Angle Relationships

A water slide is a straight ramp 25 m long that starts from the top of a tower. If the angle the slide forms with the top of the tower is 33°. determine the height of the tower. Round your answer to the nearest meter.

a. 30 m
b. 25 m
c. 24 m
d. 21 m

Pleases elect the best answer from the choices provided

Answer:

x= -3/5

Step-by-step explanation:

Answer:

50?

Step-by-step explanation:

im not sure please think about it, but I think it might be 50

Answer:

x ≈ 24.4

Step-by-step explanation:

Given

tan18° = [tex]\frac{x}{75}[/tex] ( multiply both sides by 75 )

75 × tan18° = x , then

x ≈ 24.4 ( to 1 dec. place )

Answer:

45

Step-by-step explanation:

Answer:

x = 75

Step-by-step explanation:

x/15 = 5

Multiply each side by 15

15*x/15 = 5*15

x = 75

Answer:

x = 75

Step-by-step explanation:

Reverse the problem meaning you have to do multiplication

5 times 15 is 75

To check your work divided 75 by 15 and if it equals 5 it is correct

Hope this helped :]

Answer:

its 34

Step-by-step explanation:

you just add

Answer:

330

Step-by-step explanation:

123.75 : 15= 8,25--> the money you earn in one hour.

8,25 x 10= 82,50--> the money you earn in 10 hours.

247,50 (30h) + 82,50 (10h)= 330 (40h)

:)

Answer:

10+2b

Step-by-step explanation:

do 2(b+3)

2xb + 2x3

2b+6

4+(2b+6)

10+2b

hope that helped

Given:

The equation is:

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

To find:

The value of a.

Solution:

We have,

[tex]\left(3+4\sqrt{3}\right)\left(2-a\sqrt{3}\right)=-18+2\sqrt{3}[/tex]

On simplification, we get

[tex](3)(2)+(4\sqrt{3})(2)+(3)(-a\sqrt{3})+(4\sqrt{3})(-a\sqrt{3})=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-4a(3)=-18+2\sqrt{3}[/tex]

[tex]6+8\sqrt{3}-3a\sqrt{3}-12a=-18+2\sqrt{3}[/tex]

[tex](6-12a)+(8-3a)\sqrt{3}=-18+2\sqrt{3}[/tex]

On comparing both sides, we get

[tex]6-12a=-18[/tex]

[tex]-12a=-18-6[/tex]

[tex]a=\dfrac{-24}{-12}[/tex]

[tex]a=2[/tex]

And,

[tex]8-3a=2[/tex]

[tex]-3a=2-8[/tex]

[tex]a=\dfrac{-6}{-3}[/tex]

[tex]a=2[/tex]

Therefore, the value of a is 2.

Answer:

Its X-1

Step-by-step explanation:

Answer:

x= 5

Step-by-step explanation:

the | | around a number is called an absolute. It simply means that the number is always going to be positive. If you have |-4| it's the same as saying 4.

Answer:

Step-by-step explanation:

yesssss

Answer:

A. 30 = ⅓(8h)

Step-by-step explanation:

Volume of cone (V) = 30 ft³ (given)

Base area (BA) = 8 ft² (given)

height = ?

Formula for volume of a cone = ⅓*B.A*h

Plug in the values into the equation

30 = ⅓*8*h

30 = ⅓(8h)

Expression to find the height will be 30 = ⅓(8h)

Answer:

look at the photo

Step-by-step explanation:

Disregarding the force of gravity, the maximum velocity v of a rocket is given by v = t ln M, where t is the velocity of the exhaust and M is the ratio of the mass of the rocket with fuel to its mass without fuel. A solid propellant rocket has an exhaust velocity of 2.5 kilometers per second. Find its mass ratio M.

Hope it will help you

Answer:

I can't see the image but to help the formula is volume=LENGTH x Width x Height :)

Step-by-step explanation:

Answer:

[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Step-by-step explanation:

In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term is defined as slope in y = mx+b form which is slope-intercept form.

Now we substitute these ordered pairs (x, y) in the formula.

[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]

After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is

[tex] \large \boxed{y = mx + b}[/tex]

We already know m-value as we substitute it.

[tex] \large{y = - \frac{1}{9} x + b}[/tex]

We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)

We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]

Finally, we know b-value. Then we substitute it in our equation.

[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]

Answer:

x<-4

Step-by-step explanation:

x+9<5

-9 -9

x<-4

1. subtract the 9 on both sides to have x alone

Answer:

The Rule of 72 is a simplified formula that calculates how long it'll take for an investment to double in value, based on its rate of return. The Rule of 72 applies to compounded interest rates and is reasonably accurate for interest rates that fall in the range of 6% and 10%.

