Ask question

Ask question

All categories

3 years ago

6

A basketball diamond is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catche

r, at home plate, throw to get the runner "out"?

1 answer:

Tpy6a [65]3 years ago

4 0

Answer:

127.28 feet

Step-by-step explanation:

Given

Shape of basketball diamond = Square

Length of a side = 90 feet

If the length of a side is 90 feet then the length of other sides is 90 feet.

By finding how far the catcher, at home plate, throw to get the runner "out", we are basically finding the distance from 2nd base to home

This means we're calculating the diagonal of the field..

(Since the field is a square, it has a right angle at 1st base)

Let the diagonal be representing by x.

From Pythagoras,

x² = 90² + 90²

x² = 8100 + 8100

x² = 16200

x = √16200

x = 127.2792206135785

x = 127.28 feet ------ Approximated

You might be interested in

Write a quadratic function f whose only zero is −10.

Radda [10]

function is: f(x)=(x+10)^2

4 0

3 years ago

Li Ping says a square with 3 inch sides has greater area than a parallelogram that is not a square but has sides that have the s

Kipish [7]

Answer:

Li Ping's statement makes sense.

Step-by-step explanation:

The area of a square with side lengths a inches is given by, $A_1 = a^{2}$ .

Now, the area of a parallelogram with equal sides a inches, which is not a square is given by, $A_2 = ah$ , where, h is the perpendicular distance between the opposite sides.

See the diagram attached.

Since a is the hypotenuse of as right triangle with height h, hence, a > h.

So, $A_1 > A_2$

Therefore, Li Ping's statement makes sense. (Answer)

8 0

3 years ago

In the diagram mz3= x+ 30 and mz4 =2x-80. What is the measure of angle 3?

Andreas93 [3]

Given:

Consider the below figure attached with this question.

$m\angle 3=(x+30)^\circ$ and $m\angle 4=(2x-80)^\circ$ .

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

$m\angle 3=m\angle 4$

$(x+30)^\circ=(2x-80)^\circ$

$x+30=2x-80$

$x-2x=-30-80$

$-x=-110$

$x=110$

Now,

$m\angle 3=(110+30)^\circ$

$m\angle 3=140^\circ$

Therefore, the measure of angle 3 is 140 degrees.

6 0

3 years ago

On the board, your teacher shows an example of finding the range.

Paladinen [302]

Answer:

I think answer is B or C or D

Step-by-step explanation:

3 0

3 years ago

If f(1) = 10 and f(n) = f(n = 1) – 4 then find the value of f(5).

svetoff [14.1K]

Given:

$f(1)=10$ and $f(n)=f(n-1)-4$ .

To find:

The value of f(5).

Solution:

We have,

$f(n)=f(n-1)-4$

For $n=2$ ,

$f(2)=f(2-1)-4$

$f(2)=f(1)-4$

$f(2)=10-4$

$f(2)=6$

For $n=3$ ,

$f(3)=f(3-1)-4$

$f(3)=f(2)-4$

$f(3)=6-4$

$f(3)=2$

For $n=4$ ,

$f(4)=f(4-1)-4$

$f(4)=f(3)-4$

$f(4)=2-4$

$f(4)=-2$

For $n=5$ ,

$f(5)=f(5-1)-4$

$f(5)=f(4)-4$

$f(5)=-2-4$

$f(5)=-6$

Therefore, the value of $f(5)$ is $-6$ .

5 0

3 years ago