BRAINLIEST AND 50 POINTS FOR THE ACTUAL RESPONSIBLE ANSWERS
Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two 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.
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 17 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)
Answers
Answer:
Part A: 2 * sqrt(65) ft, or about 16.12451549... ft
Part B: sqrt(93) ft, or about 9.64365076... ft
Step-by-step explanation:
Part A: A right triangle is formed, so we can use the Pythagoren theorem to solve for the length of rod PR. The Pythagoren theorem is a^2 + b^2 = c^2, with PR being c^2, and PQ and QR being a^2 and b^2 (interchangeably). So, we plug in the lengths and get the equation 14^2 + 8^2 = c^2. This is equal to 144 + 64 = c^2. Simplified, we have 208 = c^2. Getting the square root of both sides, we find that c is equal to approximately 16.12451549... feet.
Part B: Now we are solving for a side length rather than the hypotenuse. We can use the Pythagorean theorem here too. We have: a^2 + 14^2 = 17^2. We solve and get a^2 + 144 = 289. Simplified, a^2 = 145. The square root of 145 is approximately 9.64365076... feet, our answer.
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Related Questions
PROBLEM 2
What is the slope of the line whose equation has the following solutions?
Give an exact number.
Solution: x = -2.5 y = 0.5
Solution: x=2 y = 2
The slope is
Answers
Answer:
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(- 2.5, 0.5)
(2, 2)
m = [tex]\frac{0.5 - 2}{2 - (- 2.5)}[/tex] = - [tex]\frac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
Which of the following correctly represent the commutative property?
A. 8 - 7 + 5 = 7 - 8 + 5
B. (2 + 3) + 8 = 2 + (3 + 8)
C. 2 ÷ 4 = 4 ÷ 2
D. 8 × 5 × 4 = 5 × 8 × 4
Answers
Answer:
you stumped me.
Step-by-step explanation:
:/
Answer:
A. is the correct answer
Step-by-step explanation:
I believe don't quote me on this one
Point Q has coordinates of (x, y). Point
Q is rotated 90° clockwise to Point Q'.
What are the coordinates of Q'?
A (x,-y)
B (y, -x)
C (-x, -y)
D (-y, x)
Answers
For each figure answer the following questions
Answers
9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
__
b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
__
c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Destiny paid $6.60 for a dozen cupcakes for a birthday party. What is the unit cost for each cupcake?
Answers
Answer:
The unit cost for each cupcake is .55 or 55 cents
Step-by-step explanation:
6.60 divided by 12 is .55 so therefore, your answer is .55 have a great day hopes this helps :)
Find the range of the function for the domain {−3, 1, 4.5}.
y = −x + 1
A. {4, 2, −3.5}
B. {−2, 0, −5.5}
C. {−2, 2, −5.5}
D. {4, 0, −3.5}
Answers
Answer:
D. {4, 0, -3.5}
Step-by-step explanation:
domain (x) = {-3, 1, 4.5}
y= -x + 1
substituting domain/x-values into y= -x + 1
x= -3
y = -(-3) + 1
= 3+1
= 4
x= 1
y = -(1) + 1
= 0
x = 4.5
y = - (4.5) + 1
= -3.5
therefore, range ={4, 0, -3.5}
What type of triangle do the points A(1, 1), B(-2,5), C(3,-2) *
Answers
Answer:
ACUTE
Step-by-step explanation:
IXL V.6
Need answers
Answers
Answer:
4+-2=-2
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
4 X 2 = 8
8 +2 = 10
3 + 4 X 3-3 X 5
What is the answer
Answers
Remember the Rules of Operations (PEDMAS):
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
So with the expression 3 + 4 x 3 - 3 x 5 we know to multiply first. So let's multiply 4 x 3 and -3 x 5 first:
3 + 4 x 3 - 3 x 5
= 3 + 12 - 15
Then let's work out the rest of the expression!
3 + 12 - 15
= 15 - 15
= 0
Therefore we can determine that 3 + 4 x 3 - 3 x 5 = 0
I hope this helped! :)
If Cade shoots 318 free throw baskets in 4 hours, about how many can he shoot in 7 hours?
Answers
Answer:
556.5 baskets
Step-by-step explanation:
We can write a proportion to solve
318 baskets x baskets
----------------- = ----------------
4 hours 7 hours
Using cross products
318* 7 = 4 *x
2226 = 4x
Divide each side by 4
2226/4 = 4x/4
556.5 baskets
Answer:
556.5 baskets
Step-by-step explanation:
Write a proportion to solve
[tex]\frac{318}{4hours}[/tex] = [tex]\frac{x}{7 hours}[/tex]
Use the cross products
318 × 7 = 4 × [tex]x[/tex]
2226 = 4x
Divide both sides by 4
[tex]\frac{2226}{4x}[/tex] = [tex]\frac{4x}{4}[/tex]
556.5 baskets is your answer!
