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2 years ago

What is the slope of a trend line that passes through the points (5,80) and (7,65)?

Mathematics

1 answer:

umka21 [38]2 years ago

5 0

Answer:

Step-by-step explanation:

the slope would be -15/2

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Help...please?? Thanks guys

vfiekz [6]

Answer:

x=20

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse.

The legs are x and 15 and the hypotenuse is 25

x^2 + 15^2 = 25^2

x^2 +225 = 625

Subtract 225 from each side

x^2 +225-225 = 625-225

x^2 = 400

Take the square root of each side

sqrt(x^2) = sqrt(400)

x = 20

4 0

3 years ago

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What is the greatest common faactor of 72 and 40

rusak2 [61]

8×9＝72
5×8＝40
So the answer is 8

4 0

3 years ago

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Find the area of the given triangle to the nearest square unit. Angle a= 30 degrees, b=10, angle B=45 degrees

storchak [24]

Answer:

$A=34\ units^2$

Step-by-step explanation:

Suppose we have a general triangle like the one shown in the figure.

We know the angle A, the angle B and the length b.

$A = 30\°\\\\B = 45\°\\\\b = 10$

By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.

$A + B + C = 180\\\\30 + 45 + C = 180$

We solve the equation and thus we find the angle C.

$C = 180 - 30-45\\\\C = 105$

We already know the three triangle angles.

Now we use the sine theorem to calculate the sides c and a.

The sine theorem says that:

$\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}$

Then

$\frac{sin(30)}{a}=\frac{sin(45)}{10}$

$\frac{sin(30)}{\frac{sin(45)}{10}}=a$

$a=7.071$

Also

$\frac{sin(105)}{c}=\frac{sin(45)}{10}$

$\frac{sin(105)}{\frac{sin(45)}{10}}=c$

$c=13.660$

Finally, we use the Heron formula to calculate the triangle area

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where s is:

$s=\frac{a+b+c}{2}$

Therefore

$s=\frac{7.071+10+13.660}{2}$

$s=15.37$

$A=\sqrt{15.37(15.37-7.071)(15.37-10)(15.37-13.66)}$

$A=34\ units^2$

3 0

2 years ago

Are 3(h+4) and 3h + 12 equivalent? Explain using the table from Question 4.

Kruka [31]

Yes because once you distribute the 3 in the first equation it turns it into 3h+12

6 0

2 years ago

Are the ratios 3:5 and 2:4 equivalent?<br> yes or no

jeyben [28]

Answer:

No, they are not.

Step-by-step explanation:

A ratio can be written as a fraction. So 3:5 is the same as 3/5 and 2:4 is the same as 2/4.

3/5 = 2/4

0.6 = 0.5 INCORRECT

As you can see, the both don't equal the same numbers, so they aren't equivalent.

4 0

2 years ago

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