When the pentagon is drawn to scale then its value of x will be x=3.3 cm
What is the pentagon?The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}[/tex]
For bigger pentagon
[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}[/tex]
Since both, the ratio is the same
[tex]\dfrac{x}{7} =\dfrac{7}{15}[/tex]
[tex]x=\dfrac{49}{15} =3.3\ cm[/tex]
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
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Hunter wants to make money over the summer by selling lemonade. he has $50 in savings. he spends $20 on a pitcher and reusable cups. doing the math, he realizes that sugar, lemons, and water will cost $.75 per serving. what is the greatest number of cups that can be made before hunter runs out of his budget?
Hunter can make a total of 40 cups before he runs out of budget.
How much money does Hunter have to make lemonade?We know his total budget was $50 but he already spent $20 on a pitcher and cups.
$50 - $20 = $30This means the total of money just for the lemonade is $30.
How many lemonade cups can he make?To find this number divide the budget for lemonade by the cost of a lemonade cup $0.75.
$30 / $0.75 = 40Based on this, the total of cups he can make is 40 cups.
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Variables A basic cheese pizza is $6.50 and each additional topping cost $1.50 write the right and paragraphs equation and two variables that represent a total of cost of a single pizza
Answer:
i don't really know but I love pizza
PLS help im going insane
Answer:
B) 240
Step-by-step explanation:
If you want an explanation, just ask.
Hope this helps! Pls give brainliest!
WILL GET BRAINLIEST!!!!!!
Answer:
d=8
e=11.31
Step-by-step explanation:
side8 and side(d) are the same length
8squared+8squared=128
[tex]\sqrt{128}[/tex]=11.31
hope this helps!
Answer:
d = 8 and e = 8√2 ( e = 11.31 do the nearest hundredth)
Step-by-step explanation:
This is a 45-45-90 triangle so the sides are in the ratio 1:1:√2
So d = 8
and
e = 8√2.
solve for x and round please
Answer:
9.6
Step-by-step explanation:
6.4/x = sin42
x = 6.4/sin42
x = 9.56
Please help im confused.
Answer:
The first choice is the answer.
Step-by-step explanation:
Is .26 greater than or less than 20/75
Answer:
20/75 is lesser than 26
Step-by-step explanation:
Hope this helps U
Answer:
Less than
Step-by-step explanation:
Simply convert 20/75 and compare the two:
0.26 O .266666666666666666666666
0.26 < .2666666666666666666666666
Therefore, 0.26 is less than 20/75
f the last 18 trains to pull into Castroville Station, 12 were full. Considering this data, how many of the next 12 trains would you expect to be full?
Answer:
8
Step-by-step explanation:
first multiple 12 by 12 then divide by 18 then you'll get 2 times 4 and that's how you get 8.
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
Find the area of triangle
So we see one large triangle, that can be split into two triangles split by the thin dotted line:
the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem
[tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]
Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle
[tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]
Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:
--> 34.77 + 11 = 45.77
The height as found in the first initial step is 23.56 thus the area is
Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]
Hope that helps!
Jacob and his father measured the lengths of scrap wood in their yard. Make a line plot of their data.
The line plot is used to show the lengths of the scrap woods using check marks above the line
How to draw the line plotFrom the question, we have the following frequency table
Lengths Frequency
[tex]4\frac 18[/tex] 2
[tex]4\frac 14[/tex] 3
[tex]4\frac 38[/tex] 1
[tex]4\frac 12[/tex] 6
[tex]4\frac 58\\[/tex] 1
[tex]4\frac 34[/tex] 2
[tex]4\frac 78[/tex] 2
[tex]5[/tex] 1
Next, we plot the number line.
Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis
See attachment for the line plot
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Answer:
Step-by-step explanation:
Lashonda reads a book at a rate of 12 chapters per hour. How many chapters does she read in 3 hours?
Answer:
12×3=36
Step-by-step explanation:
hope ththis helped :))
In Juneau, Alaska, the 30-year annual snowfall average is 86. 7 inches with a standard deviation of 40. 4 inches. The last four years saw an average annual snowfall of 115. 7 inches, 62. 9 inches, 168. 5 inches, and 135. 7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make? The z-statistic is 1. 44, so the null hypothesis cannot be rejected. The z-statistic is 1. 68, so the null hypothesis cannot be rejected. The z-statistic is 1. 85, so the null hypothesis should be rejected. The z-statistic is 4. 6, so the null hypothesis should be rejected.
The z-statistic is 1. 68, so the null hypothesis cannot be rejected.
What is null hypothesis?The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.
To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score,
we have z-score = (x – μ) / (σ / √n)
where x is the computed/measured value,
μ is the expected mean, σ is the standard deviation,
and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.
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Answer:
B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.
Step-by-step explanation:
edg 22, got 100 on unit test
PLEASE HELP ME I CANT GET IT RIGHT
Answer:
Area=½b×h
Area =½×20×8=80m²
=80m²hope it helps!
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.
Which statements are correct?
Select each correct answer.
The heights of the Warriors’ players vary more than do the Panthers’ heights.
The heights of the Buffaloes’ players and those of the Panthers vary about the same amount.
The heights of the Panthers’ players and those of the Warriors vary about the same amount.
The heights of the Buffaloes’ players vary more than do the Warriors’ heights.
