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3 years ago

Anybody know the answer?

Mathematics

1 answer:

mixas84 [53]3 years ago

8 0

In a circle, the measure of an inscribed angle is half the measure of the intercepted arc ⇒ x = 40/2 = 20°

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A 10 ft pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 degree an

mr Goodwill [35]

Answer:

The length of rope is 20.0 ft . Hence, option (1) is correct.

Step-by-step explanation:

In the figure below AB represents pole having height 10 ft and AC represents the rope that is from the top of pole to the ground. BC represent the ground distance from base of tower to the rope.

The rope and the ground form a 30 degree angle that is the angle between BC and AC is 30°.

In right angled triangle ABC with right angle at B.

Since we have to find the length of rope that is the value of side AC.

Using trigonometric ratios

$\sin C=\frac{\text{perpendicular}}{\text{hypotenuse}}$

$\sin C=\frac{AB}{AC}$

Putting values,

$\sin 30^\circ} =\frac{10}{AC}$

We know, $\sin 30^\circ}=\frac{1}{2}$

$\frac{1}{2} =\frac{10}{AC}$

On solving we get,

AC= 20.0 ft

Thus, the length of rope is 20.0 ft

Hence, option (1) is correct.

8 0

3 years ago

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What is the product of (-6)(-7)(-1)? -42 -14 14 42

vladimir2022 [97]

Answer:

6×7×-1=-42

amount of negatives are odd

3 0

4 years ago

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The population of Laredo, Texas, was about 215,000 in 2007. It was about 123,000 in 1990,

Gnom [1K]

$\text{Hello there!}\\\\\text{We're trying to find the rate of change of the population}\\\\\text{We see that the population increased over time, meaning that our rate of}\\\text{change would be positive}\\\text{We know that:}\\\\\text{In 2007 = 215,000 people}\\\\\text{In 1990 = 123,000 people}\\\\\text{Subtract 215,000 by 123,000}\\\\215000-123000= 92,000\,\text{increase in the population}\\\\2007-1990 = 17\,\text{years}\\\\\text{Divide 92,000 by 17}\\\\92000\div17=5,411.76\\$

$\text{Round to the nearest whole number:}\\\\5,412\\\\\boxed{\text{Rate of change: 5,412}}$

6 0

3 years ago

Given the equation y = 4x - 3.A) If x increases by 1 unit, what is the corresponding change in y? B) If x decreases by 5 units,

DedPeter [7]

Answer:

A) y will increase by 4 unit.

B) y will decrease by 20 units

Step-by-step explanation:

Given equation that shows relation between x and y.

$y=4x-3$

A) If x is increased by 4 units

New value of y = $4(x+1)-3$

$=4x+4-3$

$=4x+1$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x+1-4x+3$

$=4$

Thus, the value of y will be increased by 4 units.

B) If x is decreased by 5 units

New value of y = $4(x-5)-3$

$=4x-20-3$

$=4x-23$

So, change in y = new value of y- original value of y

$=4x+1-(4x-3)$

$=4x-23-(4x-3)$

$=4x-23-4x+3$

= -20

Thus, the value of y will be decreased by 20 units.

7 0

3 years ago

Can you prove that the two triangles are similar? Justify your answer. Thanks

Slav-nsk [51]

Yes, they are. Rule: AAA (3d angle is also equal, just because it is = what is left from 180 minus two others)

(reflected triangles are also similar triangles)

4 0

3 years ago

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