Answer:
Step-by-step explanation: look at the picture
The value of x is 34.64 feet
<h3>Right-angled triangle</h3>
Find the diagram attached
- The height of the tent = 40 ft
- length of the rope = x
Get the value of x using the SOH CAH TOA identity

Hence the value of x is 34.64 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:
- <u>Height of the triangle = 10.392</u>
And the area of the triangle is:
- <u>Area of the triangle = 31.176 units^2</u>
Step-by-step explanation:
When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:
- <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>
As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:
- (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
- (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
Now, we can replace the values in the formula obtained:
- (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
- (adjacent leg)^2 = 12^2 - 6^2
- (adjacent leg)^2 = 144 - 36
- (adjacent leg)^2 = 108
Now, as we just need the adjacent leg, we take the square root of both sides:
- adjacent leg =

- <u>adjacent leg = 10.392 approximately</u>.
Now, with these data, we can find the area of the triangle with the next formula:
- Area of a triangle = (base * height) / 2
- And we replace the measurements:
- Area of a triangle = (6 * 10.392) / 2
- <u>Area of a triangle = 31.176</u>
As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.
Depends on the fraction to determine your answer
Answer:
D. 4 hundredths
Step-by-step explanation:
Hello!
The second digit after the decimal point is 4 is shown by
0.04
The points after a decimal point go tenths, hundredths, thousandths etc.
The answer is D. 4 hundredths
Hope this helps!