Find the area of the composite figure.
If you answer I'll give you branliest :)))(
Answers
Answer:
252cm²
Step-by-step explanation:
This figure consists of 2 trapeziums.
Area of a trapezium= (The sum of the parallel side/2)× height
Explanation:
[(16+20)÷2]×7
[36÷2]×7
18×7
126cm²
Since the 2 trapezium have the same value we will just multiply the answer by 2.
126×2
252cm²
Hope this helps:)
Related Questions
Suppose you select two numbers at random with replacement from the set {1, 2, 3} and then you form a rectangle with the first number as the length of the rectangle and the second number as the height of the rectangle. Let X be the area of the rectangle so formed. Find the probability mass function of X.
Find the next three terms in the geometric sequence. 2,-16,128,-1024,...
A number, n, is multiplied by -3/8. The product is -0.5 What is the value of n?
Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed? A: 4+4+4+4B: 8+8+8+8C: (-1)(4+4+4+4)D: (-8)+(-8)+(-8)+(-8)
Answers
Answer:
Step-by-step explanation:
So we have the function:
And we want to find h(x)=3/4.
So, we want to find the value of x such that h(x) equates to 3/4.
So, substitute 3/4 for h(x):
First, subtract both sides by 5/4. The right will cancel.
Subtract on the left:
Reduce on the left:
Now, multiply both sides by -1/2. The right will again cancel:
Multiply on the left:
So, for h(x) to be 3/4, the value of x is 1/4.
And we're done!
Answer:
x = 1/4
Step-by-step explanation:
We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -
3/4 = - 2x + 5/4,
If we subtract 5/4 from either side : - 2x = - 1/2
Now divide either side by - 2 : x = 1/4
Therefore our solution is x = 1/4
4x + 8 = 5x + 2
Answers
Answer: X = 6
Step-by-step explanation:
4x + 8 = 5x + 2
-5x -5x (minus 5x from each side)
-x+8=2
-8 from each side
-x = -6
divided by -1 from each side
x = 6
First thing you want to do it separate the x and the numbers on different sides by subtracting or adding.
4x+8 = 5x +2
-4x. -4x
8=x+2
-2. -2
6=x
represents the volume of a solid obtained by rotating a region around y=-1. Evaluate.
Answers
Answer:
V = π (-2 (ln 2)² + 4 ln 2 − 1)
V ≈ 2.55
Step-by-step explanation:
V = π ∫₁² (1 − (ln x)²) dx
V/π = ∫₁² (1 − (ln x)²) dx
V/π = ∫₁² dx − ∫₁² (ln x)² dx
V/π = x |₁² − ∫₁² (ln x)² dx
V/π = 1 − ∫₁² (ln x)² dx
To evaluate the second integral, integrate by parts.
If u = (ln x)², then du = 2 (ln x) / x dx.
If dv = dx, then v = x.
∫ u dv = uv − ∫ v du
= (ln x)² x − ∫ x (2 (ln x) / x) dx
= x (ln x)² − 2 ∫ ln x dx
Integrate by parts again.
If u = ln x, then du = 1/x dx.
If dv = dx, then v = x.
∫ u dv = uv − ∫ v du
= x ln x − ∫ x (1/x dx)
= x ln x − ∫ dx
= x ln x − x
Substitute:
∫ (ln x)² dx = x (ln x)² − 2 ∫ ln x dx
∫ (ln x)² dx = x (ln x)² − 2 (x ln x − x)
∫ (ln x)² dx = x (ln x)² − 2x ln x + 2x
Substitute again:
V/π = 1 − ∫₁² (ln x)² dx
V/π = 1 − (x (ln x)² − 2x ln x + 2x) |₁²
V/π = 1 + (-x (ln x)² + 2x ln x − 2x) |₁²
V/π = 1 + (-2 (ln 2)² + 4 ln 2 − 4) − (-1 (ln 1)² + 2 ln 1 − 2)
V/π = 1 − 2 (ln 2)² + 4 ln 2 − 4 + 2
V/π = -2 (ln 2)² + 4 ln 2 − 1
V = π (-2 (ln 2)² + 4 ln 2 − 1)
V ≈ 2.55
Answers
(-1,9)
Answers
20 - 28x = 6 - 12x
Add 28x to both sides
20 = 6 + 16x
Subtract 6
14 = 16x, x = 14/16 = 7/8
Solution: x = 7/8
Answers
Answer:
0.11
Step-by-step explanation:
The events are independent, so:
P(A and B) = P(A) × P(B)
P = 0.5 × 0.22
P = 0.11