How far will a skier travel in 2 1/2 minutes? Explain how you figured it out.
Answers
The distance traveled by the skier traveled in 2 1/2 minutes is A = 2,700 m
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
Let the distance traveled by the skier in 4 seconds = 72 m
And , let the distance traveled by the skier in 2 1/2 minutes = A
where 2 1/2 minutes = 150 seconds
Now , the proportion is
A / 150 = 72 / 4
Multiply by 150 on both sides , we get
A = ( 150 x 72 ) / 4
On simplifying , we get
A = 2,700 meters
Therefore , the value of A is 2,700 meters
Hence , the distance is 2,700 m
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Related Questions
1) The amount of strawberries grown and the price per pound.
What is the independent and dependent variable?
Answers
Answer:
Independent: ammount of strawberries ground
Dependent: price per pound
Step-by-step explanation:
Dependent=price per pound
Answer please ASAP (middle school) (probability)
Answers
What is the volume of the figure below, in cubic centimeters?
2 rectangular prisms. One prism has a length of 16 centimeters, width of 6 centimeters, and height of 2 centimeters. The other prism has a length of 15 centimeters, width of 6 centimeters, and height of 30 centimeters.
A.) 2,700
B.) 2,712
C.) 2,892
D.) 3,072
Answers
The large cube is representing: 16*16*32= 8192cm
And the small cube is representing: 16*6*2= 72cm
length(cm) × width(cm) × height(cm) = cubic centimeters(cm³)
&
length(mm) × width(mm) × height(mm) ÷ 1000 = cubic centimeters(cm³)
So, answer would be 2,712.
Answer: B
HELLLLP!!!!! Seriosuly
Answers
Answer:
D
Step-by-step explanation:
When you divide a negative by a negative you get a positive
Answer:
-27
Step-by-step explanation:
100 points t who answers first and if answered right u will get brainiest ok
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
⦁ If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning. (2 points)
⦁ Calculate the area of the red triangle to find the area of the garden. Show your work. (2 points)
⦁ Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle? (2 points)
⦁ The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain. (2 points)
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning. (2 points)
Step 2: Finding distance on the coordinate grid
⦁ This is a blueprint drawing of the stage area at Millennium Park. The length of one square on the grid is equal to 5 feet. According to the blueprint, the length of the diagonal of square C is 60 feet. Is that correct? Explain. (2 points).
b) If the blueprint is drawn on the coordinate plane with vertices (1, 5) and (11, 15) for the corners labeled with red stars, would that be an accurate representation of the length of the diagonal of the square C? Show your work and explain your reasoning. (4 points—2 points for finding the length of the diagonal; 2 points for explanation)
Step 3: Using the Pythagorean theorem to find the unknown
At another park in Chicago, neighbors get together to plan a community garden. Plans for the community garden are shown below.
a) The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points—1 point for each length calculation and 1 point for the total distance)
⦁ Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)
⦁ The group is planning to build a fence around the garden. How many yards of fencing materials do they need for the fence? Show your work. (3 points—2 points for finding the value of side b and 1 point for finding the perimeter of the garden)
Answers
Answer:
side c = 150 feet of flowers
Area = 5400 feet squared
concert question:
The converse of the Pythagorean theorem can help you determine whether the roped off area is in the shape of a right triangle because you use the side lengths of each square and enter them into the equation, and if the equation is true, then it is a right triangle
Concession stand question:
The school banner can fit across the length of the concession stand
the following information is missing
The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.
The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of square A is:
diagonal² = 30² + 30²
diagonal = √1800 = 42.43 ft
which is longer than the banner.
