Answer:
1) the football already reached the ground
2) t = 0.625 seconds
3) t = 1.46 seconds
Step-by-step explanation:
Data
initial velocity, Vi = 20 ft/sinitial height, Hi = 5 feet.gravitational acceleration, g = 32 ft/s²1) time, t = 2.25 s
To relate these variables we need to use the next equation:
H = Hi + Vi*t - 1/2*g*t²
H = 5 + 20*2.25 - 1/2*32*2.25²
H = -31 ft
that is, 31 ft under the line of reference. This means that the football already reached the ground
2) At the highest point the final velocity (Vf) is zero.
To relate these variables we need to use the next equation:
Vf = Vi - g*t = 0
Vi = g*t
t = Vi/g
t = 20/32
t = 0.625 s
3) When the football hits the ground, ΔH = -5 ft. Then:
ΔH = Vi*t - 1/2*g*t²
-5 = 20*t - 1/2*32*t²
0 = -16t² + 20t + 5
Using quadratic formula:
[tex] t = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)} [/tex]
[tex] t = \frac{-20 \pm \sqrt{20^2 - 4(-16)(5)}}{2(-16)} [/tex]
[tex]t = \frac{-20 \pm 26.83}{-32}[/tex]
[tex]t_1 = \frac{-20 + 26.83}{-32}[/tex]
[tex] t_1 = -0.21 [/tex]
[tex]t_2 = \frac{-20 - 26.83}{-32}[/tex]
[tex] t_2 =1.46 [/tex]
The first result is discarded because it doesn't have physical sense. So, the football hit the ground after 1.46 seconds
Anita has two options for how to invest $1,000. Plan A: put the 1,000 in an account that pays $100 per year. Plan B: put the 1,000 in an account that pays 5 percent interest per year. What statement is true? Plan A will be worth more than plan B after two years. Plan A will be worth more than plan B after one year. Plan B will be worth more than plan A after three years. Plan B will be worth more than plan A after four years.
Answer:
True Plan A will be worth more than plan B after two years.
True Plan A will be worth more than plan B after one year.
False Plan B will be worth more than plan A after three years.
False Plan B will be worth more than plan A after four years.
Step-by-step explanation:
plan A proves 10% Standard interest as it is $100 every year
plan B proves $50 per year Standard interest and may increase if this was CI interest as it may include interest on interest but nothing was mentioned that Plan B was CI type interest or any different from plan B type.
Because of this we can only agree option 1+2 out of 1-4 is true.
Help me please due TODAY
Answer:
The answer is 3
Step-by-step explanation:
7.5 m
---------
5
7.5(2)=15
-------------
5
15
--- =3
5
In the figure, BE||CD. Solve for x. Show your work.
Answer:
Answer is x = 15
Answer is given below with explanations.
Step-by-step explanation:
[tex]in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\ [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 9 ft2
B) 11 ft2
C) 13 ft2
D) 17 ft2
Answer:
C
Step-by-step explanation:
3/4 * 4pi = 3pi
3pi + 4 =. 13
the sum of two integers is 19. the larger of the two numbers is 3 more than 3 times the smaller integer. what are the integers
Answer:
4 an 15
Step-by-step explanation:
The two integers whose sum is 19 and the larger of the two numbers is 3 more than 3 times the smaller integer are 4 and 15 respectively.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The smaller interger be 'x'.
So, The larger integer is 3x + 3.
Given, The sum of two integers is 19.
Therefore, x + 3x + 3 = 19.
x + 3x + 3 = 19.
4x = 16.
x = 4, Hence the larger integer is 15.
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Which line segment shows the base that corresponds to the given height of the triangle?
Answer:
A
Step-by-step explanation:
The height of the triangle is always perpendicular to the base. Therefore, in this figure, the base of the triangle corresponds to segment A
WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz
Answer:
Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.
Answer:
Option A
Step-by-step explanation:
In trapezoid, one pair of opposite sides are parallel.
Parallel lines have the same slope.
So , we have to find the slope of four sides and from that we can show that it is a trapezoid.
thank you for the help
Answer:
lll
Step-by-step explanation:
hope it's helpful
Most welcome
Which of the following functions is graphed below? Please help ASAP
Answer:
its not very clear can you take a picture again?
Step-by-step explanation:
A car is traveling at 60 kilometers per hour. How many kilometers
does the car cover in 7 hours?
