The maximum height of the football is 15.21 yards.
Maximum height of parabolaThe maximum height is the vertex of the parabola, when the parabola faces down.
Given
The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x^2 + 1.56x.
Where x is the horizontal distance in yards and y is the corresponding height in yards.
The x- coordinate of the vertex is given by;
[tex]\rm x=\dfrac{-b}{2a}[/tex]
The value of b is 1.56, and a is -0.04.
Substitute all the values in the equation
[tex]\rm x=\dfrac{-b}{2a}\\\\x=\dfrac{-1.56}{-0.08}\\\\x=19.5[/tex]
Substitute the value of x in the given equation
[tex]\rm y = -0.04x^2 + 1.56x\\\\ y = -0.04(19.5)^2+1.56(19.5)\\\\y = - 15.21 + 30.42 \\\\ y=15.21 \ yd[/tex]
Hence, the maximum height of the football is 15.21 yards.
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What is the measure of B?
Answer:
m∠B= 60°
Step-by-step explanation:
The given triangle has all sides equal, so it's an equilateral triangle.
Equilateral triangle is always equal to 60°
Therefore, m∠B= 60°.
~
place can help.
place
Answer:
30° , 60° , 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
x + 2x + 3x = 180 , that is
6x = 180 ( divide both sides by 6 )
x = 30
2x = 2 × 30 = 60
3x = 3 × 30 = 90
the 3 angle measures are 30° , 60° , 90°
4. What is the probability that a randomly selected student likes to play video games but does not select math as their favorite subject?
41%
29%
70%
12%
Answer:
I think it would be 29% because it says that 41% of them like video games and math and that 29% of them do not like math but do like and the other two don't like math or video games
Step-by-step explanation:
Answer:
29%
Step-by-step explanation:
picked the box that was on the bottom left
PLSSSSS help me i would like it
Answer:
Hi that symbol is for 90 degrees , that means when u add x + 53 equals to 90 degrees . so the answer is 37 degreesHow do I solve this question?
Answer:Find a pair of integers whose product is c c and whose sum is b b
Step-by-step explanation:
The art teacher spends $120 on art supplies for a class project. The art teacher spends $48 on poster boards and buys jars of paint that cost $6 each. How many jars of paint does the art teacher buy
Instruction:
Each box on this Map is 20 Degrees. Identify the absolute locations of each places named A, B, C, D, and E.
Answers:
A = 20° North, 20° WestB = 40° North, 120° EastC = 20° South, 120° WestD = 40° South, 60° EastE = 60° North, 40° West==========================================================
Explanation:
The equator is the middle-most horizontal line. This is the thickest horizontal line of the group.
The prime meridian is the thickest vertical line shown at the center.
Start where those two lines cross. We call this 0 degrees North and 0 degrees East.
Then move 20 degrees west and 20 degrees north to arrive at point A.
Therefore, we can describe the absolute location of point A by saying "20° N, 20° W". Always list the north/south coordinate first (aka the latitude) before listing the east/west coordinate (longitude).
You probably have come across this type of notation before if you have worked with GPS.
------------------------
Point B is located at the absolute position of 40° N, 120° E
The 40 is from moving 2 ticks up from the center. Each tick is 20 degrees, so 2*20 = 40 degrees total north. The 120 is from 6 movements to the east, so 6*20 = 120 degrees east in total.
Like with point A, and the rest of the points as well, we always start at the center.
-------------------------
Again start at the intersection of the equator and the prime meridian.
We then move 1 tick down, to move 1*20 = 20 degrees south.
We also move 6 tickmarks west to move 6*20 = 120 degrees west.
Therefore, point C's absolute location is 20° S, 120° W
-------------------------
The same idea will play out to locate points D and E.
Solve this system of equations using the substitution method.
