The quadratic function h(t) = −4.9t^2 + 50t + 2 represents the height, in meters, of a toy rocket t seconds after launch. How many seconds will it take the toy to reach the ground? State your answer to the nearest whole second.
Answer:
The toy reaches the ground in 10 sec
Step-by-step explanation:
When the rocket hits the ground, h becomes zero (0). Thus, our problem here is to solve the equation h(t) = −4.9t^2 + 50t + 2 = 0,
Because of the fractional coefficient -4.9, it's best to use the quadratic equation here. The coefficients of the t terms are {-4.9, 50, 2}. Thus,
the discriminant is b^2 - 4ac = 50² - 4(-4.9)(2) = 2539.2, and the square root of this is 50.39.
The quadratic formula is as follows:
-b ± √discriminant
t = -------------------------------
2a
which here is:
-50 ± 50.39
t = ------------------------ Since t represents time, only the positive result
-9.8 is relevant here; it is 10.24 sec,
which rounds off to 10 sec
The toy reaches the ground in 10 sec
Hector gave 1/4 of his money and an additional $1 to calista he gave 1/5 of his remaining money and an additional $4 to Karen the amount of money hector had left in the end was $31 more than the amount of money he gave to Karen.find the amount of money hector gave to calista
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation.
-5 = s- 3
Answer:
s=-2
Step-by-step explanation:
-5=s-3
+3 +3
-2=s
Hope this helps! :)
Answer:
-2
Step-by-step explanation: I think of it like regular subtraction, you go backwards by 3 to get -5.
Hw help (again)
hope everyone is having a wonderful day <3
Answer:
The numbers are 8 and 6
Step-by-step explanation:
Let x and y be the two numbers
x+y = 14
x-y = 2
Add the two equations together
x+y = 14
x-y = 2
--------------
2x +0y = 16
Divide by 2
2x/2 = 16/2
x = 8
Now find y
x+y = 14
8+y =14
Subtract 8 from each side
8+y-8 =14-8
y =6
The numbers are 8 and 6
Answer:
8 and 6
Step-by-step explanation:
Gavin needs 7/8 gallons of paint to finish painting his deck. He has 0.06 gallon of paint. Does he have enough. Why or why not?
Find the difference. 7.6 - 5.88
Answer:
1.72
Step-by-step explanation:
Would end up being the difference.
What angle is complementary to 2 ?
The area of the rectangular floor in Tamara's room is 95 5/6 square
feet. The width of the room is 8 1/3 feet. What is the length of Tamara's
room?
A bookstore charges $4 for all children's books. Elijah graphs the function that gives the total cost, y, in dollars to buy x number of books. Which ordered pair is a point on the graph of the function?
A) (2,8)
B) (4,12)
C) (9,18)
D) (20,5)
Answer:
A is the right answer
Step-by-step explanation:
just answer the question in simple words lol
Answer:
He should have multiplied 15 tsp by 1 tbsp/3tsp.
Step-by-step explanation:
The tsp labels cancel each other out when one is the numerator and one is the denominator.
15tsp x 1 tbsp/3tsp = 15/3 = 5 tbsp
Can I have help for question B, my answer doesn't give me the mark.
Answer:
isosceles triangle
Step-by-step explanation:
which angle is supplementary to 16 ?
Answer:
Make me a Brainlist plsStep-by-step explanation:
angle 13 is supplementary to angle 16 bcoz of the property of linear pair
X=5 then 3x + 2 =
Pls help I don't know
Answer:
17
Step-by-step explanation:
Substitute "x" for "5" in the equation
3(5) + 2
15 + 2
17
Answer:
3x + 2 = 17
Step-by-step explanation:
x = 5
3x + 2
plug in 5 for x
3(5) + 2
multiply
15 + 2
add
17
Therefor
3x + 2 = 17
Can you plzz find the width...and give steps
Answer:
12
Step-by-step explanation:
We know that Tyler's chest has a length of 30 inches, width of 16, and a height of 24 inches. To find the volume of the chest, multiply the length by width by height: 24*30*16 = 11,520 in^3 The volume is 11,520.
Juliet's chest will Have a length of 40 inches and the same height as Tyler's chest, or 24 inches. It also has the same volume of Tyler's chest, or 11,520
So Tyler's chest is 24 by 30 by 16 inches, and is 11,520 inches^3
Juliet's chest will be 40 by ? by 24 inches, and will be 11,520 inches^2.
We have to find the width of Juliet's chest. To do that, we have to divide the length times height of Juliet's chest by The volume of her chest, or
11,520/(40*24) = 11,520/960 = 12
Her chest is 12 inches wide
pls help me i have to have assignments by 11:00pm so pls help me
Answer: The answer to Number 4 is 1!
