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3 years ago

Which number is between 1/2 and 8/9? A- 1/3 B- 7/24 C- 19/24 D- 22/24

Mathematics

1 answer:

irina1246 [14]3 years ago

7 0

1/2=36/72
8/9=64/72

A. 1/3=24/72
B. 7/24=21/72
☆☆☆☆☆☆☆☆☆C. 19/24=57/72
D. 22/24=66/24

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A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know $\frac{dx}{dt}=31 ft/s$ and we want $\frac{dD}{dt}$ when he is halfway (at x = 45).

Using Pythagoras theorem

$D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}$

When x=45

$D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}$

$2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s$

Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.

4 0

3 years ago

Find the area of the triangle below

Vitek1552 [10]

Answer:

Step-by-step explanation:

9.9 times 4.4 divide by two

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2 years ago

Please help me with this

sveticcg [70]

Answer:

$\frac{17}{8} + \frac{5}{3} = \frac{51 + 40}{24} = \frac{91}{24}$

hope it can help u~~

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3 years ago

The legth of a rectangle is the same as the legth of each side of a square. The legth rectangle is 4 cm more than 3 times the wi

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Let, length and breadth of rectangle is L and B respectively.

It is given that :

The length rectangle is 4 cm more than 3 times the width of the rectangle.

L = 3B + 4 ......1 )

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L² = LB + 66

Putting value of L from

L² = ( 3B + 4 )( B ) + 66

L² = 3B² + 4B + 66

( 3B + 4 )² = 3B² + 4B + 66

9B² + 16 + 24B = 3B² + 4B + 66

6B² + 20B - 50 = 0

3B² + 10B - 25 = 0

3B² + 15B - 5B -25 = 0

3B( B + 5 ) -5( B + 5 ) = 0

B = 5/3 units

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Hence, this is the required solution.

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3 years ago

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Tamiku [17]

Answer:

Answer:

x=−24

Step-by-step explanation:

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