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erica [24]
1 year ago
7

Find the measure of each indicated angle

Mathematics
1 answer:
Anna007 [38]1 year ago
7 0
I think the answer would be 24 but im not 100% sure

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Q. Fine Floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how
creativ13 [48]

It takes 5.22 hours to install carpeting in a room

Step-by-step explanation:

At first lets find the relation between yard, feet and inch

1. 1 yard = 3 feet

2. 1 foot = 12 inches

3. 1 yard = 36 inches

Let us change all measures to inches

∵ 1 yard = 36 inches

∴ 1 yard² = (36)² inches²

-  Fine Floors can install 15 square yards of carpeting in 4 hours and

  30 minutes

∵ 15 yard² = 15 × (36)² inches²

∴ 15 yards² = 19440 inches²

∵ 1 hour = 60 minutes

∴ 30 minutes = 30/60 = 0.5 hour

∴ 4 hours and 30 minutes = 4.5 hours

∴ Fine Floors can install 19440 inches² in 4.5 hours

∵ The dimensions of the room are 11 feet 9 inches by 13 feet 4 inches

∵ 1 foot = 12 inches

∴ 11 feet 9 inches = 11 × 12 + 9 = 141 inches

∴ 13 feet 4 inches = 13 × 12 + 4 = 160 inches

∴ The area of the room = 141 × 160 = 22560 inches²

Now lets use the ratio method to answer the question

⇒ area of carpeting (in²)      :      time of carpeting (hr)

⇒ 19440                                :      4.5

⇒ 22560                               :      h

By using cross multiplication

∴ 19440 h = 4.5 × 22560

∴ 19440 h = 101520

- Divide both sides by 19440

∴ h = 5.22 hrs

It takes 5.22 hours to install carpeting in a room

Learn more:

You can learn more about the rate in brainly.com/question/13053630

#LearnwithBrainly

8 0
2 years ago
Read 2 more answers
Sarah and thomas are going bowling. the probability that sarah scores more than 175 is 0.4, and the probability that thomas scor
pychu [463]

When the occurrence of one event say A does not affect the occurrence of another event say B, than the two events are said to be independent such that;

\\  
P(A\cap B)=P(A)\times P(B)

where, P(A) = probability of occurrence of event A

and P(B) = probability of occurrence of event B

(a).

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

and P(B)= Probability that Thomas scores more than 175 = 0.2

Since, the scores are independent, thus the probability that both Sarah and Thomas scores more than 175 is,

\\  
P(A\cap B)=P(A)\times P(B)\\  
P(A\cap B)= 0.4\times 0.2= 0.08\\

Hence, the required probability is 0.08

(b).

When the occurrence of one event say A affects the occurrence of another event say B, than the two events are said to be dependent such that;

\\  
P(A\cap B)=P(A)\times P(B\setminus A)\\

Now, let event A = Sarah scores more than 175

and event B = Thomas scores more than 175

Thus, P(A)= Probability that Sarah scores more than 175 = 0.4

         P(B)= Probability that Thomas scores more than 175 = 0.2

and P(B|A) = Sarah scores more than Thomas given that Thomas scores more than 175 = 0.3

Thus, the required probability is calculated as follows;

\\  
P(A\cap B)=P(A)\times P(B\setminus A)\\  
P(A\cap B)=0.2\times 0.3=0.06



             



             


7 0
1 year ago
Which statement is true about the end behavior of the graphed function?
Tems11 [23]

Answer:

(SEE EXPLANATION FIRST)

Answer D is TRUE because on the graph if you were to keep going left even after the picture of the graph ends, the graph will still keep going up infinite

Step-by-step explanation:

If this is the graph you can read the answer

6 0
2 years ago
Read 2 more answers
Elaine bought $4 worth of apples and $3 worth of lemons did her grocery bag weigh more than 5 1/4
inysia [295]
1/4 will be your answer
7 0
1 year ago
Can you evaluate (g ○ f)(0)? Explain why or why not.
chubhunter [2.5K]

Answer:

No you can't because just like multiplication, you cant divide anything by zero.

Step-by-step explanation:

You must evaluate the function f first.  Division by 0 is undefined.

Therefore, The composition cannot be evaluated.

6 0
2 years ago
Read 2 more answers
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