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-Dominant- [34]
3 years ago
8

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting t

wo slanting rods, one of which, labeled PR, is shown:
A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 9 feet..

Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

Part B: The length of rod PR is adjusted to 18 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)
Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer:

Triangle PQR is a right triangle therefore you can use the pythagorean theorem to find the length of PR which is the same as the hypothenuse

Step-by-step explanation:

Theorem:

(QP)² + (QR)² = (PR)²

(6)² + (14)² = 232 ⇒  (PR)² = 232  then PR = √232 = 15.23

If PR is adjusted to 16 feet then we use the Pythagorean theorem again to find the height QR

(QR)² + (14)² = (16)²

(QR)² = 256 - 196 = 60 ⇒ QR = √60 = 7.75.

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Find the solutions to the equation below. check all that apply
BartSMP [9]

Answer:

A and E

Step-by-step explanation:

Given

20x² - 26x + 8 = 0 ( divide through by 2 )

10x² - 13x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 10 × 4 = 40 and sum = - 13

The factors are - 5 and - 8

Use these factors to split the x- term

10x² - 5x - 8x + 4 = 0 ( factor the first/second and third/fourth terms )

5x(2x - 1) - 4(2x - 1) = 0 ← factor out (2x - 1) from each term

(2x - 1)(5x - 4) = 0

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = \frac{1}{2} → E

5x - 4 = 0 ⇒ 5x = 4 ⇒ x = \frac{4}{5} → A

6 0
3 years ago
What is 30+10x=100 how to solve
Georgia [21]
X=7 
100-30=70 
70/10
x=7
hope this helps 
4 0
3 years ago
Read 2 more answers
Pls help asapp picture attached
Olin [163]

Answer:

50

Step-by-step explanation:

Angle 1 is 110.

Angle 3 is 2x plus 10.

Angle 1 and 3 are vertically opposite angles.

And vertically opposite angles r equal.

Which means, angle 1=angle 3,and angle 2=angke 4.

Here we only Need angle 2 and 3.

Angke 2= angle 3.

Which is 2x plus 10=110.

Therefore 2x=110-10=100

Therefore x = 100÷2=50

There u have it ma'am.

3 0
3 years ago
Read 2 more answers
Help pls 11 point Ayuda
aleksandrvk [35]
Well according to the slope intercept equation.

Y = mx +/- b

The slope is the value m
The y intercept is b

To graph the function, one sure way to do it is simply make a table of values picking any x values that fall within the graph space, and finding out the resulting y values and using the points to graph.

For instance for the first graph, if x = 0, y = 5, that is one possible point. Keep on choosing x values to graph.






5 0
3 years ago
Which of the following numbers is a Mersenne prime?<br> A: 90<br> B: 27 - 1<br> C: 211 - 1<br> D: 15
My name is Ann [436]

Answer:

  B:  2⁷-1 = 127

Step-by-step explanation:

A Mersenne prime is a prime of the form 2^n -1, where n is also a prime.

Among the answer choices, neither 90=2·3²·5 nor 15=3·5 is prime. Both 2⁷-1 = 127 and 2¹¹-1 = 2047 are of the right form, but 2047 = 23·89 is a composite number.

  2⁷-1 = 127 is a Mersenne prime

3 0
3 years ago
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