Answer:
11.2square feet
Step-by-step explanation:
Area of a sector = theta/360 * πr²
theta is the central angle = 80degrees
radius r = PC = 4ft
Substitute
Area of the sector = 80/360 * 3.14 * 4²
Area of the sector = 80/360 * 3.14 * 16
Area of the sector = 4,019.2/360
Area of the sector = 11.2ft²
Hence tthe area of the blue sector is 11.2square feet
14.50 × 7%
= 1.015
= 14.50 + 1.015
= 15.515
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Answer:
10.2
Step-by-step explanation:
See the image attached
Answer:
EF is 1.98
Explanation:
For right triangles, you solve for sides and angles using the trig. ratios. You remember then with the acronym SohCahToa.
It is read as:
<u>S</u>ine is <u>o</u>pposite over <u>h</u>ypotenuse.
<u>C</u>osine is <u>a</u>djacent over <u>h</u>ypotenuse.
<u>T</u>angent is <u>o</u>pposite over <u>a</u>djacent.
Which side is opposite or adjacent depends on which angle is the angle of reference, the angle you are talking about. The adjacent side touches the angle of reference.
In this problem, angle D can be the angle of reference.
Since we know DF the hypotenuse, and we are looking for EF, the opposite side, we should use the Sine ratio.
sin D = sin 26° ≈ 0.44
sin D = EF/DF = EF/4.5
Substitute sinD for 0.44 and then isolate EF.
0.44 = EF/4.5
0.44(4.5) = EF Multiply both sides by 4.5
EF = 1.98
The measurement of EF is 1.98.
Answer:
25% for purple
25% for yellow
50% for green
Step-by-step explanation: