Mathematics High School


Marissa climbs a vertical ladder to go down a slide. The slide makes a 25° angle with
the ground. If the ladder is 12 ft tall, what is the length of the slide?

Answers

Answer 1

Answer:

28.39 ft

Step-by-step explanation:

The ladder is the vertical leg and the slide is the hypotenuse of the triangle formed.

The angle opposite the ladder is 25°, slide has the length of x.

sin 25° = opposite/hypotenusesin 25° = 12/xx = 12/sin 25°x = 28.39 ft

Related Questions

How do you write 16/20 as a percentage​

Answers

Answer:

80 percent

Step-by-step explanation:

80%: divide 16 by 20 and the multiply by 100

What is the factored form of this polynomial? 2x^4 + 2x^3 - x^2 - x

Answers

x ( x + 1 ) (2x^2 - 1)

1 1/2×(−6/15) Not a big math person what is this?

Answers

Answer:

11/2×(-6/15)

=-11/2×6/15

=-11×3/15

=-11×1/5

=-11/5

16 m - 14
???????????help

Answers

Umm... 16(m-14)?
16m-224

If it is 16m-14, I’m not sure how to solve without more information.

What is the measure of each angle?


plz hurry and this will be 40 points :D

Answers

Answer:

27 and 63 degrees

Step-by-step explanation:

Which method would be best (quickest) for solving the system below:
3x - 4y = -2
y = 2x + 1

Answers

To solve with Elimination:

Write the equations under one another, like this:

2x - y = -1
+ 3x + 4y = 26

Ideally, we would like for one of the variables to be eliminated when we add vertically (straight down). But if we add them as they are this does not happen. We must manipulate one of the equations so that it will happen. Again, you can try to eliminate either x or y. I always look for a term that has a coefficient of 1 (or negative 1). So, let's use that y from the first equation again.

If the coefficient of the y in the other equation is POSITIVE 4, then I need the coefficient from the first equation to be its opposite, NEGATIVE 4. To do this, simply multiply the first equation by 4, this will create MAGIC!

4( 2x - y = -1)
+ 3x + 4y = 26

Be certain to Distribute across the entire first equation, so multiply all three terms by 4.

8x - 4y = -4
+ 3x + 4y = 26

Now add straight down (vertically). The y term will be eliminated.

11x = 22

Divide both sides of the equation by 11.

x = 2

Almost there! Now, substitute the 2 in for x in either of the original equations. Either one will work. I'm gonna use the second equation.

3x + 4y = 26

3(2) + 4y = 26

6 + 4y = 26

Subtract 6 from both sides of the equation.

4y = 20

Divide both sides of the equation by 4.

y = 5

That's it! There it is again. Put it all together. If x = 2 and y = 5, then the solution is the ordered pair, (2,5).

3x^2-8x+4=0 Solve quadratic equations by completing the square.

Answers

Answer:

x = ⅔ Or x = 2

Explanation:

3x² − 8x + 4 = 0

Factor left side of equation

(3x − 2)(x − 2) = 0

Set factors equal to 0

3x − 2 = 0 or x − 2 = 0

x = ⅔ or x = 2

Quadratic equations are a form of algebraic equations that can or cannot be factorized.

The value of x is 2  and 2/3

Quadratic equations come in the form: ax²+ bx + c = 0

Solution by completing the square for:

3x²− 8x + 4 = 0

a = 3 , a≠1 so  we divide through by 3

3x²/3 − 8x/3 +4/3 = 0/3

which gives us

x²− 8x/3 + 4/3 = 0

Subtract 4/3 from both sides

x²− 8x/3 + 4/3 - 4/3  = 0 - 4/3

 x² − 8x/3 = −4/3

Take half of the x term and square it  and  add the result to both sides

x² − 8x/3 + 16/9 = −4/3 + 16/9

Rewrite the perfect square on the left

(x − 4/3)² = −4/3 + 16/9

and combine terms on the right

(x − 4/3)²= 4/9

Take the square root of both sides

x − 4/3 = ±√4/9

Simplify  

x − 4/3 = ±2/3

Collect like terms

x = 4/3 ± 2/3

Solving for x

x = 4/3 + 2/3

x = 6/3

x = 2

Also:

x=4/3 − 2/3

which becomes

x = 2/3

To learn more, visit the link below:

https://brainly.com/question/18087176

PLEASE SOMEONE HELP ME PLEASE

Answers

Answer: 1735  3/10

Step-by-step explanation:

suzy ran 4 laps on monday and 10 laps on friday. what is the percent of change from monday to friday? HELPP WILL MARK BRAINLIAST

Answers

Answer:

SHE RAN 6 MORE LAPS ON FRIDAY THAN MONDAY

Step-by-step explanation:

Hurryyyy helpppp
Find the unknown side length, x. Write your answer in simplest radical form.

A. 2√41
B. 4√29
C. 48
D. 58

Answers

Answer:

The answer is D. 58

Step-by-step explanation:

I'm just good like that

[-1+(2²-5×6)]÷(-5+2)+1

Answers

Answer is 10

Step-by-step explanation:

Create two expressions equivalent to 48j + 36 using the expresion below:
6(_ j + _ )

Answers

Answer:

Two expressions equivalent to 48j + 36.

