A 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer:

27.89feet

Step-by-step explanation:

Given the following

Length of the ladder = 32foot = hypotenuse

Angle of elevation = 29.37°

Required

Distance of the building from the base of the ladder (adjacent)

Using the SOH CAH TOA identity

Cos theta = adj/hyp

Cos 29.37° = d/32

d = 32cos29.37°

d = 32(0.8715)

d = 27.89 feet

Hence the required distance is 27.89feet

Answer 2

Answer:

27.89 feet

Step-by-step explanation:

Hope this helps :)


Related Questions

The heights (in inches) of males in the United States are believed to be Normally distributed with mean LaTeX: \muμ. The average height of a random sample of twenty-five American adult males is found to be H = 69.72 inches and the standard deviation of the twenty-five heights is found to be s = 4.15. The standard error of H is = 4.15. A 90% confidence interval for ? is?

Answers

Spread the day leave come on man

Please help!!

Which expressions are equivalent to 64 Superscript 1? Check all that apply.

A) 4 cubed

B) 3 Superscript 4

C) 8 squared

D) 2 Superscript 8

E) 6 squared

F) 2 Superscript 6

Answers

Answer:

I believe it would be C, 8 squared.

Step-by-step explanation:

8 squared means to multiply 8 twice. Not by two, 8 times 8. If you do that, you will get 64. This means that 8 squared is equivalent to 64'1

Answer:

C

Step-by-step explanation:

8. Sheila and her study partner flipped a coin 120 times. They flipped 70 heads and 50 tails. What is the
experimental probability that the next flip will be heads up?
F 58%
58%
G 50%
H 41%
J 70%

Answers

Answer:

.

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

To find the amount of percent a value takes up, here's the formula:

Let X = heads

Let y = amount of coinflips

Let z = percent of coinflips are heads

z=x/y

PLEASE 100 POINTS Write the polynomial in factored form and explain how you did it.

Answers

Answer: f(x)=(x-5)(x+5)(x+2)

Points given: (5,0),(-5,0),(-2,0)
To get the factors do x- the roots above:
Solve for x:
X+5=0 X=-5
X-5=0 X=5
X-2=0 X=2
Now we have (x-5),(x+5),(x+2)
Another point that seems to be given is (3,-80)
F(3)=-80= a(3-5)(3+5)(3+2)
-80=a(-2)(8)(5)
-80=a(-80) (Solve for a)
-80/-80=a(-80)/-80
1=a
F(x)=1(x-5)(x+5)(x+2)

PLEASE PLEASE HELP!! ITS DUE TODAY!!

10.
Find the approximate area of the lake whose shape is overlaid on the grid below. Each
square of the grid represents one square mile. (3 points)

Answers

Answer:

7.5 square miles

Step-by-step explanation:

Begin by counting the number of squares that the lake completely or almost completely covers. There are six of these, as indicated by an X. Then find the squares which are about half covered by the lake. These are indicated by a Y. There are three of these. The remainder of the squares that contain some portion of the lake are less than half covered, so we will not count them.

Irregular Object

1 square = 1 sq. mile

Each X counts as one square mile, and each Y counts as 0.5 (12) of a square mile.

(6 × 1) + (3 × 0.5) = 6 + 1.5 = 7.5

The area of the lake is about 7.5 square miles.

The approximate area of the lake whose shape is overlaid on the grid below is 7.5 square miles

Begin by counting the number of squares that the lake completely or almost completely covers. There are six of these, as indicated by an X. Then find the squares which are about half covered by the lake. These are indicated by a Y.

There are three of these. The remainder of the squares that contain some portion of the lake are less than half covered, so we will not count them.

Irregular Object

1 square = 1 sq. mile

Each X counts as one square mile, and each Y counts as 0.5 (12) of a square mile.

(6 × 1) + (3 × 0.5) = 6 + 1.5 = 7.5

The area of the lake is about 7.5 square miles.

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Number 10 please help 10 points no links pleAse

Answers

Answer:

A. (8,14)

Step-by-step explanation:

When looking at the chart pairs there is no other matching option than (8,14).

You have to look in at each column to see the pairs (ex. 8,16 and 4,10).

The answer would be (8,14)

a business owner pays $500 a week for rent.He also pays an employee $16 an hour.If his total weekly expenses are $1,172 ,how many hours did his employee work?​

Answers

42 hours

EXPLANATION:

To find the answer, we should start with the total and get rid of the amounts that we know.

So we know the total is 1,172 in a week, and that 500 dollars of it is for rent.

1,172 - 500 =672.

Now we have 672 left.

We know that it was all spent on employees.

we know it is $16 for each hour.

672 divided by 16 is 42 total hours.

Hope this helps!

What is the equivalent exponential expression for the radical expression below help last time

Answers

Answer:

A

Step-by-step explanation:

B is wrong because 5^2 = 25

C is wrong because 5 is not equal to √5

D is wrong because 25 is not √5 but 5^2

Ralph and Jody go to the shop to buy potato chips and candy bars.

