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4 years ago

I’m confused on this one

Mathematics

1 answer:

tatyana61 [14]4 years ago

7 0

$6\sqrt2$

Why?

We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

$h^2=6^2+6^2\\\\h^2=36+36\\\\h^2=36\cdot2\to h=\sqrt{36\cdot2}\\\\h=\sqrt{36}\cdot\sqrt2\\\\h=6\sqrt2$

In general, the formula for calculating the hypotenuse in an isosceles right triangle is $h=a\sqrt2$

a - a leg, h - a hypotenuse

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What is the unit rate for 501.9 mi in 21 h?

Tomtit [17]

Answer:

23.9 miles per hour

Step-by-step explanation:

We are trying to find miles per hour

501.9 mi / 21 h = 23.9 miles per hour

We can go 23.9 miles in 1 hour

5 0

4 years ago

A rectangular dartboard has an area of 648 square centimeters. The triangular part of the dartboard has an area of 162 square ce

Alex73 [517]

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

the probability is equal to

P=size of the event space/size of the sample space

In this problem

size of the sample size=area of the rectangular dartboard= $648\ cm^{2}$

size of the event space=area of the triangular part= $162\ cm^{2}$

$P=\frac{162}{648}=0.25$

Convert to percentage

$P=0.25*100=25\%$

therefore

the answer is

$25\%$

6 0

3 years ago

Read 2 more answers

Mya scored the following points in four basketball games: 16, 24, 32, and 22. To be a future WNBA #1 pick, like the NY Liberty's

Andrew [12]

Answer:

The least amount of points Mya must score to meet her goal is 31.

Step-by-step explanation:

The average of a data set is the a single, distinct value that represents the entire data.

The formula to compute average is:

$\bar X=\frac{1}{n}\sum X$

It is provided that Mya's scores in 4 basket ball games were,

S = {16, 24, 32 and 22}

Mya wants to score an average of more than 25 points per game after her fifth game.

Let the score of her fifth game be denoted by a.

The average of all the score must be more than or equal to 25 points.

Compute the value of a as follows:

$\bar X\geq 25\\$

$\frac{1}{5}\times [16+24+32+22+a]\geq 25$

$94+a\geq 125\\$

$a\geq 125-94\\a\geq 31$

Thus, the least amount of points Mya must score to meet her goal is 31.

5 0

3 years ago

Can someone help me with this

rusak2 [61]

Hello There!

First let me say this. I did not like how this question was worded I am a tutor in math and I had to read this problem over and over 5 times. It was confusing but I managed to figure it out. The answer is 61%

My work is shown on paper

4 0

3 years ago

Which of the following is equal to the rational expression when x ≠ -4 or 16

melomori [17]

Answer:

Step-by-step explanation:

(x^(2)-16)/((x-16)(x+4))=

[(x+4)(x-4)]/(x-16)(x+4)=

x-4/x-16

6 0

3 years ago

Read 2 more answers