Answer:
21.8° (22° to the nearest degree)
Step-by-step explanation:
Using cosine law:
a² = b² + c² - 2bc(cosA)
3² = 5² + 7² - 2(5)(7)cosA
cosA = 13/14
A = 21.7867893
Approximately angle: 22°
Answer:
r = 17 units
Step-by-step explanation:
The radius is the distance from the centre (- 7, - 1) to the point on the circle
(8, 7)
Use the distance formula to calculate the radius (r)
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 7, - 1) and (x₂, y₂ ) = (8, 7)
r =
=
=
= = 17 units
Answer:
The error was made in the division step it should have been divided by negative 2
-2(x-6)=8
-2x+12=8
-2x=-4
-x=-2
X=2
Answer:the length of the rectangle is 36 feet
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The length of a rectangle is equal to three times its width. This means that
L = 3W
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
If the perimeter is equal to 96
feet, it means that
2(L + W) = 96
L + W = 96/2 = 48
Substituting L = 3W into L + W = 48, it becomes
3W + W = 48,
4W = 48
W = 48/4 = 12
L = 3W = 3 × 12 = 36
8 / 4+4
8/8
=1
Pls give brainliest