Answer:
1. Sine ratio of angle ∠C = 12/13
2. cos ratio for ∠C = 6/10
Step-by-step explanation:
1. sin = perpendicular /hypotuse
=> 12/13
2. cos = base / hypotuse
=> 6/10
X = -675
I hope this helps! :)
Solve for x, distibutive 0.2:0.2x - 540
Subtract 0.2x to each side: -540 = x - 0.2x
Combine x: -540 = 0.8x
Divide 0.8 to each side: x = -540/0.8 = -675
Answer:
In bold below.
Step-by-step explanation:
(a) The largest angle is opposite the largest side.
So by the Cosine Rule:
8^2 = 4^2 + 6^2 - 2*4*6 cos x
cos x = (8^2 - 4^2 - 6^2) / (-2*4* 6)
= -0.25.
x = 104.48 degrees.
(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48
= 11.62
= 3 √15.
(c) The shortest altitude will have the longest sides as the base.
Area = 1/2 * altitude * base
3√15 = 1/2 * 8 * a
a = 3√15 / 4 cm
= 0.75√15 cm.
<h3>Answer:</h3>
A. None of the factors were negative
because when you multiply or divide an inequality by a negative number you must flip the inequality sign.
Hope this helps you! :)
Answer:

Step-by-step explanation:
we are given that A vegetable garden and a surrounding as a shaped like a square that together a 11 ft wide. The path is 2 feet wide.since together the width of Vegetable garden and path is 11 ft, the width of the vegetables garden will be the difference between the total width and the width of path Thus,

simplify substraction:

recall that, every single side of a square is equal to each other therefore the the area of the garden will be

simplify square:

together the garden and path makes a square of every side length 11 ft saying that the area will be:

simplify square:

the area of path will be the difference between the total area and the garden area therefore,

simplify addition:

to figure out how many bags are needed to cover the path. we just need to divide the area of the path by the area of a bag of gravel and that yields:

simplify division:

hence,
<u>4</u> bags are needed to cover the path.