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2 years ago

If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8,6).

Mathematics

1 answer:

NeTakaya2 years ago

7 0

Answer:

(2, -8)

Step-by-step explanation:

The coordinates of M are the average of the coordinates of X and Y.

-3 = (x + -8) / 2

-1 = (y + 6) / 2

Solving:

x = 2

y = -8

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Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ

BaLLatris [955]

Answer:

$V = 11.2 cm^3$

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, $V = \frac{1}{3}\pi r^2h$

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

$C = 2\pi r$

We have C to be 5.8cm

By substituting this value;

$5.8 = 2\pi r$

Divide through by $2\pi$

$\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}$

$r = \frac{5.8}{2\pi}$

$r = \frac{2.9}{\pi}$

Now, we can calculate the volume of the cone

By substituting $r = \frac{2.9}{\pi}$ and h = 12.5 cm;

$V = \frac{1}{3}\pi r^2h$ becomes

$V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5$

$V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5$

$V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5$

Take $\pi$ as 3.14

$V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5$

$V = 11.15976$

$V = 11.2 cm^3$ ---- Approximated

Hence, the volume of the cone is; $V = 11.2 cm^3$

4 0

2 years ago

Which of these r-values represents the weakest correlation? A.-0.55 B -0.45 C -0.25 D -0.35

irakobra [83]

The smaller the magnitude of the correlation, the weaker the correlation. The magnitude of -0.25 is 0.25, the smallest correlation magnitude.

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2 years ago

Twelve of the 20 students in Ms. Sarno’s homeroom are female. Each month, Ms. Sarno randomly selects a student to act as “teache

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Answer:

C. A bag of 15 marbles , with 9 marbles representing female students, has a marble drawn 4 times with replacement

Step-by-step explanation:

i took the test and got it right ;)

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2 years ago

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The total operating costs of a monorail are paid using a combination of passenger fares and tax revenue. The farebox recovery ra

Vadim26 [7]

Answer:

0.57 or 0.56

Step-by-step explanation:

passenger fares + tax revenue = operating costs

Thus:

passenger fares = operating costs - tax revenue

= $69 million - $30 million

= $39 million

The ratio of passenger fares to total operating costs is:

$39 million

= 0.5652.

$69 million

To the nearest hundredth, the farebox recovery ratio is 0.57.

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1 year ago

A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour what is the

vlabodo [156]

<span>A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hour. What is the train’s original speed?
***
let x=original speed
x+5=increased speed
travel time=distance/speed
..
lcd:x(x+5)
150(x+5)-150x=x(x+5)
150x+750-150x=x^2+5x
x^2+5x-750=0
(x-25)(x+30)=0
x=25
What is the train’s original speed? 25 mph</span>

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2 years ago