Answer:
x = 28.60 feet
Step-by-step explanation:
We are given a height of 2 feet above the ground and the angle of elevation of 86 degrees.
Now, let's assume that the form of our problem is in the form of a right triangle, we can solve for the remaining angle as follows;
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is been calculated below as
2/sin 4 = x / sin 86
solving for x we have
x = 28.60 feet
We have 28.60 feet as our answer
Answer:
15.5 inches
Step-by-step explanation:
- Length of rectangle = 22 inches
- Perimeter = 75 inches
To calculate : Width of the rectangle.
★ Perimeter of rectangle = 2( l + w )
→ 75 = 2(22 + w)
→ 75 = 44 + 2w
→ 75 – 44 = 2w
→ 31 = 2w
→ 31 ÷ 2 = w
→ <u>1</u><u>5</u><u>.</u><u>5</u><u> </u><u>inches</u><u> </u><u>=</u><u> </u><u>Width</u>
Therefore, width of the rectangle is 15.5 inches.
Answer:
(x + 3)(3x - 4)
Step-by-step explanation:
Given
3x² + 5x - 12
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × - 12 = - 36 and sum = + 5
The factors are + 9 and - 4
Use these factors to split the x- term
3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )
= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term
= (x + 3)(3x - 4)
Thus
3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form
Answer:
Let's say Raj's height is 60 inches
60-3 = H
H= Howard's height
60 = Raj's height
Or it could be with two variables
R-3 = H
R = Raj's height
Since they are equal to 90 degrees. (complimentary angles)
6x-11+7x+10= 90
Combine like terms.
13x-1= 90
Add one to both sides.
13x= 91
x= 7
Plug that into the b.
7(7)+10
49+10
59
I hope this helps!
~kaikers