runs every morning) is 15840