Blueprint question:
No, diagonal of square C is 70.71ft
2nd blueprint question:
50 square root 2
Gardening group:
50.24 yards
The work of a student to find the dimensions of a rectangle of area 6 + 8x and width 2 is shown below: Step 1: 6 + 8x Step 2: 2(4) + 2(6x) Step 3: 2(4 + 6x) Step 4: Dimensions of the rectangle are 2 and 4 + 6x In which step did the student first make an error and what is the correct step? (1 point) Question 14 options: 1) Step 3; 2 + (4 + 6x) 2) Step 3; 2 + (4 ⋅ 6x) 3) Step 2; 2(4) + 2(4x) 4) Step 2; 2(3) + 2(4x)
Answers
Step-by-step explanation:
Hello,A=IxwStep 1:6+8xStep 2:2(3)+2(4x)Step 3:2(3+4x)Step 4:The dimension of the rectangle are 2 and 3+4x. As a result, Students makes the mistake at Step 2; 2(3)+2(4x). Hope it help!Answer: (4)
Step-by-step explanation:
At step 2 the student rewrites 6 as 2*(4), and 8x as 2*(6x). This is incireect, since 2*(4) is actually 8, and 2*(6x) is 12x.
The correct way to do it is to rewrite 6 as 2*(3), and rewrite 8x as 2*(4x), which corresponds to the answer option (4)
Which of the following measurements could be the side lengths of a right triangle?
A. √44 in, √8 in, √40 in
B. √56 in, √24 in, √28 in
C. √36 in, √24 in, √64 in
D.√32 in,√8 in, √40 in
Answers
What is the volume of the carton?
Geometry
Answers
Step-by-step explanation:
V= 1/2 * 2 * 7 * 1,5
V=10,50 in.
Plss answer this no links and no inappropriate answers please i’ll give branliest i relly don’t understand this tysm
Answers
Whats the supplementary angle of 109 degrees.
Answers
Answer:
Answer is 71°
Step-by-step explanation:
Two angles are said to be
supplementary angles if their
sum is 180°.
******************************************
one angle ( x ) = 109°
Let the second angle = y
x + y = 180°
=> y = 180° - x
=> y = 180° - 109°
=> y = 71°
So,
Supplementary angle of 109° should be 71°
I hope this helps
Have a great day <3
Lamar needs to read 5 novels each month.
Let 'N' be the number of novels Lamar needs to read in 'M months.
Write an equation relating 'N' to 'M'. Then use this equation to find the number of novels Lamar needs to read in 11 months.
Answers
the number of books = 5 books per month
n = 5(11)
n = 55
Plz help me ASAP Thxs
Answers
Answer: 13
Step-by-step explanation:
I need help with understanding these, if you could put (at least half of) the answers with a slight explanation it would help A LOT!!!!
Answers
Answer:
khan videos
Step-by-step explanation:
hi, i recommend to look at khan academy's videos, they are free and you can learn a lot from it. good luck with your math!
Answer: x(x-4)+2(x-4)=0 The answer is
=4
= −2
Step-by-step explanation:
Distribute, Then Cobine the like terms, Then you get your solution
(i would go further into explanation but its kinda hard to explain)
PLS HELP, WILL REWARD BRAINLIEST !!
Answers
PLEASE HELP ME!!!!! THIS IS TIMED PLEASE HELP!!
Directions: Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
The points are (4,5) and (7,1)
Answers
Answer:
20 I think I hope it is correct
Answer and explain how you did it for brainest and 15 points.
Answers
Answer: 28 in
Step-by-step explanation:
To find the perimeter we need to add all the sides
4 in + 6 in + 5 in + 6 in + 2 in + 5 in
28 in
Need asap
angle BGH=60 degrees
Answers
Answer:
120 degrees
Step-by-step explanation:
the are across from each other so they would equal the same
How many solutions are there to this system of equations? On a coordinate plane, 2 lines have equations y = one-fourth (x minus 4) and y = one-fourth x minus 1.
a. one solution
b. no solution
c. infinitely many solutions
d. it cannot be determined without solving
Answers
Answer:
b. no solution
Step-by-step explanation:
y=1/4x-4
y=1/4x-1
This pair of equations has the same slope, meaning that they are parallel lines. Parallel lines never intersect so there is no result of solving this system of equations. Therefore, the correct answer would be b, that this system of equations has no solution.
