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3 years ago

5

Which of the following shows a number in fraction form?

1 answer:

Galina-37 [17]3 years ago

3 0

2/1 that the answer to your question

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Tyler runs 8 2/3 miles in 4/3 of an hour. How long does it take each of them to run 10 miles?

adelina 88 [10]

Answer:

It takes Tyler 65 minutes to run 10 miles.

Step-by-step explanation:

First you have to figure out what Tyler's mph is, so you divide 8 2/3 by 4/3=6.5. Then you multiply by 10 get how long it takes him to run 10 miles.

(hope this helps!)

7 0

3 years ago

The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, i

Marianna [84]

Answer:

It is given that the volume of a cone = $3\pi x^3$ cubic units

Volume of cone with radius 'r' and height 'h' = $\frac{1}{3}\pi r^2h$

Equating the given volumes, we get

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

$r^2h=3$ × $3x^3$

$r^2h=9 x^3$

It is given that the height is 'x' units.

Therefore, $r^2x=9x^3$

$r^2=9x^2$

Therefore, $r=3 x$

So, the expression ' $3 x$ ' represents the radius of the cone's base in units.

3 0

2 years ago

10. What is the measure of angle C?<br> A. 25°<br> B. 30°<br> C. 60°<br> D. 75°

Reil [10]

Answer:

D

Step-by-step explanation:

x + 5 + 3x + C = 180 All triangles have 180 degrees.

4x + 5 + C = 180

But C must be equal to 3x. Notice the markings on the lets of the triangle.

4x + 5 + 3x = 180

7x + 5 = 180 Subtract 5 from both sides

7x = 180 - 5

7x = 175

x = 25

But angle C = 3x

C = 3*25

C = 75

8 0

3 years ago

What is the probability of getting dealt a hand equal to 21?

Grace [21]

Answer:

The odds to get a blackjack (natural) as arrangement: 128 / 2652 = . 0483 = 4.83%. 4.83% is equivalent to about 1 in 21 blackjack hands.

6 0

3 years ago

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6

USPshnik [31]

LORAN follows an hyperbolic path.

The equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

The coordinates are given as:

$\mathbf{(x,y) = (-60,0)\ (60,0)}$

The center of the hyperbola is

$\mathbf{(h,k) = (0,0)}$

The distance from the center to the focal points is given as:

$\mathbf{c = 60}$

Square both sides

$\mathbf{c^2 = 3600}$

The distance from the receiver to the transmitters is given as:

$\mathbf{2a = 100}$

Divide both sides by 2

$\mathbf{a = 50}$

Square both sides

$\mathbf{a^2 = 2500}$

We have:

$\mathbf{b^2 = c^2 - a^2}$

This gives

$\mathbf{b^2 = 3600 - 2500}$

$\mathbf{b^2 = 1100}$

The equation of an hyperbola is:

$\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}$

So, we have:

$\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}$

$\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Hence, the equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Read more about hyperbolas at:

brainly.com/question/15697124

7 0

3 years ago

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