a baseball player leads off the game and hits a long home run. the ball leaves the bat at a height of 4ft above the ground and an angle of 32 degrees from the horizontal with a velocity of 131 ft/s.
write a set of equations that model the scenario.

Answers

Answer 1

Answer:

time = 4.4 s

horizontal distance = 488.8 m

Step-by-step explanation:

Height, h = 4 ft

Angle, A = 32 degree above X axis

velocity, u = 131 ft/s

Let the time taken is t.

Use second equation of motion

[tex]h = u t + 0.5 gt^2\\\\- 4 = 131 sin 32 t - 16 t^2\\\\16t^2 - 69.4t - 4 = 0\\\\t=\frac{69.4\pm \sqrt{4816.36 +256}}{32}\\\\t = \frac{69.4\pm71.2}{32}\\\\t = - 0.05625 s, 4.4 s[/tex]

So, time is 4.4 s.

The horizontal distance is

d = u cos A t

d = 131 cos 32 x 4.4 = 488.8 m


Related Questions

Alaina has $28 in her account .she wants to purchase a pair of shoes that costs $45 .if alaina makes the purchase which integer will represent the amount of money in alaina account?

Answers

--Answer--

negative integer

--Explanation--

28 - 45 = -17; the number subtracting is greater than the original number.

Find the total surface area of this square based pyramid. 10 in 5 in [ ? ]in?​

Answers

Answer:

The answer is "[tex]125 \ in^2[/tex]"

Step-by-step explanation:

There is a base of five on every triangular face and a height of ten in. The field of the formulation

[tex]A = (\frac{1}{2})bh \\\\A = (\frac{1}{2} \times 5\ in \times 10\ in)[/tex]

   [tex]= \frac{50 }{2} \ in^2\\\\=25 \ in^2\\\\[/tex]

The base of the square has a formula area

 [tex]A = s^2 = (5\ in)^2 = 25 \ in^2[/tex]

The total area consists of the sum of the four-face area and the base: [tex]total \ \ area = 4 \times \text{(area of 1 face) + (area of base)}[/tex]

                   [tex]= 4 \times (25\ in^2 ) + 25 \ in^2 \\\\= 125 \ in^2[/tex]

What expression represents the profit, and what is the profit if 240 cell phones are sold? 40x-30; $ 2,400 40x-30; $ 9,570 70+50; $ 16,850 70+50; $ 28,800

Answers

Answer:

C: 70 x + 50 = $ 16, 850

Step-by-step explanation:

Which of the following expressions are equivalent to -45 +12?
Choose all answers that apply:
A 3(-15+4)
B
5(-50 + 12)
None of the above

Answers

3 (- 15 + 4) = -45 + 12

This is the answer

This answer would be A. Hope this helps !! If so mark me brainlest thank you !!

harry is a shopkeeper, every month he spends $2000 for running the shop. he sells all the goods at 25% more than its. purchase price. what should be the total sales made by him in a month so that hè can earn a profit of $3000 every month.


A. $12000
B. $15000
C. $20000
D. $25000​

Answers

Answer:

D i think

Step-by-step explanation:

its just a guess

Alex's dog weighs 5 pounds. About how
many grams does Alex's dog weigh since
1 pound is equivalent to about 454 grams?

Answers

Answer:

2270 grams

Step-by-step explanation:

If the dog is 5 pounds and 1 pound=454 grams, do 454x5=2270

Six different​ second-year medical students at Bellevue Hospital measured the blood pressure of the same person. The systolic readings​ (in mmHg) are listed below. Find the​ range, variance, and standard deviation for the given sample data. If the​ subject's blood pressure remains constant and the medical students correctly apply the same measurement​ technique, what should be the value of the standard​ deviation?

Answers

Answer:

[tex]Range=14[/tex]

[tex]\sigma^2 =32.4[/tex]

[tex]\sigma = 5 .7[/tex]

The standard deviation will remain unchanged.

Step-by-step explanation:

Given

[tex]Data: 136, 129, 141, 139, 138, 127[/tex]

Solving (a): The range

This is calculated as:

[tex]Range = Highest - Least[/tex]

Where:

[tex]Highest = 141; Least = 127[/tex]

So:

[tex]Range=141-127[/tex]

[tex]Range=14[/tex]

Solving (b): The variance

First, we calculate the mean

[tex]\bar x = \frac{1}{n} \sum x[/tex]

[tex]\bar x = \frac{1}{6} (136+ 129+ 141+ 139+ 138+ 127)[/tex]

[tex]\bar x = \frac{1}{6} *810[/tex]

[tex]\bar x = 135[/tex]

The variance is calculated as:

[tex]\sigma^2 =\frac{1}{n-1}\sum(x - \bar x)^2[/tex]

So, we have:

[tex]\sigma^2 =\frac{1}{6-1}*[(136 - 135)^2 +(129 - 135)^2 +(141 - 135)^2 +(139 - 135)^2 +(138 - 135)^2 +(127 - 135)^2][/tex]

[tex]\sigma^2 =\frac{1}{5}*[162][/tex]

[tex]\sigma^2 =32.4[/tex]

Solving (c): The standard deviation

This is calculated as:

[tex]\sigma = \sqrt {\sigma^2 }[/tex]

[tex]\sigma = \sqrt {32.4}[/tex]

[tex]\sigma = 5 .7[/tex] --- approximately

Solving (d): With the stated condition, the standard deviation will remain unchanged.

