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Darina [25.2K]
3 years ago
6

Help me please with this problem

Mathematics
1 answer:
german3 years ago
7 0
Find the slope of t
m = (y2 - y1)/(x2 - x1)
(x2,y2) = (13,13)
(x1,y1) = (37,18)

m = (13 - 18)/(13 - 37)
m = -5 / -24
m = 5 / 24 = 0.208 <<<< answer
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Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
lbvjy [14]

Answer:

Area=36.66 cm^2

Step-by-step explanation:

First, you need the height.

Use the Pythagorean theorem:

hypotenuse^2=height^2+(1/2 base)^2  

It's one-half base because it's an equilateral triangle.

1/2 base =4.6

(9.2)^2-4.6^2=height^2

84.64-21.16=height^2

height^2=63.48

height=7.97

Area=(1/2)(base)(height)

Area=(1/2)(9.2)(7.97)=36.66 cm^2

3 0
3 years ago
Find the midpoint of the segment with the given endpoints.
andrew-mc [135]
To solve for the midpoint of the segment we use the equation that is given as:

(x1 + x2 / 2) , (y1 + y2 / 2)

For the points given,

(x1 + x2 / 2) , (y1 + y2 / 2)
(3+ 2 / 2) , (-5 + 9 / 2)
(5/2 , 2) or (2.5 , 2)

Hope this answers the question. Have a nice day. Feel free to ask more questions.
7 0
3 years ago
Read 2 more answers
Fedrick salary varies directly with hour he works last week he earned 328.30 and worked 33.5 hours if he works this week what wi
stiks02 [169]

Answer:

m

Step-by-step explanation:

8 0
4 years ago
In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of .3
Serggg [28]

Answer:

The correct option is (C) (2.769, 3.231).

Step-by-step explanation:

The confidence interval for mean when the standard deviation is not known is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}

Given:

\bar x = 3\\s=0.3\\n=9\\\alpha =1-0.95=0.05

Compute the critical value as follows:

t_{\alpha/2, (n-1)}=t_{0.05/2, (9-1)}=t_{0.025, 8}=2.31

**Use a <em>t</em>-table.

The 95% confidence interval for true mean length of the bolt is:

CI=\bar x\pm t_{\alpha/2, (n-1)}\frac{s}{\sqrt{n}}\\=3\pm 2.31\times \frac{0.30}{\sqrt{9}}\\ =3\pm 0.231\\=(2.769, 3.231)

Thus, the 95% confidence interval for true mean length of the bolt is (2.769, 3.231).

The correct option is (C).

7 0
3 years ago
Which of the following statements describes the absolute value of a number "a"?
Softa [21]
This is a tricky question as for me. But I think, I'd go with <span>C) The distance from the number "a" to 0 on a number line can be represented by the absolute value of a number "a." As it's sounds better in practical way.</span>
5 0
4 years ago
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