Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
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The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:
(-∞,0)∪(0,∞)
Step-by-step explanation:
The domain of a function is wherever the y values exist. The only time the y values dont exist in this function is when the denominator is zero. So the denominator does not exist at x=0, because that is when 4x = 0.
Answer:
0.03
Step-by-step explanation:
3% as a fraction is 3/100. as a decimal it is 0.03. notice when you read the decimal aloud, it is three one-hundredths, which is also the same read aloud in a fraction.
the perimeter of quadrilateral ABED is 36.
<h3 /><h3>What is circumference?</h3>
A circumference is the total distance around a plane shape. Another name for circumference is called perimeter
To calculate the circumference of the quadrilateral, we use the formula below.
Formula:
- Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1
From the Diagram,
Given:
- /AB/ = /DC/ = 8 cm,
- /BE/ = 2×/DA/ = 2×6 = 12 cm
- /ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
- /DA/ = 6 cm
Substitute these values into equation 1
- Peri. of quadrilateral ABED = 8+12+10+6
- Peri. of quadrilateral ABED = 36 cm
Hence, the perimeter of quadrilateral ABED is 36.
Learn more about circumference here: brainly.com/question/20489969
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Z=7 all you really gotta do is subtract 12 from 19 and you get 7