Ralph buys 3 bags of potato chips and 4 candy bars. He spends

Jody buys 4 bags of potato chips and 2 candy bars. She spends $3.00.

Later Clancy joins Ralph and Jody and asks to buy one bag of potato chips and one candy bar from

them. They need to work out how much he should pay.

Ralph writes

3p+ 4b = 375

1. If p stands for the cost, in cents, of a bag of potato chips and b stands for the cost, in cents, of a

candy bar, what does the 375 in Ralph's equation mean?

Answers

Answer:

375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars

Bag of potato = 45 cent

Candy = 60 cents

Step-by-step explanation:

375 represents the amount Ralph paid for 3 bags of potato and 4 candy bars

3p + 4b = 375 - - (1)

4p + 2b = 300 ---(2)

From (2)

4p = 300 - 2b

p = 75 - 0.5b

Put b = 75 - 0.5b

3(75 - 0.5b) + 4b = 375

225 - 1.5b + 4b = 375

225 + 2.5b = 375

2.5b = 375 - 225

2.5b = 150

b = 150 / 2.5

b = 60

3p + 4(60) = 375

3p + 240 = 375

3p = 375 - 240

3p = 135

p = 45

Bag of potato = 45 cent

Candy = 60 cents

A cube has a volume of 27 mm. What is the length of each edge of the cube? Plz help

Answers

Answer:

The length of each edge of the cube is 3 mm

Step-by-step explanation:

A cube has a volume of 27 mm.

Volume of cube = l³

l³ = 27 mm

l = 3 mm

Thus, The length of each edge of the cube is 3 mm

-TheUnknownScientist

hi someone fill out this chart pls. will give brainly if u do it correctly

Answers

Answer:

1 → 10

2 → 1000

3 → 16

4 → 64

5 → 6

6 → 36

7 → 7

8 → 343

Plzzzz help worth 30 points plzzzz help

Answers

Answer:

$0.70

Step-by-step explanation:

What type of algebraic questions is 2x+5

A- Linear equation
B- Quadratic equation
C- Cubic equation
D- None of these​

Answers

Answer:

Linear equation

Step-by-step explanation:

Linear equation are first-order polynomials, this kind of expressions has the general form:

y = mx + b

Where m is the slope and b the y-intercept.

The given equation y = 2x + 5, has the form of a linear equation, whose slope equals 2 and intercept equals 5.

Answer:

A

Step-by-step explanation:

250 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 250 students, 100 plan to major in mathematics, 80 plan to major in computer science and 20 plan to pursue a double major in mathematics and computer science.

Let M be the even that a randomly selected student plans to major in mathematics and C be the event that a randomly selected student plans to major in computer science.

What is P(M), the probability that a student plans to major in mathematics?
What is P(C), the probability that a student plans to major in computer science?
What is P(M and C), the probability that a student decided to major in mathematics and computer science?
What is P(M or C), the probability that a student has chosen to major in mathematics or computer science?

Answers

Answer: Program C allows students to earn a Mathematics degree (B.A. or B.S.) by combining courses in the Department of Mathematics with courses from one other department.  In most areas of specializations, mathematical and/or quantitative courses in other departments are part of the math degree program.  All Program C students take a minimum of five core math courses:  Calculus I, Calculus II, Calculus III, Introduction to Linear Algebra, and a proofs course, usually either Introduction to Abstract Algebra or Fundamental Properties of Spaces and Functions I.

Step-by-step explanation: Hope this helps.

Answer:

2/5

8/25

2/25

16/25

Step-by-step explanation:

On the coordinate plane, mark all points (x,y) such that (A) y=x+3, (B) y=-x+3, (C) y=|x|+3

Answers

Answer:

the coordinates of A is:  (0,3) the coordinates of B is: (1,2) the coordinates of C is:

Step-by-step explanation:

The graphs of the 3 given functions can be seen in the image attached below.

How to graph the given points?

To graph all the points (x, y) in a relation:

y = f(x)

Is equivalent to graphing the function.

In this case, we just want to graph the 3 lines:

y = x + 3

y = -x + 3

y = |x| + 3

To graph the first two, we need to find two points on the functions and then connect them with a line.

For the third function we just need to move 3 units up the parent absolute value function.

The 3 graphs can be seen below. (the third function lies on top of the first two, so it is hard to see).

