Mr. Millar's garden is in the shape of a trapezoid shown below. What is the area of the garden?
Answers
Answer:
12.5 unit square
Step-by-step explanation:
The area of a trapezoid is calculated with the following formula:
(b1 + b2)*h/2 (b1: base, b2: base, h: height)
(4+6)*(2.5)*2 = 12.5
Related Questions
11. The chess club has 50 members. They want to raise $680 for a trip to a competition. The school will give $130. How much must each member pay?
Answers
Answer:
$11
Step-by-step explanation:
Total members = 50 , Raised amount = $680
If school gives $130 then all the 50 members will pay the remaining amount.
Remaining amount to be paid by the 50 members = $680 - $130 = $550
50 members = $550
1 member = $550/50
1 member = $ 11 ( Answer)
how many solutions does 5-2x=4-2x+4-x have
Answers
Answer:
One solution, being x = -3
Step-by-step explanation:
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Answers
For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21
To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5
Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).
Range: The range is the difference between the largest and smallest values in the dataset.
For Mountain View School:
Range: 9 - 0 = 9
For Seaside School:
Range: 9 - 0 = 9
Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.
For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4
For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5
To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.
Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.
For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.
Part B:
For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.
For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.
Part C:
If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.
The cable provider's "triple play" package offers a land line, internet service, and cable TV for one fixed price. If you already subscribe to their cell phone service they offer an additional 12% off the price of the triple play package. If the discounted price of the triple play is $132, what is the price of the package without the discount?
Answers
Answer:
$166.16
Step-by-step explanation:
The price of the triple play package without the discount is $150.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Discount for the triple play package if you already subscribe to their cell phone service = 12%
Price of the triple play package with discount = $132
Let x be the price of the triple package without discount.
x - (x × 12%) is the discounted price of the package.
x - (12% × x) = 132
x - (12/100 × x) = 132
x - (0.12 x) = 132
0.88x = 132
x = 132 / 0.88
x = 150
Hence the price of the package without discount is $150.
To learn more about Percentage, click on the link given below :
https://brainly.com/question/28998211
#SPJ2
HELP PLS ASAP!! The point (–5, –9) was reflected over an axis to become the point (5, –9). Which axis was it reflected over? Explain.
A. x-axis, because the x-coordinate is the opposite
B. x-axis, because the y-coordinate is the opposite
C. y-axis, because the x-coordinate is the opposite
D. y-axis, because the y-coordinate is the opposite
Answers
Answer:C
Step-by-step explanation: -5, -9 would be on the bottom left. 5, -9 would be on the bottom right of the graph
Answer: c
Step-by-step explanation:
HELLLLLLLLLLLLLLPPPPP!!!!!!!!!!!! ASAP!!!! Two linear equations are represented by using the tables below. A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2. A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4. The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2). What is the solution to the system of equations? (–6, –4) (–5, –4) (–3, –2) (0, 1)
Answers
Answer:
(-1, -5)
Step-by-step explanation:
When you graph the points, you find that the lines intersect at the point (-1, -5). That is the solution to the system of equations.
(x, y) = (-1, -5)
Answer:
(-3, -2)
Step-by-step explanation:
Equation A has ordered pairs (-5, -4) (-2, -1) (0, 1) (1, 2).
Equation B has ordered pairs (-6, -4) (-3, -2) (3, 2) (6, 4).
So...
Equation A has the equation y=x+1
Equation B has the equation y=2/3x.
These lines intersect at (-3, 2) so that is the solution.
HELP ASAP
Find the surface area of the prism. Write your answer as a decimal.
A triangular prism. The base triangle is a right triangle with base of 10 inches, height of 9 inches, and hypotenuse of 13.5 inches. The height of the prism is 9 inches.
