Answer: x= 29°
Step-by-step explanation: Add angles D and C. Subtract from 180.
58/2 = 29
• When the ball hits the ground, its height is zero, so you are looking for one of the zeros of the quadratic equation.
• Though you could use several different methods, the easiest way to solve this particular equation is the quadratic formula (provided here). Take the a, b, and c values from the function in the question above.
• When you solve the quadratic for the zeros, you will have two answers. One of the answers will not make sense for a baseball hit into the outfield. The one that does make sense will be the correct answer.
The time that the baseball stays in the air is determined by setting h(t), the height, to 0 and solving for t (time) using the quadratic formula; the positive answer represents the time in seconds that the ball stays in the air.
In order to find how long the baseball will stay in the air, we need to solve for the value of t (time) when the height h(t) is equal to 0. This is given by the formula h(t) = -16t2 + 22t + 3. We equate this to zero and solve for t using the quadratic formula: t = [-b ± sqrt(b2 - 4ac)] / (2a).
Here, a = -16, b = 22, and c = 3. Substituting these values into the formula gives two solutions for t. However, we reject the negative solution since time cannot be negative. Therefore, the positive solution gives the amount of time (rounded to the nearest tenth of a second) the baseball stays in the air before it hits the ground.
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Answer:
7250
Step-by-step explanation:
This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.
Answer:
3 inches
Step-by-step explanation:
Lenght = 18 inches
Width =15 inches
Perimeter of the rectangular painting and frame = 90 inches
Let X be the width of the frame
The width of the framed picture = 15 + 2x
The length of the framed picture = 18 + 2x
Perimeter = 2 (L + W)
90 = 2(15 + 2x + 18+ 2x)
90 = 2(33 + 4x)
90 = 66 + 8x
8x = 90 - 66
8x = 24
x = 24/8
x = 3 inches
the width of the frame is 3 inches
To determine the width of the frame, subtract twice the frame width from the length and width of the outer rectangle and set up an equation based on the perimeter.
To determine the width of the frame, we need to first find the dimensions of the inner rectangle formed by the painting. If we subtract twice the frame width from the length and width of the outer rectangle, we get the length and width of the inner rectangle. Let's call the width of the frame 'x'.
The length of the inner rectangle is 15 inches - 2 inches, and the width of the inner rectangle is 18 inches - 2 inches. The perimeter of the inner rectangle is the sum of its four sides, which can be calculated using the
formula P = 2l + 2w. We know that the perimeter of the inner rectangle is 90 inches, so we can set up the equation:
90 = 2(15 - 2x) + 2(18 - 2x)
Solving this equation will give us the value of 'x', which represents the width of the frame.
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The answer is:
First, we need to find the money that Jarred needs including the money that he has already saved.
So, Jarred needs $800.
If he earns $160 a week, we can find the minimum weeks he has to work in order to earn $800 following the next steps:
So, if he has to work at least 5 weeks to earn the total amount of money, it can be expressed by the following inequality:
Have a nice day!
Jarred has to save $800 more to buy the go-cart, that is $1,200 minus the $400 he already saved. If he earns $160 per week, the inequality representing the minimal number of weeks he has to work is: 160w >= 800. If we solve this inequality for w, we find that w must be equal or greater than 5 weeks.
This question is about solving inequalities. The cost of the go-cart is $1,200 and Jarred has already saved $400. That leaves him with $800 he still needs to save.
His job pays him $160 a week. Therefore, we can identify the inequality as 160w + 400 ≥ 1,200.
To determine the minimum number of weeks Jarred needs to work, we solve for w
Steps to solve:
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