I NEED HELPPP is it 112 or 56 ?????

Answers

The answer is 56!
Please mark brainliest

Sina + sin2a + sin3a + ... + Sinna

Answers

Answer:

sinasinasinasina

Step-by-step explanation:

this ia my answer pag pinagsama lahat ng sina

Helpppppp y’alllllllllll

Answers

Answer:

[tex]V=83.73\ in^3[/tex]

Step-by-step explanation:

The capsule is in the shape of two hemispheres and cylinder.

The volume of the container = volume of two hemispheres + volume of cylinder

The radius of the container, r = 2 in

Height of the cylindrical part, h = 8 in - 4 in = 4 in

So,

[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]

Put all the values,

[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]

So, the volume of the container is equal to [tex]83.73\ in^3[/tex].

What is the equation of the line that is perpendicular to y = -2/3x+4 and that passes through (-2,-2)

Answers

Answer:

y = 3/2x + 1

Step-by-step explanation:

y = 3/2x + b

-2 = 3/2(-2) + b

-2 = -3 + b

1 = b

The product of two rational numbers is 9⁄7 and one of them is 15⁄14. Then the other rational number is​

Answers

Answer:

The other rational number in the operation given is:

6/5

Step-by-step explanation:

To obtain the number in the operation given, we're gonna represent the operation:

r * 15/14 = 9/7

Where:

r = the other rational number.

Now we are going to solve r to identify its value in numbers:

r * 15/14 = 9/7[tex]r = \frac{\frac{9}{7} }{\frac{15}{14}}[/tex] (We pass a number that is multiplying to the left of the equal, to divide to the right of the equal symbol)[tex]r = \frac{6}{5}[/tex]

As you can see, when we operate, the result is 6/5, and we can prove this multiplying as we had in the original equation, replacing r by 6/5:

r * 15/14 = 9/76/5 * 15/14 = 9/79/7 = 9/7

In this form, we know the result is correct.

how to turn 3:7 to a precentage​

Answers

Answer:

3:7 = 42.86% (hope this helps) ;)

Step-by-step explanation:

Ratios are often expressed in the form m:n or m/n. To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.

Follow the following steps for converting a ratio to a percentage:

Step 1: (Rewrite as fraction)

3:7 = 37 = 0.4286

Step 2: (Multiply the fraction by 100)

0.4286 x 100% = 42.86%

Have a great day ;D

jose bought "n" packs of pencils. Each pack has 12 pencils. Write an equation to represent the total number of pencils "p" that josé bought.

Answers

Answer:

nx12=p

Step-by-step explanation:

So every pack has 12 pencils. You multiply the packs of pencils that José bought with how much pencils per pack. Since José bought "n" packs of pencils, the equation is nx12. But the answer is also unknown since we don't know how much packs José bought, so the answer is "p", or the total number of pencils José bought.

The volume of the triangular prism is 54 cubic units.

A triangular prism with a volume of 54 cubic units is shown. The triangle has a base length of 4 and a height of x. The height of the prism is 3 x.

What is the value of x?

3
5
7
9

Answers

Answer:

The answer is 3

Step-by-step explanation:

solve the system of equations:
2x+y=12
3x-y=3
show work pls

Answers

Answer:

x = 3; y = 6

Step-by-step explanation:

Using elimination method:

2x + y = 12

+. (the y will cancel out)

3x - y = 3

5x = 15

therefore, x = 15

5

x = 3

substitute x in one of the equations

2(3) + y = 12

6 + y = 12

y = 12 - 6

y = 6

therefore y = 6

9. A skydiver jumps from a plane at
12,500 ft. She free falls for 30 sec. and
drops to 4,608 ft. After the parachute
is pulled, the skydiver descends at a
rate of 960 ft./min. What is the total
time of the jump?
(A) 4.8 min
B 5.1 min
5.3 min
0 16 min

Answers

Step-by-step explanation:

write the one digit in the square of each of the following numbers

a.13

Solve the absolute value inequalty ⎜3x + 5⎟≤ - 2 a No Solution b - 2 ≤ x ≤ - 7 c All real numbers d -7/3 ≤ x ≤ -3/7

Answers

Answer:

Step-by-step explanation:

First, absolute value is always POSITIVE ⇒ the given inequality has No Solution!!

