A wire extends from the top of a building to the ground, 90 feet away from the building. The wire creates an angle of
elevation of 22 degrees with the ground. How long is the wire, to the nearest foot?
36 ft
97 ft
223 ft
90 ft

Answers

Answer 1

Answer:

The correct option is 97 ft.

Step-by-step explanation:

It is given that the wire is 90 feet away from the building.

The required figure is shown below:

Let the length of the wire is AC.

Here, the base is 90 feet and we need to find the value of AC.

[tex]\cos \theta=\frac{\text{Adj}}{\text{Hyp}}[/tex]

[tex]\cos 22^{\circ} = \frac{BC}{AC}[/tex]

[tex]0.927\approx \frac{90}{AC}[/tex]

[tex]AC\approx 97\text{ ft}[/tex] (nearest foot)

Hence, the correct option is 97 ft.

A Wire Extends From The Top Of A Building To The Ground, 90 Feet Away From The Building. The Wire Creates

Related Questions

P Josh wants to determine the number of loaves of bread he can bake using the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?
3 loaves of bread
4 loaves of bread
50 loaves of bread
51 loaves of bread

Answers

Answer:

the 13 and one-third cups of flour he has. If each loaf requires 3 and four-fifths cups of flour, how many loaves can Josh bake?

3 loaves of bread

4 loaves of bread

50 loaves of bread

51 loaves of bread

Step-by-step explanation:

The shortest distance between any two points is a straight line.

a. True
b. False

Answers

Answer:

True

Step-by-step explanation:

The answer to this question is true.

It is worthy to note that in any two points, we have exactly one line segment that connects them together. Now the The distance that lies between both of these points is the length of this line segment which connects them. Also this distance is never negative. It is always positive.

Archimedes was the first to say that the shortest distance between two points is a straight line.

Solve the Equation. 14x+28=14

Answers

Answer:

x= -1

Step-by-step explanation:

1. First, you need to combine like terms. Constants with constants and variables with variables. Since there is only one variable, there is nothing to combine it with so nothing happens to it. The constants, on the other hand, can combine.

2. You have to subtract 28 from 28 and 14 so that +28 can cancel out on the left side and combine on the right.

3. That will leave you with 14x= -14.

4. Now you need to get x on its own so you need to divide 14 (opposite of multiplication to cancel out) on both sides.

5. That will leave you with x= -1. That is your final answer.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Drag the tiles to the correct boxes to complete the pairs.
Match the events described to the likelihood of their occurrence.

Answers

Answer:

I hope this helps

Step-by-step explanation:

How many kilometers are in 145,500 cm?

Enter your answer as a decimal in the box. Do not round your answer.

145,500 cm =
kmHow many kilometers are in 145,500 cm?

Enter your answer as a decimal in the box. Do not round your answer.

145,500 cm =
km

Answers

Answer:

1.45500

Step-by-step explanation:

(15 Points) Hey yall. Can you please help me with this problem?

Answers

Answer:

y [tex]\geq[/tex] 3x + 3

y < -x - 2

Step-by-step explanation:

For the first one, you can see that the slope is 3 and the y-intercept is 3, so the equation of the line would be y = 3x + 3. Then, since the shaded area is above the line it would be greater than and since the line isn't dashed it is greater than or equal to.

The completed equation is y [tex]\geq[/tex] 3x + 3

For the second one, you can see that the slope is -1 and the y intercept is -2, so the equation of the line would be y = -x - 2. Then, since the shaded area is below the line and the line is dashed, the completed equation is y < -x -2

Use the Distributive Property to write an equivalent expression.
5 (9+6r) Please hurry! Thank you! :)

Answers

Answer:

45+30r

Step-by-step explanation:

Answer:45+30r

Step-by-step explanation:

Because first you multiply 5x9 that gets you 45 then you multiply 5 again with 6 that gets you 30 but don’t forget the r hope this helped!

One number is six more than a second number. four times the first is 10 less than 6 times the second. Find the numbers.

I need this solves asap.

Answers

[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]

One number is six more than a second number. four times the first is 10 less than 6 times the second.⠀⠀⠀⠀

[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]

Find the two numbers.⠀

[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]

⠀⠀⠀⠀

In questions given,One number is six more than a second number.

if second number is a

first number is a+6.

and,

four times the first is 10 less than 6 times the second.

So,

4×(a+6)=6a-10

we have to solve this.

[tex]\bold{4\times (a+6)=6a-10   }[/tex] 

[tex]\bold{4a+24=6a-10   }[/tex] 

[tex]\bold{6a-4a=24+10   }[/tex] 

[tex]\bold{2a=34   }[/tex] 

[tex]\bold{ a=\dfrac{34}{2}  }[/tex] 

[tex]\bold{ a=17  }[/tex] 

we,get our second number =a=17.

So,

first number =a+6=17+6=23

3. Find the slope and the y-intercept of the graph of the linear equation.
y = 2x + 9
A) slope: 9; y-intercept: 2
B) slope: 5; y-intercept: 2
C) slope: 3; y-intercept: 9
D) slope: 2; y-intercept: 9

Answers

slope is 2 and y-intercept is 9

3
Which two equations represent the following statement?
28 is 12 less than k.
A
28 = K - 12
B
<
28 = 12 +K
с
K-12 = 28
D28 - k = 12

Answers

i think it might be A and C
A and C is the answer

Help plzz! True or False?
-15 is a solution for -8x = 125

Answers

Answer:

false, it doesn't equal 125

Pls helppp it is due today

Answers

Rate of change: rise/run = 2/4 = 1/2
Y intercept: when x = 0, (0,y)
Y intercept is (0,1) - aka 1

Solution: A

URGENT ONLY ALLOW RIGHT ANSWER

Answers

Answer:

The X intercepts are (-7,0) and (-3,0)

A rectangle is 30 inches long. The diagonal is 50 inches how wide is the rectangle?

