Answer:1.1 ft^2
Step-by-step explanation:
Φ=55°
Radius=r=4
π=3.14
Area of segment=area of sector - area of triangle
Area of sector=Φ/360 x π x r x r
area of sector=55/360 x 3.14 x 4 x 4
Area of sector=(55x3.14x4x4) ➗ 360
Area of sector=2763.2 ➗ 360
Area of sector=7.7 ft^2
Area of triangle=0.5 x r x r x sinΦ
Area of triangle=0.5 x 4 x 4 x sin55
Area of triangle=0.5 x 4 x 4 x 0.8192
Area of triangle=6.6 ft^2
Area of segment=area of sector - area of triangle
Area of segment=7.7-6.6
Area of segment=1.1 ft^2
10.) B
11.) D
12.) B
13.) D
14.) D
Answer:
53
Step-by-step explanation:
Step-by-step explanation:
n-8≤17
add 8 on both sides to isolate the variable.
n is less than or equal to 25
Answer:
In this case, you can use the concept of cosine to calculate y, and things are even easier when you have one of the special angles which is a 45° angle.
So we know that: cos45° = √2/2
This fact will always be true. In our case, we have:
cos45° = 7/y
Therefore, we have the equation:
7/y = √2/2
⇔ 14 = y√2
⇔ y = 14/√2
⇔ y = √196/√2 = √(196/2) = √98 = 7√2
So y is equal to 7√2
