in figure 5.19 to the right PQRS is a rectangle. if PS=5cm and PR=13cm find SR and QS.
Answers
Given:
PQRS is a rectangle.
[tex]PS=5\ cm,\ PR=13\ cm[/tex]
To find:
The length of SR and QS.
Solution:
We know that, all interior angles of a rectangle are right angle. So, [tex]\angle S=90^\circ[/tex].
According to the Pythagoras theorem, in a right angle triangle,
[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]
Using Pythagoras theorem in triangle PRS, we get
[tex]PR^2=PS^2+SR^2[/tex]
[tex]13^2=5^2+SR^2[/tex]
[tex]169-25=SR^2[/tex]
[tex]144=SR^2[/tex]
Taking square root on both sides.
[tex]\sqrt{144}=SR[/tex]
[tex]12=SR[/tex]
So, the measure of SR is 12 cm.
We know that the diagonals of a rectangle are equal. PR and QS are the diagonals of the rectangle PQRS. So,
[tex]PR=QS[/tex]
[tex]13=QS[/tex]
Therefore, the length of SR is 12 cm and the length of QS is 13 cm.
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One customer bought 2 t-shirts and 3 sweaters for $87. Another customer bought 1 t-shirt and 4 sweaters for $96. What is the price of 1 t-shirt and 1 sweater?
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Answer:
25
Step-by-step explanation:
Resultado de esta cuenta Explicada cuenta completa:
(6+3)²=
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81 is the correct answer
hope it helps you have a good day
The result of a random survey showed that 40 out of 75 people plan to vote for Mr. Best for a position on the local store school board which is the best prediction of the number of people who vote for Mr. Busan if 3000 people vote
Answers
Answer: 1,600 people
Step-by-step explanation:
The survey showed that 40 out of 75 people would vote for Mr. Best.
Convert this figure to a percentage so that you can use it to find out the number of people that would vote for him if numbers were larger:
= 40 / 75
= 53.33%
If 3,000 people voted, 53.33% would vote for Mr. Best which is:
= 3,000 * 53.33%
= 1,599.9
= 1,600 people
1 13/20 as a percentage
Answers
Answer: 565%
Step-by-step explanation: Convert fraction (ratio) 113 / 20 Answer: 565%
what is equivalent to ( 24m-8)‐(3m+1)
Answers
Answer:
(24m-8)-(3m+1)
24m-8-3m-1 (expanding)
24m-3m-8-1 (collect like terms.)
21m-9 (simplified form)
if their is a 7% tax on a $15 toy, what is the tax amount
Answers
Answer:
the answer is 1.05
Step-by-step explanation:
n.....
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Answers
Answer:
I think the answer is D, 15 Square Inches
pls answer
The Slushie Shop offers two options for containers: a cone and cylinder. They have the same height and same diameter. If a full cylinder of slushie were poured into cones, how many cones would it fill?
A. 1/2
B. 1/3
C. 2
D. 3
Answers
Answer:
I think its C.2
Plz correct me if I am wrong
Step-by-step explanation:
Melissa's birthday is
next week and she has been receiving
receiving cards in the mail with different amounts of money. She has received 5 cards with
the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with
$25, which of the following will happen?
Answers
Answer: a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
How many groups of 1/2 pound are in 2 pounds
Answers
Answer:
4
Step-by-step explanation:
2 ÷ 1/2 = 4
Members of a school sports team are raising money by selling custom water bottles at school activities. They plan to sell each bottle for $13. Each bottle costs them $6. They spend $40 for advertising. Use n to represent the number of bottles they sell. Multiply this by the money they make for each bottle, then subtract the advertising cost. Which expression represents the money that the group raises? O A. 40 - (13 - 6)n O B. (13 - 6) n - 40 O C. 13n - 6 - 40 D. 13-on-40
Answers
Answer:
B. (13 - 6)n - 40
Step-by-step explanation:
If each bottle costs them $6 and they are selling each one for $13, the amount of money they make for each bottle can be represented by (13 - 6)n
This is because this finds the profit per bottle, then multiplies it by n, which is the number of bottles they sell.
Then, since they spent $40 on advertising, subtract 40 from this.
The expression will be (13 - 6)n - 40.
The correct answer is B. (13 - 6)n - 40
The expression represents the money that the group raises is (13-6)n - 40
What is expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
According to the question
Members of a school sports team are raising money by selling custom water bottles at school activities.
Let number of bottle they sell = n
Selling price of a bottle = $13
Now ,
Selling price of n bottle = $13n
Cost price of a bottle = $6
Now ,
Cost price of n bottle = $6n
Money spent on advertising = $40
Total they spent on bottles = $6n + $40
Therefore,
Money they raise in expression = 13n - 6n - 40
= (13-6)n - 40
Hence, The expression represents the money that the group raises is (13-6)n - 40
To know more about expression here:
https://brainly.com/question/14083225
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hello whats this ? ill give brainliest
Answers
Answer:
congruent
Step-by-step explanation:
90+90=180
so not 0 or 270
and complementary means they add up to 90 and none of that is true
so it has to be congruent
Hey! This question is probably the hardest for me, I just don't understand it. So if you can help it would be great. Thank you!! :)
Answers
Answer:
11 feet
Step-by-step explanation:
1yard =3 feet
12 yards = 36 feet
36 - 22 = 11 feet
1) Find the missing side. Give each
answer in simplest radical form.
Answers
Answer:
x = 10
y = 10√2
Step-by-step explanation:
Reference angle = 45°
Opposite = 10
Adjacent = x
Hypotenuse = y
Recall: SOHCAHTOA
✔️Apply TOA to find x:
Tan 45 = Opp/Adj
Tan 45 = 10/x
x = 10/Tan 45
x = 10/1 (tan 45 = 1)
x = 10
✔️To find y, apply SOH:
Sin 45 = Opp/Hyp
Sin 45 = 10/y
y = 10/Sin 45
y = 10/(1/√2) (sin 45 = 1/√2)
y = 10 × √2
y = 10√2
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Answer:
it is D if I am not mistkin
Ok so the answer is B
PLS HELP I NEED IT BY TODAY!!
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Answer:The way u did it the first time was correct
Step-by-step explanation:
30x30
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Answers
Answer:
6 feet 3 inches
Answer:
6.375 ft tall
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The sum of Derek and Quency's ages is 19 years. If the difference
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Answers
hope this helped
What is the volume of this sphere
Use π=3.14 and round your answer to the nearest hundredth
Answer All of my questions to get 180 points
Answers
Answer:
3052.08 m³
Step-by-step explanation:
[tex]\boxed{volume \: of \: sphere = \frac{4}{3}\pi {r}^{3} }[/tex]
Given that the radius is 9m, r=9.
Volume of sphere
[tex] = \frac{4}{3} (3.14)(9^{3} )[/tex]
= 3052.08 m³
Answer:
Solution :-Volume = 4/3 • π • r³
Volume = 4/3 • 3.14 • (9)³
Volume = 4/3 • 3.14 • 9 • 9 • 9
Volume = 4 • 3.14 • 27 • 9
Volume = 3052.08 cm³
[tex] \\ [/tex]
I will give brainliest!
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Can somebody please help me
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Answer:
1963.5ft
Step-by-step explanation:
Square the radius, then multiply by pi.
Answer:
A. 1963 ft^2
Step-by-step explanation:
the area of a circle = πr^2
Here r= d/2 = 50/2 =25
Which area on the map benefited MOST from the space program? A) 1 B) 2 C) 3 D) 4 PLSS I NEED A 100!!!!!!! HURRY :[
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Answer:
wheres the pic
Step-by-step explanation:
Which answer choice?
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Answer:
B or C,i think. I'm not sure though
Stan's Sweater Superstore has a 30% off sale. This week only, everything in the store is marked down an additional 10% off the sale price. If Charlie wants to buy a sweater regularly priced at $50, how much would he pay? *Show your work* 8 points Your answer
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Answer:
$30
Step-by-step explanation:
30 % + 10 % = 40 %
40 % of $50 = $20
%50 - $20 = $30
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If triangle MNO and triangle PQR are similar, which of the following must be true?
Answers
Answer:
C and D
Step-by-step explanation:
Want explanation? Comment
Answer:
D
Step-by-step explanation:
It looks like triangle MNO and PQR are similar because PQR is a smaller version of MNO reversed. If this is true, MN is equal to PQ, OM is equal to RP, and ON is equal to RQ. Therefore, the answer should be D.
I really hope this helps!!
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Answers
Answer:
$230Step-by-step explanation:
Work hours Monday till Friday:
3.5 + 5 + 2.5 + 4 + 2 = 18 hoursPayment for 5 days:
15*$8 + (18 - 15)*$10 = $150Payment for Saturday:
5*2*$8 = $80Total payment:
$150 + $80 = $230Answer:
$ 230 is the answer.
Step-by-step explanation:
_ _ _ _ _ _ _ _ _ _ _ _ ____________________ CarryOnLearningCAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! plzzzzzz help
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Answer:
It is 0 units from the x-axis since the line crosses the axis.
Answer:
4 units
Step-by-step explanation:
(X^2 - 8x + 12) / x- 6
Answers
Answer:
X2x−14+12x
Step-by-step explanation:
To model some data, Anne ran a linear regression and found the regression equation to be y=0.554x-0.507.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]y = 0.554x - 0.507[/tex]
The question is incomplete; however, a possible question could be to interpret the given equation.
The equation is given in slope intercept form i.e. [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]b = y\ intercept[/tex]
So, by comparing:
[tex]y = mx + b[/tex] to [tex]y = 0.554x - 0.507[/tex]
[tex]m = 0.554[/tex]
[tex]b = -0.507[/tex]
Hence, the slope of the regression is 0.554 and the y intercept of -0.507