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3 years ago

Calculate the slope. (-12,-5) and (0, -8)

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

Answer:

-1/4

Step-by-step explanation:

slope is always rise/run so

(-8)-(-5)=-3

-3/12=-1/4

the slope is -1/4

Enjoy^^

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Can someone explain to me how to do this question? It needs to be simplified and no decimals or fractions.

Masteriza [31]

$\sqrt{180} - \sqrt{45 } \\ = \sqrt{2 \times 2 \times 3 \times 3 \times 5} - \sqrt{3 \times 3 \times 5 } \\$

Taking common

$\sqrt{3 \times 3 \times 5} ( \sqrt{4} - 1) \\ = 3 \sqrt{5} (2 - 1) \\ = 3 \sqrt{5}$

Hope it helps mate

Mark Brainliest pls

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5 0

4 years ago

OBSERVATION A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to

vekshin1

Answer:

The tower is 102.26 feet tall.

Step-by-step explanation:

We have drawn the triangle for your reference.

According to the figure point 'A' is the persons eye.

Point 'B' is the bottom of the cliff.

Point 'C' is the top of the cliff.

And Point 'D' is the top of the tower.

Given,

A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff.

So from diagram we can say that;

Length of AB = 100 ft

The angle of elevation to the top of the cliff is 30°.

So from diagram we can say that;

∠CAB = 30°

the angle of elevation to the top of the tower is 58°.

So from diagram we can say that;

∠DAB = 58°

We have to find the height of the tower i.e. CD.

Solution,

In ΔCAB,

∠CAB = 30°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 30\° = \frac{BC}{100}$

Now

$tan\ 30\° = \frac{1}{\sqrt{3}}$

$\frac{1}{\sqrt{3}} = \frac{BC}{100}\\\\BC =\frac{100}{\sqrt{3}} = 57.74 \ ft$

In ΔDAB,

∠DAB = 58°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 58\° = \frac{BD}{100}$

Now

$tan\ 58\° = 1.60$

$1.60 = \frac{BD}{100}\\\\BD =100\times 1.6 = 160 \ ft$

Now BD = BC + CD

CD = BD - BC = 160 - 57.74 = 102.26 ft

Hence The tower is 102.26 feet tall.

6 0

4 years ago

On a map, the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles, what is the actual distance be

dolphi86 [110]

360 miles, I’m pretty sure

6 0

3 years ago

Which of the following is equivalent to?

horsena [70]

Answer:

Answer is 1/6

Step-by-step explanation:

${36}^{ - \frac{1}{2} } \\ = \frac{1}{ {36}^{ \frac{1}{2} } } \\ \\ = \frac{1}{ \sqrt{36} } \\ \\ = \frac{1}{6}$

3 0

3 years ago

4. Find the circumference of the circ All changes saved

Nat2105 [25]

Answer:

A. 62.8 in.

Step-by-step explanation:

Circumference of a circle = πd

Diameter (d) = 20 in.

Substitute

Circumference = π × 20

Circumference = 62.8318531

Circumference = 62.8 in. (Approximated to nearest tenth)

4 0

3 years ago