Given:
The height of an object, f(x), after x seconds is
To find:
The time taken be object to hit the ground.
Solution:
We have,
The object will hit the ground if the height is 0, i.e., f(x)=0.
Divide both sides by 2.
Taking square root on both sides.
Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.
In triangle ABC, BC = 29 units.
Given,
In Δ ABC, ∠A = 45°.
A perpendicular line segment traced from a triangle's vertex to its opposite side is said to be the triangle's altitude.
Let altitude meet AB on D.
So, AD = 20 units and DB = 21 units and ∠ADC = ∠BDC = 90°
In ΔADC,
tan A = DC/AD
tan 45° = DC/20
1 = DC/20
DC = 20 units
In ΔBDC,
BC² = BD² + DC² (Pythagorean Theorem)
= 21² + 20²
= 441 + 400
= 841
BC = √841
= 29
Hence, BC = 29 units.
To learn more about triangle here
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Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (3, 14)
Point (7, 9)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute [Slope Formula]:
- Subtract:
Answer:
y = 17/2
Step-by-step explanation:
7y − 4 = 9y + 13 − 4y
Simplify both sides of the equation.
7y - 4 = 5y + 13
Subtract 5y from both sides.
2y - 4 = 13
Add 4 to both sides.
2y = 17
Divide both sides by 2.
y = 17/2
I hope this helps! Feel free to ask any questions!
C-30 = 5
This should be the answer!
