Answer:
The correct option is;
a. 20 m/s
Step-by-step explanation:
The given parameters are;
The angle at which the ball is thrown, θ = 30° to the horizontal
The horizontal distance of the top edge of the building where the ball lands from where the ball is thrown, x = 20 m
The height of the top edge of the building above the throwing point = 5 meters
Let "v" represent the speed with which the ball is thrown
We have;
The vertical component of the speed with which the ball is thrown, [tex]v_y[/tex] = v × sin(θ) = v × sin(30°) = v × 0.5 = 0.5·v
[tex]v_y[/tex] = 0.5·v
The horizontal component of the speed with which the ball is thrown, vₓ = v × cos(θ) = v × cos(30°) = v × 0.9 = 0.9·v
vₓ = 0.9·v
The kinematic equation of the motion is y = [tex]v_y[/tex]·t - (1/2)·g·t², where;
y = The vertical height reached = 5 metes
t = The time taken to reach the specified 5 m, height
g = The acceleration due to gravity = 9.8 m/s², we have;
Therefore, we have;
5 = 0.5·v·t - (1/2)·9.8·t²...(1)
Also, from the horizontal motion of the ball, we have the following kinematic equation of motion;
x = vₓ × t
Therefore, by substituting the known values, we have;
20 = 0.9·v × t
∴ v = 20/(0.9·t) = 200/(9·t)...(2)
Substituting the value of t in equation (1) gives;
5 = 0.5·v·t - (1/2)·9.8·t² = 0.5·(200/(9·t))·t - (1/2)·9.8·t²
∴ 5 = 0.5·(200/(9·t))·t - (1/2)·9.8·t² = 100/9 - 4.9·t²
4.9·t² = 100/9 - 5 = 55/9
t = √(55/(9 × 4.9)) ≈ 1.116766
The time taken to reach the specified 5 m height = t ≈ 1.116766 seconds
From equation (2), we have, v = 200/(9·t) = 200/(9 × 1.116766) ≈ 19.8987 m/s
The speed with which the ball is thrown = v ≈ 19.8987 m/s ≈ 20 m/s. to the nearest whole number.
The speed with which the ball is thrown is approximately 20 m/s
Answer:
The answer is:
a) 20 m/s
Hope it helps:D
What is ½ + ⅙ rewritten with a common denominator?
Answer:
4/6
Step-by-step explanation:
look for the LCM of the denominators then divide with each denominator and multiply the answer you have got with the numerator after add it you want change it to it's simplest form
Geoffrey used 7 out of his 20 tokens on one game at the arcade. What is this fraction written as a decimal?
Answer:
0.35
Step-by-step explanation:
[tex]\frac{7}{20}[/tex]
20 ) 7 ( 0.35
0
70
60
100
100
0
Answer:
7\20 as a decimal is
0.35
Just need the explain your answer part. Can anyone help seventh grade math please DESPRATE
9514 1404 393
Answer:
140, 35, 260/35, 7.43, 8
Step-by-step explanation:
The last section is just a summary of the preceding sections, a short description of the problem and how you worked it.
She sells the jackets for 140% of $25, or $35. 260/35 = 7.43 She can only sell a whole number of jackets, so she needs to sell 8.
Evaluate 18y when y
= 2/3
Answer:
12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
18y
y = 2/3
Step 2: Evaluate
Substitute in y: 18(2/3)Multiply: 12Answer:
The answer (rounded) is 12.
Step-by-step explanation:
2/3=0.66666666666
18x0.666666666=11.999998 or 12
I know its a little confusing with the decimals but I can't solve problems with fractions, I have to convert them to decimals. XD
i have no idea what to do (dont mind the extra woork ik its wrong)
Answer:
A) Scale factor from A to B is 2
B) Length of left side is 3 and length of right side is 5.
Step-by-step explanation:
A) Length of the top side is 2.5 in A and is 5 in polygon B. 5/2.5 = 2, therefore scale factor is 2.