Solve for X and Y
y = 2x + 4
4x - 6 = y
ty
Step-by-step explanation:
4x - 6 = 2x + 4
2x = 10
x = 5
y = 2x + 4
y = 2(5) + 4
y = 14
Chef Alfredo has noticed some changes in his business. He usually sells 45 pizzas on Sunday afternoons. During football season, he has big television screens televising NFL games and he sells 72 pizzas. What is the percent change? is it an increase or decrease? show your work to solving the problem, write your answer in a complete sentance.
Answer:
110
Step-by-step explanation:
do you multiply 72 times 45 that equals 110
answer for a lot of points !!!!
Answer:
1. Simile
2. Stanza
Step-by-step explanation:
Simile has words such as: "like" and "as".
Stanza because they can set the structure, pattern, and mood of the poem that proses do for paragraphs.
I hope this helps!
Answer: smile and stanza
Step-by-step explanation:
Which of the
following proves
these triangles are
congruent?
A. Neither, they are not congruent
B. ASA
C. AAS
Answer:
AAS
Step-by-step explanation:
you have the 90 degree angles in both triangles, then the vertical angles, and you have the one side congruent as well.
What is the unknown fraction?
6/10 + ____ = 62/100
help please :(((((((((
Answer:
Im thinking a
Step-by-step explanation:
It cant be c, since you cant have "too many points" and it cant be d because it is a linear function thing, and i am leaning more towards a, because B just sounds weird to me. never seen an answer be that for a question like this.
0.8% of 150 is what number?
ez 1.2
Solution for What is 150 percent of 0.8:
150 percent *0.8 =
(150:100)*0.8 =
(150*0.8):100 =
120:100 = 1.2
a stock was selling at $120 per share. a month later, it was selling at $150 per share. what is the percent increase?
Answer:
25%
Step-by-step explanation:
The formula to find percent increase is [tex]100 * \frac{final-initial}{|initial|}[/tex]. We're given the initial value as 120 and the final value as 150.
[tex]100*\frac{150-120}{|120|}[/tex] [tex]100*\frac{30}{120}[/tex] [tex]100*\frac{1}{4}[/tex] [tex]100/4[/tex] [tex]25[/tex]Therefore, the percent increase is 25%.
Marlon has 4 books to read for homework this week. if he reads 2/3 of a book each night, how many nights will it take to read all four books
Find the number of diagonals in a regular polygon with 7 sides
Answer:
To find the total number of diagonals in a polygon, multiply the number of diagonals per vertex (n - 3) by the number of vertices, n, and divide by 2 (otherwise each diagonal is counted twice).
Step-by-step explanation:
A square with a side length of 18 inches is dilated by a scale factor of
a
1/3. How long is the side length of the resulting square?
Answer: 6 inches
Step-by-step explanation:
18(1/3)=6
midpoint E(-7,8) and F(-9,3)
Answer:
(-8, 11/2)
Step-by-step explanation:
1. The midpoint between two points can be found by averaging the x-values of both points and the y-values of both points. For example, if you had the points (x, y) and (m, n), then the midpoint would be ([tex]\frac{x+m}{2}[/tex], [tex]\frac{y+n}{2}[/tex])
2. Calculate your midpoint. In this specific case your x-value would be (-7+-9)/2 and your y-value would be (8+3)/2, or (-8, 11/2)
25 is what percent of 90
Answer:
To find what percent 25 is of 90, you just have to find the answer to 25 ÷ 90.
25 ÷ 90 = 0.2777
About 27.7%
Answer:
27.7%
Step-by-step explanation:
to figure this out divide 25 by 90 to get 27.7%
Find the slope of the line represented by 3x-2y=-6 using its intercept. How is the slope represented in your graph
Answer:
i think y= 2 3(x+2)
Step-by-step explanation:
i hope, this helps, if not i'm sorrry
2500 principal earning 4%, compounded quarterly, after 4 years.
Answer:$2931.45
Step-by-step explanation:
Which of these are equal to 2100???
3^3
3^7
3^10
3^25
Answer: 3^7
Step-by-step explanation: done!
