A string reaches from the top of a 17-foot pole to a point 13 feet from the base of the pole. To the nearest tenth of a foot, how long is the string?

Answers

Answer 1

Answer:

21.4 feets

Step-by-step explanation:

Using Pythagoras rule :

The length of the string:

Hypotenus = sqrt(opposite² + adjacent²)

Length of string = sqrt(17² + 13²)

Length = sqrt(289 + 169)

Length of string = sqrt(458)

Length of string = 21.400

Length = 21.4 feets


Related Questions

i really really need your help asap due today

Answers

Answer:

25

Step-by-step explanation:

The answer is 25
Vvvv

What is the measure of the missing angle?

Answers

Answer:

79 degrees

Step-by-step explanation:

You add the two angles and get 79. Then you subtract it from 180 because it is a straight angle. 180-101=79

Answer:

79

Step-by-step explanation:

28+73+x=180

a straight line is 180. That's how I got what it is equal to.

28+73= 101

101+x=180

subtract

180-101= 79

hope this helps!!

Solve the triangle in the figure.
Question options:

A)

BC = 9; m∠A = 53.1°; m∠B = 6.9°; m∠C = 90°

B)

BC = 11; m∠A = 42.8°; m∠B = 47.2°; m∠C = 90°

C)

BC = 19; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Answers

Answer:

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Step-by-step explanation:

15²-12² = 9²

BC = 9

sin B = 12/15 = 0.8

∠B = 53.1°

The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

The length BC will be calculated as below:-

15²-12² = 9²

BC = 9

The angle B will be calculated as below:-

sin B = 12/15 = 0.8

∠B = 53.1°

Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

(20,8),(9,16). Can u do a step by step

Answers

Answer: [20x, 8y] [9x, 16y]

Step-by-step explanation:

Go on x value 20 and go up to 8 on y value.

Go on x value 9 and go up 16 on y value.

Laura has a bag of markers. In the bag there are:

7 red markers
5 blue markers
3 yellow markers
She pulls markers from the bag one at a time without putting any back into the bag. What is the probability that the first marker she pulls is yellow and the second marker is red?

Answers

Answer:

3/14

7/13

Step-by-step explanation:

What is the graph of the solution set of b - 4 2 -1?

Answers

Answer:

the B graph

Step-by-step explanation:

write the equation of the line pictured in standard form

Answers

Answer:

x+2y=4

Step-by-step explanation:

y=-1/2x+2 multiply both sides by 2

2y=-1x+4

2y+x=4 or x+2y=4 standard form

Find the 25th term in the sequence:-2,5, 12, 19...

Answers

Answer:

166

Step-by-step explanation:

2x + 3x + 8 - 3x - 2

Answers

5x+14
You will collect the like terms

Which value of x results in equal outputs for

j(x) = 3x − 2
and b(x) = |x + 2|

Answers

Answer:

Step-by-step explanation:

J(x)=b(x)

3x-2=|x+2|

3x-2=±(x+2)

when 3x-2=x+2

3x-x=2+2

2x=4

x=4/2=2

when 3x-2=-(x+2)

3x-2=-x-2

4x=-2+2=0

x=0

it is rejected as 0-2≠|0+2|

or -2=2

so x=2

WILL MARK BRAINLIEST

Enter the values for the following composite transformation.

Translate
units left and _____ units down, then rotate _____°.

Answers

Answer:

down 6,right 4, rotate 180 degrees assuming we are starting from the blue heart.

Step-by-step explanation:

identify the common difference (d) /6,1,8,15

Answers

(6) -5 = (1 ) +7 =(8) + 7= (15)

Use the table to identify the values of p and q that should be used to factor x2
+9x-10 as (x+ p)(x+ q).
A. -2 and 5
B. 2 and=5
C. -1 and 10
D. 1 and 10

Answers

Answer:

-1 and 10

Step-by-step explanation:

I just took the quiz

Shellys square garden has an area of 81f ft^2 what is the length of the side

Answers

Answer:

9 ft

Step-by-step explanation:

Hopefully this helps! :)

Consider this expression. x-4/2(x+4)

Answers

Answer:

Option A

Step-by-step explanation:

We will simplify the expressions given in the options first,

x² - 16 = (x - 4)(x + 4)

2x + 8 = 2(x + 4)

x² + 8x + 16 = (x + 4)²

Option A

[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]

= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]

= [tex]\frac{x-4}{2(x+4)}[/tex]

Option B

[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]

= [tex]\frac{2}{x^2-16}[/tex]

Option C

[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]

= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{(x-4)(x+4)}{2}[/tex]

Option D

[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2(x+4)}{(x-4)}[/tex]

Therefore, Option A is the answer.

