Answer:
DC = 1332.95 feet
Step-by-step explanation:
From the figure attached,
Let the measure of DC = h ft
And measure of side BC = a ft
By applying tangent ratio in ΔBCD,
tan(56°) = 
= 
= 
h = a[tan(56°)] --------(1)
By applying tangent rule in ΔACD,
tan(22°) = 
tan(22°) =
= 
h = (a + 2400)tan(22°) ------- (2)
Equating the values of h from equations (1) and (2),
a[tan(56°)] = (a + 2400)tan(22°)
a[tan(56°) - tan(22°)] = 2400[tan(22°)]
1.0785a = 968.6629
a = 899.085 ft
From equation (1),
h = 899.085[tan(56°)]
h = 1332.948
h ≈ 1332.95 ft
She has to be 7 3/4 inches taller to be the same height as the boy.
Answer:
(-1, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
10x + 6y = 14
-x - 6y = -23
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Add 2 equations together: 9x = -9
- Divide 9 on both sides: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: -x - 6y = -23
- Substitute in <em>x</em>: -(-1) - 6y = -23
- Multiply: 1 - 6y = -23
- Subtract 1 on both sides: -6y = -24
- Divide -6 on both sides: y = 4
Answer:
(9,0) and (-4,0)
Step-by-step explanation:
First, move everything to the left to make the whole equation equal to 0.
So we get x^2-5x-36=0
Then we can factor by finding the two numbers that multiply to -36 and add to -5.
Those two numbers are -9 and 4.
So we have (x-9)(x+4)=0.
So the two roots are 9 and -4.
To verify this on a graphing calculator, plug in the equation and look at the x intercepts.
If they match up with (9,0) and (-4,0) you have your answer.
Answer:
What about the wrong triangles?
Step-by-step explanation:
in order for there to be a right triangle there must be a wrong triangle. your welcoms.