Answer:
7.08
Choice A
Step-by-step explanation:
From the right-angled triangle we have been given the following;
One angle - 33 degrees
The hypotenuse - 13 units
We are required to determine the length of the side, opposite the angle, marked x.
Using the Mnemonic; SOHCAHTOA
The sine of an angle is; (opposite side)/(hypotenuse)
Therefore;
sin 33 = x/13
x = 13 * sin 33
x = 7.080
Answer:
(x, y) → (–x, –y)
Step-by-step explanation:
The rule for 180° rotation about the origin is
The coordinates of the image are obtained by negating both the x and y coordinates of the preimage.
Whether the rotation is clockwise or counterclockwise, the rule remains the same.
The correct option is (x, y) → (–x, –y)
6 vertices is in a triangular prism
Answer:
18 in^2
Step-by-step explanation:
<em>1 )The three sides of the gutter add up to 12</em>
2x+ y = 12
<em>2) Subtract 2x from both sides. </em>
y = 12 — 2x
<em>3 )Find the area of the rectangle in terms of x and simplify.</em>
Area = xy = x(12 — 2x) = -2x^2+12x = f(x)
<em>4 ) x=-b/2a</em>
<em>x co-ordinate of the vertex= -12/2(-2)=3</em>
<em>5 )Plug in 3 for x into they equation.</em>
y co-ordinate of the vertex= 12 — 2(3) = 6
<em>6 ) Plug in 3 for x and 6 for y. </em>
Area= xy = 3(6) = 18
RESULT
18 in^2
20.71 ft
A right triangle is formed by the wall the tree and the ground between them
