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2 years ago

15

A baseball diamond is a square with 90 foot sides. What is the length from 3rd base to 1st base? Round to the nearest tenth.

1 answer:

FrozenT [24]2 years ago

8 0

The given value which is 90 foot sides represents the measurement of one side of the baseball diamond. The length from the 3rd base to 1st base is the diagonal of the square. The formula would be as follows:

diagonal = √s^2 + s^2
diagonal = s√2
diagonal = (90)√2
diagonal = 127.28 ft <------- OPTION C

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{3x=7y=5<br> {5x-2y=-19

Anton [14]

Answer:

(-3, 2)

Step-by-step explanation:

{3x=7y=5

{5x-2y=-19

solve....

maybe it was 3x + 7y = 5

and 5x - 2y = -19

2*(3x + 7y = 5)

7*(5x - 2y = -19)

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y = ...

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2 years ago

At which points are the equations y = x- + 3x + 2 and y = 2x + 3 approximately equal?

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Select all the correct locations on the graph. At which points are the equations y = x2 + 3x + 2 and y = 2x + 3 approximately equal? 2.

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2 years ago

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Select the two values of x that are roots of this equation 3x^2 + 1 =5x

Zina [86]

Answer:

x = 1.434 and x=0.232

Step-by-step explanation:

To find the root of the equation stated above we need to:

(1) Write the polynomial equation with zero on the right hand side:

$3x^{2} + 1 = 5x$ ⇒ $3x^{2} -5x + 1 = 0$

(2) Divide the whole equation by 3

$3x^{2} -5x + 1 = 0$ ⇒ $x^{2} -\frac{5}{3}x + \frac{1}{3}= 0$

(3) Use the quadratic formula to solve the quadratic equation:

The quadratic formula states that the two solutions for a quadratic equation is given by:

$\frac{-b±\sqrt{b^{2} - 4ac}}{2a}$ (1)

In this case, a = 1, b = $-\frac{5}{3}, c= \frac{1}{3}$

Substituiting a, b and c in equation (1) We get:

$\frac{-\frac{5}{3}±\sqrt{(-\frac{5}{3})^{2} - 4(1)(\frac{1}{3})}}{2(1)}$ (1)

The two solutions are:

x = 1.434 and x=0.232

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2 years ago

There are two cubes, one smaller than the other. The two cubes combined has a volume of 118.125in. Find the side length of each

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Step-by-step explanation:

let the big cube side be b

small cube side be s

s = 2/3 * b

bv + sv = 118.125

b^3 + 8/9 b^3= 118.125

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2 years ago

5 grams = <br> centigrams

ycow [4]

Answer:

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Step-by-step explanation:

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