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Stells [14]
3 years ago
10

In triangle PQR, measurement P = 7x+8 , measurement Q = 8x-10, and measurement R = 7x+6 . List the sides in order from shortest

to longest.
Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

QRP

Q = 8x-10

R = 7x+6

P = 7x+8

Step-by-step explanation:

Let x be any positive integer, say x=2

P=7x+8=(7*2)+8=22 units

Q=8x-10=(8*2)-10=6 units

R=7x+6=(7*2)+6=20 units

From the above, Q is the shortest and P is the longest side. Therefore, the sides arranged from shortest to longest will be Q, R, P

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What is the amplitude of the graph of
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3 years ago
Which transformation will map figure Honto figure H? (1 point)
podryga [215]

Answer:

2) Vertical translation of 10 units

Step-by-step explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

H(x,y) = (4,2)

First, we pick a corresponding coordinate on H'

H'(x,y) = (4,-8)

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H: x = 2 and H':x = 2 ---  The same x coordinates

H: y = 2 and H': y = -8 --- Different y coordinates

The difference between the y coordinates is:

Difference  = H(x) - H'(x)

Difference  = H(2) - H'(2)

Difference  = 2 - (-8)

Difference  = 2 +8

Difference  = 10

Hence,

<em>2) Vertical translation of 10 units </em> is correct.

3 0
3 years ago
Kate found a new knitting pattern she's been wanting to try. It makes a rainbow-striped 60-inch scarf. Last month, it took her 1
telo118 [61]

Answer: 4 weeks (1 month)

Step-by-step explanation: If it took 14 hours for something half the size of the striped scarf then you will just double the time. 1 hour a day will be 28 days which is 4 weeks and almost a month.

7 0
3 years ago
5. A blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12
kow [346]

The average speed is 97346 feet per hour approximately

<em><u>Solution:</u></em>

Given that blue whale calf swam from Miami, Florida, to Havana, Cuba, a distance of 228 miles, in 12  hours 22 minutes

To find: average rate of speed in feet per hour

<u><em>The speed is given by formula:</em></u>

speed = \frac{distance}{time}

From given information,

distance = 228 \text{ miles }

time = 12 \text { hours } 22 \text{ minutes }

We know that,

1 \text{ minute } = \frac{1}{60} \text{ hour}

Therefore,

12 \text { hours } 22 \text{ minutes } = 12 + \frac{22}{60} \text{ hour } = 12.3667 \text{ hour }

Substituting the values in above formula,

\text { speed }=\frac{228}{12.3667}=18.4366

Thus average speed is 18.4366 miles per hour

<em><u>Let us convert to feet per hour</u></em>

We know that,

1 mile = 5280 feet

Therefore,

18.4366 miles = 18.4366 x 5280 feet = 97345.248 feet

Thus average speed is 97346 feet per hour approximately

6 0
3 years ago
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