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Ulleksa [173]
2 years ago
15

Two sides of a triangle measure 27 inches and 32 inches. Which could represent the length of the third side?

Mathematics
2 answers:
Helen [10]2 years ago
5 0

Answer:

The third side is greater than 5 but less than 59.

Step-by-step explanation:

Remember: Given any two sides of a triangle, the length of the third side is greater than the difference but less than the sum of the length of the two given sides.

So 27 and 32       The given two sides

   32 - 27 = 5        Greater than the difference   (greater than 5)

   32 + 27 = 59     Less than the sum   (less than 59)

 

charle [14.2K]2 years ago
3 0

Answer:

Step-by-step explanation:

The third side could have dimension x

32 - 27 < x < 32 + 27

         5 < x < 59

There are a few special triangles

Equilateral triangle could have legs

27, 32, <u>27</u>

or

32, 27,<u> 32</u>

A right triangle could have the third side

√(27² + 32²) = <u>√1753</u> which is about<u> 41.87</u>

or

√(32² - 27²) = <u>√295</u> which is about <u>17.18</u>

Notice all these fit within the original limits specified.

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The depth of a lake is 15.8m
Leya [2.2K]

a. Jada got the measurement 16m.

b. The measured depth differ 0.2m from the actual depth.

c. There is a 12.66% error in calculation.

Step-by-step explanation:

Given,

The depth of lake = 15.8 m

a. Jada accurately measured the depth of the lake to the nearest meter. What measurement did Jada get

When a digit after the decimal point is 5 or more than that, the number before decimal is rounded to the next number.

Therefore,

15.8 rounded to nearest number is 16.

The depth of lake measured by Jada = 16 m

Jada got the measurement 16m.

b. By how many meters does the measured depth differ from the actual depth?

Difference = Approx - Exact

Difference = 16 - 15.8 = 0.2m

The measured depth differ 0.2m from the actual depth.

c. Express the measurement error ad a percentage of the actual depth.

Percent error = \frac{|approx-exact|}{exact}*100

Percent error = \frac{|2|}{15.8}*100 = \frac{200}{15.8}

Percent error = 12.66%

There is a 12.66% error in calculation.

Keywords: percent, error

Learn more about percent at:

  • brainly.com/question/9323337
  • brainly.com/question/9103248

#LearnwithBrainly

4 0
3 years ago
Find the distance driven, if you drive at 60 mph for 3 1/2 hours. Round to the nearest whole mile.
blsea [12.9K]
The answer is <span>C. 210 mi
</span>
The velocity (v) is distance (d) divided by time (t):
v = d/t

v = 60 mph
t = 3 1/2 h = 3.5 h
d = ?

d = v * t
d = 60 * 3.5 = 210 mi
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3 years ago
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Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?a. f(x) = –2/3x – 11b. f(x) = –2
Pavel [41]

Answer:

option C

y=\frac{-2}{3}x-11

Step-by-step explanation:

The point slope equation of a line is given by

y-y_1=m(x-x_1)

Where m is the slope and (x1,y1) is the point on the point

y + 7 =\frac{-2}{3}(x + 6)

We need to write the equation in y=mx+b form

multiply -2/3 inside the parenthesis

y + 7 =\frac{-2}{3}x-4

Subtract 7 from both sides

y=\frac{-2}{3}x-11

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3 years ago
Evaluate the expression if y=4.4 and z= 12<br> z2+ 8y
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Answer: <em>59.2</em>

Step-by-step explanation:

<em>Take your equation</em>

<em>z2+8y</em>

<em>Now plug in the values given</em>

<em>(12)2+8(4.4)</em>

<em>24+35.2</em>

<em>59.2</em>

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3 years ago
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