Answers
Answer:
As shown in picture, this is a trapezoid.
The area of a trapezoid is calculated by:
A = (base1 + base2) x height x (1/2)
To work out A, we need to find out base1, base2, and height.
base1 = YZ = [tex]\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3[/tex]
base2 = XW =[tex]\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7[/tex]
Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.
=> A = (3 + 7) x 4 x (1/2) = 20
Hope this helps!
:)
Related Questions
Workers have packed 1,400 glasses in 7 boxes. If they pack 3 more boxes, how many glasses will they have packed in all?
Answers
1box = 1400/7 = 200
200×3=600
1400+600=2000
Step-by-step explanation:
Given :Workers have packed 1,400 glasses in 7 boxes.
To Find :If they pack 3 more boxes, how many glasses will they have packed in all?
Solution:
Workers packed no. of glasses in 7 boxes = 1400
Workers packed no. of glasses in 1 box =
Workers packed no. of glasses in 3 boxes =
=
So, initially they packed 1400 glasses
If they pack 3 more boxes so, the pack 600 glasses more
So, The total no. of glasses have packed by workers = 1400+600 = 2000
Hence they have packed 2000 glasses in all.
Simon took out a zero-interest loan for $3,300 to buy a boat. He must pay $300 per month to pay off the total balance of the boat's purchase price. Simon also has $1,000 in his savings account. He plans to deposit $600 every month in this account. So, Simon would like a system of equations that tells him at what point he will be able to pay off the total balance for the boat with the help of his savings. Write the second equation in the system. Enter the correct answer in the box. Substitute numerical values into the expression for all known variables.
Answers
Answer:
After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.
Step-by-step explanation:
ending loan's principal balance = beginning loan's principal balance - number of months x $300
or we can simplify it: l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x
l₁ = ending loan's principal balance
x = number of months
ending savings account balance = beginning savings account balance + number of months x $600
or we can simplify it: s₁ = s₀ + 600x ⇒ s₁ = 1,000 + 600x
s₁ = ending savings account balance
x = number of months
account balances for months
month 1 month 2 month 3 month 4
boat loan $3.000 $2,700 $2,400 $2,100
savings account $1,600 $2,200 $2,800 $3,400
Answer:
y equals 300x plus 3300
Step-by-step explanation:
In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1. Find the values of x and y.
Answers
Answer: x = 6, y = 4
Step-by-step explanation:
Given the following :
In parallelogram DEFG:
DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1
According to the diagram,
The diagonals of the parallelogram buscect each other
The diagonal GE:
GH = HE
4x - 3 = 5y + 1 - - - - (1)
The Diagonal DF:
DH = HF
x + 2 = 2y
x = 2y - 2 - - - - - (2)
Replace x = 2y - 2 in equation (1)
4(2y - 2) - 3 = 5y + 1
8y - 8 - 3 = 5y + 1
8y - 5y = 1 + 8 + 3
3y = 12
y = 4
Substityte y = 4 in equation (2)
x = 2(4) - 2
x = 8 - 2
x = 6
x = 6, y = 4
Find the length of the hypotenuse in each right triangle.
(Do 2 of each)
Answers
Answer:
2.
a. 14 cm
b. 17 cm
c. 6 cm
d. 8 cm
3.
a. 22 cm
b. 36 cm
c. 16 cm
d. 15 cm
4.
a. 10 cm
b. 40 cm
c. 28 cm
Step-by-step explanation:
The Pythagorean Theorem states the sum of two sides length equals the length of the hypotenuse of the triangle.
Hope this helps!!! PLZ MARK BRAINLIEST!!!
Solve the system of equations
-10x+3y=5
x=y-4
x=
y=
Answers
Answer:
x=1
y=5
Step-by-step explanation:
Found the answer online at math way
no work and don't report me or delete my answer!!!
I want brainliestz - 5 = 33
a) twice 5 is 33
b) z increased by 5 is 33
c) 5 less than z is 33
d) 5 times z is 33
Answers
Answer:
C) 5 less than z is 33
Step-by-step explanation:
z-5=33
z-5+5=33+5
z=38
38-33=5
What is important to keep in mind when selecting a sample?
a. The sample should be chosen based on specific criteria, such as the youngest students in the
class.
b. The sample should be chosen at random so that it is fair.
c. The sample should consist of every person in the population being studied.
d. The sample size should always be exactly one person or piece of data.
Answers
Answer: b. The sample should be chosen at random so that it is fair.
