Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
Answer: 
or 8:17
Step-by-step explanation:
For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-
Given: A right triangle with hypotenuse = 68 units
The side adjacent to S = 60
Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get
Thus, the side opposite to S = 32 units
Now, the trigonometric ratio for sin S is given by :-
Hence, the trigonometric ratio for sin S = or 8:17
Answer:
C) The area of the landscape model is A = 40 sq ft.
Step-by-step explanation:
The original dimensions of the rectangular patio model is
Length = L
Width = W
Area of the patio model = LENGTH x WIDTH = L x W
⇒ A = L W ............. (1)
Now, the new area A" is enlarged by a factor of 2
⇒ The new Length = L" = (2 L)
The new Width = W" = (2 W)
So, AREA" = L" x W" = (2 L) x (2 W) = 4 (L W)
⇒ A " = 4 (L W)
But, L W = A .. from (1)
⇒ A" = 4 A
But, the area of the new enlarged patio is 160 square feet.
⇒ 160 sq ft = 4 x A
or, A = 160 / 4 =40 sq ft
⇒ A = 40 sq ft.
Hence, the area of the landscape model is A = 40 sq ft.
Answer:
C
Step-by-step explanation:
If it is accurate then it would have gotten the correct weight, but by going down to the thousandths it would be precise
Answer:
314
Step-by-step explanation:
Area is pie(r^2
10x10=100
100x3.14 is 314
