Ilya builds a slide that is 2.9 meters long. It is 1.5 meters above the ground. He wants to determine the distance from the bottom of the slide to the base of the ladder leading up to the slide. Which diagram represents this situation?
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.
A triangle with side length 2.9 meters and hypotenuse 1.5 meters.
A triangle with side length 2.9 meters and hypotenuse 2.9 meters.
A triangle with side length 1.5 meters and hypotenuse 2.9 meters.

Answer:

C

Step-by-step explanation:

[tex]65=\frac{(360-x)-(x)}{2}[/tex]

130=360-2x

2x=230

x=115

[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]

[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]

Thus :

[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]

Over interval [0 , 2pie ) :

[tex] \cos(x) = 0[/tex]

[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]

[tex] \tan(x) - \sqrt{3} = 0[/tex]

[tex] \tan(x) = \sqrt{3} [/tex]

[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]

[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]

____________________________________________

Thus the solutions are :

[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]

As u can see the first option is the correct answer .

And we're done....

Answer:

x = 5

Step-by-step explanation:

For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]

Hope it helps you in your learning process.

Answer:

4g² - 36gh + 81h²

Step-by-step explanation:

Apply the perfect square formula: (a - b)² = a² - 2ab + b²

(2g - 9h)²​ = (2g)² - 2(2g)(9h) + (9h)²

Simplify:

2g² = 4g²

-2 · 2g = -4g · 9h = -36gh

9h² = 81h²

= 4g² - 36gh + 81h²

hope this helps!

Answer:

<B = 70°

Step-by-step explanation:

First we need to find x, lets plugin these two equations.

2x - 30 = x + 20

Then find like terms

2x = x + 50 =

x = 50

Then we plugin 50 for x

2(50) - 30 =

100 - 30 = 70

<B = 70°

Hi!

The Triangle Angle Sum Theorem states that the sum of the interior angles in all triangles will always be 180 degrees.

We can set up an equation with the given information:

40 + (2x - 30) + (x + 20) = 180

Remove parentheses:

40 + 2x - 30 + x + 20 = 180

Combine like terms:

30 + 3x = 180

Subtract 30 from both sides:

3x = 150

Divide both sides by 3:

x = 50

Now, the problem wants us to solve for angle B.

Angle B is (2x - 30) degrees. We know the value of x, so we just have to substitute:

(2x - 30)

(2(50) - 30)

100 - 30

70

Therefore, angle B is 70 degrees.

Answer:

this polygon is a geometrical figure. Hope this helps you

Step-by-step explanation:

these are many reflective rays that satisfy this condition. The reflection Ray's for ended by the line between a better and it's opposite medpoint satisfy the reflection itself.

One of the reflected rays that meet this condition is shown in the figure above the line between vettex a and the metalpoint of the opposite Edge.

Answer:

Step-by-step explanation:

64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³

the anwer to your question is very ieasy it's b

Answer:

10.526% or 0.10526

Step-by-step explanation:

The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421.  Multiply these probabilities together to get your answer.  

Hope this helps:)

Answer:

12h+94=250, she will need to work 13 hours.

Step-by-step explanation:

we subtract 94 from 250, 250-94=156then we divide it by 12 which equals 13, 13=h.

Answer:

16

Step-by-step explanation:

So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.

Then 56-the sum of the 3 numbers you already have (11+12+17=40)

56-40=16

To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14

Answer:

12

Step-by-step explanation:

multiply 50 by 6 to get to 300

then 6 by 2 and you get 12

Answer:

B. 12

Step-by-step explanation:

The table shows the results after 50 spins; believing the results to be consistent, we would multiply the results by 6 to estimate the results after the spinner is spun 300 times.

I hope this helps.

Answer:

$43.87.

Step-by-step explanation:

let the regular price be x, then

0.75x = 32.9

x = 32.9 / 0.75 = $43.87

Answer:

43.87

Step-by-step explanation:

Let the regular price be T

Answer:

See below ~

Step-by-step explanation:

#1)

#2)

#3)

Answer:

That is right

Step-by-step explanation:

An outlier is a number that does not fit in a data set and is does not belong because it is to high or to low. In this case it is to low.

