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never [62]
3 years ago
5

The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

<u>We are given:</u>

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

<u>Finding the change in Elevation:</u>

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           <em>[sin(20 degrees) = 0.342]</em>

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m <em>(option B)</em> is correct

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this is the rust of the questions please please some one helps me because I really try my best to solve it . thank you ​
lyudmila [28]

Answer:

x = 24.

r $ \ne $ 0.

Step-by-step explanation:

2. The given equation is:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.

b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.

c) We have the equation:

$ \frac{1}{2} (x - 4) = \frac{1}{3} x + 2 $

Multiplying throughout by 6, we get:

$ \frac{6}{2}(x - 4) = \frac{6}{3} x + 6(2) $

$ \implies 3(x - 4) = 2x + 12 $

$ \implies 3x - 12 = 2x + 12 $

$ \implies x = 24 $

Therefore, the solution of the equation is 24.

3. The given equation is: $ ry + s = tx - m $

To solve for y:

We can rearrange the equation as:

$ ry = tx - m - s $

$ \implies y = \frac{tx - m - s}{r} $

or, $ y = \frac{tx - (m + s)}{r} $

Note that we have to impose a condition on variable $ r $. It would be that $ r $ can never be zero. i.e., $ r \ne 0 $. Otherwise, the value of $ y $ would be undefined.

4 0
3 years ago
Me Green's sunflower grew 29 centimeters in one week. The next week it grew 5 centimeters more than the previous week. What is t
Alex
The sunflowers grew 5 more centimeters than last week. Last week they grew 29 centimeters. 29+5=34. THe first week the flowers grew 29 centimeters. In the second week they grew 34 centimeters. in those two weeks they grew 63 centimeters.

3 0
3 years ago
Read 2 more answers
A recipe needs a ratio of 2.5 of sugar to flour. If Joe uses 60g of sugar, how much flour should he use?
lisabon 2012 [21]
Answer:24



Explanation for equation:
3 0
3 years ago
Read 2 more answers
Combine the like terms to create an equivalent expression<br> -k - ( - 8k)
Svetllana [295]

____________________________________________________

Answer:

7k

____________________________________________________

Step-by-step explanation:

We are trying to combine like terms with the expression: -k - ( - 8k)

We are pretty much solving it.

Solve:

-k - ( - 8k)

The "- ( -" turns into a plus sign.

So it would look like:

-k - -8k or -k + 8k

Now, you would finish solving

-k + 8k = 7k

____________________________________________________

3 0
3 years ago
Read 2 more answers
The table shows the number of points Malik and Alexia scored while playing a video game together.
grigory [225]

Answer:

a=m+30

Step-by-step explanation:

because you see that malik is always 30 points under, and A would be Alexia and M is Malik,

                                        The answer is a=m+30

5 0
3 years ago
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