A coach throws a football from a height of 4 feet with an initial velocity of 59 feet per second at an elevation angle of 45 degrees. Which parametric equation represents the path of the football
Answers
Answer:
[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]
Step-by-step explanation:
From the question we are told that
Height [tex]h=4feet[/tex]
Initial velocity of[tex]v_0=59 feet/sec[/tex]
Angle [tex]\theta= 40\textdegree[/tex]
Generally the parametric equation for projectile motion is mathematically given by
[tex]x=(v_0cos\theta)t,y=y_0+(v_0sin\theta)t-16t^2[/tex]
Therefore
[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]
The parametric equation that represents the path of the football
[tex]x=(59cos 45\textdegree)t,y=4+(v_0sin45\textdegree)t-16t^2[/tex]
Answer:
C
Step-by-step explanation:
Related Questions
If /is an explanatory variable and m is the corresponding response variable, which of these would be represented by the horizontal axis on a scatterplot? O A. Neither /nor m B. 1 C. m D. Both / and m??
Answers
Answer: The explanatory variable goes in the horizontal axis.
Step-by-step explanation:
The explanatory variable is the variable that can be manipulated in an experiment. This is also called (and more commonly) the independent variable. This is the variable we usually "input" in a system, with the objective of observing the change in the response variable (also called the dependent variable, because it depends on the independent variable).
Usually, we write the explanatory variable on the horizontal axis and the response variable on the y-axis.
Then the correct answer would be C: /.
This is only because m is defined ONLY as a response variable, there are a lot of experiments with two variables, where we can use each of the variables as the explanatory variable.
And also there are some cases where in order to make the graph easier to read, we do not use the explanatory variable in the horizontal axis, instead, we may use some transformation or something alike, but those are really special cases.
Randi estimates the sum of 6.8 x 5.2 as 11. Is this a reasonable estimate? Why?
Answers
it isnt reasonable estimate. 6.8 is about 7 and 5.2 is about 5, and 7+5=12, not 11
rectangle has an area of x2 + 3x — 4 and a width of x— 1. What is the length of the rectangle?
Answers
Answer:
x+4
Step-by-step explanation:
If you plug in the answer choices (x+4, x-4, x+2, x-2) into (x-1) (insert solution), x+4 gives you x^2+3x-4. :)
Sneha drinks a 27-ounce energy drink containing 137 calories per 9 ounces. How many calories did she drink?
Answers
Answer: 411
Step-by-step explanation:
The average credit card rate for new users is nearly 15%. Suppose you buy a $120 pair of shoes
using a brand-new credit card. If you are not able to make any payments on your credit card,
how much money will you owe 4 years after you purchased the shoes?
Answers
Answer:
$480
Step-by-step explanation:
Please answer this correctly without making mistakes.I want ace expert and genius people to answer this correctly without making mistakes
Answers
help please
solve for x
Answers
Answer:
x = 17
Step-by-step explanation:
4x-10 and 58 are alternate interior angles since the lines are parallel
Alternate interior angles are equal.
4x-10 = 58
Add 10 to each side
4x-10 +10 = 58+10
4x = 68
Divide each side by 4
4x/4 = 68/4
x = 17
Answer:
17
i did the math at home.
When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
Answers
Answer:
8 3/4
Step-by-step explanation:
time for all work:
Mother - 5 hours
Mother + Sandy + Allen - 2.5 hours
Mother + Allen - 3.5 hours
Sandy - x
In 1 hour
Mother - 1/5
Mother + Sandy + Allen - 2/5
Mother + Allen - 2/7
Sandy - 1/x
(M+S+A) - S = (M+A)
2/5 - 1/x = 2/7
solve equation
x = 8 3/4 hours
Hope this helps :)
The number of hours that Sandy took to decorate the house by herself will be 8.75 hours.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
At the point when Sandy and Allen's mom designs the house for a vacation without help from anyone else, it requires her 5 hours. At the point when both Sandy and Allen help, the three can complete the task in 2.5 hours. At the point when just Allen assists his mom with finishing, it requires two 3.5 hours.
Let 'M', 'S', and 'A' be the number of hours of mother, Sandy, and Allen. Then the equations are given as,
M = 5 ...1
1/M + 1/S + 1/A = 1/2.5 ...2
1/M + 1/A = 1/3.5 ....3
From equations 2 and 3, then we have
1/3.5 + 1/S = 1/2.5
1/S = 1/2.5 - 1/3.5
1/S = 4 / 35
S = 35/ 4
S = 8.75 hours
The number of hours that Sandy took to decorate the house by herself will be 8.75 hours.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Describe the data for a correlational research study and explain how these data are different from the data obtained in experimental and nonexperimental studies, which also evaluate relationships between two variables. A correlational study satisfies which conditions?
Answers
Answer:
Step-by-step explanation:
need asap‼️
Which phrase could be best represented by the algebraic expression
NO
-8?
Choose the correct answer below.
O A. the quotient of 9 and a number z
OB. 8 less than a number z
OC. 8 less than the quotient of z divided by 9
OD. the difference between a number z and 8
Answers
Answer:
oc
Step-by-step explanation:
m n
A bakery can make 320 cookies in 2 hours. At this rate, how many cookies can they make in 5 hours?
Answers
800
800800
800800
800800
800800
800800
800800
800800
800800
800800
800800
800800
800800
800800
800800
800
A square shaped backyard has an area of 144 square yards where the length and width are the same. Another rectangular shaped backyard with the same area has a width of 8 yards and a length of 18 yards. The length x (in yards) and the width y (in yards) shows either direct or inverse variation. What is the equation that relates x and y?