Step-by-step explanation:
Looking at the options:
a. The sample should be chosen based on specific criteria, such as the youngest students in the class.
This is false. Choosing a sample size based on specific criteria may skew the data unfairly. For example, in a survey on students' studying habits, choosing only the students with lowest grades would be an inaccurate representation of the data.
b. The sample should be chosen at random so that it is fair.
This is true. Randomizing a sample eliminates any bias, whether intended or unintended.
c. The sample should consist of every person in the population being studied.
Although it is ideal to survey every person in order to get the most accurate data, doing so is often impossible given the scope of a data set. Doing a survey on high schooler's study habits cannot possibly get data from every person in the population, as there are high school students across the world.
d. The sample size should always be exactly one person or piece of data.
One person's data is not a survey, it is just an opinionated study. Sample size should always be large enough to eliminate any accidental bias.
The correct choice is B.
A survey asked only girls to identify their favorite item on the
school cafeteria menu
A. Unbiased sample
B. Biased sample
Answers
Answer:
B
Step-by-step explanation:
A biased sample is a sample that does not accurately represent the population.
The survey asked only girls, but we can assume this school has both boys and girls. Therefore, by only asking girls, it creates a bias, because the boys in the school are not represented.
Therefore, the correct choice is B: biased sample.
The image provided contains a set of parallel lines, AB and CD, and a transversal line, EF. If angle ∠ a is equal to 135˚, then which of the other angles is equal to 135˚? SELECT ALL THAT APPLY! *
∠ b
∠ h
∠ c
∠ g
∠ e
Answers
5. Janet Gilbert is director of labs. She has some extra capacity and has contracted with some small neighboring hospitals to run some of their lab tests. She has recently had a study conducted and has determined that her costs of these contracts are $10,000 of which $7,000 are for supplies and items related to each test. She currently charges an average of $10.00 per lab test. She is thinking of lowering her price by 20 percent in hopes of raising her current volume of 10,000 tests by 15 percent.
Answers
Answer:
Check the explanation
Step-by-step explanation:
Present predicted
Revenue - per test 10000 8000
Variable cost - per test 7000 7000
Contribution – per test 3000 1000
Net income (10,000 test – 11,500 tests) 30,000,000 11,500,000
Nine times a number is -63
Answers
Answer:-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Someone please help me this will be a lot of points and I will follow u and Mark u the brainiest
Answers
Answer:
Reindeer runs in 3 hrs = 20×1/4 miles
Reindeer runs in 1 hr = 81/4 × 1/3 = 6 × 3/4 miles (option 2)
Please answer correctly !!!!! Will mark brainliest !!!!!!
Answers
I belive your answer should be letter B
Answer:
c
Step-by-step explanation:
the correct choice is c
A cylinder has a base radius of 5 centimeters and a height of 17 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
Answers
Ricky purchase Shoes for $159.95 and then exchanged them at a buy 1 get 1 half off sale. The shoes that he purchased on his return trip were $74.99 and $68.55. How much did he receive back from the store after his second transaction?
Answers
Answer:
50.68
Step-by-step explanation:
The higher priced shoes are full price and the lower priced shoes will be 1/2 price
74.99 + 1/2 (68.55)
74.99 + 34.28
109.27
He had 159.95 in credit
159.95-109.27
50.68 in return
Use the remainder theorem to determine whether x - 2 is a factor of
f(x) = x3 + 3x2 - x - 18
A)
Yes, x - 2 is a factor of f(x) because f(2) = 0
B)
No, x - 2 is not a factor of f(x) because f(2) = 0
C)
Yes, x - 2 is a factor of f(x) because f(-2) = -12
D)
No, x - 2 is not a factor of f(x) because f(-2) = -12
Answers
Answer:
A
Step-by-step explanation:
To determine if (x - 2) is a factor of f(x)
Evaluate f(2) and if equal to zero then (x - 2) is a factor
f(2) = 2³ + 3(2)² - 2 - 18
= 8 + 12 - 2 - 18
= 0
(x - 2) is a factor of f(x) because f(2) = 0 → A
The answer to the question "Use the remainder theorem to determine whether x - 2 is a factor of [tex]f(x) = x^3+3x^2-x-18[/tex]" is option A: Yes, x - 2 is a factor of f(x) because f(2) = 0
The given function is:
[tex]f(x) = x^3+3x^2-x-18[/tex]
The function [tex]f(x) = x^3+3x^2-x-18[/tex] is divided by x - 2
x - 2 will be a factor of [tex]f(x) = x^3+3x^2-x-18[/tex] only if f(2) = 0
Substitute x = 2 into [tex]f(x) = x^3+3x^2-x-18[/tex]
[tex]f(2) = 2^3 + 3(2)^2 - 2 - 18\\\\f(2) = 8 + 3(4) - 2 - 18\\\\f(2) = 8 + 12 - 20\\\\f(2) = 20 - 20\\\\f(2) = 0[/tex]
Since f(2) = 0, then we can conclude that x - 2 is a factor of [tex]f(x) = x^3+3x^2-x-18[/tex]
Learn more here: https://brainly.com/question/22237647
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Answers
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 2^2) / 4
A = (pi x 4) / 4
A = 4pi / 4
A = 1pi = 3.14 square miles
Hope this helps! :)
A biologist tags 25 birds with a band on their foot and lets them go back into the wild. The next year 100 total birds are captured and 5 of them have the foot bands. Enter an estimate of the total bird population. 20
Answers
Answer:
We can estimate a population of 500 birds.
