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4 years ago

What is the slope of a line passing through the points (2, 5) and (0, −4) ?

Mathematics

2 answers:

Nesterboy [21]4 years ago

5 0

I believe the answer is -4/1

Lorico [155]4 years ago

3 0

The formula for slope is y2-y1/x2-x1 so you would do -4-9/0-2 which is -9 /-2 so the slope is 4 1/2 or 4.5

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What’s the sum of the measures of the exterior angles of a 53-gon?

Ronch [10]

Option B

The sum of the measures of the exterior angles of a 53 - gon is 360 degrees

<em><u>Solution:</u></em>

The formula for sum of exterior angles "n" is:

$N = 180n-180(n-2)$

Distribute 180

$N = 180n - 180n + 360\\\\N = 360$

Therefore, sum of measure of exterior angles is 360 degrees

<h3>Sum of the measures of all the exterior angles of any polygon, irrespective of its number of sides is always 360 degrees</h3>

Thus, in a 53 gon, sum of measure of exterior angles is 360 degrees

7 0

4 years ago

A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the

velikii [3]

Answer:

$\theta=cos^{-1}(\frac{2}{3})$

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

$\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}$

$\times =2\hat{i}-\hat{j}+2\hat{k}$

Now, we are finding the angle between $\times$ and vertical vector <0,0,1>

Angle between two vectors formula

$cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }$

Now, using this formula

$cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}$

$\theta=cos^{-1}(\frac{2}{3})$

Hence, the tower deviate from the vertical by the angle $\theta=cos^{-1}(\frac{2}{3})$

6 0

3 years ago

music store bought a CD set at a cost of $10. When the store sold the CD set, the percent markup was 10%. Find the selling pr

dolphi86 [110]

Answer:

Step-by-step explanation:

10 percent of 10 is 1 so add that to 10 and you have your price

7 0

3 years ago

Need help fast please!

Rus_ich [418]

Answer:

A= -3/7; B= -2/8; C= -0.2

6 0

3 years ago

In the town of Clover, 3 out of 5 citizens who are eligible to vote did so in the fall election. Determine the number of citizen

Whitepunk [10]

Answer:

108

Step-by-step explanation:

Because 3/5(180) is 108!

7 0

3 years ago

Read 2 more answers