Answers
Answer:
5y and 8x
Step-by-step explanation:
look at image. plssss help
Answers
Answer: B
Step-by-step explanation:
Since the 3 on the outside of the parenthesis is positive, none of the signs change on the inside of the parenthesis when you distribute the 3.
Answer:
The answer is B)
[tex] \frac{3}{5} x - \frac{3}{7} [/tex]
Can someone help I willl give brainliest
Answers
Answer:
87˚
Step-by-step explanation:
Since they have equal angles we can make this equation:
3x + 57 = 8x + 7
5x = 50
x = 10
now we can substite x back into one of the equations
8x + 7
8(10) + 7
80 + 7
87
How to select south Africa in countries
Answers
Answer:
what what 7-Eleven would 7th you have
Express 55 miles per hour in kilometers per hour?
Answers
[tex]7x - 6x = [/tex]
Answers
Just subtract to find the awnser, and add x
Answer:
x
7x-6x=x
7-6=1 but instead of putting the one there it would just be x depending on your teacher they'd mark it wrong if you put the 1.
1. The sum of the interior angles of a regular polygon is 1080°.
Part A: Classify the polygon by the number of sides.
A. 6
B. 8
COS)
C. 10
D. 11
Part B: What is the measure of one interior angle of the polygon? Write your answer to the nearest whole
degree.
degrees
Answers
Answer:
8 sides
each interior angle is 135°
Step-by-step explanation:
The chart shows Jolene's tutoring schedule. Today she worked with both math and
chorus students. When is the next time Jolene will tutor both subjects on the same
day?
Subject. Frequency
Math Every2Days Chorus
Every 5 Days
Pls help urgent
Answers
Answer:
10
Step-by-step explanation:
5x2=10
Answer:
10
Step-by-step explanation:
5 times 2 equals 10
10+(-6)
What is it please tell me
Answers
Answer:
4
Step-by-step explanation:
Answer:
The answer is 4
Step-by-step explanation:
I learnt this in 7th grade.
What is this problem solve ? 2(n-1) +4n=2(3n-1)
Answers
Answer:
Any value will work
Step-by-step explanation:
2n - 2 + 4n = 6n - 2 -> 6n - 2 = 6n - 2 -> 0 = 0. Any value will work
Answer:
infinitely many solutions
Step-by-step explanation:
i ready
What is the equation of the line that passes through the point (4,−2) and has a slope of −2?
Answers
Answer:y=-2x+6
Step-by-step explanation:
You want to find the equation for a line that passes through the point (4,-2) and has a slope of -2.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -2. So you can right away fill in the equation for a line somewhat to read:
y=-2x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(4,-2). When x of the line is 4, y of the line must be -2.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the -2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,-2).
So, why not plug in for x the number 4 and for y the number -2? This will allow us to solve for b for the particular line that passes through the point you gave!.
(4,-2). y=mx+b or -2=-2 × 4+b, or solving for b: b=-2-(-2)(4). b=6.
What is the equivalent fraction of 6/8 with 32 as the new denominator
Answers
letters cost $1 each to send in the mail and packages cost $5 each the equation x + 5y = 25 describes how many letters and packages you can send for $25 find the y intercept and explain what it means
Answers
Answer:
y is the packages in the equation
drag the tiles to the correct boxes to complete the pairs.
the graph shows a quadratic function f(x).
Answers
Answer:
Nothing
Step-by-step explanation:
There is no real question or graph
What is the answer???
The exterior angles of an octagon Are X, 2X, 3X, 4X, 5X, 6x, 7X and 8X. What is the size of the smallest interior angle of this octagon?
A. 10
B.45
C.80
D.100
Answers
Answer:
Hence, the smallest interior angle of this octagon is 100
Step-by-step explanation:
Final answer 100
Plz help I dont know
Answers
Courtney used 25 out of her 30 tickets to select a prize at the arcade.
What is this fraction written as a decimal?
Answers
Answer:
.83333
Step-by-step explanation:
..............
A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people."
What percentage of its capacity is 84 people?
Answers
Answer:
112%
Step-by-step explanation:
The percentage of its capacity is calculated as
Number of people / Maximum Occupancy × 100%
Number of people = 84 people
Maximum Occupancy = 75 people
Hence:
84 people /75 people × 100
= 1.12 × 100
= 112%
Therefore, the percentage of its capacity that is 84 people is 112 %
A, B, and C are pegs on the bank of a canal which has
parallel straight sides. C and D are directly opposite
each other. AB = 30 m and BC = 140 m.
When I walk from A directly away from the bank,
I reach a point E, 25 m from A, such that E, B, and
D line up. How wide is the canal?
Answers
Answer:
116.67 m
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the ratio of their sides are in the same proportion.
From the image attached:
∠A = ∠C = 90° (right angled triangle).
∠ABE = ∠CBD (vertically opposite angles are equal to each other)
The angle-angle similarity postulate states that If two angles of one triangle are equal to two angles of another triangle, then both triangles must be similar. Hence:
Since, ∠A = ∠C and ∠ABE = ∠CBD, we can say that ΔABE and ΔCBD are similar triangles. Since they are similar, the ratio of their corresponding sides is equal. Therefore:
BC / AB = CD / AE
BC = 140 m, AB = 30 m, AE = 25 m
substituting:
140 / 30 = CD / 25
CD = (140 / 30) * 25
CD = 116.67 m
The width of the canal = CD = 116.67 m