Use distributive property of multiplication.

Since 6 is the factor, divide each term by 6 to get the other factor;

48j + 36 = 6*8j + 6*6 = 6*(8j + 6) =6*2(4j + 3)

please help i will mark branliest

Answers

Joshua can make 6 plates

Answer: B

I say B because if you put 30 into 6 circles it makes 6 plates. It would not be C because B puts the balls before plates.

can you help me please ​

Answers

Honestly, I don’t really know but I believe it’s 3

In the diagram below, what is the approximate length of the minor arc ?
A. 36 cm
O
B. 72 cm
23 cm
120*
ОО
C. 48 cm
D. 24 cm

Answers

Answer:

The approximate length of the minor arc would be 48 cm.

Answer:

C

Step-by-step explanation:

Simplify the expression -2 (x + 4 + 5y).

Answers

Answer:

-2x-10y-8

Step-by-step explanation:

Rearange terms

-2(x+4+5y)

-2(x+5y+4)

Distribute

no solution, one solution, or infinitely many solutions?

Answers

Answer:

Top: one solution (10, -2)

Middle: No solution

Bottom: infinite solution

Step-by-step explanation:

Top: one solution (10, -2)

Middle: No solution

Bottom: infinite solution

Mrs. Smith opened a checking account with $100. In the first month, she wrote checks for $42 and $35 and deposited $350. How much was in her account after these transactions.

Answers

Answer:

$373

Step-by-step explanation:

$100 - $42 = $58

$58 - $35 = $23

$23 + $350 = $373

Mrs. Smith has $373 in her bank account

y = 5x − 7 −3x − 2y = −12 solved by substitution please show the work too so i can understand

Answers

Answer:

y=3, x=2

Step-by-step explanation:

-3x-2(5x-7)=-12 (substitute y=5x-7)

simplify

{-13x+14=-12\}

isolate x for -13x +14=-12: x=2

for y=5x-7 substitute x=2

simplify y=3

sorry i know this is quite lenghty but i hope this helps :) have a nice day !!


Divide. Explain how you got your answer.
6.2 divided by 3/4

Answers

Answer:

8.27 is the answer thanks for reading

which linear any qualities could represent the given table of values

Answers

B is correct cause it was a lot of things to do and it was hard for me to do

A car rental agency charges $40 per day for the first 7 days, and $35 a day for each day after that. How much would joe be charged if he rented a car for 10 days?


$415
$405
$395
$385
$375

Answers

Answer:

$385

Step-by-step explanation:

7x$40=280

3x$35=105

280+105=385

Answer:

$385

Step-by-step explanation:

If for the first seven days Joe has to pay $40, you would multiply that number by seven to get $280. However, he had the car for 3 extra days so you would multiply the additional cost of $35 per day by 3 to get $105. After that all you have to do is add $280+$105 to get a total of $385.

4х + Зу = -6
5х – бу = -27

Answers

Answer:

x=3

y=7

Step-by-step explanation:

An account earns simple interest. Find the annual interest rate.

I= $225

P= $1500

t= 5 years

The annual interest rate is
%.

Answers

Annual interest rate is 225

Let g(x) = 5x + 7. What is g(1)?

Answers

Step-by-step explanation:

given

g(x) = 5x + 7

g(1) = 5 * 1 + 7

= 5 + 7

= 12

Hope it will help :)

Answer:

12

Step-by-step explanation:

5 x 1=5

5+7=12

Which inequality is represented by the number line diagram shown below

Answers

I think it’s the second one, I did the test and got an A

x < 0

(Sorry I responded late hope this helped)

Answer:

x>-1

Step-by-step explanation:

Because the sign is going to the right so it is automatically less than, and the point is on -1 going to the right. I took the test don't worry this answer is right. :)

For a school fundraiser 10 students sold a total of 90 boxes of cookies which can be calculated from this information

Answers

Answer:

90 ÷ 10 = 9 boxes per student

Step-by-step explanation:

90 ÷ 10 = 9 boxes per student

Find the equation of the line shown

pls help

Answers

Answer:

y= 1/2x+ 0

or:

y= 1/2x+ 0

Step-by-step explanation:

x/2 = y as when you plot on the graph

10x = 5
8x = 4
gap of 2

The graph models the population of a species of moth as a function of days since the count began.

What does the y-intercept represent?

The population will continue to increase.
The population when the count began was 125,000.
On day 125, there were 0 moths remaining.
The population after 60 days was 20,100.

Answers

Answer:

Here is the correct answer sorry that I am late, but hope this helps others! Have a nice day! And also this really helpful for k12 students!

Answer:

The population when the count began was 125,000.

is the correct answer

B.

Step-by-step explanation:

How to find the slope of (0,7) and (5,9)?

Answers

Answer:

The slope is 2/5 (0.4).

Step-by-step explanation:

The formula for finding a slope is m = (yB - yA)/(xB - xA). That equation becomes:

m = (9 - 7)/(5 - 0)

Subtract 7 from 9 to get 2.

m = 2/(5 - 0)

Any number subtracted by 0 equals itself.

m = 2/5, or 0.4 is the final answer.

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