Answer:

the expression is equal to 40

Step-by-step explanation:

When given a= 5 and b=2, you can change your expression to read

3+11(5)-9(2)

All you have to do is simplify and you are given 40 :)

Answer:

Step-by-step explanation:

I take that x to be multiplication.

Combine 240 *3

(80 + 720) ÷ 20    

Combine inside the brackets

80 + 720 = 800

What's left is 800÷ 20

Answer 800 ÷ 20 = 40

Answer:

(1,3)(1,4)

Step-by-step explanation:

One input cannot have two outputs so one x-value cannot have two y-values.

b = 14

Step-by-step explanation:

3b/7 - 1 = 5

+1

3b/7. = 6

x7

3b. = 42

÷3

b = 14

Hope this helps!

To solve this problem where we need to find the radius:

   ⇒ find the relationship between height, volume, and radius

     ⇒ only equation that involves all these quantities is

       ⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]

Let's set up our volume equation with known quantities

 [tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]

  *r cannot be negative thus r equals a positive 8

Thus the radius is 8.00 inches (rounded to the nearest hundredth)

Hope that helps!

Answer:

8.00 inches

Step-by-step explanation:

Given:

To find:

Cylinder’s Volume:

Substitute given information in:

[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]

Solve for r by dividing both sides by 47.1:

[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]

However, radius is a scalar value so it cannot be negative - the radius is 8 inches

Since you want in nearest hundredth then the radius is 8.00 inches

Answer:

14.47 rounded to the nearest whole number is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 is less then 5 so you do not need to go up!

Answer:

zeros are at x = -1, x = 2 and x = -3

continues downward to the left and upward to the right

Step-by-step explanation:

Given function:

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

⇒ (x + 1)(x - 2)(x + 3) = 0

⇒ (x + 1) = 0 ⇒ x = -1

⇒ (x - 2) = 0 ⇒ x = 2

⇒ (x + 3) = 0 ⇒ x = -3

Therefore, the zeros are at x = -1, x = 2 and x = -3

If we expand the brackets of the function we get:

f(x) = (x + 1)(x - 2)(x + 3)

     = (x + 1)(x² + x - 6)

     = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]

[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]

So the correct option is:

"continues downward to the left and upward to the right"

There are different ways to construct an angle. The steps used in constructing a line segment are;

First, you have to put the compass at a one specific end of line segment.

Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.

Then you have to draw arcs up and down the line.

while using the same compass width, you then draw arcs from one specific end of line.

and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.

The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.

What are the construction process of Angles?

This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.

Learn more about line segment from

brainly.com/question/2437195

The steps to construct an angle and its bisector are described above.

The angle can be defined as the one line inclined over another line.

Here,
Step 1,
Draw a random size horizontal line,

Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,

Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.

Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed

Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.

Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.

Thus, The steps to construct an angle and its bisector are described above.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ6

Answer:

Since the two angles, A and C are given to be 48° ang 46.7°, respectively, the value of angle B may be calculated by difference. Note that for a triangle, the sum of the angles is 180°. This makes the angle B equal to 85.3°. By the Sine Law,

                             b / sin B = a / sin A

Substituting,

                             b / sin 85.3° = 44 / sin 48°

The value of b from the equation is approximately equal to 59.01.

Answer:

35

Step-by-step explanation:

is correct for ape x

Answer: EF= 16 units

Step-by-step explanation:

I took the test and also EF has to be greater just by looking at the triangle.

[tex]a = \frac{(9.5 + 23.1) \times 5.8}{2} \\ [/tex]

[tex]a = \frac{32.6 \times 5.8}{2} \\ [/tex]

[tex]a = 16.3 \times 5.8[/tex]

[tex]a = 94.54 \: \: {m}^{2} [/tex]

Answer:

½

Step-by-step explanation:

first do ⅚-²/7

then take lcm of 6 and 7

then do multiply

Answer:

5/21

Step-by-step explanation:

Numerator 5 times the Numerator 2(which equals 10) over denominator 6 times denominator 7 (which equals 42) will give 10/42. Break it down by dividing both denominator and Numerator by 2 to get the final answer