Answer:
75
Step-by-step explanation:
<em><u>Refer to attachment</u></em>
As the first step extending the segment BC until intersection with AD.
Since ∠A + ∠B = 90° we get right triangle by extending CB
Naming the segments a, b, c, d as pictured
<u>The are of (ABCD) is equal to sum of areas of two right triangles:</u>
<u>Substitute d with a-c as a = c+d, then:</u>
- Area = 1/2(ac+bc) + 1/2b(a-c) = 1/2(ac + bc + ab - bc) = 1/2(ab + ac)
- Area = 1/2(ab+ac)
<u>Applying Pythagorean to small triangle:</u>
- 10² = b² + (a-c)²
- 100 = b² + a² - 2ac + c²
<u>Applying Pythagorean to bigger triangle:</u>
- 20² = (a+b)² + c²
- 400 = a² + 2ab + b² + c²
<u>Subtracting equations we got:</u>
- 400 - 100 = a² + 2ab + b² + c² - (b² + a² - 2ac + c²)
- 300 = 2ab + 2ac
<u>This gives us the 4 times of the area which is 1/2(ab + ac), so the area is </u>
Answer:
for the top its the first one
Step-by-step explanation:
a function is when a number has one corresponding number (some say exponent or other words)
Answer:
They can expect to make $524
Step-by-step explanation:
Lets solve the problem
The form of the linear function is f(x) = m x + b, where m is the slope of the line and b is the y-intercept (value f(x) at x = 0)
∵ The student decided to use the points (0.5, 20) and (3, 150)
to make a better regression equation
- She calculated the slope of the line using the two points
∵ 
- She substituted the value of m in the form above
∴ f(x) = 52 x + b
- Than she find that the best value of f(x) at x = 0 is 4
∴ f(x) = 52 x + 4
∵ x represents the number of hours
∵ y represents the money
∵ The family decides to extend the yard sale to be 10 hours long
- That means substitute x by 10 in f(x)
∵ x = 10
∴ f(10) = 52(10) + 4
∴ f(10) = 520 + 4
∴ f(10) = 524
∴ They can expect to make $524
Well if the probability of getting a tail is 0.31 then the probability of getting a head must be 0.69 because 0.31 is much like 31% and the last 0.69 makes 69% resulting in the total 100% chance when combining the outcome chances seeing as a coin only has 2 sides. (Assuming we are speaking of an U.S. coin here) <span />
Answer:
4 cups of raisins
3 cups of dates
6 cups of peanuts
and 2 cups of cashews
ratio cashews to raisins= 2:4
= 1:2
ratio dates to peanuts= 3:6
= 1:2