Help me with this!! Will mark Brainliest ❤️

Answers

Answer:

Yes

Step-by-step explanation:

Use log tables to find the value of 0.8176x13.64

Answers

Answer:

x=11.06

Step-by-step explanation:

A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3

Answers

Answer:

7/12 or 58%

Step-by-step explanation:

Answer:

17/100

Step-by-step explanation:

Please help with these 3 questions about simplifying square roots...

Answers

Answer:

#2:

To get rid of a radical we multiply the radical by itself, so we multiply [tex]\frac{3}{\sqrt{2}} by \frac{\sqrt{2}}{\sqrt{2}}[/tex]

to get [tex]\frac{3\sqrt{2}}{2}[/tex].

#3:

[tex]\sqrt\frac{2}{5}[/tex] is the same as [tex]\frac{\sqrt{2}}{\sqrt{5}}[/tex] so we multiply by [tex]\frac{\sqrt{5}}{\sqrt{5}}[/tex] so we get [tex]\frac{\sqrt{10}}{5}[/tex].

#4:

We combine like terms to get  [tex]-2\sqrt{2} + 4\sqrt{3}[/tex]

Hope this helps!

Write an algebraic expression for...

15 more than w

*An algebraic expression is a mathematical phrase that can contain numbers, variables (letters) and operations (+, -, x ÷)

Answers

the answer is w+ 15! hope this helps!

y=3/4ax+3, m=9/16
what does a equal? please explain. ​

Answers

(3/4)a=9/16
a=3/4

y=mx+b is the equation for the line, so compare and see that m=3/4a=9/16

a boat travels at a rate of 25 miles, m, per hour, h. which equation represents this scenario?
A) m=25h
B) m=12+h
C) m=12-h
D) m=h/12

Answers

The correct answer is A

AC = 12 in the image shown. Is BC tangent to circle A?
Α)
No, because 62 +92 = 122
B
Yes, because 62 +92 = 122.
No, because 62 +92 = 122
D)
Yes, because 62 +92 = 122

Answers

A) No, because 62 + 9 = 122

determine the measure of each angle. 4x - 90= ? Degree

Answers

The Answer is -360 or 22

Answer:

4x - 90= 90

Explain:

Simplifying

(4x + -90) = 90

Reorder the terms:

(-90 + 4x) = 90

Remove parenthesis around (-90 + 4x)

-90 + 4x = 90

Solving

-90 + 4x = 90

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '90' to each side of the equation.

-90 + 90 + 4x = 90 + 90

Combine like terms: -90 + 90 = 0

0 + 4x = 90 + 90

4x = 90 + 90

Combine like terms: 90 + 90 = 180

4x = 180

Divide each side by '4'.

x = 45

Simplifying

x = 45

Find what x is giving brainly.

Answers

The total of all angles of a heptagon is 900.
Therefore
x+125+119+117+145+133+140 = 900
x+779 =900
x= 900-779
x =121 degrees

2 percent of what number equals 1?

Answers

50 is the answer!!!!!!!!!

Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Which of these numbers is not larger than -2 on a number-line? 

(a) 0

(b) -1

(c) 5

(d) -3​

Answers

Answer:

D is correct.

0 is greater than -2.

-1 is greater than -2.

5 is greater than -2.

-3 is smaller than -2.

Hope this helps!

If you had a right triangle with legs measuring 40 yards and 100 yards long,
what would be the length of the hypotenuse? Round your answer to the
nearest yard if necessary. *
70 yd
92 yd
108 yd
146 yd

Answers

9514 1404 393

Answer:

  (c) 108 yd

Step-by-step explanation:

For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...

  c² = a² +b²

Solving for c, we have ...

  c = √(a² +b²)

  c = √(40² +100²) = √(1600 +10000) = √11600

  c ≈ 107.70 . . . . yards

The length of the hypotenuse is about 108 yards.

solve for x.
(9x+23)
x=​

Answers

Answer:

Step-by-step explanation:

9x2+23x

Anna went to the store to buy a new dress. The dress she chose was 30% off the original price. What was the original price of the dress that was marked down dollars 13.95?

Answers

Answer:

$46.5

Step-by-step explanation:

Let X be the original price.

0.3X=13.95, X=13.95/0.3, X=46.5.

Answer:

18.135

Step-by-step explanation:

13.95×30/100=4.185

13.95+4.185=18.135

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