Answer:
He missed 10 questions and got 30 right
Step-by-step explanation:
So we could do 0.75 times 40 and we would get 30
So he got 30 questions right which isn't too bad
Answer:
$618,253.61
Step-by-step explanation:
30 to 65 is 35 years
22000 × (1 + 10/100)³⁵
22000 × 1.1³⁵
618253.6107
Answer:
x = 2√2
Step-by-step explanation:
This is a 45-45-90 triangle. This means that if the legs are x, then the hypotenuse is x√2.
In the case, the hypotenuse is already 4. So we have the equation:
x√2 = 4
Multiply both sides by √2
2x = 4√2
Divide both sides by 2
x = 2√2
Answer:
x ≈ 11.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle = 35°
Opposite Leg = <em>x</em>
Hypotenuse = 20
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [sine]: sin35° = x/20
- Isolate <em>x</em>: 20sin35° = x
- Evaluate: 11.4715 = x
- Rewrite: x = 11.4715
- Round: x ≈ 11.5
Answer:
C. 4
Step-by-step explanation:
This is just a common ratio. These two triangles are alike, just that one is smaller than the other. You can see that one of the sides of the big traingle is 10. The same side of the smaller triangle is 5. That means the big traingle's side is twice as big as the small circle's.
10 divided by 5= 2
If the big triangle's side got divided by 2 to get the smaller triangle's side. So, that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.
8 divided by 2= x
8 divided by 2= 4, so x= 4.
This is the ratio:
8:10 to x:5
As you can see the 10 got divided by 2 to get the 5. So 8 must also get divided by 2, which equals 4.