Team Mean height (cm) MAD (cm)
Buffaloes 163 7.9
Panthers 179 8.1
Warriors 178 5.8
Answer:
1 and 3
Step-by-step explanation:
Answer:
The heights of the buffaloes’ players vary more than do the warriors’ heights.
The heights of the buffaloes’ players and those of the panthers vary about the same.
Step-by-step explanation:
credit to km1329 in a comment
Answer it and you get points
Answer:
79 (first blank)
131 (second blank)
157 (last blank)
Step-by-step explanation:
92-13 to get the first blank, and you get 79.
118+13 to get the second blank, and you get 131.
144+13 to get the last blank and you get 157.
----------------------------------------------------------------------------------------------------------
Check your work:
79+13=92
92+13=105
105+13=118
118+13=131
131+13=144
144+13=157
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
Step-by-step explanation:
89 131 157 this is the answer
After eating at a restaurant, Mr. Jackson’s bill before tax is $42.50 The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter based on the pre-tax amount. Part A. How much is the tax?
Answer:
$3.40
Step-by-step explanation:
Look at image above...
What is the volume of this right prism? 1200 in³ 1800 in³ 2040 in³ 3600 in³ Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.
Please help asap!!!
Volume of right prism is 1800 in³, So option 'B' is the correct answer to the following question.
Volume of right prismWhat information do we have?
Height of the prism is labeled = 15 in.
Base of the prism is a triangle with the base = 30 in
Height labeled = 8 in
Volume of right prism = Area of base triangle × Height
Volume of right prism = (1/2)(b)(h) × Height
Volume of right prism = (1/2)(30)(8) × 15
Volume of right prism = (30)(4) × 15
Volume of right prism = 120 × 15
Volume of right prism = 1800 in³
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Answer:
The answer is B. 1800 [tex]in^{3}[/tex]
Step-by-step explanation:
I took the test
tthx for the help can you answer this question
Answer:
A = 41
B = 31
Step-by-step explanation:
angles in a triangle add up to 180 degrees
the three angles in this triangle: 108, x+5, x-5
added up, we get
108 + (x+5) + (x - 5) = 180
= 108 + 2x + 5 - 5
= 108 + 2x
subtract 108 from both sides to isolate the variable and its coefficient
72 = 2x
divide both sides by 2 to solve for x
x = 36
A = x + 5 = 36 + 5 = 41
B = x - 5 = 36 - 5 = 31
Which is an equivalent fraction for
?
A
12\frac{1}{2}
2
1
B
26\frac{2}{6}
6
2
C
46\frac{4}{6}
6
4
D
32\frac{3}{2}
2
3
Answer:
I believe the answer is C
Step-by-step explanation:
I understand I need help on this.
Answer:
A. 168 units³
Step-by-step explanation:
volume = area of bas × height
volume = (6)(7)/2 × 8
volume = 168 units³
-12p+3p×2
please show me all the workings
True or false if you took a true of them statement inserted a not in each clause and reversed the clauses the new statement would also be true
Answer:
true
Step-by-step explanation:
No chi-square The principal in Exercise 7 also
asked the random sample of students to record
whether they did all of the homework that was
assigned on each of the five school days that week.
Here are the data:
Monday Tuesday Wednesday Thursday Friday
School day
Number who did
all homework
34
29
32
28
19
Explain carefully why it would not be appropriate
to perform a chi-square test for goodness of fit using
these data.
oh
The random sample of the students is an illustration of sampling
The chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.
How to determine the reason chi square is not appropriate?The dataset is given as:
Monday 34
Tuesday 29
Wednesday 32
Thursday 28
Friday 19
The variable of the above dataset is a not a categorical dataset.
One of the conditions of the chi-square test for goodness of fit test is that the variable under study must be categorical.
Hence, the chi-square test for goodness of fit is inappropriate because the variable under study is not categorical.
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i don't understand this at alllll :(
Answer:
300
Step-by-step explanation:
volume of rectangle formula:
HEIGHT*WIDTH*LENGHT*
12*10(1/2)*20(1/4= 300
Answer:
2551.5in³
Step-by-step explanation:
this is easy if you know the formula.
volume = l*w*h
= 20.25*10.5*12= 2551.5in³
i need help
will give 30 points
Answer:
Step-by-step explanation:
A shoebox has a length of 1 1/4 feet, a width of 1 foot, and a height of 1/2 foot cubes that measure 1/4 foot on each side are packed into the shoebox. how many of these cubes will fit inside the shoebox
The number of cubes that will fit into the shoebox is 40 cubes
How to calculate the volume of a boxVolume is the measure of a substance an object contains
Volume of the box = length * width * height
Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit
Determine the volume of the box
Volume of the box = l³
Volume of the box = (1/4)³ = 1/64 cubic units
Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes
Hence the number of cubes that will fit into the shoebox is 40 cubes
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IMAGE BELOW I WIL GIVE BRANLIEST
Answer:
The scale factor is 2.
Step-by-step explanation:
From the coordiante plane, we can see that:
Point H(4) has been expanded to 4 {4 · 2 = 8}
Point G(1) has been expanded to 2 {1 · 2 = 2}
Point I(-2) has been expanded to -4 {-2 · 2 = -4}
hope this helps!
Please help me on this
Answer:
[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]
[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]
Are all relations functions
Answer:
no
Step-by-step explanation:
well
it's because in function one element of first is only associated with one element of second set
but in relation one element of first set may be associated with many elements of set second