Step-by-step explanation:
We can estimate the total bird population using a rule of three with the information given:
If we find 5 birds with the foot band among 100 birds captured, how many birds there are in total if inicially we put foot bands in 25 birds?
5 birds with foot band -> 100 birds captured
25 birds with foot band -> X total birds
X * 5 = 25 * 100
X = 25 * 100 / 5 = 500 birds
We can estimate a population of 500 birds.
Find the area of the circle below.
12 cm
Answers
Answer:
About 113.1
Step-by-step explanation:
Area of a circle= πr2
Radius= 6
6x6=36
36π= About 113.1
Answer:
work is shown and pictured
Please someone help me I’m confused
Answers
Answer:
a2 =14
a4 = 22
a11 = 50
Step-by-step explanation:
an = 10 + (n-1) *4
n is the term number
Let n =2
a2 = 10 +(2-1)*4 =10 +(1)*4 = 14
Let n =4
a4= 10 + (4-1)*4 = 10 *3*4 = 10+12 = 22
Let n = 11
a11 = 10 +(11-1)*4 = 10 *10*4 = 10+40 = 50
*WILL GIVE BRAINLIEST* the following function represents the production cost f(x), in dollars, for x number of units produced by company 1:
f(x)=0.05x^2-7x+300
The following table represents the production cost g(x), in dollars, for x number of units produced by company 2:
x g(x)
0.6 899.58
0.8 899.52
1 899.50
1.2 899.52
1.4 899.58
Based on the given information, determine which company has a lower minimum and find the minimum value.
a.) f(x) at (1, 899.50)
b.) g(x) at (70, 55)
c.) f(x) at (70, 55)
d.) g(x) at (1, 899.50)
Answers
Answer:
C.
Step-by-step explanation:
By analyzing the functions f(x) and g(x), we can see that they are both quadratic relations.
To find the minimum value, we want to find the y-coordinate of the vertex.
In f(x), by using the formula (-b/2a), we get the x-coordinate of the vertex, 70. When we substitute 70 into the function, we get 55 as our minimum.
In h(x), we can see that the lowest y-coordinate in the given points is 899.52. So (1, 899.50) is our vertex.
This means that in f(x), the minimum production cost is $70. In contrast, in h(x), the minimum production cost is $899.50. Therefore f(x) has a lower minimum, with its minimum value at (70, 55), our vertex.
Answer:
The Answer is C. f(x) at (70, 55)
Hope This Helps!
A certain car's windshield wiper has a total length of 22 inches. As the wiper pivots it clears a sector with a central angle of 120 degrees. If only 18 inches of the wiper cleans the windshield, what is the area (in exact form) of the windshield that is wiped during each swing? 468π inches squared 156π inches squared 160π inches squared 108π inches squared
Answers
Answer: 108π inches squared
Step-by-step explanation:
Formula : Area of sector = [tex]\dfrac{\theta}{360^{\circ}}\times\pi r^2[/tex]
where , r= radius and [tex]\theta =[/tex]
Given : A certain car's windshield wiper has a total length of 22 inches. As the wiper pivots it clears a sector with a central angle of 120 degrees.
If only 18 inches of the wiper cleans the windshield, then we take radius of the range of wiper cleaining = 18 inches
The area of the windshield that is wiped during each swing = Area of the sector made by wiper of with a central angle of 120 degrees.