B) Because the scale factor is 2, each of the sides double while the angles stay the same. Therefore, the length of the side on the left is 3 and length of the side on the right is 5.
1.5 x 2 = 3
2.5 x 2 = 5
Part (a)
Divide the upper horizontal lengths of the two figures:
5/2.5 = 2
The scale factor is 2. This means figure B has side lengths twice as long compared to figure A.
Answer: Scale factor = 2=======================================================
Part (b)
The missing side length seems to be the diagonal side of figure B. I'm not sure what's going on with the vertical side 89.4 as that should be 3 instead (since 1.5*2 = 3).
The diagonal side is 5 units long since we double 2.5 to get 5.
Answers:
vertical side = 3
diagonal side = 5
Sofia spent $157.25 to make facemasks. After selling 500 facemasks, her revenue was
estimated to be $364.43. Did Sofia make a profit or loss? How do you know? Explain.
Points will be given!!
Find the value of f(-6).
Answer:
f(-6) = 5
Step-by-step explanation:
We want to find the value of the graph when x = -6
Go to where x = -6 and the y value is 5
f(-6) = 5
Choose all the factors of 12. (Check all that apply.)
1
5
8
7
6
3
12
11
4
2
10
9
plz help me
Answer:
1,2,3,4,6,12
Step-by-step explanation:
12•1= 12
2•6= 12
3•4= 12
how many solutions can be found by the equation 3y+5-2y=11?
One car averages 18 miles per gallon while another averages 32 miles per gallon. If both cars travel 14,400 miles per year, how many more gallons does the first car use?
A.288
B.350
C.450
D.512
E.800
What is the answer to r-5r-6s+8s-15
Answer:
-4r+2s-15
Step-by-step explanation:
collect like terms
r-5r= -4r
-6s+8s= 2s
therefore -4r+2s-15
Find the volume of the potato chip container. Use 3.14 for 7. Round to the nearest tenth place,
LZ
Potato
Chips
20 cm
Ranch
7 cm
Step-by-step explanation:
[tex]v \: cylinder = \pi \times r {}^{2} \times h \\ 3.14 \times 3.5 {}^{2} \times 20 \\ 3.14 \times 12.25 \times 20 \\ = 769.3[/tex]
you should round to nearest tenth place...I dont know...hope it helps
what is -8 * -10/-8(-10
-8*-10/-8*-10
= 80/80
=1
So, 1 is the correct answer. (:
Annual Rainfall of Cities
How many intervals could represent an
annual rainfall of 30 in -36 in?
A) 2
B)4
C)3
D) 5
Annual Rainfall (in.)
OA
OB
Oc
Answer:
B: 4
Step-by-step explanation:
The graph shows that there is 4 units between the numbers 30-36.
Hope this helps!
Y = [ ? ]
PLEASE HELP
Answer:
120
Step-by-step explanation:
First, you want to find the third angle
to do that you 180-33+87=60
x=60
since x and y are on a straight line, to find y would be 180-x
180-60=120
y=120
tan2A - sin2A =sin2Atan2A
Step-by-step explanation:
[tex]\tan^2\alpha-\sin^2\alpha=\sin^2\alpha\tan^2\alpha\\\\LS=\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2-\sin^2\alpha=\dfrac{\sin^2\alpha}{\cos^2\alpha}-\dfrac{\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}\\\\=\dfrac{\sin^2\alpha-\sin^2\alpha\cos^2\alpha}{\cos^2\alpha}=\dfrac{\sin^2\alpha(1-\cos^2\alpha)}{\cos^2\alpha}=\dfrac{\sin^2\alpha\sin^2\alpha}{\cos^2\alpha}\\\\=\sin^2\alpha\cdot\dfrac{\sin^2\alpha}{\cos^2\alpha}=\sin^2\alpha\left(\dfrac{\sin\alpha}{\cos\alpha}\right)^2=\sin^2\alpha\tan^2\alpha=RS[/tex]
Used:
[tex]\tan x=\dfrac{\sin x}{\cos x}\\\\\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\sin^2\alpha+\cos^2\alpha=1\to \sin^2\alpha=1-\cos^2\alpha\\\\\text{distributive property}\ a(b+c)=ab+ac[/tex]
Is the following fraction terminating or repeating? *
-3
__
7
Terminating
Repeating
Answer:
repeating -0.428571.....