Answer:c

Step-by-step explanation:

Answer:

B i think

Step-by-step explanation:

Stole the picture off a website (which can not be named here lol)

f(x) = x - 5 ln(x)

Get the derivative:

f'(x) = 1 - 5/x

Find the critical points:

• f'(x) = 1 - 5/x = 0   ->   5/x = 1   ->   x = 5

• f'(x) is undefined for x = 0, but that's outside the domain of f(x)

Get the second derivative:

f''(x) = 5/x ^2

Check the sign of the second derivative at the critical point x = 5:

f'' (5) = 5/5^2 = 5/25 = 1/5 > 0

Since the second derivative is positive at this point, this means x = 5 is a local minimum.

Check the value of f(x) at the critical point as well as the endpoints of the given domain:

f (5) = 5 - 5 ln(5) ≈ -3.407

f (1/5) = 1/5 - 5 ln(1/5) ≈ 1.809

f (10) = 10 - 5 ln(10) ≈ -1.513

So we have

• absolute maximum = 1/5 - 5 ln(1/5) at x = 1/5

• absolute minimum = 5 - 5 ln(5) at x = 5

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Given the function f(x)=x−5ln(x),

We are to find the absolute minimum and maximum value of the function

At the turning point f'(x) = x - 5ln(x)

f'(x) = 1 - 5/x

0 = 1 - 5/x

-5/x = -1

-x = -5

x = 5

Find the second derivative of the function;

f''(x) = -5/x²

Substitute the value of x = 5 into the second derivative function to have:

f''(5) = -5/5² = 1/5

Since f''(5) = 1/5 < 0, this is the local maximum and the point x = 5 is the absolute minimum

The absolute maximum value is  f(5)=5−5ln(5), and this occurs at x equals 5

The absolute minimum value is  f(1/5)= 1/5−5ln(1/5), and this occurs at x equals 1/5

Learn more here: https://brainly.com/question/19921479

Answer:

52

Step-by-step explanation:

break down the shapes into simpler ones

do base X height for both

add both

Answer:

52cm^2

Step-by-step explanation:

Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2

Answer:

43% of the students prefer biology

Step-by-step explanation:

Among girls:

39 of the students are girls.

21 of the girls like biology best.

Boys:

100 - 39 = 61 are boys.

16 prefer physics

11 out of the 34 who prefer chemistry are girls, so 34 - 11 = 23 are boys.

61 - (16 + 23) = 22 prefer biology.

What percentage of the students prefer biology?

21 boys and 22 boys, that is, 43 students out of 100. So

43*100%/100 = 43%

43% of the students prefer biology

Answer:

95

Step-by-step explanation:

[tex]x \degree = 95 \degree \\(vertical \: angles) \\ \\ x = 95[/tex]

Answer:

Independent of the unknown population standard deviation σ

Step-by-step explanation:

It is one tailed test so the data is right skewed.

The t distribution approaches the standard normal distribution as the number of degrees of freedom or the sample size becomes larger.

Here the number of degrees of freedom in = n-1= 35- 1= 34

This is the only parameter of the t distribution.

The important property of t distribution is that it is independent of the unknown population standard deviation σ . It is therefore applied to test hypotheses about the mean of the population irrespective of what the standard deviation may be.

Answer:

Your answer is c

Step-by-step explanation:

the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c

32°

___________________

180-116= 64

½×64=32°

Answer:

The answer is, [tex]32^{0}[/tex]

Step-by-step explanation:

The set of all points in the plane that are a fixed distance (the radius) from a fixed point is called a circle (the centre). A radius is the distance between any two points on a circle and the center. Any two radii have the same length according to the definition of a circle.

=[tex]180-116\\64[/tex]

=[tex]1/2[/tex]×[tex]64[/tex]

=[tex]64/2\\32^{0}[/tex]

The angle TUV are  [tex]32^{0}[/tex].

To know more about circle here, https://brainly.com/question/24375372

#SPJ2

Answer:

X° is A=D116°

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

- The first thing to do is open parentheses:

7 (x - 3) = 49

7x - 21 = 49

- Then add 21 to each side:

7x - 21 = 49

7x = 70

- Now divide each side by 7:

7x = 70

x = 10

Answer:

it 50

Step-by-step explanation:

Answer:

The answer (I think) is 50.

Step-by-step explanation:

I'm a little cautious, just cause because this question seems so easy.‍♀️

51 is closest to 50, so 51 rounded to the nearest tenth is 50.

Could I be marked as Brainliest please???