Answer:
NO solution
Step-by-step explanation:
;)
Natalie is shopping for new clothes and does not want to spend more than $65.
She buys one dress for $26
and wants to buy a few shirts that cost $13
each.
Which inequality represents the number of shirts she can buy?
A. x≤3
B. x≤7
C. x≥7
D. x≥3
Answers
2(n + 17) /8 = 3/8
PLS HELP I WILL GIVE BRAINLY!
Answers
*Answer:*
n = -31/2 ( - means minus btw )
Step-by-step explanation:
Cancel terms that are in both the numerator and denominator
then Multiply all terms by the same value to eliminate fraction denominators
then you Cancel multiplied terms that are in the denominator
Multiply the numbers
Subtract
17 from both sides of the equation
Venus is approximately 6.7 × 107 miles from the Sun. If the speed of light is approximately 1.86 × 105 miles per second, about how many seconds does it take light from the Sun to reach Venus?
Can someone help me....
???
Answers
Answer 66,814000 or 6.6814x10 exponent of 7
Step-by-step explanation:
To get the answer you have to subtract 6.7x10exponent of 7 by 1.86x10 exponent of 5
6.0 minutes taken by light from the Sun to reach Venus
What is distance formula?distance = speed × time. time = distance ÷ speed.
given that:
Venus is approximately 6.7 × 107 miles from the Sun.
speed of light 1.86 × 105 miles per second.
Now, time taken by Venus to reach sun
= 67000000/186000
= 360.21 seconds
=6.0 minutes.
Hence, the time taken to reach by the sun to sun is 6 minutes.
Learn more about this concept here:
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A scale model of the front view of Tony’s house is shown. What is the minimum amount of paint needed for two coats?
A. 594 square centimeters
B. 297 square centimeters
C. 216 square centimeters
D. 81 square centimeters
Answers
Answer:
594 square centimeters
The minimum amount of paint needed for two coats will be 297 square centimeters. Then the correct option is B.
What is the area?Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.
The shape is a combination of the rectangle and the triangle. Then the area of the shape is calculated as,
A = 1/2 x 18 x 9 + 18 x 12
A = 81 + 216
A = 297 square centimeters
The minimum amount of paint needed for two coats will be 297 square centimeters. Then the correct option is B.
More about the area link is given below.
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What does asmr mean!?
Answers
Answer:
Autonomous sensory meridian response
Step-by-step explanation:
pretty much it is just a reaction you would have based on hearing or feeling something
0.2 ( 10 - 5c ) = 5c - 16
Answers
Answer: c = 3
Step-by-step explanation: Distribute 0.2 to (10-5c)
2-1c=5c-16
Then subtract 2 on both sides and subtract the 5c.
-1c=5c-18
-6c=-18
Then divide -6 to -18
-18/-6 = 3
Devon's uncle built for him a cube-shaped toy box. The box has a volume of 25 cubic feet. Devon wants to place the toy box against a wall and under a shelf that is 36 inches above the ground. Will the toy box fit? Explain your reasoning.
Answers
Answer:
a
Step-by-step explanation:
a)
(b)
(c)
Step-by-step explanation:
we are given
length is x+1
width is x+3
height is x-3
(a)
we can use volume formula
now, we can plug it
now, we can simplify it
(b)
we are given volume =1001
so, we can set V=1001
and then we can solve for x
now, we can factor it
(b)
we are given volume
so, we can set
and then we can solve for x
now, we can factor it
I keep getting the same answer, please give an explanation and answer
I put (4/3) (3.14) <(which is the pie sign) (18^3) and I got 24429.
I don't see any answer choices
Answers
Answer: 3052 ft^3
Step-by-step explanation: The radius is not 18, it's 9. 18 is the diameter. Hope this helped you!