Answers
Answer:
5
Step-by-step explanation:
9×9 - 13.5 ÷10=9 =*÷&#>÷<$<÷>#*#*#*#*#*=*/&=
The area of the triangular base is:
Area = (1/2) * base * height = (1/2) * 10 in * 9 in = 45 in^2
The area of the three rectangular faces is:
Area = length * width
For the rectangular face adjacent to the base triangle, the length is the hypotenuse of the base triangle, which is 13.5 inches, and the width is the height of the prism, which is 9 inches. Therefore, the area is:
Area = 13.5 in * 9 in = 121.5 in^2
For the other two rectangular faces, the length is the hypotenuse of a right triangle with legs of 9 inches and 10 inches, which can be found using the Pythagorean theorem:
c^2 = a^2 + b^2
c^2 = 9^2 + 10^2
c = sqrt(81 + 100) = sqrt(181) ≈ 13.45 in
The width is still 9 inches, so the area of each face is:
Area = 13.45 in * 9 in ≈ 121.05 in^2
Therefore, the total surface area of the prism is:
Surface Area = 2 * Area of Base + 3 * Area of Rectangular Face
Surface Area = 2 * 45 in^2 + 3 * 121.05 in^2 ≈ 549.15 in^2
Rounding to two decimal places, the surface area of the prism is approximately 549.15 in^2.
Can someone help me and tell me what this is I dont get it
Answers
Answer:
of the First rectangle Is smaller than the second the factor Is greater than One , if the First and the second are the same the scale factor Is one, and of the First Is bigger than the second the factor Is less than one
so:
a greater
b greater
c less
D greater
e equal
f less
g equal
Answers in bold:
P to Q: greater than 1P to R: greater than 1Q to S: less than 1Q to R: greater than 1S to P: equal to 1R to P: less than 1P to S: equal to 1========================================================
Explanation:
We have these three rules for scale factors
scale factor > 1, enlarge the image0 < scale factor < 1, shrink the imagescale factor = 1, the preimage and image are identicalWith those rules in mind, we have enlargements for these transformations.
P to QP to RQ to RAll of which represent some scale factor larger than 1. We don't have enough information to pinpoint what that scale factor would be.
In other words, if you go from small to big, then you apply some scale factor larger than 1 to enlarge the image.
----------------
We also have these reductions
Q to SR to PThis is where we go from big to small. The image shrinks and we use some scale factor between 0 and 1.
----------------
And finally we have these transformations in which the size of the image does not change. Therefore the scale factor is 1.
P to SS to PThe order doesn't matter for this subset, but the order will matter for the other batches of transformations.
Wat is the product of 8/9 and 2/7
Answers
Answer:
16/63
Step-by-step explanation:
Given problem,
→ (8/9) × (2/7)
Let's solve the problem,
→ (8/9) × (2/7)
→ (8 × 2)/(9 × 7)
→ 16/63
Hence, answer is 16/63.
Please help ASAP! -screenshot-
Brainlist 2 correct answers!
Answers
Answer:
P(not blue) = 1 - P(blue) = 1 - 10/50 = 40/50
= 4/5
P(2) = 5/20 = 1/4 = 25%
Solve the equation s - 12 = 20
s = ?
Answers
\(\bold{s =12+20}\)
\(\bold{32= 12+20}\)
\(\boxed{\boxed{\bold{Answer:32}}}\checkmark\)
Good luck on your assignment and enjoy your day!~\(\frak{LoveYourselfFirst:)}\)Answer:
Step-by-step explanation:
Here you go mate
Step 1
s-12=20 Equation/Question
Step 2
s-12=20 Simplify
s-12=20
Step 3
s-12=20 add 12 to sides
s-12+(12)=20+(12)
Step 4
s-12+(12)=20+(12) Add them
answer
s=32
HELPPPPPPPPPP!!!!!!!!!!!
Corresponding angles are supplementary.
Vertical angles are supplementary.
Vertical angles are congruent.
Corresponding angles are congruent.
Answers
Answer:
Vertical angles are congruent.
