The correct answer is Choice A.
This is an example of an exponential equation, so we need the formula
.
The a value is the starting value of 100. The b value must be a decimal lower than 1 because it is decreases.
If you substitute in 8 for x, you will see that the output is about 50 (half of 100).
The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
<span>Subtract the sum of (3/5+1/5i) and (4/5-2/5i) from (9/5-1/5i).
The sum will be:
(3/5+1/5i)+(4/5-2/5i)
=(3/5+4/5)+(1/5i-2/5i)
=7/5-1/5i
subtracting the results we get:
(9/5-1/5i)-(7/5-1/5i)
=(9/5-7/5)+(-1/5i+1/5i)
=2/5+0
=2/5
Answer: 2/5</span>
Answer:
30m²
Step-by-step explanation:
To find the area of a triangle, you need to ensure that the triangle is a right-angled triangle. We can use the Pythagoras Theorem to help us prove that.
a² + b² = c²
5² + 12² = 169
13² = 169
By converse of Pythagoras Theorem, the triangle is a right-angled triangle.
Thus, you can directly find the area of the triangle using the formula: base × height ÷ 2.
Area = 12 × 5 ÷ 2
= 30m²
2. none of the answers are correct