If you want to learn more bout graphing:

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What fraction is equivalent to 75% of 1/3

Answers

Answer:

1/4

Step-by-step explanation:

HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE​

Answers

Answer:

E = (-3a, -2b)

O = (3a, 2b)

M = (3a, -2b)

Step-by-step explanation:

Write the equation in standard form for a circle that has a diameter with endpoints (8,0) and (-8,0)

Answers

Answer:

x²+y² = 64

Step-by-step explanation:

The standard form of writing the equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the centre of the circle

r is the radius of the circle

Given the diameter of the circle with endpoints (8,0) and (-8, 0)

d = √(x2-x1)²+(y2-y1)²

d = √(-8-8)²+(0-0)²

d = √(-16)²

d = √256

d = 16

radius r = 16/2

r = 8

The centre of the circle will be the midpoint of the coordinates

M = (8-8/2, 0+0/2)

M = (0/2, 0/2)

M = (0,0)

Hence the centre is at (0,0)

Get the required equation

Recall that (x-a)²+(y-b)² = r²

Substitute the centre and the radius

(x-0)²+(y-0)² = 8²

x²+y² = 64

This gives the required equation

9. Zane owes his dad money for his cell phone that he
lost. So far, Zane has paid his dad $23, and he will pay
his dad an additional $45 each month until he has
repaid him for the phone. Which equation shows the
relationship between m, the number of months that
Zane has been making payments and t, the total
amount he has paid his dad?

Answers

Answer:

T=45m+23

Step-by-step explanation:

Answer:

T=45m+23

Step-by-step explanation:

Given a set of data that is skewed right, there is at least ___% of the data within three standard deviations.

Answers

Answer:

75%

Step-by-step explanation:

The right skewed data set means the data mostly lies in the right tail. There is majority of data present in the right tail of the data set. The mean, median and mod all are different for the rightly skewed data set.

What is the volume of the prism below?
A. 56 units 3
B. 144 units
C. 288 units
D. 180 units

Answers

Answer:

C ,288

Step-by-step explanation:

hope this helps

maggie needs to make 6 tablecloth's she uses 3 3/5 yards of fabric for each tablecloth which is the shortest roll that will have enough fabric to make all the tablecloths

Answers

Answer:

21 3/5

Step-by-step explanation:

I think the answer is 21 3/5 because

6×3 3/5=21 3/5 but I'm not positive.

use the graph f(x)=-x^2+8x+20 to determine the values of m for which m= -x^2+8x+m=0 will have two positive roots​

Answers

Answer:

first root -2 and the second is 10

Step-by-step explanation:

delta=b squared-4ac=64-4(-1)(20)=144>0

then we have 2 +roots

x1= -b+ radical delta/2a =-2

x2=-b - radical delta/2a=10

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

What is a polynomial?

A polynomial is an expression that involves the addition, subtraction and multiplication of variables.

A quadratic polynomial is a polynomial of degree 2.

Given that:

f(x)=-x² + 8x + 20

To determine the values of m for which -x² +8x+m=0 would have two positive roots​

For -x² +8x+m=0 to have two positive roots, m ≤ 0.

The value of m for which -x² +8x+m=0 to have two positive roots is m ≤ 0.

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PLEASE!!! I need this turned in tonightttt

Answers

Answer:

8 like I'm trying maybe I'll be good at math someday

Step-by-step explanation:

hehe

Write an equation and solve. If hamburgers cost $4 each, how many can you buy with $12? a. 4x = 12; 3 hamburgers c. 12x = 4; 3 hamburgers b. 12 - 4x = 8; 8 hamburgers d. 4x - 12 = 8; 5 hamburgers Please select the best answer from the choices provided A B C D

Answers

E. You’re a BUUUUMMMMMMM

2 1/2 + 2 1/3 + 3 2/3

Answers

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

Naomi used 2/3 gallon of gas to drive 15^1/5 miles.At this rate how many miles can naomi car travel per gallon

Answers

Answer:

22 4/5 miles

Step-by-step explanation:

miles per gallon = total miles / total gallons used

[tex]15\frac{1}{5}[/tex] ÷[tex]\frac{2}{3}[/tex]

convert the mixed fraction to an improper fraction

[tex]\frac{76}{5}[/tex] × [tex]\frac{3}{2}[/tex] = [tex]\frac{114}{5}[/tex] = 22 4/5 miles

True or False
Is 2-1 = 21 ?

Answers

Answer:

false

Step-by-step explanation:

False.................

How many yards are equal to 144 inches? (15 points)

Select one:
a. 4 yards
b. 12 yards
c. 36 yards
d. 5,184 yards

Answers

Answer:

A- 4 yards

Step-by-step explanation:

Hope this helps!

Have a nice day <3

After changing the unit of 144 inches into yards the number equivalent to 144 inches is 4 yards. Hence option (a) is true.

Given that,

Change the number 144 inches into yards.

Used the concept of measurement unit which stated that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

Since we know that,

1 yards = 36 inches

1 inch = 1/36 yards

So, we can change the number 144 inches into yards,

1 inch = 1/36 yards

144 inches = 144/36 yards

= 4 yards

Therefore, 144 inches is equivalent to 4 inches.

Option (a) is true.

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George bought a rose bush at retail for $24. The wholesale price was $15. What was the markup?

Answers

Answer:

60%

Step-by-step explanation:

multiply 15 and 60%

Have a nice day!

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