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babymother [125]
2 years ago
8

Two airplanes leave an airport at the same time and travel in opposite directions. One plane travels 66 kmh faster than the othe

r. If the two planes are 10,716 kilometers apart after 6 hours, what is the rate of each plane
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
3 0

Answer:

  • The rate of planes: 926 km/h and 860 km/h

=========================

<h3>Given</h3>

  • Two planes travel in opposite directions,
  • One plane travels 66 km/h faster than the other,
  • The distance between the two planes after 6 hours is 10716 km.

<h3>To find</h3>

  • The rate of of each plane

<h3>Solution</h3>

The distance traveled by two planes in an hour is:

  • 10716/6 = 1786 km/h

Let the rate of one plane be x, then the other plane's rate is x - 66.

The sum of two rates is the distance traveled in one hour:

  • x + x - 66 = 1786
  • 2x - 66 = 1786
  • 2x = 1786 + 66
  • 2x = 1852
  • x = 1852/2
  • x = 926

So the rate of one plane is 926 km/h and of the other plane is:

  • 926 - 66 = 860 km/h
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I do not know how to do this! Please help me!
Andrew [12]

\qquad\qquad\huge\underline{\boxed{\sf Answer}}

Perimeter of given figure is equal to :

Perimeter of square - side length + quarter Circumference of the circle

that is :

\qquad \sf  \dashrightarrow \:(10 \times 4) - (5 + 5) +  \dfrac{2 \pi r}{4}

\qquad \sf  \dashrightarrow \:40- 10 +  \dfrac{3.14 \times 5}{2}

\qquad \sf  \dashrightarrow \:30+  \dfrac{15.7}{2}

\qquad \sf  \dashrightarrow \:30 + 7.85

\qquad \sf  \dashrightarrow \:37.85 \:  \: units

So, the required perimeter is 37.85 units

6 0
2 years ago
Can anyone help me please
Westkost [7]

Answer:

Step-by-step explanation:

Sum of external angles = 360

2x + 2x + x + 20 +x +40 = 360

6x + 60 = 360

6x = 360 - 60

6x = 300

x = 300/6

x = 50

7 0
3 years ago
A triangle has two 52° angles and one 76° angle. What kind of triangle is it?
r-ruslan [8.4K]

Answer:

Isosceles triangle

Step-by-step explanation:

There are three different kinds of triangle: equilateral, isosceles, and scalene.

-Equilateral triangles are triangles where all 3 sides and angles are the same. (First image)

-Isosceles triangles are triangles where 2 of the sides and angles are the same, while the third side and angle is different. (Second image)

-Scalene triangles are triangles where all 3 sides and angles are different. (Third image)

In the case of this triangle, two of the sides have the same 52 degree angle. They would also have the same side lengths, and <u>thus be a isosceles triangle. </u>

Hope this helps! :3

7 0
2 years ago
The cylinders are similar the volume of the larger cylinder is 1600 cubic centimeters what is the volume of the smaller cylinder
cestrela7 [59]

We are given Volume of the larger cylinder is = 1600 cubic centimeters.

Height of the larger cylinder = 16 cm.

We know formula of volume of a cylinder V=\pi r^2h, where r is the radius of cylinder,  h is the height of the cylinder.

Plugging value of V and h of larger cylinder, we get

1600=\pi r^2(16).

Dividing both sides by 16, we get

\frac{1600}{16}=\frac{\pi r^2 (16)}{16}

r^2=100

Taking square root on both sides, we get

r=10.

Therefore, radius of the larger cylinder is 10 cm.

We are given cylinders are similar .

<u>Note: The radii and heights of similiar cylinders are in same ratio.</u>

Therefore, we can setup a proportion:

Let us take radius of small cylinder is x.

\frac{x}{10}=\frac{4}{16}

\frac{x}{10}=\frac{1}{4}

Multiplying both sides by 10, we get

10 \times \frac{x}{10}=10 \times\frac{1}{4}

x=2.50.

Therefore, radius of the small cylinder = 2.5 cm.

Now, plugging radius =2.5 and height  = 4 in the formula of volume the cylinder, we get

V=\pi (2.5)^2(4)=\pi (6.25)(4) =25 \pi \ cm^3.

Therefore, correct option is 25 pi cm^3.

8 0
3 years ago
Graph the system of inequalities. Then state whether the situation is infeasible, has alternate optimal solutions, or is unbound
shtirl [24]

Answer:

x

x \leqslant  - y + 1

Steps are show in the picture above.

5 0
3 years ago
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