Step-by-step explanation:
Angles 1 & 4 are vertical angles. They are created using only two lines that cross(intersect). Line a and the unmarked, kind of diagonal line (its the transversal) intersect to create four angles. Two of them are marked Angle1 and Angle4; they are vertical angles. They are congruent.
Answer:
4 and 2 are corresponding and 1 and 2 are corresponding so thats how Vertical angles are congruent.
Step-by-step explanation:
:D
Help pls!! it's urgent.
Answers
Answer:
Step-by-step explanation:
In 2009 there were about 234 million websites on the internet.
What is this number in
scientific notation?
Answers
(pls help? u will get brainliest)
The height of a roller coaster's lift hill is 4 feet more than 3 times the height of its next tallest hill.
If the height of the lift hill is 358 feet, how tall is the next tallest hill?
Answers
Answer:
123
Step-by-step explanation:
Answer:
Next highest hill is 118 feet tal
Step-by-step explanation:
Lift hill = L
Next tallest = N
L = 3N + 4
L = 358
358 = 3N + 4
-4 -4
354 = 3N
/3 /3
118 = N
what is the LCD of 3/10 & 2/5
Answers
Answer:
30
Step-by-step explanation:
A stadium has seats that are arranged into sections. In each section, the seats
are arranged into rows. There are 11
sections, 7 rows in each section, and 10
seats in each row. As a baseball game
in the stadium, all of the seats are
occupied. A seat will be chosen at
random and a price will be awarded to
the person sitting in that seat. If Hoda is
sitting in one of the seats, what is the
probability that she will win the price?
Answers
Answer:
1/770
Step-by-step explanation:
7x10x11=770 he is sitting in one seat so 1/770 she will win.
Which equation correctly applies the distributive property?
I think the answer is D but I'm not sure. Thanks for helping
Answers
Answer:
Yes you are correct, the answer is D
Step-by-step explanation:
the answer is still 420 regardless if you do :
\(42*(3.5+1.3+5.2)\\\)
or
\((42* 3.5)+(42* 1.3)+(42 *5.2)\)
Please help me with the question below 10 points each pls explain as well or I'll report you thanks :)
Answers
Answer:
middle
Step-by-step explanation:
The length of line segment AD is 6.8 cm. The length of line segment AB is 3 cm. The length of line segment BC is 1.6 cm. Find the length of line segment CD.
Answers
Answer:
9.6
Step-by-step explanation:
This is a four side figure which is most likely to be a trapezium.So AD is the hypotenuse,AB is side (a),BC is the height and CD is side (b).
31. Roger has 50 comic books in his collection and he got 10 more. Tom has 60 comic books in his collection and he sold 10% of his books. Enter the total number of comics in their combined collections.
Answers
Answer:
114 comics
Step-by-step explanation:
roger - 50 + 10 = 60
tom - 60 - 10% = 54
60 + 54 = 114
Hope this helped and have a great day
Answer:
Hello friend! :)
Step-by-step explanation:
SO, lets break this down
Roger: 50 + 10 = 60
So next we need to figure out whats 10% of 60 which is 6
60-6=54
114! hope this helps
I only have two questions from my homework that I don't have done, and I need a bit of help, please end thank you!
Answers
100 points!
please help i dont know the math of how to do this 3
please dont just put anything to get the points if you dont know dont asnwer thank you!
also brainliest!!
Answers
Answer:
A) 23542
B) 2457
C) 40
D) 8
Step-by-step explanation:
B should be 2457
C should be 40
And D should be 8 I think
Please answer Questions 12-18! Please show work and explanations because I was absent in class and I have NO IDEA how to do this! If you are right, I will award you 60 points!! PLS HELP!!
Answers
Answer:
12) v=0
13) w=9
14) y=5
15) z=-8
16) n=2, m=-2
17) x=3
18) 1, because \(2^{4}/{2^{4} =1\). Therefore \(2^{4}/{2^{4} = 2^{4-4}=2^{0}=1\)
Step-by-step explanation:
12) Exponent Zero rule. Anything raise to 0 power equals 1.
