Mathematics High School

A ladder is leaning on a wall. The ladder is 45 feet long. The angle formed by the ladder and the ground is 32. How far does the ladder reach up the wall?

Answers

Answer 1

Answer:

23.85 feets

Step-by-step explanation:

Given that :

Length of ladder, L = 45 feets

Angle formed by ladder and ground, θ = 32°

Using trigonometry :

Sin θ = opposite / hypotenus

Opposite = h

Hypotenus = 45

Sin 32 = h / 45

0.5299192 * 45 = h

23.846366 = h

Hence, height of ladder = 23.85 feets

Related Questions

Write an equation in slope-intercept form that would have infinitely many solutions in a system of
equations with 6x - 2y = 8.

help!!!!!

Answers

The answer is y=3x-4

I dont know how to do it sooo

Answers

Answer:

Step-by-step explanation:

Well it would be C/3Thrd because you are repeating 3(x-1) aren't you?

what is 100 divide by 1,000?

Answers

100 divide by 1000 is 10

Answer:

0.1

Step-by-step explanation:

Which is equivalent to 8s + 20t by the distributive property?

Answers

Answer:

same

Step-by-step explanation:

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Answer:

Step-by-step explanation:

4 (2s + 5t)

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Answers

Answer:

the answer is C.two parallel lines.

Given the diagram shown below, determine the value of x.

Answers

math was fun until they added words and letters

Please help! Slope intercept form

Answers

Answer:

3x + 5

Step-by-step explanation:

plug in (1,8) as x in y so it looks like this

8 = 3(1) + B then solve for B to get 5 then plug it in as y=3x+5

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Answers

Dont open that link bro its a bot

Ramona is installing a kitchen counter that is 9 feet by 3 feet. The counter has a hole in it for a sink that is 2 feet by 3 feet. What is the area of the kitchen counter? Complete the equation to calculate the area.

Answers

Answer:

Therefore the area of the kitchen counter is 21 square feet

Step-by-step explanation:

Area of the sink = 2 x 3

= 6 square ft.

Area of the kitchen counter = 9 x 3 -(6)

=27 - 6

= 21 square ft.

The area of the kitchen counter is 21 square ft.

Answer:

Therefore the area of the kitchen counter is 21 square feet

Step-by-step explanation:

Area of the sink = 2 x 3

= 6 square ft.

Area of the kitchen counter = 9 x 3 -(6)

=27 - 6

= 21 square ft.

The area of the kitchen counter is 21 square ft.

Connor invested $8,000 in an account paying an interest rate of 82% compounded
monthly. Henry invested $8,000 in an account paying an interest rate of 8 %
compounded daily. After 5 years, how much more money would Henry have in his
account than Connor, to the nearest dollar?

Answers

Answer:

Connor would have $83.37 more than Henry.

Step-by-step explanation:

Connor:

Initial investment= $8,000

Interest rate= 8.2% = 0.082/12= 0.00683

Number of periods= 12*5= 60 months

Henry:

Initial investment= $8,000

Interest rate= 8% = 0.08/365= 0.00022

Number of periods= 365*5= 1,825 days

To calculate the future value, we need to use the following formula on each investment:

FV= PV*(1+i)^n

Connor:

FV= 8,000*(1.00683^60)

FV= $12,035.35

Henry:

FV= 8,000*(1.00022^1,825)

FV= $11,951.98

Difference= 12,035.35 - 11,951.98= $83.37

Connor would have $83.37 more than Henry.

Gina is comparing the membership fees for two museums. The art museum charges a one-time fee of $7.25 plus $3.50 per month. - The science museum charges a one-time fee of $10.50 plus $4.50 per month. How much does she save after m months by joining the art museum instead of the science museum? (Hint: write the expressions for the art museum and the science museum FIRST and then find the difference)

Answers

Answer:

here two links for your answer. https://quizlet.com/325167814/financial-math-flash-cards/ https://quizlet.com/475135130/financial-math-e2020-flash-cards $2.5

Step-by-step explanation:

The art museum charges a one-time fee of $8.25 plus $2.25 per month.

So, the cost function for membership for x months in the art museum f(x) = 8.25 + 2.25x .............. (1)

Again, the science museum charges a one-time fee of $10.75 plus $3.5 per month.

Hence, the cost function for membership for x months in the science museum g(x) = 10.75 + 3.5x ........... (2)

So, from both the equations it is clear that for only joining the monthly charges are zero.

So, f(0) = 8.25 and g(0) = 10.75.

Therefore, Barrett will save by joining the art museum instead of the science museum by $(10.75 - 8.25) = $2.5. (Answer)

Step-by-step explanation:

Can someone pleade help me on this question 8

Answers

It’s d because it is

Find the area of the shaded region. Round to the nearest hundredth when necessary.

Answers

Answer: 423.11 m^2

Step by step explanation:

Area of a circle formula pi*r^2

First solve the area of the big circle

3.14*21^2=1384.74 m^2

Now find the are of the smaller circle

r=21-3.5=17.5
3.14*(17.5)^2=961.63 m^2

Now we can minus the small area off the big area to get the shaded area.

1384.74-961.63=423.11 m^2

So the area of the shaded region is 423.11 m^2

Becky is working on a weekly budget. She earns $385 per week. Becky spends $200 per week on rent and utilities plus $57 on food. After paying for rent, utilities, and food, Becky deposits 3/4 of the amount left over into a savings account. She spends the rest on entertainment. How much money does she spend on entertainment?

Answers

Answer:

$32

Step-by-step explanation:

200 + 57 = 257.