Please ACTUALLY answer!! And show work
Answers
Answer:
The y intercept is kinda in the middle but if it was approximate then probably 4 and the equation would be y= 1x +4
Step-by-step explanation:
The y intercept is 4 because that where the line hits on the y axis and the x would be 1 because it goes up one and over one to the next dot. If i were to guess i think how many months for 13 matches it might be around 3 but sry if that's not right
A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the model? Select all that apply. A. P(green) = 27 2 7 , P(yellow) = 27 2 7 B. P(green) = 38 3 8 , P(yellow) = 18 1 8 C. P(green) = 14 1 4 , P(yellow) = 14 1 4 D. P(green) = 521 5 21 , P(yellow) = 1121 11 21 E. P(green) = 37 3 7 , P(yellow) = 114 1 14
Answers
Answer:
[tex](b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}[/tex]
[tex](c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]P(Red) = \frac{2}{7}[/tex]
[tex]P(Blue) = \frac{3}{14}[/tex]
Required
Which completes the model
Let the remaining probability be x.
Such that:
[tex]P(Red) + P(Blue) + x = 1[/tex]
Make x the subject
[tex]x = 1 - P(Red) - P(Blue)[/tex]
So, we have:
[tex]x = 1 - \frac{2}{7} - \frac{3}{14}[/tex]
Solve
[tex]x = \frac{14 - 4 - 3}{14}[/tex]
[tex]x = \frac{7}{14}[/tex]
[tex]x = \frac{1}{2}[/tex]
This mean that the remaining model must add up to 1/2
[tex](a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}[/tex]
[tex]P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}[/tex]
Take LCM
[tex]P(Green) + P(Yellow)= \frac{2+2}{7}[/tex]
[tex]P(Green) + P(Yellow)= \frac{4}{7}[/tex]
This is false because: [tex]\frac{4}{7} \ne \frac{1}{2}[/tex]
[tex](b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}[/tex]
[tex]P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}[/tex]
Take LCM
[tex]P(Green) + P(Yellow)= \frac{3+1}{8}[/tex]
[tex]P(Green) + P(Yellow)= \frac{4}{8}[/tex]
[tex]P(Green) + P(Yellow)= \frac{1}{2}[/tex]
This is true
[tex](c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}[/tex]
[tex]P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}[/tex]
Take LCM
[tex]P(Green) + P(Yellow)= \frac{1+1}{4}[/tex]
[tex]P(Green) + P(Yellow)= \frac{2}{4}[/tex]
[tex]P(Green) + P(Yellow)= \frac{1}{2}[/tex]
This is true
Other options are also false
Answer:
B and C
Step-by-step explanation:
i jus took le test
A rhombus has sides 10 cm long and an angle of 60°. Find the diagonals of the rhombus.
Answers
Since all the sides are equal, the altitude is
10 sin60° = 5√3
To see this, draw the rhombus ABCD and drop an altitude from D to AB. Now you have a right triangle with hypotenuse=10 and base angle=60°
PLEASE HELP
Ten rabbits are put in an enclosed wildlife ranch and the rabbit population triples each year, as shown in the table.
Year Rabbit Population
0 10
1 30
2 90
3 270
4 810
5 2,430
Complete each of the 2 activities for this Task.
Activity 1 of 2
Write an equation where y represents the number of rabbits in x years.
Activity 2 of 2
A second population of 10 rabbits is placed in a second enclosed wildlife ranch and doubles each year.
Select all statements that are TRUE when comparing the equation of the second group of rabbits to the first group.
A.
The base of the exponent will change from 3 to 2.
B.
The function will become quadratic.
C.
The y-intercept will change.
D.
The second population will increase less rapidly.
Answers
Answer:
C
Step-by-step explanation:
First, we have to find the equation that will give the rabbit population as a function of time and the initial population.
The equation we need turns out to be Population = a0 x 3y where a0 is the initial population and y is the number of years,
To find the rabbit population when a0 = 30 and y =3, use the equation to get Population = 30 x 33 = 810.
You can now find the difference in the number of rabbits at year 3 for the different starting populations.