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monitta
2 years ago
13

A triangular banner has an area 1500 square feet. Find the measures of the base and height of the triangle if the base is five-s

ixths of the height.
Mathematics
1 answer:
erastova [34]2 years ago
4 0

Answer:

  • base: 50 ft
  • height: 60 ft

Step-by-step explanation:

The formula for the area of a triangle is ...

  A = (1/2)bh

Filling in the numbers you are given, you get ...

  1500 = (1/2)(5/6h)(h)

  3600 = h^2 . . . . . . . . . multiply by 12/5

  60 = h . . . . . . . . . . . . . .square root

  b = 5/6·60 = 50 . . . . . . base is 5/6 of height

The measures of the base and height are 50 ft and 60 ft, respectively.

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Literally just put what you wrote in the calculator

Step-by-step explanation:

4 • (-9) • (-3) • (-1)

5 0
3 years ago
Find the value of x.
In-s [12.5K]

Answer:

x = 19 cm

Step-by-step explanation:

3+3+2+5+6 = 19

5 0
2 years ago
Two students Are reading a novel Ashley read 10 pages per day Carly reads eight pages per day but she starts early and is alread
iren [92.7K]

Answer:

  • P = 10D
  • P = 8D +40

Step-by-step explanation:

Ashley's page count is ...

  P = 10D

Carly's page count is ...

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The page count is the product of the pages per day and the number of days. Since Carly started with a page count of 40, that is added to the product.

4 0
3 years ago
An employment agency specializing in temporary construction help pays heavy equipment operation $138 per day and general laborer
ki77a [65]
<h3>17 heavy equipment operators and 14 general labourers were employed</h3>

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

Let x = number of heavy equipment operators employed

Then,

31 - x = number of laborers employed

From given,

Pay of heavy equipment operators = $ 138 per day

Pay of general labours = $ 93 per day

Payroll was $3648

Therefore,

number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648

138x + 93(31 - x) = 3648

138x + 2883 - 93x = 3648

45x = 3648 - 2883

45x = 765

x = 17

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31 - x = 31 - 17 = 14

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6 0
2 years ago
Is the following statement a good definition? Why? An obtuse angle is an angle whose measure is greater than 90°.
Virty [35]

180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

<h3>Is the following statement a good definition? </h3>

The given statement is:

"An obtuse angle is an angle whose measure is greater than 90°."

This is the common, but incorrect, definition for obtuse angles.

We know that an angle that measures 180° is called a plane angle and by definition, a plane angle is not an obtuse angle.

And the angles larger than 180° (and smaller than 360°) are the reflex angles.

Now, 180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

If you want to learn more about obtuse angles:

brainly.com/question/5023725

#SPJ1

8 0
1 year ago
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