1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vlada [557]
3 years ago
5

How do I do this question

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0
We know that
circumference=2*pi*r
for r=65/2----> r=32.5 cm
circumference=2*pi*32.5-----> 204.1 cm
so
one revolution <span>of Emma’s bicycle</span> is equal to 204.1 cm-----> 2.041 m
3.2 km-------> 3200 m
1 revolution---------> 2.041 m
x rev------------> 3200 m
x=3200/2.041 ----> x=1567.86 revolutions

the answer is
1567 complete revolutions
You might be interested in
What are the steps for constructing a circumscribed circle for using only a compass and a straightedge?
Marta_Voda [28]
Construct the perpendicular bisector of one side of triangle
Construct the perpendicular bisector of another side
Where they cross is the center of the Circumscribed circle
Place compass on the center point, adjust its length to reach any corner of the triangle, and draw your Circumscribed circle!
4 0
3 years ago
Read 2 more answers
What product is shown by the model?​
Alla [95]

Answer:

85 i think

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
Practice test
mariarad [96]

Answer:

it's a rectangle so the area is 6×8=48

3 0
3 years ago
Read 2 more answers
Please find the DIMENSIONS not the total area of both of these rectangles! I’m giving brainliest this is very urgent. Answers wo
7nadin3 [17]

Answer:

Question:14

3x4 (for the left square, 3 on the side(width) and 4 on the bottom(length))

3x9 (for the right square, 3 on the side(width) and 4 on the bottom(length))

3x13 (for the entire rectangle)

Question:15

3x10 (for the left, 3 on the side(width) and 10 on the bottom(length))

3x6 (for the right, 3 on the side(width) and 6 on the bottom(length))

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Mari has 28 wooden cubes. She wants to stack them to form a triangle. Each row will have one fewer than the row below it. How ma
    7·2 answers
  • The Associated Press (October 9, 2002) reported that in a survey of 4722 American youngsters aged 6–19, 15% were seriously overw
    14·1 answer
  • In the diagram below, AC is perpendicular to BD. Find the value of N.
    6·1 answer
  • Need help solving..........
    6·2 answers
  • HELP ME PLEASE!!!!!! I WILL GIVE BRAINLIEST!!!!!!<br><br><br><br> Very simply btw
    15·2 answers
  • Write the equation for a line that goes through the points (0, 7) and (9, 2)
    11·1 answer
  • Find the coordinates of the midpoint of UV with endpoints U(2, −6) and V(5, 3).
    10·1 answer
  • In November 2017, the monthly profit of a company was £9,197
    6·1 answer
  • In triangle ABC, angle A measures 40º and angle B measures 60º. In triangle PQR, angle P measures 40º and angle Q measures 80º.
    5·1 answer
  • Determine the smallest integer value of x in 5x + 3 ≥ 10
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!