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Shkiper50 [21]
3 years ago
9

Please help me out with this

Mathematics
1 answer:
Anettt [7]3 years ago
7 0

Answer:

81.75 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated using the formula

A = \frac{1}{2} h (a + b)

where a, b are the parallel bases and h is the perpendicular height

Calculate h using the right triangle and the sine ratio

sin30° = \frac{opposite }{hypotenuse} = \frac{h}{10}

Multiply both sides by 10

10 × sin30° = h, thus

h = 5

a = 12 and b = 8.7 + 12 = 20.7, hence

A = \frac{1}{2} × 5 × (12 + 20.7)

   = 0.5 × 5 ×32.7

   = 81.75 ft²

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3 years ago
Which is the correct stem-and-leaf plot for the data set.
jasenka [17]

Answer:

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Step-by-step explanation:

but which plot

7 0
2 years ago
Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?
sukhopar [10]

Answer:

\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Step-by-step explanation:

Given : \sqrt{2} (3\sqrt{2} +\sqrt{14})

Solution:

\sqrt{2} (3\sqrt{2} +\sqrt{14})

3*2+\sqrt{28})

6+2\sqrt{7}

Thus ,  \sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14

3 0
3 years ago
Read 2 more answers
-24-(-6)+(-31)<br> step by step<br> be sure to simplify first
trasher [3.6K]

Answer:

-49

Step-by-step explanation:

rule of thumb: whenever you have two negatives, they equal a positive! when you have one negative and one positive, it is a negative!

  1. let's start by going from left to right :))
  2. -24 -(-6) + (-31)
  3. -(-6) is actually + 6!
  4. -24 + 6 + (-31)
  5. +(-31) would be -31 because one - and one + is a -
  6. -24 + 6 - 31
  7. -18 - 31
  8. -49

comment or message me if you are still confused or have a question!

8 0
3 years ago
1 substitute p=5, q=7, r = -2
lora16 [44]

1.

a.) 2q + 5r

2(7) + 5(-2)

14 - 10 = 4


b.) 3(p + 6) + q + r     Plug in the numbers

3(5 + 6) + 7 - 2   Solve inside the parentheses first

3(11) + 7 - 2

33 + 5 = 38


2.

a.) m(3m + 4n)

2(3(2) + 4(3))

2(6 + 12)

2(18) = 36


b.) n²(m + p²)

(3)²(2 + (-5)²)

9(2 + 25)

9(27) = 243


c.) 3m(8 + n) + n²

3(2) (8 + 3) + 3²

6(11) + 9

66 + 9 = 75

3 0
3 years ago
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