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meriva
3 years ago
11

Atevery bus station, busses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in o

ne hour?
Mathematics
1 answer:
Ber [7]3 years ago
7 0
Rate of 3 every 10 minutes.

In 10 minutes there are 3 buses.

In  1 minute    it is        (3/10).     For 1 hour = 60 minutes.

For 60 minutes  =  3/10  * 60  =  18.

18 buses.
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The longest side of an isosceles right triangle measures 16m. What is the perimeter ofthe triangle?
Andreyy89

Answer:

In right triangle hypotenus(side facing angle 90)is the longest

Step-by-step explanation:

lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1

So by applying phythegoras theorem :

hyp^2=x^2+x^2

16^2 =2x^2

2x^2=256

x^2=128

\sqrt{x { }^{2} }  =  \sqrt{128}

x=

8 \sqrt{2}

Parameter=16+8

8 \sqrt{2 }  + 8 \sqrt{2 }  + 16

16 \sqrt{2}  + 16

7 0
2 years ago
plzzz help smart people, its math will mark branilyest (DONT ANSWER IF YOU DONT KNOW THIS TYPE OF MATH PLZZ SHOW WORK)
sveta [45]

Answer:

6) 15

7)5

8)120 degrees

9)60 degrees

10)9

Step-by-step explanation:

GHIJ is a parallelogram.

Opposite sides of a parallelogram are congruent.

3y - 1 = 2y + 1

3y - 2y = 1 + 1

y = 2

Opposite sides of a parallelogram are congruent.

4x + 3 = x + 12

4x - x = 12 - 3

3x = 9

x = 9/3

x = 3

6)GH = ?

GH = 4x + 3

GH = 4(3) + 3

= 12 + 3

= 15

therefore, GH = 15

7) HI = ?

HI = 2y + 1

= 2(2) + 1

= 4 +1

= 5

therefore, HI = 5

Opposite angles of a parallelogram are equal.

8) m(angle I) = 120 degrees...... (given)

therefore, measure of angle G = measure of angle I

therefore, m(angle G) = 120 degrees

Consecutive angles of a parallelogram are supplementary.

9) m(angle I) + m(angle J) = 180 degrees

120 + m (angle J) = 180

m(angle J) = 180 - 120

= 60 degrees.

The diagonals of a parallelogram bisect each other.

10) JK = 9 .........( given)

JK = HK

therefore, HK = 9

5 0
3 years ago
The radius of a sphere is 12 units. Find the volume of the sphere. Write your answer in terms of pi.
stiv31 [10]

Answer:

V = 2304π units³

Step-by-step explanation:

The volume (V) of a sphere is calculated as

V = \frac{4}{3}πr³ ( where r is the radius ) , then

V = \frac{4}{3}π × 12³

   = \frac{4}{3} π × 1728

   = 4π × 576

   = 2304π units³

5 0
2 years ago
The table shows the results from a random sample of 5 students at a high
KatRina [158]

Answer:

I think it's D

7 0
3 years ago
A basketball player stands near the middle of the court and throws the ball toward the basket.
kompoz [17]

Answer:

A function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

Step-by-step explanation:

General equation of parabola in vertex form y= a(x-h)^2+k

y represents the height

x represents horizontal distance

(h,k) is the coordinates of vertex of parabola

We are given that The  ball travels to a maximum height of 12 feet when it is a horizontal distance of 18 feet from the player's hands.

So,(h,k)=(18,12)

Substitute the value in equation

y=a(x-18)^2+12  ---1

The ball leaves the player's hands at a height of 6 feet above the ground and the distance at this time is 0

So, y = 6

So,6=a(0-18)^2+12

6=324a+12

-6=324a

\frac{-6}{324}=a

\frac{-1}{54}=a

Substitute the value in 1

So,y=\frac{-1}{54}(x-18)^2+12

Hence a function to represent the height of the ball in terms of its distance from the player's hands is y=\frac{-1}{54}(x-18)^2+12

8 0
3 years ago
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