Something that a right triangle is characterised by is the fact that we may use Pythagoras' theorem to find the length of any one of its sides, given that we know the length of the other two sides. Here, we know the length of the hypotenuse and one other side, therefor we can easily use the theorem to solve for the remaining side.
Now, Pythagoras' Theorem is defined as follows:
c^2 = a^2 + b^2, where c is the length of the hypotenuse and a and b are the lengths of the other two sides.
Given that we know that c = 24 and a = 8, we can find b by substituting c and a into the formula we defined above:
c^2 = a^2 + b^2
24^2 = 8^2 + b^2 (Substitute c = 24 and a = 8)
b^2 = 24^2 - 8^2 (Subtract 8^2 from both sides)
b = √(24^2 - 8^2) (Take the square root of both sides)
b = √512 (Evaluate 24^2 - 8^2)
b = 16√2 (Simplify √512)
= 22.627 (to three decimal places)
I wasn't sure about whether by 'approximate length' you meant for the length to be rounded to a certain number of decimal places or whether you were meant to do more of an estimate based on your knowledge of surds and powers. If you need any more clarification however don't hesitate to comment below.
Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
<u>Let the altitude be x. Then as per Pythagorean theorem:</u>
- x² = 40² - (40/2)²
- x²= 1600 -400
- x²= 1200
- x= √1200
- x= 20√3 cm
<u>Correct choice is</u> the second one
Answer:
D is the correct answer
Step-by-step explanation:
Given:
Unit base price: $435
Credit Card interest rate, i = 9.4% compounded monthly; i = 0.00783/month comp monthly
n = 1.5 years = 18 months
sales tax = 8.51%
First, determine the actual price of the unit by adding the sales tax to the base price of the unit:
$435 * (1 + 0.0851)
Actual price = $472.0185
So, the total amount paid by Brian should be higher than the actual price since he used his credit card. Use the formula from economics:
F = P (1+i)^n
F = $507.96
Therefore, the total amount paid by Brian is $507.96.
(Hope this helps can I pls have brainlist (crown) ☺️)
Answer:
20% increase
Step-by-step explanation:
30-25=5
solve for x
(5*100)/25 = 20
