The graph shows the movement of a car from point A to point D, there are two slant line AB and CD.
(1) Calculate the speed of the car during the first 10 seconds.
(2) For how long did the car stop.
(3) What is the average speed of the car for the whole journey.
(4) Why the line BC is flat not slant.
Answers
Answer:
The answer is below
Step-by-step explanation:
a) The speed of the car during the first 10 seconds is equal to the slope of the line AB. The line AB passes through (0, 0) and (10, 200)
slope = (200 - 0)/(10 - 0) = 20 m/s
The speed of the car during the first 10 seconds is 20 m/s
b) The time for the car to move from point A to point D = 60 seconds
c) Distance from point A to B = 200 m, distance from C to D = 500 - 200 = 300 m, distance from B to C = 20 m/s * 20 s = 400 m
Total distance from A to D = 200 + 400 + 300 = 900 m
Average speed = total distance / total time = 900 m / 60 seconds = 15 m/s
d) line BC is flat because the car moves at a constant speed from point B to point C. That is the speed does not change.
Related Questions
What is the supplement of ([dozen sixes] + 80)degrees?
28 degrees
22 degrees
82 degrees
188 degrees
Answers
Answer:
28°
Step-by-step explanation:
Supplementary angles sum to 180°
( dozen sixes) + 80
= 12 × 6 + 80
= 72 + 80
= 152°
supplement = 180° - 152° = 28°
Laura has rectangular piece of wood that is 8 inches by 5.She wants to cover the top of the piece of wood with strips of ribbon that are 1/5 inch wide
What length of ribbon does she need to cover the top piece of wood?
Answers
Answer:
Laura will need 40 inches of string for this project.
Step-by-step explanation:
Divide 1/5 inch/strip into 8 inches:
8
------- = 40 inches
(1/5)
Which statement is true about the local minimum of the graphed function? O Over the interval [-4. -2], the local minimum is 0 Over the interval [-2, -1), the local minimum is 25 o Over the interval [-1.4], the local minimum is 0 Over the interval [47], the local minimum is -7.
Answers
Answer:
Step-by-step explanation:
123
hello guys I am with another new question-- 5√6=what? who answers will get!!
Answers
Answer: 12.24744871
Hope this helps!!! :)
. Theo is comparing shark lengths. He learned that a horn shark is 2 3/4 feet long. A blue shark is 4 times as long. Use the bar model. How long is a blue shark?
A 8 3/4 feet
B 11 feet
C 12 1/4 feet
D 13 feet
Answers
Answer:
11
Step-by-step explanation:
2 3/4 times 4 equals 11
A circle has a diameter that measures 14in. what is the area of the circle to the nearest tenth?
Answers
Answer:
153.9
Step-by-step explanation:
14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.
Answer:
153.9
Step-by-step explanation:
We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.
What angle is this?
-Complementary
-Vertical
-Adjacent
-Supplementary
Answers
Answer:
Vertical
Step-by-step explanation:
Angles a and b reflect each other, which is what vertical angles are.
Hooooooyooo I need help
Answers
Given:
The height of the triangular prism is 15 cm.
The side lengths of the base are 3 cm, 4 cm and 5 cm.
To find:
The lateral surface area of the prism.
Solution:
The lateral surface area of the prism is:
[tex]LSA=Ph[/tex]
Where, P is the perimeter of base and h is the height of the prism.
We know that the perimeter of base is the sum of all sides of the base.
The perimeter of the prism is (3+4+5) cm and the height of the prism is 15 cm.
So, the lateral surface area of the prism is:
[tex]LSA=(3+4+5)\times 15[/tex]
[tex]LSA=(12)\times 15[/tex]
[tex]LSA=180[/tex]
Therefore, the lateral surface area of the prism is 180 square cm.
