Answer:
outside the quotents means to multiply yes but inside means you do that problem first as in the order of PEMDAS Parentheses exponents multiply divide add subtract
Step-by-step explanation:
I’m pretty sure the answer is -7 B
Jessica tipped the driver about $4.75 or $4.756
Answer:
<u>x = 6, length = 8 cm and width = 7 cm</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Area of a rectangle = 56 cm²
Length of the rectangle = x + 2
Width of the rectangle= 2x - 5
2. Solve for x. Round to the nearest whole number.
Area of a rectangle = Length * Width
(x + 2) (2x - 5) = 56
2x² + 4x - 5x -10 = 56
2x² - x - 66 = 0
Factoring, we have:
(2x + 11) * (x - 6) = 0
x₁ = 2x + 11 = 0 ⇒ 2x = -11; x₁ = - 5.5
x₂ = x - 6 = 0 ⇒ x₂ = 6
We picked x₂ because x₁ will give us negative values for length and width.
Length = 6 + 2 = 8 cm
Width = 2 * 6 - 5 = 12 - 5 = 7 cm
Answer:
30 degrees
Step-by-step explanation:
The things we do have and want to find are as follows:
- We know that this is a right triangle, and one angle is 90 degrees
- We want to find an angle
- Relative to that angle, we are given an adjacent side as well as the hypotenuse
One equation that encompasses this is cos(θ) = adjacent/hypotenuse, so
cos(m∠H) = 10√3 / 20
For an equation of form cos(x) = y, we can say that arccos(y) = x. Therefore, we can write our equation as
m∠H = arccos(10√3 / 20)
m∠H = 30 degrees