The equation of a line is y – 13 = 6x What is the y-intercept of the line?
Answer:
Equation of line y-3 = 6x
This equation can be written as
[tex] \rm 6x - y + 13 = 0[/tex]
We are asked to find y-intercept of the line .
Using Slope Intercept Formula
[tex]\qquad \bf \longrightarrow \: y = mx \: + b \: - - - - - (i)[/tex]
Where
m is the slope of line
b is the y-Intercept
[tex]\qquad \sf \longrightarrow \rm 6x - y + 13 = 0 \\ \\ \\ \qquad \sf \longrightarrow \: y \: = 6x + 13 - - - - - - (ii)[/tex]
On comparing equation (i) and (ii) we obtain
[tex]\qquad \sf \longrightarrow \: b \: = 13[/tex]
Therefore,
y-intercept of the line is 13.The y-intercept of the line, given that the line has an equation of y - 13 = 6x is 13
How to determine the y-intercept?The equation of a straight line is given as follow:
y = mx + c
Where
m is the slope c is the intercept on the y-axisThe following data were obtained from the question:
Equation of line: y - 13 = 6xy-intercept =?The y-intercept of the line having an equation of y - 13 = 6x can be obtained as follow:
y - 13 = 6x
Make y the subject
y = 6x + 13
Comparing y = 6x + 13 with y = mx + c, we have the intercept as 13
Thus, we can conclude that the y-intercept of the line is 13
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Two trains, traveling towards each other, left from two stations that are 900
kilometers apart, at 7:00 a.m.. If the rate of the first train is 70 km/h and the
rate of the second train is 90 km/h, at what time will they pass each other
Answer:
1 12:37:pm
Step-by-step explanation:
1)
let x = time that they will pass each other
distance travelled = speed * time
distance of train 1 = 70*x
distance of train 2= 90*x
distance travelled is equal to 900km
70x + 90x = 900
160x = 900
x=5.625
convert into hrs, minutes and seconds
5.625 hrs is equal to 5 hrs, 37 mins, and 30 seconds
add this time to 7:00 am to get the answer
You and a friend are playing a game by tossing two coins. If both coins land on heads,
you win. If both land on tails, your friend wins. Otherwise, nobody wins. The table shows
the possible outcomes
Is this a fair game?
Answer:
yes
Step-by-step explanation:
this is because you both have to get 2 of them on a head or tails
The given game is fair, as both, you and your friend have equal probabilities of winning.
What is the probability of an event?The probability of an event is the fractional value showing how likely an event is to occur. It is determined by the formula,
The probability of an event
= the number of outcomes favorable to the event/total number of outcomes.
How do we solve the given question?All possible outcome when two coins are tossed is {HH, HT, TH, TT}
∴ The total number of outcomes = 4.
For you to win, we need both heads, that is {HH}.
∴ Number of outcomes in your favor = 1
Probability(you win) = 1/4
For a friend to win, we need both tails, that is {TT}.
∴ Number of outcomes in your friend's favor = 1
Probability(friend win) = 1/4
∵ Probability(you win) = Probability(friend win), we can say that the game is fair.
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How do you solve this problem
what is A divided by A% of A
Answer: a of a is a
Step-by-step explanation: done!
Line b has a slope of 8/3. Line c is perpendicular to b. What is the slope of line c
Answer: -3/8
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals of each other.
what is the value of x?
Answer:
A.[tex]\:\:2\sqrt{3} [/tex]
Step-by-step explanation:
By geometric mean theorem.
[tex]x = \sqrt{2 \times 6} \\ \\ \implies \: x = \sqrt{12} \\ \\ \implies \: x = \sqrt{ {(2)}^{2} \times 3} \\ \\ \implies \: x = 2\sqrt{3} [/tex]
Please help I don't understand this.
Answer:
290.6 cm²
Step-by-step explanation:
2(4 · 12 + 4 · 12 + 4 · 4) = 224
224 + 66.6 = 290.6