Mathematics High School

The drawing below represents a 22-foot ladder with its base placed 10 feet from the bottom of a vertical wall.

which value is the best estimate for x?


a.24.3

b.63.0

c.27.0

d.65.6

Answers

Answer 1

Answer:

63°

Step-by-step explanation:

To get the value of x we will use the Pythagoras theorem

hyp² = opp²+adj²

Given

hyp is the length of the ladder = 22ft

Adjacent is the distance from the base of the ladder to the wall = 10ft

Angle of elevation = x

Using the SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos x = 10/22

Cos x = 5/11

x = arccos(5/11)

x = arccos(0.4545)

x = 62.96°

Hence the best estimate of x is 63°

The Drawing Below Represents A 22-foot Ladder With Its Base Placed 10 Feet From The Bottom Of A Vertical

Related Questions

PLEASE HELP MEEE
Evaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)​

Answers

Answer:

16

Step-by-step explanation:

Evaluate the function. f(x) = 4x2 + 4x - 4 Find f(3)​

f(3) = 4 x 2 + 4(3) - 4

After this step conduct PEMDAS

f(3) = 4 x 2 + 12 - 4

f(3) = 8 + 12 - 4

f(3) = 20 - 4

f(3) = 16

All of the points in the graph are on the same line.

Find the slope of the line.

Answers

Answer:

The slope of the line is [tex] \frac{1}{2} [/tex].

-

Step-by-step explanation:

☆Remember:

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

☆Just plug it in with 2 sets of coordinate points.

[tex]m =  \frac{7 - 3}{9 - 1} = \frac{4}{8} = \frac{1}{2} [/tex]

the sum of a number and 12

Answers

Answer:

D) n+12

Step-by-step explanation:

The expression that represents the and of a number and 12 is n + 12. Hence, option D is correct.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data provided in the question,

The statement is the sum of number and 12,

Let the number be n.

Then the expression will be,

n + 12.

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PLS MY ASSIGNMENT IS LATE I NEED IT NOOOOOW!

Answers

Step-by-step explanation:

A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87

Answers

Answer:

b

Step-by-step explanation:

area = pie x radius(2)

         = 3.142 x 13 (2)

          = 530.998

Jonathan is building an outdoor staircase for his deck. He uses 8 screws for every 2 steps. If there are 14 steps, how many screws does Jonathan need?​

Answers

Answer:

56 screws

Step-by-step explanation:

So, first we can find how many screws he needs.

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws

The screws does Jonathan need is  56 screws.

It is required to find how many screws does Jonathan need.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Jonathan uses 8 screws for every 2 steps. If there are 14 steps.

So, first we can find how many screws he needs.

According to given question we have

So,  if he uses 2 steps for 8 screws, and has 14 steps, that means he puts screws in 7 steps ( 14÷2)

then, if he uses 8 screws, each with 8 steps, we can do 8 times 7, which is 56 screws.

Therefore, the screws does Jonathan need is  56 screws.

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Slope =3/2 y-intercept =0

Answers

X=3/2 because there is no y which would make the line parallel to the y axis so the equation would be x=a

Answer:

The equation is y=3/2x

Step-by-step explanation:

Solution of this system of equations. (Write it as a point)

Answers

(1,5) I think, because that’s where the points intersect

find the value of t

need help fast ​

Answers

Answer:

13

Step-by-step explanation:

what is four sevenths dividend by three fifths​

Answers

Answer:

5 answer

Step-by-step explanation:

7÷35 (7×5=35 )

5

Answer:

7=have ha I have a panda but the y avg bee

jane had a collection of balloons she gave 1/4 of her collection to her sister. how many balloons does jane have now?​

Answers

Answer:

3/4

Step-by-step explanation:

Answer: 3/4

Explanation:
Becaus the fraction is 4/4 total, it means Jane had 4 balloons before. But because she gave 1/4 to her sister the equation is 4/4 - 1/4 = 3/4 .

Help Plsssss middle school math

Answers

Answer:

99 votes for ice cream

Step-by-step explanation:

4 + 11 + 8 + 7 = 30

270/30 = 9

to find the predictions multiply the votes by 9

ice cream has 11 votes

11 * 9 = 99

Answer:

99

Step-by-step explanation:

Add up total amount of votes

4+11+8+7 = 30

270/30 = 90

Set up ratio

11/30 = x/270

cross multiply

30x = 2970

divide both sides by 30 to get x by itself

x = 99

jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?

Answers

Answer:

37 minutes. :))

Step-by-step explanation:

please help me!! :DDDDDDDDD

Answers

Answer:

4

-5

Step-by-step explanation:

If the camper leader has 12 campers, how much does she spend on books?

Answers

Answer:

bro how she got 12 campers

Step-by-step explanation:

Which equation has a solution of 2/3 for x?
A. 15x = 10
B. x - 1 = 1/3
C. 16x = 24
D. 1 1/3 + x = 3

Answers

Answer: A. 15x = 10

Step-by-step explanation: 15 x 2/3 = 10.

