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yarga [219]
2 years ago
14

A ranger spots a forest fire on a 24-meter observation tower. The angle of depression from the tower to the fire is 29°. To the

nearest meter, how far is the fire from the base of the tower?
Mathematics
2 answers:
Agata [3.3K]2 years ago
8 0
Let x= distance to fire

tan29 = 24/x
x tan29 =24
x = 24/tan29
x= 43.30m (2dp)
ivann1987 [24]2 years ago
5 0
4.57 meters away from the fire

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Use the following scenario to answer the question below:
Stolb23 [73]

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).

We will write cubic inches as three inches side-by-side

350 in^3

<h3>What is the ratio of the centimeter?</h3>

This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in

So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.

350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.

So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).

This is larger than a 5500 cubic centimeters engine.

5735.5-5500=235.5cubic centimeters.

The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.

To learn more about the significant figures visit:

brainly.com/question/24491627

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6 0
2 years ago
WILL MARK YOU BRAINLIEST !!!!
liq [111]

Answer:

\overline {PM} \cong \overline {ON} because they are opposite sides of a parallelogram.

Step-by-step explanation:

First of all, let us have a look at the definition of a parallelogram.

<em>A parallelogram is a closed 4 sided figure (i.e. a quadrilateral) made up with two pairs of straight lines such that the two pairs are parallel and equal to each other.</em>

<em></em>

For example, let us consider a quadrilateral ABCD as attached in the diagram in answer area.

The two pair of lines are:

AB,  DC and BC, AD

For ABCD to be a parallelogram, the lines

AB and DC must be parallel to each other and AB = DC

AND

BC and AD must be parallel to each other and BC = DA

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

In the given question, we are given that the quadrilateral MNOP is a parallelogram.

The two pairs opposite lines are OP, NM and PM, ON.

As per the definition of a parallelogram,

OP and NM must be <em>parallel and equal </em>to each other.

AND

PM and ON must be <em>parallel and equal </em>to each other.

\therefore \overline {PM} \cong \overline {ON}.

Hence proved.

6 0
3 years ago
Suppose there are three blue marbles and three yellow marbles in a bag and you want to remove two marbles. You do not replace th
Alex Ar [27]
You have a 50% chance of getting a blue marble and a 50% chance of getting a yellow marble
3 0
3 years ago
Read 2 more answers
What is the solution to the equation 41+5 -3- 7+5?
AleksandrR [38]

Answer:

no solution

Step-by-step explanation:

it's just 41

4 0
2 years ago
Read 2 more answers
5(x+7)+2 = 4(x - 1) + 1
Nadya [2.5K]

Answer:

x = -40

Step-by-step explanation:

First we distribute

5x + 35 + 2 = 4x - 4 + 1

Collect like terms

5x + 37 = 4x - 3

Subtract 37 from both sides

5x = 4x - 40

Subtract 4x from both sides

1x = -40 OR x = -40

6 0
3 years ago
Read 2 more answers
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