Answer:
The value of a is 7.4833. The value of
and
.
Step-by-step explanation:
Consider the provided information.
The required figure is shown below:
We need to find the value of a.
Calculate the value of a by using Pythagorean theorem.





Hence, the value of a is 7.4833.
Now find the value of angle A as shown:




Find the value of angle B as shown:




Hence, the value of
and
.
Answer:
x ≈ 4.3
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] tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle = 35°
Opposite Leg = 3
Adjacent Leg = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [tangent]: tan35° = 3/x
- Multiply <em>x</em>: xtan35° = 3
- Isolate <em>x</em>: x = 3/tan35°
- Evaluate: x = 4.28444
- Round: x ≈ 4.3
Let's solve your equation step-by-step.<span><span><span><span> x2</span>+<span>5x</span></span>−6</span>=0</span><span />
<span>
</span>Step 1: Factor left side of equation.<span><span><span> (<span>x−1</span>)</span><span>(<span>x+6</span>)</span></span>=0</span>
<span /><span>
</span>Step 2: Set factors equal to 0.<span><span><span> x−1</span>=<span><span><span><span><span>0</span> or </span></span>x</span>+6</span></span>=0</span><span>
</span><span>
</span><span><span>x=<span><span><span><span>1</span> or </span></span>x</span></span>=<span>−<span>6</span></span></span>
Answer:
6. 5x - 2
7. 13in
8. 3a + 20
9. 21 1/2
explanation:
6. add all of the values together
7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13
8. add all values
9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2
Answer:
$875
Step-by-step explanation:
175/.20