-zomba

A store buys a jacket for 20.00$ and then sells it to customers for 80% more than that. What is the selling price of the jacket?​

Answers

Answer:

100 + 80 = 180

20/100 X 180 = 36

selling price $36

Based on the abbreviations, translate the following ad into fully spelled-out sentences. The final sentence should state
how many rooms each house probably has, not counting bathrooms.
LOW CTM - 2 bdrm 1 ba. Qualifying Low monthly pymnts
555-834-3674 Norris Realty

Answers

Answer:

low cash to mortgage, two bedroom one bedroom. ​Qualifying Low monthly payments

555-834-3674 Norris Realty

A person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon. Find the weight of a person on Earth who would weigh 15 pounds of the moon

Answers

Answer:

93.75 pounds

Step-by-step explanation:

Set up a proportion where x is the weight of a person on Earth:

[tex]\frac{200}{32}[/tex] = [tex]\frac{x}{15}[/tex]

Cross multiply and solve for x

32x = 3000

x = 93.75

So, the person would weigh 93.75 pounds on Earth

On Earth, a person weighing 93.75 pounds would weigh around 15 pounds on the moon.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

If a person who weighs 200 pounds on Earth would weigh about 32 pounds on the moon, we can set up the following proportion to find the weight of a person on Earth who would weigh 15 pounds on the moon:

200 pounds : 32 pounds = x pounds : 15 pounds

200 pounds / 32 pounds = x pounds / 15 pounds

⇒ 200/32 = x/15

Apply the Cross-multiplication operation, we get:

⇒ 200 × 15 = 32 × x

Solving for x, we get:

⇒ x = (200 × 15) / 32

⇒ x = 3000/32

Apply the division operation

⇒ x = 93.75 pounds

Therefore, a person who weighs 93.75 pounds on Earth would weigh about 15 pounds on the moon.

Learn more about the proportion here:

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Can somebody help me with 17 and 18 please

Answers

17. (x^2-x+3)(4x+1)
18.(x+2)(x) - (7)(3)

A company made 1,215 yards of copper wire. They want to wrap the same amount of wire on each three poles. How many yards of wire will be on each pole?

Answers

Answer:

405 yards

Step-by-step explanation:

Given that,

A company made 1,215 yards of copper wire.

They want to wrap the same amount of wire on each three poles.

3 poles = 1,215 yards of copper wire

1 pole = 405 yards of copper wire

So, each pole will require 405 yards of copper wire.

WILL GIVE BRAINLIEST!!!

Answers

Answer:

a) -1

Step-by-step explanation:

your 3 options to solve that inequality are -7,-5, and -1.

-1 is the only one of those greater than -5

PLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASEPLZ HELP !!!! WILL MARK BRAINLIEST, THIS IS DUE IN 15 MINUTIES !!!ANYONE PLEASE

Josh was picking up fresh fruit at the Farmer’s Market Saturday morning. The grower’s offered two different combinations: three bananas (x) and five mangos (y) for $6.50 or seven bananas and four mangos for $7.50. Write a system of equations and determine how much it would cost for two mangos (2y) .

Answers

Answer:

3.75 per 2 mangos

Step-by-step explanation:

half of 4 mangos is 2 u need 2 so half of 7.50

Which set of numbers could represent the lengths of the sides of a right triangle?

10, 15, 20

6, 9, 11

9, 12, 16

7, 24, 25

Answers

Answer:

Last one

Step-by-step explanation:

Larji bought a dozen ears of corn. She prefers yellow corn, which costs 40 cents an ear, and her siblings prefer the peaches and cream variety, which costs 50 cents an ear. She buys a mixture of each type and pays $5.70. Which system of equations represents the number of ears of corn of each type that Larji purchased? X + y = 12. 0.40 x + 0.50 y = 5.70. X + y = 12. X + 0.50 y = 5.70. X + y = 5.70. 0.40 x + 0.50 y = 12. X + y = 5.70. 0.40 x + y = 12.

Answers

Answer:  x+y =12

0.40x+0.50y =5.70

Step-by-step explanation:

Let x = Number of ears of yellow corn

y - Number of ears of peaches and cream variety.

AS per given,

x+y = 1 dozen

⇒ x+y =12     [1 dozen =12]

Cost per ear of yellow corn = 40 cents = $0.40    [1 dollar = 100 cents, 1 cent = 0.01 dollar]

Cost per ear of peaches and cream variety = 50 cents = $ 0.50

Total cost ( in$): 0.40x+0.50y =5.70

Required system of equations represents the number of ears of corn of each type that Larji purchased:

x+y =12

0.40x+0.50y =5.70

Answer:

A

Step-by-step explanation:

on edge :)

find the missing side length
I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER

Answers

Answer:

Step-by-step explanation:

im sorry if this is wrong im trying to do it but is it ummmm b)

im prop wrong

Question 5
1 pts
A 5 1/2 pound ham will serve 11 people. How many people will a
10-pound ham
serve? Set up a proportion and solve.
I

Answers

Answer:

intake manifold gasket :)

Step-by-step explanation:

it's pretty obvious.

answer:20

step by step: 4 1/2 feeds 9 people so just add

What is -30+-30-30-30

Answers

Answer:

-120

Step-by-step explanation:

-30

but you have -30 -30 -30

what if we add it to make -90

then we have -30

same thing if you forgot to put + like

-30 + -30 + -30 + 30

still would be -120

A hotel has 480 rooms. Of these rooms, 4/5 are non-smoking. How many rooms are ... a. nonsmoking? b. smoking?

Answers

Answer: 384
There are 384 smoke free rooms.

X 0.5 = 0.35

what’s the blank ?


Answers

Answer:

If X is the blank thank it could be .7 * .5= .35 or .3+.5= .35

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