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alisha [4.7K]
2 years ago
8

The lengths of the sides of a triangle are given below. Classify the triangle as acute, obtuse, or right.

Mathematics
1 answer:
abruzzese [7]2 years ago
6 0

Answer:

  • A. Acute Triangle

Step-by-step explanation:

<u>Lets verify with Pythagorean:</u>

  • 17² = 289
  • 13² + 14² = 169 + 196 = 365
  • 289 < 365

The angle opposite to a greater side is less than 90° and the sum of the squares are close.

It means all three angles<u> are less than 90°</u>.

With this the triangle is <u>acute</u>.

Correct choice is A.

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A manufacturer of bicycles has determined that 550 bikes per month will be sold at a price of $250. At a price of $150, it is es
iogann1982 [59]

750 bikes would be sold for $350

Let x represent the number of bikes sold per month and y represent the price.

550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)

A linear function is represented by:

y = mx + b

m is the slope, b is the y intercept.

Therefore the function is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-250=\frac{150-250}{750-550}  (x-550)\\\\y=\frac{1}{2}x-25

The number of bikes sold for $350 is:

350 = (1/2)x - 25

x = 750

Therefore 750 bikes would be sold for $350

Find out more at: brainly.com/question/13911928

3 0
2 years ago
A motor vehicle has a maximum efficiency of 39 mpg at a cruising speed of 40 mph. The efficiency drops at a rate of 0.1 mpg/mph
svp [43]

Answer:

38 mpg

Step-by-step explanation:

Initial efficiency = 39 mpg

Initial speed = 40 mph

Final speed = 50 mph

The efficiency drop  between 40 mph and 50 mph is given by:

E_d = 0.1 \frac{mpg}{mph}*\Delta V

The total efficiency drop from 40 to 50 mph is:

E_d = 0.1 \frac{mpg}{mph}*(50-40)mph\\E_d = 1\ mpg

Therefore, the efficiency at 50 mph is:

E_{50} = E_{40} -E_d\\E_{50} = 39 -1\\E_{50} = 38\ mpg

5 0
3 years ago
In ΔOPQ, the measure of ∠Q=90°, OQ = 80, QP = 39, and PO = 89. What ratio represents the cosecant of ∠P?
Serjik [45]

Answer:

cos(O) = 39 / 89

Step-by-step explanation:

Given:

ΔOPQ, where

∠Q=90°

PO = 89

OQ = 39

QP = 80

cosine of ∠O?

cos(O) = Adjacent / Hypotenuse

cos(O) = 39 / 89

3 0
2 years ago
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Sofia makes and sells stuffed toys. She uses special fabric to cover a foam
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Answer:

384 square cm

Step-by-step explanation:

Fabric used will be equal to the total surface of the cubical block.

fabric \: used \\  = 6 {side}^{2}  \\ = 6 \times  {8}^{2}   \\  = 6 \times 64 \\  = 384 \:  {cm}^{2}  \\

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3 years ago
What is 3640 rounded to the nearest hundred
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The answer is 3600 ;)
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3 years ago
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