PLS HELP ILL MARK BRAINLIST
Answers
Answer:
76 m²
Step-by-step explanation:
The figure has been decomposed into 3 rectangles as shown in the attachment. Therefore:
Area of the figure = area of rectangle 1 + area of rectangle 2 + area of rectangle 3
✔️Area of rectangle 1:
Area = L*W
L = 2 m
W = 4 m
Area = 2*4 = 8 m²
✔️Area of rectangle 2:
Area = L*W
L = 4 m
W = 6 - 4 = 2 m
Area = 4*2 = 8 m²
✔️Area of rectangle 3:
Area = L*W
L = 10 m
W = 6 m
Area = 10*6 = 60 m²
✅Area of the figure = 8 + 8 + 60
= 76 m²
Misty needs to gather at least 20 flags for the parade. She has already gathered 6 flags. The inequality shown can be used to find n, the number of flags Misty still needs. n + 6 > 20 Which inequality represents the solution set for this situation? F n < 26 G n > 26 H n < 14 J n > 14
Answers
Answer: [tex]n>14[/tex]
Step-by-step explanation:
Given
Misty needs to gather at least 20 flags for the parade
She has already gathered 6 flags
Inequality to find the number of flags needed is
[tex]n+6>20[/tex]
Subtract -6 from both sides
[tex]\Rightarrow n+6-6>20-6\\\Rightarrow n>14[/tex]
Therefore, option (j) is correct.
Jack is building a rectangular fence for his ferret. He has 20 feet of fencing and wants the short side of the fence to be 7 2 feet. How long will the other side of the fence be? Write the answer in decimal form. The long side will be feet.
Answers
Answer:
6.5 feet
Step-by-step explanation:
The guy above me is correct its 6.5 feet
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Answers
Answer:
x=67
y=40
The angles equal 63 and 117
Step-by-step explanation:
88% sure
Matti built a greenhouse in his backyard as shown below. A triangular prism with a rectangular base. The prism has a base of 7 feet by 15 feet. The height is 7 feet. The side lengths are 7.8 feet. How much cubic space is in Matti's greenhouse? 191.1 ft 367.5 ft 382.2 ft 735.0 ft
Answers
Answer:
Capacity of Matti's green house = 367.5 cubic feet
Step-by-step explanation:
Given:
Base Width and Length = 7 feet by 15 feet
Height of prism = 7 feet
Find:
Capacity of Matti's green house
Computation:
Capacity of Matti's green house = Volume of rectangular base[triangular prism]
Volume of rectangular base[triangular prism] = Area of triangular base x Height
Capacity of Matti's green house = [(1/2)(7)(7)][15]
Capacity of Matti's green house = [(1/2)(49)][15]
Capacity of Matti's green house = [(24.5)][15]
Capacity of Matti's green house = 367.5 cubic feet
Answer:
367.5 Cubic ft3
Step-by-step explanation:
Just look at the other persons explanation
(Please give them brainliest)
Find the measure of the missing angle.
A
43°
Help ASAP plz
Answers
Answer:
47
Step-by-step explanation:
The missing angle is complementary to the angle shown and together they from 90.
Your missing angle is 90 - 43
GEOMETRY HELP ASAP !!!!
Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy the above onto your computer for future reference
sin(g) = 420/427
tan(z) = 77/420
cos(z) = 420/427
sin(m) = 427/427
part (E) the sin of any right angle will be 1 :)
Answer:
Solution given:
Sin G=opposite/hypotenuse=420/427
TanZ=Opposite/adjacent=77/420
CosZ=adjacent/hypotenuse=420/427
Sin M=opposite/hypotenuse=427/427=1
help find value of x and Angle HIK
Answers
Answer:
4) x = 19
Part B = 37
Step-by-step explanation:
These 2 angles are equal to each other because they're vertical angles.
4x + 67 = 143
4x = 143 - 67
4x = 76
x = 19
m<HIK:
180 - 143 (because it's supplementary to m<GIK)
37
Help ASAP. With lots of points will give brainiest!
I only need help explaining and showing the steps
STRUCTURE Tell whether the triangles are similar.
Answers
Answer:
yes it's similar triangle because it has same shape but size is not equal
WHAT IS THUS PEOPLE
Answers
please help im very confused
Answers
Answer:
option D : 130°
Step-by-step explanation:
m∠2 = m∠7 = 130° , (corresponding angles)
A silo for storing grain Is shaped like a cylinder with a cone on top the cylinder is 40 feet tall and has a radius of 20 feet the cone is 10 feet tall with the same radius approximately how many cubic feet of grain can fit in the is shaped like a cylinder with a cone on top the cylinder is 40 feet tall and has a radius of 20 feet the cone is 10 feet tall with the same radius approximately how many cubic feet of grain can fit in the
silo
Answers
Answer: 54,454 ft^3
The volume of the cylinder is about 50265.4 and the volume of the cone is 4188.7. If you add this together you get 54,454.1. Therefore, 54,454 ft^3 is the answer
Andrew had 40 dollars to spend on paying the paint store was having a sale each color comes in one gallon container that cost $12 each 3/8 of a gallon is needed to paint each wall will he have enough money to buy for the room explain your answer there are four walls to be painted
Answers
Answer:
yes, he would have enough money
He would need a total of 1.5 gallons to paint the wall .
the cost of 1.5 gallons is $18 dollars.