13) Exponent Negative rule: \(b^{-n} =\frac{1}{b^n}\)
14) Exponent Quotient rule: \((a^n/a^m)=a^{n-m}\)
In this case, \((3^3/3^5)=3^{3-5}=3^{-2}=1/3^2=1/9\)
15) Exponent Product rule: \((a^n*a^m)=a^{n+m}\)
In this case, \((5^8*5^{-8})=5^{8-8}=5^0=1\)
16) Same rule as #15, \((7^2*7^{-2})=7^{2-2}=7^0=1\)
17)We can work backwards here, we know \(2^{2} = 4\) and \(3^{1} =3\), so we need \(2^2/3^1=4/3\).
To achieve this, use Exponent Quotient rule, what x-4=1? x=5.
Similar base: \((3^5/3^4)=3^{5-4}=3^{1}=1/3\). Put \(2^{2}\) back for \(\frac{4}{3}\)
18) 1*1*1*1=1. Anything raise to 0 power equals 1 (Exponent Zero rule). To prove this, any number(except 0) divided by itself equals 1.
Ex: 1/1=1, 4/4=1, \(2^4/2^4=1\).
We can prove this with the Exponent Quotient rule. \(1=\frac{3}{3} =\frac{3^1}{3^1}=3^{1-1}=3^0=1\). No matter how I write it, it's equal to 1.
The one exception is \(0^{0}\), which is undefined, since dividing by zero is illegal.
Hope this helps. ;)
Answer:
12) v=0
13) w=9
14) y=5
15) z=-8
16) n=2, m=-2
17) x=3
18) 1, because . Therefore
Step-by-step explanation:
12) Exponent Zero rule. Anything raise to 0 power equals 1.
13) Exponent Negative rule:
14) Exponent Quotient rule:
In this case,
15) Exponent Product rule:
In this case,
16) Same rule as #15,
17)We can work backwards here, we know and , so we need .
To achieve this, use Exponent Quotient rule, what x-4=1? x=5.
Similar base: . Put back for
18) 1*1*1*1=1. Anything raise to 0 power equals 1 (Exponent Zero rule). To prove this, any number(except 0) divided by itself equals 1.
Ex: 1/1=1, 4/4=1, .
We can prove this with the Exponent Quotient rule. . No matter how I write it, it's equal to 1.
Find the solution set of the inequality.
10c + 5 ≤ 45
Answers
-
Evaluate. (−6+8)−2 Please help me
Answers
(-6+8)-2
The answer is 0
Please help me! im on an assignment an cant figure it out
Answers
Step-by-step explanation:
The difference beteen 9.2 ounces and 8.1 ounces is 1.1 ounces
and the difference in price is .49
so 1.1 ounces cost .49
$ .49 / 1.1 oz = $ .445 per ounce
Then Reid's bowl should cost 7.8 oz * $ .445 / oz = $3.47
Solve the system of equations using the elimination method. 1. 3 − 2 = 10 7 + 2 = 30 pls hurry
Answers
Answer:
1 = 72 = 30
Step-by-step explanation:
I think that is answer but im not sure if the 10 is being multipilied by the 7.
1. 10 times 7 = 70 + 2 = 72
2. 3-2 =1
3. 1 = 72 = 30
Please help ASAP!!!
The expression (x - 0.35x) represents 35% off the cost of an item x. How is this equivalent to multiplying x by 0.65?
Answers
Answer:
Step-by-step explanation:
1-0.35=0.65x-0.35x=0.65x0.65x is the same as saying 0.65*xThe length of a rectangular garden is 20 feet and the width is 15 feet. What is ratio of length to width?
Answers
Answer: 4:3 because 20 divided by 5 is 4 and 15 divided by 5 is 3.