Answer:
the answer is 420km.
Step-by-step explanation:
Given speed of car =60km/hr
then,distance travelled in 7hours
=speed×time
=60×7=420
=distance 420 km.
Use the given D to find the range of each function: e f(x)=x−4, D={−2, −1, 3}
PLS HELP!!! URGENT
Answer: R={-6,-5,-1}
Step-by-step explanation:
If D= -2
substitute x for -2
f(x)= -2-4=-6
then do that for the rest
In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points.
Which statement is true based on the information?
Team A scored 307 points.
Team C scored 307 points.
Team A scored twice as many points as Team C.
The sum of the points scored by the three teams is 841.
Answer: The correct answer is B or Team C scored 307 points.
Step-by-step explanation:
Answer:
Choice B. Team C scored 307 points.
Step-by-step explanation:
Team B scored 227 points.
Choice A:
Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449
Choice A is false.
Choice B:
Team C: b + 80 = 227 + 80 = 307
Choice B is true.
Choice C:
2 * 307 = 614
614 is not the same as 449.
Choice C is false.
Choice D:
The sum of the points is given as 983.
Choice D is false.
Answer: Choice B. Team C scored 307 points.
Math Question. please Help?
Answer: I don’t know bro I’m sorry but at least add me on insta silverqueef
Step-by-step explanation:
Thank tou
Answer:
13.75/17
Step-by-step explanation:
Cos is Adjacent over Hypotenuse so you take the numerator and put it on and adjacent side of the triangle and you take the denominator and put it on the hypotenuse. Then you use pythagorean theoram to solve for the rest of the triangle. Then you have all three sides of the triangle. Sin is Opposite over Hypotenuse, so you take the opposite angle and just put it over the hypotenuse value to get your sin. If you need a visual just draw a triangle. :)
pls help i give brainliest and 5 stars
Answer:
r=12.5
Step-by-step explanation:
V=2/3πr³
V=1300π m³
r=?
r=3√(3*1300π/2)
r=12.49
Need help ?? Anyone?
Answer:
64
Step-by-step explanation:
When two angles are supplementary, their measures must add up to 180 degrees. Therefore:
x+y=180
x+116=180
x=180-116=64 degrees
Hope this helps!
Answer:
∠x = 64°
Step-by-step explanation:
∠x+∠y=180°
∠x+116°=180°
Subtract 116° from both sides
∠x=64°
If you awnser this correctly I will give you more points
Answer:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
Step-by-step explanation:
1) 5m-10
Parts, 5m, -10
Operation, Subtraction
Word Expression, 10 less than the product of 5 and m.
2) 12/2+7
6+7
13
3) 8y-(22)
Terms, 8y, 22
Operation, Subtraction
Word Expression, 22 less than the product of 8 and y.
Answer:
number 2 is 13 and number 3 is-2.75
Step-by-step explanation:
-2.75
Determine if the sequence -184, -207, -230, -253,... is arithmetic or geometric. Then identify the next term in
the sequence.
a arithmetic; -23
b. arithmetic; -276
c. geometric; -23
d. geometric; -276
Answer:
a arithmetic; -23
Step-by-step explanation:
this is not geometric sequence as we don't see multiplication effect in the terms
let's see what is the difference in terms
-207- (-184)= -23
-230- (-207)= -23
-253- (-230)= -23
we can state it is an AP with common difference of -23
option a. is correct
does anyone know this?
Answer:
Step-by-step explanation:
5•-4= -20
5•-3x= -15x
-6x•-4= 24x
-6x•-3x= 18x^2
Answer:
20 : 15x
:
: : : : :
24x : 18x
:
Step-by-step explanation:
5×-4=20
5×-3x=-15x
-6x×-4=24x
-6x×-3x=18x
// have a great day //
Subtract.
5 3/4 - 2 7/8 HELLLLLLLPPPPPPPPPPP
Answer: HI, Hope this helps you dear!
Step-by-step explanation:
3/4 - 2 7/8 = 2.8755
Answer:
2 7/8
Step-by-step explanation:
5 3/4 = 23/4
2 7/8 = 23/8
23×2=46
4×2=8
46/8-23/8= 2 7/8
The length of a rectangle is 9 inches longer than the width. If the area is 205 square inches, find the
rectangle's dimensions. Round your answers to the nearest tenth of an inch.
