Using the Pythagorean theorem
c^2 = a^2 +b^2
C^2 = 12^2 + 8^2
c^2 = 144 +64
c^2 = 208
c= sqrt(208)
c= 14.4 feet
Answer:
19/30
Step-by-step explanation:
The probability of an event happening or a event not happening is 30/30
30/30 - 11/30 = 19/30
There the answer is 19/30
(3 points) The altitude of a triangle is increasing at a rate of 1 cm/min<span> while the area of the triangle is increasing at a rate of 20 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2. = 2, namely, the base of the triangle is increasing at a rate of </span>2 cm/min<span>.</span>
The numbers are (-8, 3) or (3, -8).
Step-by-step explanation:
- Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.
⇒ a + b = -5 ⇒ b = -5 - a
⇒ a × b = -24 -------- (1)
- Step 2: Substitute the value of b in eq(1)
⇒ a × (-5 - a) = - 24
⇒ -5a - a² = -24
⇒ a² + 5a - 24 = 0
- Step 3: Solve the quadratic equation for a.
a = (-5 ± √25 - 4 × 1 × -24)/2
= (-5 ± √121)/2
= - 16/2, 6/2 = -8 or 3
- Step 4: For each value of a, find b.
When a = -8, b = -5 +8 = 3
When a = 3, b = -5 - 3 = -8.
The answer is 1.2 b/c you have to solve x by simplifying both sides of the equation and isolating the variable.
