Answer:
100m
Step-by-step explanation:
x=the height of the tower
100m=the distance from the tower
45 degrees the angle of elevation
Drawing a diagram allows you to see that you can form a 'right-angled triangle'.
Using trig. :
Tan 45=x/100m
multiply both sides by 100m
100m*tan 45=100m
Answer: 8x+10y
Step-by-step explanation:
2(4x)= 8x
2(5y)= 10y
8x+10y
Answer:
t = infinite amount of solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
2t + 5 = 2t + 5
<u>Step 2: Solve for </u><em><u>t</u></em>
- Subtract 5 on both sides: 2t = 2t
- Divide 2 on both sides: t = t
Here we see that <em>t</em> does indeed equal <em>t</em>.
∴ t = infinite amount of solutions
We basically use rules of indices or exponents on this one and simplify.
When we have same base to a power multiplied together, we add the exponents. So we have,
When we have power raised to a power, we multiply the powers. So we have,
Simplifying the fraction, we have
. Since the answer choices have a square root sign, this can be changed to include square roots and powers using the formula,
![\sqrt[n]{x^{m}} = x^{m/n}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20%3D%20%20x%5E%7Bm%2Fn%7D)
.
Now we can write as ![\sqrt[2]{2^{5}}](https://tex.z-dn.net/?f=%5Csqrt%5B2%5D%7B2%5E%7B5%7D%7D)
.
Just omit the 2 outside the square root sign as we don't need to write that due to convention. So we have 
. This is answer choice (B).
ANSWER: B
