Answer:
Length of base DE = 24 units
Step-by-step explanation:
Given:
In given triangle, right angle at D
SO,
Perpendicular of given triangle = 32 unit
Hypotenuse of given triangle = 40 unit
Find:
Length of base DE
Computation:
Using Pythagoras theorem
Base = √Hypotenuse² - Perpendicular²
Length of base DE = √Hypotenuse of given triangle² - Perpendicular of given triangle²
Length of base DE = √40² - 32²
Length of base DE = √1,600 - 1,024
Length of base DE = √576
Length of base DE = 24 units
Answer:
<em>x² + 2x - 15 = 0 </em>
Step-by-step explanation:
- 5 and 3 are zeros of quadratic function.
(x + 5)(x - 3) = 0
<em>x² + 2x - 15 = 0</em>
Answer:
Area = L²-5L
Step-by-step explanation:
Area = length * width
Length = L
Width = L - 5
Area = L * (L-5) = L²-5L
Answer:

Step-by-step explanation:

Answer:
6.34 × 10²
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 634
New Number: 6.34
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 6 . 3 4
Decimal Count: 1 2
There are 2 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 6.34
b = 2
Now the whole thing:
6.34 x 10²
Step 4
Check your work:
10² = 100 x 6.34 = 634