Answer:
x = 4 sqrt(2)
Step-by-step explanation:
This is a right triangle so we can use trig functions
sin theta = opp/ hypotenuse
sin 45 = 4/x
Multiply x to each side
x sin 45 = 4/x *x
x sin 45 = 4
Divide each side by sin 45
x sin 45 / sin 45 = 4 /sin 45
x = 4/ sin 45
We know sin 45 = sqrt(2)/2
x = 4/ sqrt(2) /2
x = 8/ sqrt(2)
We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)
x = 8/ sqrt(2) * sqrt(2)/sqrt(2)
x = 8 * sqrt(2) /2
x = 4 sqrt(2)
We can notice from the figure that : Area of the home plate is equal to sum of the Area of the rectangle ( 8 in x 15 in) and Area of the triangle with height 6 in and base 15 in.
Area of the rectangle : Length x Width
⇒ Area of the rectangle = 15 x 8 = 120 in²
Area of the triangle : 1/2 x Base x Height
⇒ Area of the triangle = 1/2 x 15 x 6 = 45 in²
Area of the home plate = Area of rectangle + Area of triangle
⇒ Area of the home plate = 120 in² + 45 in² = 165 in²
<u>Answer</u> : D
The greatest common factor of #14 is 8, and for #16 the answer is 19
Answer:
10.8^2
10.8*10.8=116
10.8 is rounded to the nearest tenth.
