Answers
Answer:
A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
B: 15 square units
Step-by-step explanation:
A:
Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)
B
The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.
The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.
The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24
The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.
The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9
The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units
Related Questions
The sum of 9 and a number is less than 12. Which of the following inequalities expresses the solutions ?
Answers
What fraction is < 3/4 with a denominator of 8
Answers
Answer:
6/8
Step-by-step explanation:
3/4 is equal to 6/8
which statement is most likely true about the place modeled I the diagrams?
Answers
Answer:
The answer is below. I hope this is the answer your looking for.
Step-by-step explanation:
Simplify (-3/5) divided by (7/6)
Answers
-18/35 is the answer to (-3/5) divided by (7/6)
Show all work to factor x4 − 10x2 + 9 completely.
Answers
Answer:
(x+3)(x-3)(x+1)(x-1)
Proof:https://www.symbolab.com/solver/step-by-step/x%5E%7B4%7D-10x%5E%7B2%7D%2B9
The square of a whole number is between 400 and 500. The whole number must be between:
Answers
Answer: 20-23
Step-by-step explanation: 200^2 is 400 so the number must be greater and 23^2 is greater than 500 so it must be lass than 23.
Can someone help me!
Answers
Answer:
m∠A = 48.81°
Step-by-step explanation:
Given triangle is a right triangle and we have to measure ∠A.
Since, opposite side and adjacent sides of angle A has been given
So we will apply tangent rule to get the measure of angle A.
tan(∠A) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(∠A) = [tex]\frac{8}{7}[/tex]
∠A = [tex]\text{tan}^{-1}(\frac{8}{7})[/tex]
∠A = 48.814
≈ 48.81°
simplify (-2)^-3
a. -8
b. -1/8
c. 1/8
d. 8
Answers
Answer:
Its D because 2×2×2 equals 8 and they are both minus and knowing - times - makes + so it becomes 8
Answer:
B.) -1/8
Step-by-step explanation:
You flip the problem because of the negative exponent
[tex]\frac{1}{-2^3}[/tex]
This makes the exponent positive
Expand the denominator
(-2) * (-2) * (-2) = 4*(-2) = -8
1/-8 = -1/8
Evaluate r^2−s^2, when r=12 and s=5.
Answers
Step-by-step explanation:
Given r = 12, s = 5,
[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]
Warren reads 6 books each month as part of his book club. If Warren has read 24 books so
far, how many months has he been with his book club?
Answers
Answer: 4 months
Look at it this way: 6 books in a group. How many groups are there? well this is multiplication. Just add 6 a bunch of times until you get 24. You will add 6+6+6+6. There are 4 6's. This means, there are 4 months, with 6 books each month.
Answer: 4months
Step-by-step explanation:
Consider this: a set of six novels. What is the total number of groups? This is, after all, multiplication. Simply multiply 6 by 6 until you have 24. You'll multiply 6 by 6 by 6 by 6 There are four sixes. This implies there are four months in all, each with six books.
Solve the equation 10^(4x−1)=2^5. Round your answer to the nearest hundredth
HELPPP!!
Answers
Which table of the values can be defined by the function,y=4x-3
Answers
Answer:
B
Step-by-step explanation:
The length of the arc which subtends an angle 60° at
the centre of a circle of radius 3 cm is approximately
Answers
Answer:
π cm
Step-by-step explanation:
The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.
In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is
s = (3 cm)(π/3) = π cm
A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?
Answers
Answer:
87.5%
Step-by-step explanation:
The area of the entire rectangle is 8 by 6,
8x6=48 so the area is 48 units^2.
The area of the triangle is A=1/2bh
A=1/2(2)(6)
A=1(6)
A=6 units^2
6/48=0.125
0.125=12.5%
You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.
100-12.5=87.5
There is an 87.5% chance it will not land in the triangle
2 kg 91 g = __________ g
Answers
Answer:
2091 grams
Step-by-step explanation:
1000 g = 1kg
2*1000 = 2000g + 91g = 2091 g
Answer:
2kg 91 g = _2091_ g
Step-by-step explanation:
Conversion factor: 1 kg = 1000 g
1) kg = g / 1000
2) kg = 2091 / 1000
3) kg = 2.09
o put on Your Thinking Cap!
$ Challenging Practice
1.
Michelle got an average score of 80 on two tests. What score must
she get on the third test so that her average score for the three tests
is the same as the average score for the first two tests?
Answers
Answer:
Michelle must get an 80 on her next test to keep her average score.
Step-by-step explanation:
Since Michelle got an average score of 80 on two tests, to determine what score she must get on the third test so that her average score for the three tests is the same as the average score for the first two tests, the following calculation must be performed:
X / 2 = 80
X = 80 x 2
X = 160
X x 3 = 80 x 3
X x 3 = 240
X = 240/3
x = 80
So, Michelle must get an 80 on her next test to keep her average score.
