(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15
Answers
Answer:
Option (B)
Step-by-step explanation:
Length of PR = 4
RS = 4
QS = 4
For the length of PT,
PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]
PT² = QS² + PR² [Since, RT ≅ QS]
PT² = 4² + 7²
PT² = 16 + 49
PT² = 65
Now for the length of PQ,
PQ² = QT² + PT²
PQ² = RS² + PT² [Since, QT ≅ RS]
PQ² = 4² + 65
PQ² = 16 + 65
PQ = √81
PQ = 9
Therefore, length of diagonal PQ is 9 units.
Option (B) will be the answer.
Related Questions
A 40-foot wire is attached to a pole and runs to the ground as shown below.
The pole is 35 feet tall.
About how far away from the pole is the wire attached to the ground?
Answers
Answer:
5 feet away
Step-by-step explanation:
i am not sure but did mental math
Li deposited $17,500 into a bank account that earned simple interest each year. After 2 years, he had earned $2975 in interest.
No money was deposited into or withdrawn from the account.
What was the annual interest rate?
Enter your answer in the box.
Answers
Answer: 8.5%
Step-by-step explanation:
Formula : Simple interest = (Principal) x (annual interest rate) x (Time) (i)
Given: Principal : P = $ 17,500
Time : 2 years
Simple interest : I = $ 2975
Let r = annual
[tex]2975=17500\times(r)\times(2)[/tex]
[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]
Hence, The annual interest rate was 8.5%.
Sorry sort of forgot how to do this so can you guys help me solve and explain how you got your answer.
Find the difference
3/4 - 1/3 =
Answers
Answer:
5/12
Step-by-step explanation:
first find lcm of 3,4 the denominator to get 12
3/4-1/3
=5/12
Answer:
5/12
Step-by-step explanation:
you need to find the largest common multiple of the denominators which comes from just multiplying 4x3 which gets you 12.then you multiply the top number by whatever you had to multiply the bottom number by to get 12. from there its 9-4 which gets you five. 5/12 can not be simplified any further
9/12-4/12=5/12
Mike can run a mile in 12 minutes. He starts at 11:30 AM. and runs 4 miles. What time does Mike finish his run at?
Answers
Answer: Mike stops running at 12:18 PM
Step-by-step explanation: We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.
Answer:
12:18 P.M
Step-by-step explanation:
So the first thing I did was find out the amount of time it takes Mike to run 4 miles by multiplying 12 x 4 = 48
So Mike spends 48 minutes running the 4 miles.
Now we add 48 minutes to 11:30. So since there is no such thing as 11:78 I first subtracted the 30 minutes from the 48 minutes and added that to 11:30 which gave me 12:00 pm and then I just added the reamaining18 minutes.
which in conclusion means,
Mike will finish his 4 miles at 12:18 P.M
Convert the measurement.
56.8 grams= ounces
Answers
Answer:
2.003561 ounces or 2.0 rounded
Step-by-step explanation:
What is the slope of the line that passes through the points(-1,-7) and (-2,-5)?Write your answer in simplest form
Answers
Answer:
-2
Step-by-step explanation:
slope formula= (y2-y1)/(x2-x1)
(-1,-7) is (x1,y1)
(-2,-5) is (x2,y2)
Plug in numbers into slope equation
((-5)-(-7))/((-2)-(-1)) = 2/-1
Simplify
answer= -2
Your Welcome!
I NEED HELP NOW PLEASE
Which decimal represents the portion that is NOT shaded?
0.003
0.03
0.3
3.0
Write how u solved it
Answers
Answer:
0.3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.
0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.
0.03 is also known as 3 hundredths, meaning that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.
0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.
This leaves us with 3.0
12 points please help :(
Answers
rAnswer is B if im right
Matthew invested $2,000 in a compound interest account for 3 years. The interest rate was 5%. How much money would it be in the end of third year in Mattew's account?
Answers
Answer:
$2,315.25
Step-by-step explanation:
2000 x 0.05 = 100
2000 + 100 = 2100
After year one: 2100
2100 x 0.05 = 105
2100 + 105 = 2205
After year two: 2205
2205 x 0.05 = 110.25
2205 + 110.25 = 2315.25
After year three: 2315.25
What is the slope of the line that passes through the points (-2, 8)and (−22,8)? Write your answer in simplest form.
Answers
Answer:
0
Step-by-step explanation:
Horizontal/Vertical lines like this one always have a slope of 0 Because its just a straight line.
Feel free to mark as brainliest
lmk if im wrong
-22,-2 / 8 - 8
-20/0?
Find each amount:
3.8% of 25
Answers
Answer:
0.95
Step-by-step explanation:
3.8 % of 25 is equal to 0.95.
To find 3.8 % of 25, we can calculate it using the following formula : Amount = ( Percentage / 100 ) * Base.
In this case, the percentage is 3.8 and the base is 25.
