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3 years ago

8

It is 90 ft between the bases of baseball diamond. A catcher throws a baseball to the shortstop who is half-way between second a

nd third bases.
How long is his throw?

1 answer:

Hunter-Best [27]3 years ago

8 0

Answer:

127.3 ft

Step-by-step explanation:

A baseball diamond is constructed in a square shape.

The sides are 90 ft each

If a catcher throws a baseball to the shortstop who is half-way between second and third bases, the distance between the third base and the short stop = 1/2(90)

= 45 ft

length of the throw is found using Pythagoras theorem.

Hypothenus ^2 = opposite ^2 + adjacent ^2

= 90^2 + 45^2

Hypothenus = √8100 + 2025

=√10125

= 100.62 ft (approximately)

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Ab and bc form a right angle at point B. if a= (-3,-1) and B= (4,4) what is the equation of BC?

Vesnalui [34]

Answer:

Option C $-7x-5y=-48$

Step-by-step explanation:

step 1

Find the slope of AB

we have

A(-3,-1) and B(4,4)

The slope m is equal to

$m=(4+1)/(4+3)$

$m=5/7$

step 2

Find the slope of BC

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

$m1*m2=-1$

we have

$m1=5/7$

substitute

$5/7*m2=-1$

$m2=-7/5$

step 3

Find the equation of the line into slope point form

$y-y1=m(x-x1)$

we have

$m=-7/5$

$B(4,4)$

substitute

$y-4=-(7/5)(x-4)$

Multiply by 5 both sides

$5y-20=-7x+28$

$7x+5y=28+20$

$7x+5y=48$

Multiply by -1 both sides

$-7x-5y=-48$

3 0

3 years ago

Calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two type

olga55 [171]

Answer: Here's the complete question.

calculate the future value of the annuity assuming that it is (1) an ordinary annuity (2) an annuity due. Comparing the two types of annuities, all else equal, which type is more preferable? Why? Amount of annuity Interest rate Deposit period (years) $500 12% 6

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it discounts for one less year

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it discounts for one less year.

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Ordinary annuity = 4545, annuity due = 4058 , ordinary annuity is better because it compounds for one more year.

Step-by-step explanation:

Future value of ordinary annuity = Amount*[{(1+r)n – 1}/r]

= 500*[{(1.12)6 – 1}/0.12]

= $4,057.59

i.e. $4,058

Future value of annuity due = (1+r)*Future value of ordinary annuity

= 1.12*4,058

= $4,545

Hence, the answer is

Ordinary annuity = 4058, annuity due = 4545, annuity due is better because it compounds for one more year.

Since payments are made at the beginning of the year

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3 years ago

What amount of money will accumulate to $192,400 in 6 years and 11 months at the interest rate of 5.36% compounded semi-annually

MaRussiya [10]

We will have the following:

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So, the original quantity was approximately $183 293.75.

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1 year ago

Match the pairs in the picture

OverLord2011 [107]

Answer: Y=-3tan3x is $\pi /3$

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Step-by-step explanation:

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3 years ago

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mariarad [96]

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Step-by-step explanation:

Diameter of circle = 8.6 inches

Pi ( $\pi$ ) = 3.14

Circumference of circle (With diameter) = $\pi \\$ d ( $\pi$ ×diameter)

= 3.14 × 8.6

= 27.004 inches

Area of circle (With diameter) = $\pi$ $d^{2}$ /4

= 3.14 × 8.6 × 8.6 / 4

= 3.14 × 73.96 / 4

= 58.0586 inches²

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3 years ago