Answer:
D
Step-by-step explanation:
We need to convert these words into mathematical expressions:
- "Twenty-two less than a number"; "less than" indicates that we need to use subtraction, and since it's "twenty-two less than", we have: -22. Let's say the "number" is q. Then, we have -22 of q, which is q - 22.
- "is twenty-four"; "is" in math always means "equal", so we need an equal sign with 24 next to it: = 24
Put this altogether:
q - 22 = 24
The answer is thus D.
Answer:
Each side is 5 cm
Step-by-step explanation:
What you are being told is that the figure is a rhombus. The two sides of a right triangle are 1/2 the size of the diagonals.
a = 3
b = 4
c = the side length of the rhombus.
a^2 + b^2 = c^2
3^2 + 4^2 = c^2
9 + 16 = c^2
25 = c^2
Take the square root of 25
sqrt(c)^2 = sqrt(25)
c = 5
18% of 700 is 126 .18x700=126
Answer:
∅ = 90°
Step-by-step explanation:
Given;
sin2∅=2sin∅
sin2∅ = 2sin∅Cos∅
but, Sin²∅ + Cos²∅ = 1
Cos²∅ = 1 - Sin²∅
Cos ∅ = √(1 - Sin²∅)
sin2∅=2sin∅ ↓
2sin∅Cos∅ = 2sin∅
2sin∅(√(1 - Sin²∅)) = 2sin∅
Let Sin∅ = P
2P( √(1 - P²)) = 2P
Divide both sides by 2P
√(1 - P²) = 1
Square both sides
1 - P² = 1
P² = 1 - 1
P² = 0
P = 0
Recall, Sin∅ = P
Sin∅ = 0
∅ = Sin ⁻¹(0)
∅ = 90°