Using the formula , we have : Amount = ( 3.8 / 100 ) * 25.
First, we divide 3.8 by 100, which gives us 0.038. Then, we multiply 0.038 by 25 to find the amount.
Calculating, we have : Amount = 0.038 * 25 = 0.95.
Therefore, The value of 3.8 % of 25 is equal to 0.95.
Learn more about percentage here
https://brainly.com/question/1214133
#SPJ6
I know I haven't been on this app for a long time but can ya'll help me plzz
Answers
Answer:
2774
Step-by-step explanation:
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent?
The cost of one bag of peanuts
The cost of zero bags of peanuts
The cost of two bags of peanuts
The cost of three bags of peanuts
Answers
Answer:
Maybe three bags of peanuts? I'm not sure because I was looking for an answer not trying to answer the same question I've been stuck on for ages-
WAIT IT IS THREE-
graph and find the coordinates
Answers
Answer:
a' (4,3)
b' (2,-3)
c' (-1,0)
to graph the triangles, you plot the points an then connect them to form a triangle. you have to plot triangle ABC and then triangle A'B'C'
Step-by-step explanation:
The points (2,3) and (6,11) lie on a line.What is the slope of the line?
Answers
Answer: the slope is 2!
Step-by-step explanation:
Answer:
slope: 2
Step-by-step explanation:
use this formula: 11- 3/6-2 = 2
Jonathan is driving to his grandma’s house. Jonathan’s car is going 75 mph and he has to go 340 miles still. Brighton, Jonathan’s cousin, is leaving his house and is traveling 70 mph and has to 320 miles. Who gets to grandma’ house first? How much faster do they get there?
Answers
Answer:
Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.
Step-by-step explanation:
340/75=4.53
320/70=4.57
What is true when a system of equations has infinitely many solutions?
A:This is impossible.
B:The lines coincide (are the same line).
C:The lines intersect in one place.
D:The lines are parallel and do not intersect.
Answers
NEED HELP ASAP!! THIS IS DUE UNDER 10 MIN! GIVING BRAINLEST (My Brainlest is giving 100 extra points)
Bud is disappointed when he goes to the mission because...
A The line is closed when he gets there.
B They don't serve children.
C He went to the wrong one.
D He didn't like what they were serving.
Answers
Answer:A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If f(x) = 7(x - 1) + 8, find the value of f(1)
answer fast.
Answers
Answer:
7x+1
Step-by-step explanation:
Use the distributive property to multiply 7 by x−1.
7x−7+8
Add −7 and 8 to get 1.
7x+1
ming took a cab across town. His fare was $22, and he leaves a 18% tip. What is the total amount Ming pays to the cab driver?
Answers
Answer:
25.96
Step-by-step explanation:
18% of 22 is 3.96
3.96+22=25.96
marking brainliest to whoever gives me the right andwe
Answers
x = 9
What are the domain and range of each relation?
Drag the answer into the box to match each relation
Answers
Answer:
For the mapping diagram, drag the first answer choice and drop.
For the table one, drag the second answer choice and drop.
Step-by-step explanation:
Please help me out!
Answers
Answer:
c
Step-by-step explanation:
help plz 60 points plz help me plz
Answers
Answer:
no
Step-by-step explanation:
you did this to someone else so ill do it to you XD karma
Joey has 40 chocolate bars. He gave 30 away. How many does he have?
Answers
40-30=10
Have a nice day/night!!!
Answer:
10....... and friends with diabetes
Step-by-step explanation:
Evaluate 50 + 5/13p when p= -26
Answers
Answer: it’s 40
hope this helps :)
Step-by-step explanation:
Just substitute the variable with the number and use pemdas.
First you have to multiply 5/13 by -26, then add 50 to what you get.
a sheet of glass has a density of 2.5 g/cm3
what is the density of the glass in? kg/m3
PLEASE HELP!!!!!!!!
Answers
A. 9x+8
B. 18x
C. 18x+16
D. 9x
Answers
Answer:
A. THERERREREEHUGGG HHHU
Step-by-step explanation:
Length = 5x +4
Breadth = 4x-4
Perimeter = 2(L+B)
Perimeter :
[tex]2(5x + 4 + (4x - 4)) \\ 2(5x + 4 + 4x - 4) \\ 2(5x + 4x + 4 - 4) \\ 2(9x) = 2 \times 9x[/tex]
[tex] = 18x[/tex]
Survi purchased 2 balls for 20.34, 8 pencils for Rs. 24.08, and a copy for Rs.5.08. She gave an Rs.50 note to the shopkeeper and asked him to keep the change. What amount did the shopkeeper keep? *
Answers
Add the total of the 3 things bought and subtract from what they gave the cashier:
20.34 + 24.08 + 5.08 = 49.50 total
50 - 49.50 = 0.50
The shopkeeper kept 0.50
Are the two given triangles similar? Show your work to support your answer.
Helpppp please