Answer:
L=19.5in w=10.5in
Step-by-step explanation:
Draw a rectangle. If the length is 9 inches longer than its width, we can write the width as "w" and the length as the width + 9
Area is (width)(Length) = (width)(width+9)
W
----------
| |
| |
| | L = w+9
| |
| |
-----------
A = (w+3)(w)
A = w2 + 9w = 205.
(Problem states that area is 205 sq in)
Need to solve this quadratic equation
w2 + 9y - 205 = 0
Factor:
(w - 10.51) (w + 19.51) = 0
So
w - 10.51 = 0. or. w + 19.51 = 0
Solve these and get
w = 10.51. or. w = -19.51
Only one that makes sense in real life is the positive one.
So the dimensions are
Width = 10.51 inches
Length = 19.51 inches
Peter made a rectangular sandbox for his brother to play in. The sand box measured 4 feet by 5 feet by 1 One-half feet. How much sand will fill the sandbox?
A: 30 ft2
B: 30 ft3
C: 67 ft2
D: 67 ft3
Pls, help! I really need it! THANKS!! I'm giving 15 points + BRAINLIEST
THANK YOU NOW PLS HELP ME
Answer:
k= 112
Step-by-step explanation:
12y = 7z
y= 7z/12
_________
3x =8y
3x= 8× 7z/12
3×=56z/12
36x=56z
x=56z/36
_________
zk=72x
zk= 72 ×(56z/36)
k= (72×56)/36
k=112
Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.
is this theoretical or experimental
any why?
Answer:
Experimental
Step-by-step explanation:
It is not a theory he actually tossed the penny
what is the length of the hypotenuse of a triangle with legs of 8 and 19?
a. 17.2
b. 20.6
c. 297
d. 425
There are 13 plates and 9 cups on a shelf in a cabinet. what is the ratio of the number of plates to the number of cups
Answer:
[tex]13 \: \: \: \: : \: \: \: \: 9[/tex]
Step-by-step explanation:
[tex]plates = 13 \\ cups = 9[/tex]
So the ratio of the number of plates to the number of cups.
[tex]plates \: \: \: \: \: : \: cups \\ \: \: \: \: \: \: \: \: 13 \: \: \: \: \: \: \: \: : \: \: 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the angles below are vertical? *
Answer:
Angle 1 and Angle 3
Step-by-step explanation:
When two lines intersect, they form two pairs of vertical angles. These angles are equal in measure, and they are directly opposite each other in the intersection. For instance, in this case, that would be angles 1 and 3, or angles 4 and 2. Since 4 and 2 aren't an option, the correct answer is angle 1 and angle 3. Hope this helps!
The angle 1 and angle 3 are vertical angles
What are vertically opposite angles?Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . A pair of vertically opposite angles are always equal to each other. Also, a vertical angle and its adjacent angle are supplementary angles, i.e., they add up to 180 degrees.
According to question
angle 1 = angle 3 ( vertically opposite angle )
angle 2 = angle 4 ( vertically opposite angle )
Hence, angle 1 and angle 3 are vertically opposite angle.
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What is the tangent ratio for ∠A?
Answer:
1/2
Step-by-step explanation:
what is the value of a in simplest form?
Answer:
[tex]x^4[/tex]
Step-by-step explanation:
[tex]\frac{x^{3} }{\sqrt[6]{x}}[/tex]
[tex]((\sqrt{x})^{2})(x^{3} )[/tex]
[tex](x)(x^3)\\x^4[/tex]
A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base
of the wood to the wall is 75 degrees , how far is the wood from the base of the wall?
Answer:
22.22 feet
Step-by-step explanation:
The piece of wood forms the shape of a right angled triangle with the wall of the house and the floor.
The piece of wood is 23 feet long and it is the hypotenuse.
The angle of elevation of the wood is 75° and we are to find the length of the wood to the base of the wall. Let that be y.
Using trigonometric function SOHCAHTOA:
sin(75) = x/23
=> x = 23 * sin(75)
x = 22.22 feet
The wood is 22.22 feet far from the base of the wall.
PLZ HELP ASAP!!! Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $15.00 of the total money is Peter's, how much do all five brothers have combined?
A: $3.75
B: $75
C: $60
D: 45
Answer:
c
Step-by-step explanation:
25% = 15$ so 15+15+15+15=60