4 years ago

What is the solution of the system of equations shown below?

Mathematics

1 answer:

garik1379 [7]4 years ago

3 0

Answer:

Step-by-step explanation:

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Find the value of the length <br> x<br> rounded to 1 DP.

bagirrra123 [75]

Length of x is 98.2 m

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.

tan 27° = opposite side/adjacent side = opposite side/9

∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m

Step 2:

Use this side and trigonometric ratio cosine to find the value of x.

cos 49° = adjacent side/x = -29.46/x

∴ x = -29.46/cos 49° = -29.46/0.30

= 98.2 m (negative value neglected)

5 0

3 years ago

Read 2 more answers

Mikel asked her father how old he is gues the father said I you add the digits that make my age this year you'll get a number th

Alexxx [7]

Answer:

For the sum of the digits of Michelle’s father to drop to 1/3 of its’ former value, the second digit must go from 9 to 0, in one year.

Thus, if he is 39 this year, the sum of the digits of his age will be 12. Next year, when the sum of the digits would be 4+0, or 4, then the digits of his age would be 1/3rd of their former value.

Therefore, he is 39, and will be 40 next year

Step-by-step explanation:

7 0

3 years ago

Solve please. *Picture Included*

Juliette [100K]

I think the answer would be 1.8

8 0

4 years ago

Nora has $50 saved and gets $12 a week in allowance. Write a function to show the total amount of money she will have saved afte

Maksim231197 [3]

Answer:

After 'n' weeks?

Step-by-step explanation:

Make sure your question makes sense.

5 0

3 years ago

Which of the following functions gives the radius, r(v), of a conical artifact that is 20 inches tall as a function of its volum

nalin [4]

By calculus or elementary geometry, we know that the formula for the volume of a cone, given pi (the constant), its height h and its radius r is:
$V=pi*h*r^2/3$
Lets solve this relation for the radius:
$3V=pi*h*r^2
$
$\frac{3V}{pi*h} =r^2$
$\sqrt{\frac{3V}{pi*h}} = r$
Now we have found a general formula that gives us the radius of a cone, given its volume and height. We need only substitute height (20in) and pi=3.14 to get the numerical equation: r=0.2185* $\sqrt{V}$

5 0

4 years ago