MATHEMATICS HIGH SCHOOL

At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground launches an arrow toward the target. The system of equations below models the height, in feet, of the target and the arrow t seconds after it was fired. Which statement most likely describes the situation modeled by this system?h=8+2t
h=4+32t-16t^2

1The arrow is fired with an initial upward velocity of 2 ft/s.
2The arrow is fired with an initial upward velocity of 4 ft/s.
3The arrow is fired with an initial upward velocity of 8 ft/s.
4 The arrow is fired with an initial upward velocity of 32 ft/s.

Answers

Answer 1

Answer:

By definition, the equation of movement in its generic form is given by:

$h(t) = -(1)/(2)gt^2 + v0t + h0$

Where,

g: acceleration due to gravity

v0: initial speed

h0: initial height

The equation for the arrow is given by:

$h = 4 + 32t-16t ^ 2$

Then, according to the definition, the initial velocity of the arrow is:

$v0 = 32$

Answer:

4 The arrow is fired with an initial upward velocity of 32 ft / s.

Answer 2

Answer: From the kinematic equations, s(t) = s_in + (v_in)(t) – (1/2)(g)(t^2). This means that there is an initial distance of 4, initial velocity of 32 and acceleration (in opposite direction of the motion) of 32. Option 4 shows the correct answer.

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A four-sided shape with the top side labeled as 10.2 cm. The height is labeled 5 cm. A portion of the base from the perpendicular to a vertex is labeled 4 cm. The portion of the base from the perpendicular to the right vertex is 6.2 cm.What is the area of the figure?

25.5 cm2
45.5 cm2
51 cm2
56.1 cm2

Answers

The area of the figure is 51 cm².

Given that,

A four-sided figure with the top side labeled as 10.2 cm.

The height is labeled 5 cm.

This shape is a trapezium.

Total length of the base = 6.2 + 4 = 10.2 cm

Area of the figure = 10.2 × 5 = 51 cm²

Hence the required area of the figure is 51 cm².

Learn more about Area here :

brainly.com/question/29266824

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What is 12 percent of 120?

Answers

12% of 120 is 14.4

Change the percentage into a decimal by dividing over 100:

12 / 100 = 0.12

Multiply:

0.12 × 120 = 14.4

Answer:

$12\% \: of \: 120 \n (12)/(100) * 120 \n (1440)/(100) \n \boxed{14.4}$

Can anyone help quickly.. explanation is not necessary but would be appreciated, I struggle with this topic and would like to understand it a little bit.

Answers

Answer:

38.68 degrees

Step-by-step explanation:

In this equation you are trying to find the degrees using the hypotenuse and opposite. So you have to use the function sin^-1(5/8). Because when using Sin it is opposote ove hypotenuse.

What is the solution to the equation below?log7+log(x-4)=1
Ox---
38
O x--18
OX=
OX=
18
3998