Just to show you how to solve this kind of problems:

1). If (3x + 5) ≥ 0, then 3x + 5 ≤ - 2

3x ≤ - 5 - 2

3x ≤ - 7

x ≤ - [tex]\frac{7}{3}[/tex]

2). If (3x + 5) < 0, then - (3x + 5) ≤ - 2

3x + 5 ≥ 2

3x ≥ - 3

x ≥ - 1

x ∈ ∅

change for the interval from x = 8 to x = 9.

A. 19,683
B. 13,122 O
C. 3
D. 6561​

Answers

Answer:

its b

Step-by-step explanation:

nahazbzbzhzhzhzhshhs

Answer: B) 13,122

====================================================

Explanation:

We keep multiplying each rate of change by 3

The rate of change from 6 to 7 is 486*3 = 1,458The rate of change from 7 to 8 is 1,458*3 = 4,374The rate of change from 8 to 9 is 4,374*3 = 13,122 which points us to choice B

-----------------

Another way to find the answer is to notice we have a geometric sequence going on here. The first term is a = 2 and the common ratio is r = 3.

The nth term is a(r)^(n-1) which becomes 2(3)^(n-1)

Plugging in n = 1 leads to the result 2. If you plug in n = 2, then you should get 6, and so on.

Plug in n = 9 and we get 2(3)^(9-1) = 13,122

need help!! question is on the picture.

Answers

Answer:

√d=4×5

√d=20

square both sides

√d²=20²

the square cancels the square root

d=400

Find the missing length indicated.

Answers

Answer:

x= 108

Step-by-step explanation:

use the altitude theorem:

altitude ² = projection of side 1* projection of side 2

x² = 144* (225-144)

x² = 144*81

x= √144*81

x= 108


List all the even numbers less than 50,
then find the probability that a number
selected at random:
a) is a multiple of 5.
b) is between 10 and 30.
c) is the number 12.
d) has its square less than 40.​

Answers

Step-by-step explanation:

Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}

Total=24

Multiples of 5={10,20,30,40}

Probability (multiple of 5)=4/24

=1/6

P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28

Total=9

Probability=9/24

=3/8

Probability is number 12

=1/24

Probability it has square less than 40

=(4,36)

Two numbers

Probability=2/24

=1/12

Help me please this is due today and it’s late help help!!

Answers

Step-by-step explanation:

I know A is one because positives and negitives are oppisite but i dont know if there are more

A man bought 2 pounds of coffee and 1 pound of butter for a total of $11.25. A month later, the prices had not changed (this makes it a fictitious problem), and he bought 3 pounds of coffee and 2 pounds of butter for $18.50. Find the price per pound of both the coffee and the butter.

Answers

Answer: See explanation

Step-by-step explanation:

Let the price per pound of coffee be c

Let the price ce per pound of butter be b.

We can form an equation based on the information given and this will be:

2c + b = 11.25 ....... i

3c + 2b = 18.50 ....... ii

From equation i, b = 11.25 - 2c ..... iii

Put the value of b into equation ii.

3c + 2b = 18.50

3c + 2(11.25 - 2c) = 18.50

3c + 22.50 - 4c = 18.50

-c = 18.50 - 22.50

c = 4.00

A pound of coffee cost $4.00

Since b = 11.25 - 2c .

b = 11.25 - 2(4.00)

b = 11.25 - 8.00

b = 3.25

A pound of butter costs $3.25

Write a real-life word problem that can be solved using the system of equations below. Include a definition of the variables. x + y = 325 y = x + 27

Answers

Answer:

The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.

Step-by-step explanation:

Let x be the present age of Ade

Let y be present age of Shola

x + y = 325 means that the sum of their age is 325

y = x + 25 means that the Shola is 25 years older than Ade

Problem statement

The sum of Ade and Shola is 325. Shola is 25 years older than Ade. Find their present ages.

43%×64%÷3+86×18=what?

Answers

Answer:

1548.09173333

Answer:

43%×64%÷3+86×18=

1548.09173333

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Name the quadrilateral ?

Answers

Answer:

Rectancle

Step-by-step explanation:

Has four sides and four edges

Answer:

A rectangle

Step-by-step explanation:

A rectangle has 4 sides, in which the opposite angles are equal.

In here, AD = BC & AB = CD

Hope u understood

Please mark as brainliest

Thank You

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer: 46º

Step-by-step explanation:

The Triangle Sum Theorem states that all triangles’ angles add up to a total of 180º. Therefore, to find X, just set up an equation.

70+64+X=180

134+X=180

-134     -134

X=46

Hope this helps!

What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).

Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.

Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.

Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:

[tex]x=-3[/tex]

I hope this helps!

Help plz

Character limit = EEEEEEEEEEEEEEEEE

Answers

Answer:

160 [tex]cm^{3}[/tex]

Step-by-step explanation:

We know it is square based, so we know that the sides are the same.

Therefore the length is also 4.

4 * 4 * 10

=160

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