D - the shortest distance from the ship to the shore.
d / ( 17 - x ) = tan 32° = 0.62487
d / x = tan 53° = 1.32704
d = 0.62487 ( 17 - x )
d = 1.32704 x
0.62487 ( 17 - x ) = 1.32704 x
10.62279 - 0.62487 x = 1.32704 x
x = 10.62279 : 1.95191
x = 5.44226 miles
d = 5.44226 · 1.32704
Answer:
d = 7.222 miles
The answer is D: to dilate the triangle by a scale factor of 1:2 (or 1/2).
I hope this Helps!
Answer:
Surface area of the refrigerator is 864 in².
Step-by-step explanation:
Formula to calculate the surface area of a cube is,
Surface area = 6s²
Here, s = length of a side of the cube
If side length 's' = 12 inches
By substituting this value in the formula,
Surface area = 6(12)²
= 6 × 144
= 864 inch²
Therefore, surface area of the refrigerator is 864 in².
The correct answer is B) 9 m.
The measure of the sector of circle R is 32π/9 m. The measure of the central angle is 80°. This means that the sector is 80/360 = 2/9 of the circle. The area of a circle is given by A=πr², so the area of the sector is A=2/9πr². To verify this, 2/9π(4²) = 2/9π(16) = 32π/9.
Using this same formula for circle S, we will work backward to find the radius:
18π = 2/9πr²
Multiply both sides by 9:
18*9π = 2πr²
162π = 2πr²
Divide both sides by 2π:
162π/2π = 2πr²/2π
81 = r²
Take the square root of both sides:
√81 = √r²
9 = r
The answer is the 1st graph. This is because a square have 4 sides and it is all the same. on the x axis (Side length) when it is 4 the perimeter (Length around the outside) will be 4 x 4 which is 16.
Hope this helps?