What is the area of polygon PQRS?
Where are the answers?
Step-by-step explanation:
Please help me ✨✨✨✨✨
Guys plz help me I need the answer fast.
Answer:
can you put the problem and the answer choices in the ch.at or something so i can answer, or just the problem
Step-by-step explanation:
Which of the tables represents a function? (5 points)
Table A
Inputs
Output
3
1
3
4
2
3
Table B
Input
Output
2
7
5
6
2
9
Table C
Input
Output
1
5
7
2
7
3
Table D
Input
Output
3
4
1
5
8
5
Group of answer choices
Table C
Table D
Table A
Table B
Answer:
It's table D
Step-by-step explanation:
I just took the test.
Answer:
The answer is table D!
Step-by-step explanation:
What is the solution to the system below?
3x + y = 11
y = x + 3
Answer:
x = 2
y = 5
Step-by-step explanation:
3x + y = 11 equation (1)
-x + y = 3 multiply this equation by -1
x - y = -3 equation (2)
by adding 2 equations
4x = 8
x = 2
by sub. in Equation (2)
2 - y = -3
y = 2+3
y = 5
What is the value of a+b+c explain your reasoning
Answer:
im not sure but maybe d
Step-by-step explanation:
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
Length of one of the shorter congruent side is: 6 cm
Step-by-step explanation:
In order to find the length of congruent sides we have to solve the system of equations
Given systems of equation is:
y = x + 2
2x + 3y = 36
Putting y = x+2 in second equation
[tex]2x + 3(x+2) = 36\\2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x =6[/tex]
As we know that x represents the shorter side, the length of short side is: 6 cm
Hence,
Length of one of the shorter congruent side is: 6 cm
HELP
If you don’t know it then please don’t answer.
the answer is 4.8. Your welcome
Need help!! Please!! Offering 20 points!
Answer:i
Step-by-step explanation:
Plz answer quickly will mark brainless
Answer:
She must read more than 5 hours
Step-by-step explanation:
equation 12h+10>70
12h>60
h>5
So she must read more than 5 hours
(can I get brainliest now)
Answer:
She must read more than 5 more hoursD.12h+10=512x5=60+10=70 pages.
She reads 12 pages per hour, so if she read for 5 hours, she would have read 60 pages. She has already read 10 pages, so that would equal 70 Pages.
MATH PLEASE HELP!
A square field has an area of 479² ft What is the approximate length of a side of the field? Give your answer to the nearest foot. Explain your response.
Answer:
≈ 22 ft
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( where s is the side length )
Given A = 479, then
s² = 479 ( take the square root of both sides )
s = [tex]\sqrt{479}[/tex] ≈ 22 ft ( to the nearest foot )
Answer:
A = 479 sq ft
479 = x²
square root of 479 = square root of x²
21.89 = x
rounded= 22 ft
pls help me figure this out!!! quick!!
Answer:
35 degrees
Step-by-step explanation:
I think that's a right angle? If so, right angles always are 90 degrees, and 90 - 55 = 35.
All tickets to a play have the same cost. A group bought 6 tickets and paid a total of $99. Write a multiplication equation that can be used to determine cost c in dollars for each ticket.
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
6 miles in 2 hours
0ne hour will be 3 miles.
We have,
6 tickets = $99
Divide both sides by 6.
1 ticket = 99/6
1 ticket = $16.5
The multiplication equation to determine the cost C in dollars of each ticket:
$C = 99 x 1/6
Thus,
The multiplication equation to determine the cost C in dollars of each ticket is C = 99 x 1/6.
The cost of each ticket is $16.5.
Learn more about unit rates here:
https://brainly.com/question/28394073
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