385 - 257 = 128

128 x 3/4 = 96 (deposited)

128 - 96 = 32

Becky spends $32 on entertainment

1533996.553x7+95%x63

Answers

Answer:

2823x34

Step-by-step explanation:

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Answer:

the answer is 10738035.721

Please help show work

Answers

Answer: 17 is A and 18 is B

17) 2(3x8)+2(3x6)+2(6x8) = 180

18) 4(9x2)+2(9x9) = 234

Rewrite 19/ 5 as a mixed number.

Answers

Answer:

3/4

Step-by-step explanation:

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The answer is 3 and 4/5

Your brother is driving 40 km/hour when he slams on his brakes to avoid
hitting a dog crossing the road. if it takes him 5 seconds to stop, what is his
rate of acceleration?

A. 8 km/hr/sec

B. 40 km/hr/sec

C. 45 km/hr/sec

D.200 km/hr/sec

Answers

Answer:

Step-by-step explanation:

40 divided by 5 is 8 :D

Answer: A. 8 km/hr/sec

Step-by-step explanation:

You divide 40 by 5

40/5

which you'll get

Please help me find the length of EC

Answers

Answer:

Step-by-step explanation:

BD=AC

E is the midpoint of both lines, so BE=CE

32 is what percent of 110? (round to the nearest percent)

Answers

35.2 jsnshahahsjsjsjsjsjsjsjjsjsjsjsjjss

two angles of a quadrilateral are 67 and 100. what is the sum of the other two angles

Answers

Answer:

Step-by-step explanation:

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The distance s, in feet, that an object will fall in t seconds is given by the formula
s = 16t2 + vt,
where v is the initial velocity of the object in feet per second.

Find the initial velocity of an object that falls 96 ft in 2 s.
ft/s

Answers

Answer:

vi = 16ft/s

Step-by-step explanation:

96 = 16(2)² + 2v

2v = 96 - 64

2v = 32

v = 16

What is the function
X
- 1
0
1
2
3
у
-1
-0.5
0
0.5
1
The table represents
a linear function.
Write the function.
y=

Answers

Answer:

Step-by-step explanation:

x y Difference (d)

-1 -1 -

0 -0.5 -0.5 - (-1) = 0.5

1 0 0 - (-0.5) = 0.5

2 0.5 0.5 - 0 = 0.5

3 1 1 - 0.5 = 0.5

There is a common difference (d) = 0.5

Therefore, table represents a linear function.

Let the equation of the linear function is,

y = mx + b

Here, m = Slope and b = y-intercept

Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] will be,

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

Two points from the given table are (-1, -1) and (0, -0.5)

m = [tex]\frac{-0.5-(-1)}{0-(-1)}[/tex]

m = 0.5

Y-intercept of the line 'b' = -0.5 (Value of y at x = 0)

Therefore, equation of the line will be,

y = 0.5x - 0.5

How do you write 60.39% as a decimal?

Answers

Answer: 0.6039

Step-by-step explanation:

Answer:

60.39% = 0.6039

Step-by-step explanation:

To write it as a decimal we have to divide it by 100.

60.39% ÷ 100 = 0.6039

Franklin needs 1.25 meters of ribbon to wrap each gift. He has a spool of ribbon that contains 25 feet of ribbon. One meter is equivalent to approximately 3 feet. How many gifts of the same dimension can he wrap using the spool of ribbon?

Answers

Answer:

Step-by-step explanation:

convert 1.25 meters to feet

1 meter = 3 feet

1.25 meters = 1.25 x 3 = 3.75 feet

Number of gifts he can warp = 25 feet / 3.75 = 6.6

Sugar Rounds Donut Shop offers 2 free donuts with every 20 purchased donuts. Sweet Delights Donut Shop offers 3 free donuts with every 30 purchased donuts. Which donut shop offers a greater ratio of free donuts to purchased donuts?

Answers

Answer:

there the same ratio because there both offering the same ratio of of there number

3x10=30 ratio : 10

2x10=20 ratio: 10

Step-by-step explanation:

Work out the area of the rectangle using a calculator and
giving your answer as a mixed number.
2 2/7 cm and 5 1/6 cm

Answers

Answer:

area = 11 17/21 cm²

Step-by-step explanation:

area = length x width

area = 2 2/7 x 5 1/6 = 16/7 x 31/6 = 496/42 = 11 34/42 = 11 17/21 cm²

what is the perimeter of figure B ?

Answers

Answer:

35 for perimeter of b

122.5 for perimeter of a

Step-by-step explanation:

To find the perimeter, you add all of the values of the outside of the shape together. Since 12+9+9+5 = 35, the answer is 35.

Okay, so what you have to do is set up a proportion for a to b. To do that, you have to have a fraction where a is the numerator and b is the denominator. 7/2 equals x/35. Then cross multiply

7*35 = 2x

x = 122.5 :)

Answer:

The perimeter is 35.

Step-by-step explanation:

To find perimeter, add all the sides together.

9 + 9 + 5 + 12 = 35

The perimeter is 35.

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Answers

Answer:

240 ounces

Step-by-step explanation:

y'know you could just look this up lol

Answer:

240 oz

Multiply pounds by 16

15 × 16 = 240

How to prove this using trig identities?
(Tan B + Cot B)^2 = sec^2B + csc^2B

Thanks and please shows steps. I will vote best answer and helpful and do more.

Answers

Step-by-step explanation:

tanB + cotB = (sinB)/(cosB) + (cosB)/(sinB)

= (sin2B + cos2B)/[(cosB)(sinB)]

= 1/[(cosB)(sinB)]

= (1/cosB)(1/sinB)

= (secB)(cscB)

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