Someone please helppppp
Answers
Answer:
the correct answer is b) 4
What is the volume of the figure?
Answers
Answer:
47.12
Step-by-step explanation:
same as the last question
Bob mixed 5/8 cup of water and 1/8 cup of lemon juice in a cup. The rest of the mixture was lime juice. How much lime juice did Bob add if the cup was full?
Answers
Answer: thats a good question
Step-by-step explanation:
Answer: he will add 2/8 more so it can be full.
Step-by-step explanation: you divide 2/8 by 5/8 and you'll get 1/8.
please give me brainlest
Given that the quadrilateral shown is a parallelogram, which statements are correct?
A)
mZA = 950
B)
mZB = 65
C)
mZC = 959
D)
AD = 8
E)
DC = 12
Answers
Answer: I know that DC is 12 and AD=8 the others i dont know.
Step-by-step explanation:
This is because opposite sides of a parallelogram are parallel and congruent. therefore AB and DC are equal/congruent.
Find the lateral and surface area for the pyramid with a regular base. Where necessary, round to the nearest tenth.
Answers
Answer:
Lateral area -288. Surface area-96
Step-by-step explanation: teacher told me
greater than or less than
Answers
Answer:
for what ? put your question completely
the difference between the squares of two numbers is 32. twice the square of the first number increased by the square of the second number is 76. find the numbers.
Answers
Answer:
The numbers are 6 and 2
6 squared = 36
2 squared = 4
So 36-4 = 32
And 36 x 2 = 72 + 4 = 76
 Consider the line segment LP with endpoint at L (-3, -5) and P (9, 7) and midpoint M.
What is the x—coordinate of N, the point that partitions segment MP in a 1 : 1 ratio?
A. 4
B. -4
C. -6
D. 6
Answers
Answer:
D. 6Step-by-step explanation:
M is midpoint of LP and N is midpoint of MP
Use midpoint formula:
x = (x₁ + x₂)/2Find x-coordinate of M:
x = (-3 + 9)/2 = 3Find x-coordinate of N:
x = (3 + 9)/2 = 6Correct choice is D
Consider function f, where B is a real number.
f(x)=tan(Bx)
Complete the statement describing the transformations to function f as the value of B is changed.
As the value of B increases, the period of the function (remains the same, increases, decreases), and the frequency of the function (remains the same, increases, decreases).
When the value of B is negative, the graph of the function (reflects over the y-axis, remains the same, reflects over the x-axis).
Answers
Using the concept of the tangent function, it is found that:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
---------------------------------
Tangent function:
It is given by:
[tex]f(x) = \tan{Bx}[/tex]
The period is [tex]P = \frac{\pi}{|B|}[/tex].The frequency is [tex]F = \frac{1}{P} = \frac{|B|}{\pi}[/tex].---------------------------------
The period is inversely proportional to B, thus, as B increases, the period decreases.Frequency is inversely proportional to the period, thus, as the period decreases, the frequency increases.When B is negative, we get [tex]f(x) = \tan{-Bx} = f(-x)[/tex], thus, the function is reflected over the y-axis, as the graph at the end of the answer shows, with f(x) is red(B positive) and f(-x) in blue(B negative).---------------------------------
Considering the three bullet points above, the correct option is:
As the value of B increases, the period of the function decreases, and the frequency of the function increases. When the value of B is negative, the graph of the function reflects over the y-axis.
A similar problem is given at https://brainly.com/question/16828446
Answer:
got it right
Step-by-step explanation:
Inequality question PLEASE HELP
Answers
Answer:
40x4x<60
x<5
Step-by-step explanation:
40x4x<60
4x<60-40
4x<20
x<20÷4
x<5
The experimental probability of rain in a certain
town is 60 percent. In the next 30 days, how many days
can one expect it to rain?
Answers
Answer:
18 days
Step-by-step explanation:
Find how many days it can be expected to rain by finding 60 percent of 30
30(0.6)
= 18
So, one can expect it to rain for a total of 18 days out of the 30 days
What is the slope of the line through? (-4, 2) and (3, -3)?
Answers
Answer:
c. -5/7
Step-by-step explanation:
What is 5 3/4 -1 5/12= ?
Answers
Answer:
4.33333333333 or 4 and 1/3
Step-by-step explanation:
Answer:
4 1/3
Step-by-step explanation:
1) Convert 5 3/4 to improper fraction.
2) Simplify 5x4 to 20.
3) Simplify 20+3 to 23.
4) Convert 1 5/12 to an improper fraction.
5) Simplify 1x12 to 12.
6) Simplify 12+5 to 17.
7) Find the least common denominator of 23/4 & 17/12.
8) Make the denominators the same.
9) Join the denominators.
10) Simplify 52/12 ( 4 1/3 )
Hope this helped!
.
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