[tex]=\dfrac{120}{360}\times\pi (18)^2\\\\=\dfrac{18^2}{3}\pi=\dfrac{18\times6}{1}\pi=108\p\text{ inches}^2[/tex]
Hence, the area (in exact form) of the windshield that is wiped during each swing is 108π inches squared.
The mean of 2,4,6,8,10
Answers
Answer:
6
Step-by-step explanation:
to find the mean, you must add all the numbers together and divide by the amount of numbers. for example, 2+4+6+8+10=30. next, you divide 30 by the amount of numbers, which is 5. if you count there are five numbers. so 30÷5=6 :)
can you please help me.
Answers
Answer:
Answer is D.
6 x 3 =1 8
9 x 3 = 27
11 x 3 = 33
14 x 3 = 42
18 x 3 = 54
c = 3 x w
Step-by-step explanation:
An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total
amount of aluminum needed to make the can. Round to the nearest tenth.
7 cm
12 cm
The amount of paper needed for the can's label is
1 cm?
The total amount of aluminum needed to make the can is
cm?
Please help put a bunch of points for this question do
Answers
Answer:
Label: About 527.9 square centimeters
Aluminum: About 835.7 square centimeters
Step-by-step explanation:
Amount of paper needed for the label:
You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be [tex]2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9[/tex].
Amount of aluminum needed for the can:
This time, you need to add in the top and bottom of the can as well, which each have area [tex]\pi r^2[/tex]. Together, they have area [tex]2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9[/tex]. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.
Hope this helps!
if four out of ten people vote, then in a town with two hundred thousand people how many will vote?
Answers
Answer:
80,000 people would answer in a town of 200,000 people
Answer:
80,000 people.
Step-by-step explanation:
Let's use a ratio:
voters : people overall
4 : 10
80 : 200
80,000: 200,000
80,000 out of 200,000 people voted.
The slope of the graph of the equation y = 2 x minus 2 is 2. What is the y-intercept? y-intercept =
Answers
Answer:
(0, -2)
Step-by-step explanation:
y= 2x - 2
To find the y-intercept, or where the graph hits the y-axis, you plug 0 in for x
y= 2(0) - 2
y= -2
because 2 times 0 is 0, then 0 - 2 is -2
If they ask for just the value, it is -2
If they ask for the coordinate, it is (0, -2)
Answer:
the answer is -2
Step-by-step explanation:
% of 10 = 10
I need help with this
Answers
Answer:
100 percent
Step-by-step explanation:
if x of y is y....
x is always 100!
Help NEEDED asap if you dont know atleast comment
Item 11
MODELING REAL LIFE The stem-and-leaf plot shows the number of confirmed cases of a virus in 15 countries.
A stem and leaf plot. A vertical line separates each stem from its first leaf. The first row has a stem of 4 and leaves 1, 1, 3, 3, and 5. The second row has a stem of 5 and leaves 0, 2, 3, and 4. The third row has a stem of 6 and leaves 2, 3, 3, and 7. The fourth row has a stem of 7 and leaf 5. The fifth row has a stem of 8 and no leaves. The sixth row has a stem of 9 and leaf 7. The key shows 5 vertical bar 0 is equal to 50 cases.
Find the mean, median, mode, range, and interquartile range of the data. Round your answers to the nearest tenth, if necessary.
The mean is
.
The median is
.
The modes from least to greatest are
,
, and
.
The range is
.
Answers
I tried to do it and this is what i got
mean - 4.19
median - 3 or 4
Modes L to G - 0,1,1,2,2,3,3,3,3,3,4,4,5,5,5,6,7,7,7,8,9 and the most occuring number is 3
Range - 9
I tried i hope this can help, i'm sorry if not.
As always i would appreciate a brainliest
Can someone help me with this question
Answers
Answer:
b
Step-by-step explanation:
3 + 4x < 2(1 + 2x)
3 + 4x < 2 + 4x
Answer: the second answer
Step-by-step explanation:
If we want to find an inequality with no solution, that means we can expect no x and an unbalanced inequality (e.g., 3<0 which is untrue).
The second one is like that because the inequality is
3+4x[tex]\leq[/tex]2(1+2x)
If we solve it out, we get
3+4x[tex]\leq[/tex]2+4x
When you remove the variable from both sides, you now have
3[tex]\leq[/tex]2
This statement is false, since 2 will never be greater than 3.
If we look at the others, we can see that there are answers for all of them.