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Vinvika [58]
3 years ago
5

As part of his math assignment, Santos has to estimate the height

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

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PLEASE HELP MARKING BRAINLIEST
xeze [42]

Answer:

a5 =243 x (1/3)^(5-1) = 243x 1/81 =3

Explanation

a(n) = a(1) x r^(n-1)

4 0
3 years ago
Find each percent change. Round to the nearest tenth of a percent. State if it is an increase or decrease. From 46 to 89.8
Degger [83]

Answer:

78%

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

% increase= 35.8/46 *100= 77.82=78 %

3 0
3 years ago
Find the measure of <2
Yakvenalex [24]

Answer:

96

Step-by-step explanation:

Hello There!

The following figure shown is a parallelogram

If you didn't know opposite interior angles of a parallelogram are congruent

Therefore the angle that has a measure of 96 degrees and the angle labeled 2 are congruent

hence ∠2=96

8 0
3 years ago
(-2,-11);slope=4 write the equation of the line
wolverine [178]

Answer:  y = 4x-3

slope = 4, y intercept = -3

=================================================

m = 4 is the slope

(x_1,y_1) = (-2,-11) is the point the line goes through

Using point slope form, we can say,

y - y_1 = m(x - x_1)\\\\y - (-11) = 4(x - (-2))\\\\y + 11 = 4(x + 2)\\\\y + 11 = 4x + 8\\\\y + 11-11 = 4x + 8-11\\\\y = 4x - 3\\\\

The equation is in slope intercept form y = mx+b

m = 4 = slope

b = -3 = y intercept

------------------------

As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b

y = mx+b

-11 = 4(-2)+b

-11 = -8+b

-11+8 = -8+b+8

-3 = b

b = -3 we get the same y intercept value as above

------------------------

To check the answer, plug x = -2 into the equation. We should get y = -11

y = 4x-3

y = 4(-2)-3

y = -8-3

y = -11 we get the proper y value. The answer is confirmed.

3 0
3 years ago
Read 2 more answers
An earthquake causes a 3 kg book to fall from a shelf. If the book lands with a speed of 4.0 m/s, from what height did it fall?
r-ruslan [8.4K]
Given:
3kg book
speed of falling of 4.0 m/s
acceleration due to gravity -9.8 m/s² 

Vf² = Vi² + 2 * a * d

Vf = final velocity ; Vi = initial velocity ; a = acceleration ; d = distance

0² = (4 m/s)² + 2(-9.8m/s²) * d
0 = 16 m²/s² -19.6 m/s² * d
-16 m²/s² = -19.6 m/s² * d
-16 m²/s²  / -19.6 m/s² = d
 0.82 m = distance

The 3 kg book fell from the a shelf at the height of 0.82 meters.
6 0
3 years ago
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