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mixer [17]
1 year ago
15

One of the legs of a right triangle measures 13 cm and the other leg measures 7 cm. Find the measure of the hypotenuse. If neces

sary, round to the nearest tenth.
Mathematics
1 answer:
garri49 [273]1 year ago
8 0
Answer:14.8

Step-by-step:
Use the equation a^2+b^2=c^2
Plug in 13 for a and 7 for b
13^2+7^2=c^2
Multiply the number by themselves
13•13+7•7=c^2
169+49=c^2
218=c^2
Square root both side
14.76=c
Round the nearest tenth
14.8
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Two ice skaters push against each other. The skater on the left has a mass of 70.0 kg and the skater on the right has a mass of
svetoff [14.1K]

Answer:250 N

Step-by-step explanation:

Given

mass of skater on left side m_l=70\ kg

mass of skater on right side m_r=90\ kg

If the skater on the left experience a force of 250\ N

If they push against each other then they must experience  an equal force according to newtons third law

Thus F_l=F_r

Thus skater on right experience 250\ N force

4 0
3 years ago
A physicist examines 25 water samples for nitrate concentration. The mean nitrate concentration for the sample data is 0.165 cc/
xz_007 [3.2K]

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

Critical value t=1.318

Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016

The degrees of freedom for this sample size are:

df=n-1=25-1=24

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_M=1.318 \cdot 0.016=0.021

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

6 0
3 years ago
3. Is the relationship shown by the data linear? If so, model the data with an equation X | Y 1 ,5| 5,10| 9,15| 13,20|
son4ous [18]

Answer:

y=\frac{5}{4}x+\frac{15}{4}

Step-by-step explanation:

x | y

-------

1     5

5   10

9    15

13   20

This one is linear because as x goes up by the same number so does y. So the ratio of difference of y to difference of x is the same per pair of points.

So a linear equation in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

To find the slope, I'm going to line up the points vertically and subtract, then put 2nd difference over 1st difference. Like so,

( 1    ,   5)

-( 5   ,  10)

----------------

-4          -5

So the slope is 5/4 which makes sense since the y's are going up by 5 each time and the x's are going up by 4 each time.

So we have m=5/4. Let's plug that into our y=mx+b.

y=5/4 x+b

To find b, we need to use y=5/4 x+b along with one of the given points.

Choose; it doesn't matter.  I like (1,5) I guess.

y=5/4 x +b with (1,5)

5=5/4 (1)+b

5=5/4    +b

Subtract 5/4 on both sides:

5-5/4=b

20/4-5/4=b  (Found a common denominator)

15/4=b

The y-intercept is 15/4 so b=15/4.

So the equation for the line in slope-intercept form is y=5/4 x +15/4.

y=\frac{5}{4}x+\frac{15}{4}

4 0
3 years ago
Read 2 more answers
This table shows how much each type of meat costs at a local deli.
seraphim [82]
I think it’s A sorry if I’m wrong
3 0
3 years ago
Which of the following is an rational number?
Mumz [18]
C. The square root of 144
7 0
3 years ago
Read 2 more answers
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