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3 years ago

Gary Foshee created a popular probability puzzle that goes like this: "I have two children. One is a boy born on a Tuesday. What

Mathematics

1 answer:

GrogVix [38]3 years ago

8 0

Answer:

wendsday and thursaday

Step-by-step explanation:

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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y

kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

The formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

step 1

Find the distance AB

substitute in the formula

$d=\sqrt{(5-2)^{2}+(2-0)^{2}}$

$d=\sqrt{(3)^{2}+(2)^{2}}$

$dAB=\sqrt{13}\ units$

step 2

Find the distance BC

substitute in the formula

$d=\sqrt{(7-5)^{2}+(-1-2)^{2}}$

$d=\sqrt{(2)^{2}+(-3)^{2}}$

$dBC=\sqrt{13}\ units$

step 3

Find the distance AC

substitute in the formula

$d=\sqrt{(7-2)^{2}+(-1-0)^{2}}$

$d=\sqrt{(5)^{2}+(-1)^{2}}$

$dAC=\sqrt{26}\ units$

step 4

Compare the length sides

$dAB=\sqrt{13}\ units$

$dBC=\sqrt{13}\ units$

$dAC=\sqrt{26}\ units$

$dAB=dBC$

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

$(AC)^{2} =(AB)^{2}+(BC)^{2}$

substitute

$(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}$

$26=13+13$

$26=26$ -----> is true

therefore

Is an isosceles right triangle

8 0

3 years ago

What is 89,659 rounded to the nearest hundred thousand

Novay_Z [31]

$89.659 \to \boxed{90.000}$

7 0

3 years ago

Read 2 more answers

If f(x)=2x-4, what would be the answer if f(3)-1??

Vinil7 [7]

Answer:

Step-by-step explanation:

We have the function

$f(x) = 2x - 4$

and we want to know the value of $f(3) - 1$ .

The first step is to find $f(3)$ ; we can subtract 1 from it at the end! But what does $f(3)$ mean?

Basically, we're saying <em>"what is the value of the function when </em> $x = 3$ <em> ?"</em>

So, we simply replace $x$ with 3 in the function, and we get:

$f(3) = 2\times 3 - 4 = 2$ .

Finally, we subtract 1 to find $f(3) - 1 = 1$ .

3 0

3 years ago

Sally’s dance school had 60 students last year. This year there are only 48 students enrolled. By what percent did the enrollmen

Morgarella [4.7K]

Answer:

-20%

My brain is weird on how i figure it out but I divided 48 by 60 and got .80 so i just got the other whole to make it 1 so it is 20%. This is not the correct way to do this but this is how i got my answer.

8 0

3 years ago

250 calls in 10 hours = _ calls in 15 hours

ipn [44]

250 calls in 10 hours = 375 in 15 hours

5 0

3 years ago

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