Tranh dives off a 9 m platform. He reaches a maximum height of 9.2 m after 0.26 s. How long does it take him to reach the water
1 answer:
He will reach the ground after 2.023 seconds.
To start, write a quadratic equation in vertex form with the given information about the vertex.
All that we need to solve for is a. Plug in the point (0, 9) and you will be able to solve for a and write the complete equation.
Now, just use the quadratic formula and you will get 2.023 seconds for when he hits the ground.
To start, write a quadratic equation in vertex form with the given information about the vertex.
All that we need to solve for is a. Plug in the point (0, 9) and you will be able to solve for a and write the complete equation.
Now, just use the quadratic formula and you will get 2.023 seconds for when he hits the ground.
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Answer:
<em>24 square yards</em>
Step-by-step explanation:
Find the diagram attached.
The area of the diagram = Area of rectangle + Area of triangle
Area of rectangle = 3 * 4
Area of rectangle = 12 square yards
Area of triangle = 1/2 * base * height
Area of triangle = 1/2 * 6 * 4
Area of triangle = 12 square yards
Area of the diagram = 12 + 12
Area of diagram = 24 square yards
<em>Hence 24 square yards of carpeting is needed</em>
Answer:
a). x = 11
b). m∠DMC = 39°
c). m∠MAD = 66°
d). m∠ADM = 36°
e). m∠ADC = 18°
Step-by-step explanation:
a). In the figure attached,
m∠AMC = 3x + 6
and m∠DMC = 6x - 49
Since "in-center" of a triangle is a points where the bisectors of internal angles meet.
Therefore, MC is the angle bisector of angle AMD.
and m∠AMC ≅ m∠DMC
3x + 6 = 8x - 49
8x - 3x = 49 + 6
5x = 55
x = 11
b). m∠DMC = 8x - 49
= (8 × 11) - 49
= 88 - 49
= 39°
c). m∠MAD = 2(m∠DAC)
= 2(30)°
= 60°
d). Since, m∠AMD + m∠ADM + m∠MAD = 180°
2(39)° + m∠ADM + 66° = 180°
78° + m∠ADM + 66° = 180°
m∠ADM = 180° - 144°
= 36°
e). m∠ADC =
=
= 18°