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3 years ago

The bases of a softball field are 60 feet apart. How far apart is home plate from second base?

1 answer:

4 0

So assuming that the field is a perfect square then

if you mean when you walk from home to 1st to 2nd then
60+60=120

if you mean the straight distance (as the crow flies) then
second base is diagonal from home base so

we have a right triangle with side legnths of 60 and 60

use pythagrorean theorem
a^2+b^2=c^2
a and b are legs and c=hypotonuse
60^2+60^2=c^2
3600+3600=c^2
7200=c^2
square root both sides
60 times√2=c

the distance from home base to second base=60√2

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I earned $100. I wish to give 15% of this to my mother. How much should I give her?

garik1379 [7]

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6 0

3 years ago

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Urgent, please i will give brainliest

Ne4ueva [31]

Answer:

1. $\frac{\sqrt{13} }{3}$

2. 3.2362

3. $\frac{60}{11}$

Step-by-step explanation:

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

By pythagorean theorem, we have the "hypotenuse" as $\sqrt{2^2+3^2}=\sqrt{13}$

Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc $\theta$ = $\frac{\sqrt{13} }{3}$ </em>

<em />

<em>First answer choice is right.</em>

<em />

By definition, Csc $\theta$ is the inverse of Sine $\theta$ . <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

$Csc\theta=\frac{1}{0.3090}\\=3.2362$

Third answer choice is right.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

$Cot\theta=\frac{60}{11}$

Third answer is right.

3 0

3 years ago

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A well mixed tank with a capacity of 1500 gals originally contains 1000 gallons of freshwater. One pipe containing 1/2 lb of sal

Illusion [34]

Answer:

400 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x

Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x

The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:

1500 = 1000 + 5x

5x = 1500 - 1000

5x = 500

x = 100 minutes.

1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb

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7 0

3 years ago

192 rounded to nearest tenth?

Andrews [41]

There is no TENTH in 192 so 192 rounded to the nearest TENTH is 192.

If you meant TEN then 192 rounded to the nearest TEN is 190.

Good Luck!

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3 years ago

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What is the unit rate of $200 for 18ft

sergejj [24]

I hope this helps you

if 18 ft 200$

1 ft ? $

?.18=200.1

?=200/18

?=11,111111

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3 years ago