Answer:
Height of each triangle: 14cm
Area of each triangle: 168cm²
Step-by-step explanation:
So we know that the base of the area is 24. Lets find the height.
336 ÷ 24 = 14
If he makes two triangles out of the rectangle that just means he cuts it in half.
To find the area of one triangle lets do:
336 ÷ 2 = 168
Let's double check our answer:
(14 × 24) ÷ 2 = 168
Seems great!
Answer:
a. y = 3/2x - 12
Step-by-step explanation:
Slope is y = mx + b
Slope or m = 3/2
y-intercept or b = -12
Substitute m for 3/2 and b for -12 then the answer would be y = 3/2x - 12
Answer:
x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4
Step-by-step explanation:
Solve for x:
2 x^2 - 5 x + 5 = 0
Hint: | Using the quadratic formula, solve for x.
x = (5 ± sqrt((-5)^2 - 4×2×5))/(2×2) = (5 ± sqrt(25 - 40))/4 = (5 ± sqrt(-15))/4:
x = (5 + sqrt(-15))/4 or x = (5 - sqrt(-15))/4
Hint: | Express sqrt(-15) in terms of i.
sqrt(-15) = sqrt(-1) sqrt(15) = i sqrt(15):
Answer: x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4
Cross multiply:
2.5 ft x 16.5 ft = 41.25 ft
now divide:
41.25 / 8.25 = 5
L = 5 feet
Answer:
$448
Step-by-step explanation:
We can use the simple interest formula for this:

<em>P = initial balance</em>
<em>r = annual interest rate</em>
<em>t = time</em>
<em />
First, change 4% into its decimal form:
4% ->
-> 0.04
Now, lets plug in the values:


The total amount in the account after 3 years will be $448