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2 years ago

The points in the table lie on a line. find the slope of the line.

Mathematics

1 answer:

MatroZZZ [7]2 years ago

5 0

Answer:

-7/6

Step-by-step explanation:

The slope formula can be used with any pair of points.

m = (y2 -y1)/(x2 -x1)

m = (1 -8)/(-2 -(-8)) = -7/6

The slope of the line is -7/6.

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Which cube is a unit cube?

frosja888 [35]

Answer:

C. 1 inch long, 1 inch wide, 1 inch high

Step-by-step explanation:

In this instance, unit just means a singularity in measurement

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3 years ago

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Forty five men can construct a road 210m long in 60 days. What length would be constructed by 72 men in 50 days assuming that al

blagie [28]

Answer:

280m

Step-by-step explanation:

Work rate would be (210m)/(45people)(60days)=7/90 m/(people)(day)

7/90 m/(people)(day) * 72people * 50days =280m

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2 years ago

Find the measures of the angles of the triangle whose vertices are A = (-3,0) , B = (1,3) , and C = (1,-3).A.) The measure of ∠A

alekssr [168]

Answer:

$\theta_{CAB}=128.316$

$\theta_{ABC}=25.842$

$\theta_{BCA}=25.842$

Step-by-step explanation:

A = (-3,0) , B = (1,3) , and C = (1,-3)

We're going to use the distance formula to find the length of the sides:

$r= \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

$AB= \sqrt{(-3-1)^2+(0-3)^2}=5$

$BC= \sqrt{(1-1)^2+(3-(-3))^2}=9$

$CA= \sqrt{(1-(-3))^2+(-3-0)^2}=5$

we can use the cosine law to find the angle:

it is to be noted that:

the angle CAB is opposite to the BC.

the angle ABC is opposite to the AC.

the angle BCA is opposite to the AB.

to find the CAB, we'll use:

$BC^2 = AB^2+CA^2-(AB)(CA)\cos{\theta_{CAB}}$

$\dfrac{BC^2-(AB^2+CA^2)}{-2(AB)(CA)} =\cos{\theta_{CAB}}$

$\cos{\theta_{CAB}}=\dfrac{9^2-(5^2+5^2)}{-2(5)(5)}$

$\theta_{CAB}=\arccos{-\dfrac{0.62}}$

$\theta_{CAB}=128.316$

Although we can use the same cosine law to find the other angles. but we can use sine law now too since we have one angle!

To find the angle ABC

$\dfrac{\sin{\theta_{ABC}}}{AC}=\dfrac{\sin{CAB}}{BC}$

$\sin{\theta_{ABC}}=AC\left(\dfrac{\sin{CAB}}{BC}\right)$

$\sin{\theta_{ABC}}=5\left(\dfrac{\sin{128.316}}{9}\right)$

$\theta_{ABC}=\arcsin{0.4359}\right)$

$\theta_{ABC}=25.842$

finally, we've seen that the triangle has two equal sides, AB = CA, this is an isosceles triangle. hence the angles ABC and BCA would also be the same.

$\theta_{BCA}=25.842$

this can also be checked using the fact the sum of all angles inside a triangle is 180

$\theta_{ABC}+\theta_{BCA}+\theta_{CAB}=180$

$25.842+128.316+25.842$

$180$

6 0

3 years ago

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Pls I need help with his math problem

Leno4ka [110]

Answer:

a) P = 0.08s +200

b) $488

c) $6250

Step-by-step explanation:

Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:

P = 0.08s +200

Fill in 3600 for s and do the arithmetic.

P = 0.08×3600 +200 = 288 +200 = 488

The paycheck amount will be $488.

Use the equation for part (a) and solve for P = 700.

700 = 0.08s +200

500 = 0.08s . . . . . . subtract 200

500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this

Sales would have to be $6250.

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2 years ago

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murzikaleks [220]

Tim's sample should be more accurate

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3 years ago

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