Answers

The answer is 1,500. You have to multiply 30 and 50.

Answer:

40

Step-by-step explanation: A rectangle is  a quadralaterial with 4 90 degree angles made up of two diagonals. If we draw one diagonal, it would split the rectangles into two right triangles. Since a rectangle has a right angle, we can use pythagorean theorem to solve the missing side.              

[tex]a^{2} +b^{2} =c^{2}[/tex]   where a and b are the length and widith  and c is the diagonal length. Let plug it in

[tex]30^{2} +b^{2} =50^{2}[/tex]

900+[tex]b^{2}[/tex]=2500

[tex]b^{2} =1600[/tex]

[tex]\sqrt{1600 =[/tex]40

b=40

If CN = 8 centimeters, find DN help please

Answers

DN=CN=8cm if N is a centre.since radii are equal in circle.

Can I get help on C plz

Answers

Answer:

the answer would be 6...

solve 2x-15≤5 please help

Answers

Answer:

x≤10

Step-by-step explanation:

2x-15≤5

+15 (both sides)

2x≤20

divided by 2 (both sides)

x≤10

Answer:

x ≤ 10

Step-by-step explanation:

2x-15≤5

    +15≤+15

---------------------

2x ≤ 20

2x ≤  2x

--------------------

x ≤ 10

Find the slope of the line that contains (3,6) and (6, 9).

Answers

Answer:

1

Step-by-step explanation:

Use the formula: y2 - y1/x2 - x1

9 - 6 = 3

6 - 3 = 3

Slope = 1

A wreck occurred on an interstate Highway that caused a traffic jam 1 mile long. The average car is 14 feet long and cars make up 70% of the Traffic Jam. The average Pickup Truck is 20 feet long and is 20% of the traffic jam. The average tractor Trailer is 75 feet long and makes up 10% of the traffic jam. If there are 3 feet between each vehicle, how many vehicles are in the traffic jam?
A) 27 vehicles
B) 270 vehicles
C) 2700 vehicles
D) 27,000 vehicles

Answers

Answer:

B

Step-by-step explanation:

b)270

B
Step-by-step explanation:
b)270

from the table shown

a) Describe in words the pattern relationship

b) Write a rule to describe the pattern shown.

c) If the table had an input of 7, what would be the output?

d) If the table had an output of 31, what would be the input?

Answers

Answer:

c

Step-by-step explanation:

solve quadratic inequality x^2+4x≥0

Answers

Answer:

Step-by-step explanation:

y = x² + 4x is an up-opening parabola with x-intercepts 0 and -4.

y ≥ 0 when x≤-4 or x≥0

range: (-∞,-4)∪[0,+∞)

JELP HELP HELP HELP
HELP HELP HELP
5TH GRADE
HELP

Answers

Answer: A 729

Step-by-step explanation:

What is the length of the missing side, x?
*I would really appreciate the help.*

Answers

Answer:

x/40=49/35

49×40=x×35

x=(49×40)÷35

x=56

what theorem can be used to prove the 2 triangles similar?

Answers

Answer:

C. SSS

Step-by-step explanation:

[tex] \frac{AB}{SQ} = \frac{AC}{SR} = \frac{BC}{QR} = 2 [/tex]

Thus, the ratio of the corresponding side lengths of both triangles are equal. This implies that all three corresponding side lengths of both triangles are proportional to each other.

Consequently, based on the SSS Criterion, we can conclude that both triangles are similar to each other.

Simplify the expression -2.4f+0.9f-11-9

Answers

Answer:

-1.5f - 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-2.4f + 0.9f - 11 - 9

Step 2: Simplify

Combine like terms (f):                    -1.5f - 11 - 9Combine like terms (Z):                   -1.5f - 20

Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1.
Need this quick please!

Answers

Answer:

9x^2+9xh+3h^2

Step-by-step explanation:

The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f ( x ) = x 2 , [ 2 , 3 ]

I will mark brainalist plzzz

Answers

the answer is 3
it is making me type more but it is 3
The answer is 3 . hope it helped

-6 1/3 -6.375 which one is greater

Answers

Answer:

-6 1/3 is greater

Step-by-step explanation:

-6 1/3 = -6.3333333333

-6.375 = -6.375

Step-by-step explanation:

-6 1/3=-20.3333..

-6.375

So -6.375 is greater than -6 1/3

hope it helps you

have a nice day

Determine the sum of all single-digit replacements for n such that the number 42,789,n37 is divisible by 3.

Answers

42,789,n37 is divisible by 3 if the sum of the digits is divisible by 3.
Sum of all digits except n = 40
n=2, 5, or 8

ill give brainlyest please help me​

Answers

Answer:5

Step-by-step explanation: trust

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PLS help due in 20 mins 60 PTS PLSRead these paragraphs and answer the question that follows:In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in people's lives and learned some important life lessons in the process. Organizations, including schools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves.Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a variety of vegetables. The garden requires regular care. The teens donate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, the teens are actively helping make life a bit better for others in their community.Service is valuable in ways that cannot be measured in dollars. 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