Andrew has 40. he has enough money
Step-by-step explanation:
total gallon needed to pain four walls = 3/8 x 4 = 1 1/2 gallons
total cost of 1 1/2 gallons = 1 1/2 x $12
to calculate this amount convert 1 1/2 to improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
3/2 x $12 = $18
which is the solutions to the system of equations shown { 3x - y = 6 and here is the other equation{ x - 2y = -18
Answers
Answer:
(6, 12)
Step-by-step explanation:
{ 3x - y = 6
{ x - 2y = -18
by using elimination:
6x -2y=12
x - 2y= -18
________-
5x = 30
x = 6
y = 18-6 = 12
the solutions = {(6, 12)}
Simplify: 10(-5x+4) A 5x + 4 B - 50x + 4 - 50x + 40 5x + 40
Answers
Answer:
-50x+40
Step-by-step explanation:
what is 13 over 4 multiplied by 3 over 2
Answers
Answer:
so this is the correct answer right
Answer:
[tex]\frac{39}{8}[/tex]
Step-by-step explanation:
Multiply the numerators: [tex]13*3= 39[/tex]
Multiply the denominators: [tex]4*2=8[/tex]
Final answer: [tex]\frac{39}{8}[/tex]
It is in simplest form, by the way.
-4x+2=-13 solve for x
Answers
Answer:
x = 3.75
Step-by-step explanation:
-4x + 2 = -13
-4x = -13 - 2
-4x = -15
x = 3.75
Answer:
-13
Step-by-step explanation:
just think about it
A three-dimensional model of Arthur’s apartment is shown below.
A rectangular prism is shown. The base of the prism has dimensions of 13 feet by 25 feet. A rectangular prism is cut out of the side of the larger prism. The smaller prism has base dimensions of 5 feet by 11 feet.
Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.
The total volume of the apartment is
ft3.
An hourly rating of 2.5 BTUs per cubic foot is required, so
.
Arthur needs an air conditioner that will provide
BTUs to properly cool his apartment.
Answers
Answer:
The total volume of the apartment is
✔ 2,160
An hourly rating of 2.5 BTUs per cubic foot is required, so
✔ multiply the total volume by 2.5
Arthur needs an air conditioner that will provide
✔ 5,400
BTUs to properly cool his apartment.
Step-by-step explanation:
you're welcome
Answer:
2,160
multiply the total volume by 2.5
5,400 BTUs
Step-by-step explanation:
cause said so
a square garden plot has an area of 828 square feet. what is th eexact value of the one side of the garden
Answers
Answer:
B - 6sqrt(23) ft.
Step-by-step explanation:
Area = (Side)^2 = 828.
Side = sqrt(828) = sqrt(36*23) = 6 sqrt(23).
So B - 6sqrt(23) ft.
Mark me as Brainliest if this is correct! I really appreciate it! :D
What would be please help me out
Answers
Answer:
Third Choice, 1774.67π cm³
Step-by-step explanation:
Volume=(4/3)πr³
=(4/3)π×11³
=(4/3)π×1331
=1774.67π cm³
Com a entrada da Rita a classe ficou com 20 alunos a média das idades destes 20 alunos é 13,2 anos
No final da primeira semana dois alunos de 15 anos abandonaram a classe
Qual passou a ser a média
Answers
Answer:
New avaerage if 2 students (15 year old) left = 13
Step-by-step explanation:
Given:
Average age of 20 students = 13.2
Find:
New avaerage if 2 students (15 year old) left
Computtaion:
Sum of all 20 student's age = 20 x 13.2
Sum of all 20 student's age = 264
Sum of current 18 student's age = 264 - 15 - 15
Sum of current 18 student's age = 234
New avaerage if 2 students (15 year old) left = 234 / 18
New avaerage if 2 students (15 year old) left = 13
2. In Arabella's homeroom class there are 8 girls and 12 boys, including her. 2 points
One student will be randomly selected to take attendance. What is the
probability that the student will be a girl? (SIMPLIFY) *
2/5
1/2
3/5
2/3
Answers
Answer:
the probability is 2/3
Step-by-step explanation:
you want to divide 8 by 12