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Yanka [14]
3 years ago
14

Given that HOP is similar to TAG, which of the following statements must be true? Check all that apply. A. sin T = sin H B. cos

P + cos G = 2cos P C. tan G = tan H D. tan T + tan P = 2tan T

Mathematics
2 answers:
pentagon [3]3 years ago
5 0

<u>The correct answers (Apex) are:</u>

- cos P + cost G = 2cos P

- sin T = sin H

Tju [1.3M]3 years ago
3 0
Pls. see attachment.

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3 years ago
Wilma can mow a lawn in 60 minutes. Rocky can mow the same lawn in 40 minutes. How long does it take for both Wilma and Rocky to
UNO [17]
<h3>Answer:  24 minutes</h3>

===================================================

Explanation:

Let's say the lawn is 120 square feet. I picked 120 as it is the LCM (lowest common multiple) of 60 and 40.

Since Wilma can mow the lawn in 60 minutes, her rate is 120/60 = 2 sq ft per minute. In other words, each minute means she gets 2 more square feet mowed. Rocky can do the full job on his own in 40 minutes, so his rate is 120/40 = 3 sq ft per minute.

Their combined rate, if they worked together (without slowing each other down), would be the sum of the two rates. So we get 2+3 = 5 sq ft per minute as the combined rate. The total time it would take for this 120 sq ft lawn is 120/5 = 24 minutes.

--------------------------

Another approach

Wilma takes 60 minutes to do the full job, so her rate is 1/60 of a lawn per minute. Rocky's rate is 1/40 of a lawn per minute. Their combined rate is

1/60 + 1/40 = 2/120 + 3/120 = 5/120 = 1/24 of a lawn per minute

x = number of minutes

(combined rate)*(time) = number of jobs done

(1/24)*x = 1

x = 1*24

x = 24 is the time it takes if they worked together without getting in each other's way.

Effectively, we are solving the equation

1/A + 1/B = 1/C

with

A = time it takes Wilma to do the job on her own

B = time it takes Rocky to do the job on his own

C = time it takes the two working together to get the job done

The equation above is equivalent to C*(1/A + 1/B) = 1 or (1/A + 1/B)*C = 1.

So basically you find the value of 1/A + 1/B, then find the reciprocal of this to get the value of C.

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3 years ago
Pam jogged 15 and 3/4 miles in 3 hours. At this rate how long would it take Pam to jog 28 and 7/8 miles?
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First, let’s find the distance Pam jogs in one hour.
15.75/3 = 5.25 mph.
Now, simply divide 28.875 (28 and decimal of 7/8) by our new rate.
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2 years ago
X2 - X - 12<br> what's the answer for this question i am stuck
galina1969 [7]

Answer:

not enough info

Step-by-step explanation:

not enough info

6 0
3 years ago
Are these coordinates in direct proportion?<br> (99,99)<br> (104,104)<br> (51,51)<br> (16,16)
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Answer:

yes they are

Step-by-step explanation:

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