Step-by-step explanation:
First you solve for the numbers in parentheses. 16 - 7 is 9, and 2 x 4 is 8. Then you solve for the remaining numbers. So 9 - 8 is indeed 1.
Hope this helps! :)
Answer:
The answer to number 2 is 1
Step-by-step explanation:
[tex] \frac{1}{5} \times 5 = \frac{1}{5} \times \frac{5}{1} \\ \\ \frac{5 \times 1}{5 \times 1 } = \frac{5}{5} = \frac{1}{1} = 1[/tex]
1.) 7+7/9x=−42 2.) 4x+1=−15 3.)−4(x−3)=−40
Answer:
1) x= -1/27
2) x=-4
3) x=13
Step-by-step explanation:
1) 7+7/9x= = -42
14/9x= = -42
14/9x X 9x= -42 X 9x
14= -378x
-378x= 14
-378x/-378= 14/-378
x= -1/27
2) 4x+1=−15
4x+1-1=-15-1
4x=-16
4x/4= -16/4
x=-4
3) −4(x−3)=−40
-4(x-3)/-4= -40/4
x-3=10
x-3+3=10+3
x=13
Pls help me so I can pass
I need it quickly…….
Answer:
I think it's A.
which angles are adjacent to each other ? Select all the apply
Answer:
angle 3 and 4
angle 2 and 3
Answer:
its the 3rd and 4th one
Step-by-step explanation:
pls help im almost done. Find the value of x in the triangle shown below.
Answer:
x = 5
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
12² + b² = 13²
144 + b² = 169
b² = 25
b = 5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
help 15 points (i have to write 20 characters so don't mind this )
Answer:
C
Step-by-step explanation:
First find the area of the entire figure.
L= 36
W = 20
Area = 36 * 20 = 720
Find the area of the left right triangle.
Height = 20
Base = 1/2 * 36 = 18
Just as an aside, let me be a little grumpy for a moment. You should never have to guess what a dimension is on a diagram. It's sloppy. However for this problem you have no choice. But you could think to complain to your teacher.
Area = 1/2 * base * height
Area = 1/2 * 18 * 20 = 180
Find the area of the bottom right triangle.
The height is 1/2 20 = 10
The base is 36
Area of the lower triangle = 1/2 * 36 * 10 = 180
Area of the shaded figure = 720 - 180 - 180 = 360
A football player attempts to kick a football across a field. The path of the football can be modeled by the function h(x) = − 1/225 x^2 + 2/3 x, where x is the horizontal distance from the kick, and h(x) is the height of the football above the ground, when both are measured in feet. How far from the kicker will the football land?
[Help Please!] Find the value of x.
Answer:
x = 52
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles of a triangle
x+72 = 34+90
x +72 =124
Subtract 72 from each side
x = 124-72
x =52
Answer:
x = 52 degrees
Step-by-step explanation:
Let's first focus on the angle x + 72. Immediately adjacent to x + 72 is angle RQS. These two angles are "straight" in that they lie immediately adjacent to one another and add up to 180 degrees. Then angle RQS can be expressed as
180 degrees - (x + 72 degrees), or 108 - x degrees.
The three interior angles of the triangle must add up to 180 degrees. Hence
108 - x degrees + 34 degrees + 90 degrees = 180 degrees, and so:
108 - x + 34 = 90
This yields x = 52 degrees.
HELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKKHELPPPPPP QUICKKKKK
Answer:
D
Step-by-step explanation:
Two boats leave the same harbor in Hawaii at the same time. Boat A is traveling due west at a speed of 45mph. Boat B is traveling due north at a speed of 60mph. How far apart will the boats be in 1 hour? How far apart will the boats be in 3 hours?
I NEED HELP ASAP!!!!! pls and thank you ^w^
helpppp plzzzzzzzzz.....also give steps
Pls name a set of vertical angles in the image below:
Answer:
1 and 3 ; 2 and 4
Step-by-step explanation:
Vertical angles are two angles that have the same vertex. They are congruent
Answer:
1 and 3 are vertical angles
2 and 4 are vertical angles
Step-by-step explanation:
Vertical angles are angles formed by the same lines but are opposite each other
1 and 3 are vertical angles
2 and 4 are vertical angles
The following triangle is an isosceles triangle. What is the length of the missing side?
A. 4 in
B. 37°
C. 53°
D. 11 in
Answer:
D.11 in
Step-by-step explanation:
isosceles triangles have two congruent sides
The missing side length is congruent with the longer side ( this is pretty obvious )
If the longer side has a length of 11in and the missing side is congruent to the longer side then the missing side length equals 11 in
PLS HELP!!
2. At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the letters A and B. (d) List all the possible outcomes of the compound event. (e) If you spin both wheels, what is the probability that you get either a 1 or an A? Explain.