Find the slope(m) and y-intercept(b)
y=-x-4
Slope
| y-intercept
I need help asapppp!!
Answers
Y intercept is -4
this could help in the future:
y=mx+b
the m is the slope and the b is the y intercept
B=-4
You’re welcome
i neeed help plzzzzz!!!
Answers
Answer:
28
Step-by-step explanation:
Answer:
22°
Step-by-step explanation:
180-158=22
what is the slope that passes points (1,7) and (2,-4)
Answers
Answer:
m = -11Step-by-step explanation:
y=mx+b =D
Answer:
The slope is -11/1 which is -11.
Step-by-step explanation:
(Y2-Y1) / (X2-X1)
FREE BRAINLIEST!
How many times will you roll a number less than 4 on a number cube if you rolled it 250 times ?
Answers
Answer:
125 times brainliest please?
Step-by-step explanation:
What is the number of solutions to this system?
A) One solution
B) No solution
C) Infinitely many solutions
Answers
Please excuse my rudeness but, could you please help me
Answers
Answer:
sure
Step-by-step explanation:
The slope is 3 or 3/1.
The amount of money will always be counted as a y value. So, you can do 345 - 255, which is 90, over 120 - 90, which is 30. You will have 90/30, that will simplify to 3 or 3/1. Therefore, your slope is 3
While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds. It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?
Answers
Free Points Say What---------------------------------------------------------
??????????????????????????????
Answers
Answer:
Its B
Step-by-step explanation:
If log 5 = p and log 2 = q then log 200 can be written in terms of p and q as
(1) 4p+q
(3) 2(p+q)
2) 2p+39
(4) 3p+29
Answers
Answer:2p + 3q
Step-by-step explanation:
hope this helped!
The_______of a number is the distance between the number and zero on a number line
Answers
Answer:
The answer is absolute value.
Step-by-step explanation:
The distance between a number's place on the number line and is called the number's absolute value.The absolute value of a number is its distance from 0 on a number line
Colin invests £300 into his bank account.
He receives 5% per year compound interest.
How much will Colin have after 6 years?
Give your answer to the nearest penny where appropriate.
Answers
The temperature was 7° At 6pm by 8pm it was 0° what would be the temperature by 11pm
Answers
What is the solution to the equation - 4 = 6?
Answers
Answer:
10
Step-by-step explanation:
Because 6+4 is 10. When u do these look at the number u know and add them together to get the first number
A rope is 225 centimeters long you need the rope to be 1 1/2 meters long how many centimeters should you cut off
Answers
what is the greatest common factor of 20,30 and 55
Answers
Answer:
5
Step-by-step explanation:
5 is the GCF, because all 3 of those numbers can be divided by 5! Hope this helped!
From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5
For us to get the greatest common factor of 20, 30, and 55, we need to get their individual factor first as shown:
20 = 5 * 4
30 = 5 * 6
55 = 5 * 11
From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5
Learn more: brainly.com/question/219464
3. Which of the following is the value of x?
A. x = 30
B. * = 45
C. X = 69
42°
D. x = 75
8.
Answers
Answer:
is there a graph or equation or something?
Find the slope of a line that passes through (1,2) and (-1,2).
Answers
Answer:
0
Step-by-step explanation:
To find the slope of a line, you can use the formula:
slope = (y2-y1)/(x2-x1)
Using the two given points, we can find the slope:
slope = (y2-y1)/(x2-x1)
slope = (-1-1)/(2-2)
slope = 0
Help now if you dare!
Answers
Answer:
saturn
Step-by-step explanation:
ur anus
What is an equation of the line that passes through the points (−6,−2) and (6,8)
Answers
Answer:
y=5/6x+3
Step-by-step explanation:
Name all the different types of factoring. Explain, in words, how to do each one.
And then give an example for each. (You do not have to solve your example).
Answers
Ex: 6x^2+3x = 3x(2x+1)
2) The sum-product pattern. If the polynomial is of the form x^2+bx+c and there are factors of c that add up to b.
Ex: x^2+7x+12 = (x+3) (x+4)
3) The grouping method. If the polynomial is in the form ax^2+bx+c and there are factors of ac that add up to b.
Ex: 2x^2+7x+3 = (x+3) (2x+1)
If you want more methods, go to Khan academy and search up review of factorization methods.
I hope this helps!
