Use a net to find the surface area of the right triangular prism shown below:
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First of all the 2 triangles are connected to a base that's 8 by 13.
Base
The area of the base = 8 * 13 = 104 square feet.
Two Triangles.
The area of any triangle is
Area = 1/2 b * h
Area = 1/2 *12 * 5
Area = 30 square feet. There are 2 triangles so ...
The total area of both is 60 square feet.
Overlap
Now we come to the tough part. how big is it from the first dotted line to the second one?
The answer is 5. But why? Well the 5 comes from the the length of the side that has to be covered by this pattern. The 5 is part of the triangle.
How far across is the dotted line? The answer is 8. Why again? That's the width of the whole prism or pattern.
So the area between the two dotted lines is 5 * 8 = 40
Finally the area over the 12.
The question is how far is it from the second dotted line to the last boundary? The answer is 12. And it's width is 8
So the area = 12 * 8 = 96
Total area
96 + 60 + 40 + 104 = 300 square feet.
Related Questions
Which angle measure in the triangle shown is the largest?
A.)
B.)
C.)
D.) Not Possible
Answers
Therefore, I cannot provide an exact answer, however, I will try to help you with the concept.
For a triangle, the measure of each angle is proportional to the length of its opposite side.
This means that:
1- The largest angle is the angle opposite to the longest side
2- The smallest angle is the angle opposite to the shortest side
Since you are looking for the largest angle, pick the one facing the longest side
Some tips and tricks:
1- In a right angle triangle, we know that the hypotenuse is the longest side, therefore, the largest angle would be the right angle
2- In an obtuse triangle, the largest angle is simply the obtuse angle itself (the one whose measure is greater than 90)
3- In equilateral triangle, all three angles are equal
Hope this helps :)
A circle has circumference of 20.7cm. What is the area of the circle? Using 3.14
Answers
20.7=2pi*r
r=3.296 or 3.3
A=pir^2
a=34.1946 or about 34.19
Circumference = 20.7 cm
Circumference of circle= 2πr
20.7= 2×3.14×r
20.7=6.28×r
20.7/6.28= r
r= 3.29 cm
Area of circle = πr^2
Area= 3.14×3.29×3.29
Area= 33.98 cm^2
Hope it helps...!!!
1. which of the following is true and radio waves?
A. they have high energies
B. they reveal hot gasses
C. they can penetrate dist clouds
D. they have short wavelengths
2. which of the following is used in medical imagery?
A. ultraviolet light
B. blue light
C. radio waves
D. X-rays (I think this is it)
3. which of the following has the longest wavelength?
A. Red light
B. radio waves
C. microwaves (I don't know if this is like the kitchen appliance or something else)
D. infrared light
Answers
Answer:
Step-by-step explanation: Sorry im late but here is answers pls brainliest
2.08 Quiz: Electromagnetic Spectrum
C) Radio waves can penetrate distant clouds, D) X-rays are used in medical imaging, and B) radio waves have the longest wavelength.
Explanation:1. C. they can penetrate distant clouds.
Radio waves have longer wavelengths than visible light, which allows them to easily pass through clouds. They are often used in weather radar to detect precipitation and study the atmosphere.
2. D. X-rays
X-rays are commonly used in medical imaging techniques such as X-ray machines and CT scans. They have higher energy than visible light and can penetrate through soft tissues, making them useful for examining bones and internal organs.
3. B. radio waves
Radio waves have the longest wavelength among the given options. They are used for various purposes, including communication, broadcasting, and studying celestial objects in radio astronomy.
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you have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop the painting is 65in high by 105in wide. you are asked to use a 1in=5in scale. what will the dimensions of your poster be? show your work
Answers
The painting is 65in high by 105in wide.
We have to use a 1in=5in scale to make a scale drawing poster of a painting to sell at the gift shop
The dimensions of the poster will be as follows:
Height of the poster = 65/5 = 13 in
Width of the poster = 105/5 = 21 in
Therefore, the dimensions of your poster be 13in high and 21in width
Hope this helps ..!!
Thank you :)
Rearrange the formula, a=1/2bh , to solve for b in terms of A and h.
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A certain recipe calls for 2 2/3 cups of sugar. If the recipe is to be doubled, how much sugar should be used?
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Which is then can be simplified to 5 1/3
hope it helps
Rule start at 1/2, add 1/3
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Change 1/2 into 3/6 and 1/3 into 2/6 and add them together.
What is the perimeter of a 4 m and 5 m rectangle
Answers
The answer is 18m.
Hope this helps!
Catherine finds that in a randomly selected sample of 500 families in her home town, 45% own at least one computer. Her research shows that there are a total of 35,000 families in her town.
Which statements are true? Select EACH correct answer.
A If she collected data for a random sample of 1000 families in her home town, then that percentage would be a better estimate for the percentage of all 35,000 families that own a computer.
B Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer.
C To estimate the percentage well, she would need to collect data for all 35,000 families.
D Since her sample was only 500 families, it is not possible that the percentage is a good estimate for the percentage of all 35,000 families that own a computer.
Answers
Statements A and B are true
Let's analyze each statement based on statistical principles:
A: This statement is true. Increasing the sample size to 1,000 families would yield a better estimate of the true proportion of families owning at least one computer. A larger sample size reduces the margin of error, making the estimate more precise.B: This statement is true. Since her sample was randomly selected, she can reasonably infer that about 45% of the 35,000 families in her town own at least one computer. Random sampling helps in representing the population accurately.C: This statement is false. Collecting data from all 35,000 families, though more accurate, is impractical and unnecessary. A well-conducted survey with a good sample size can provide a reliable estimate.D: This statement is false. Even though the sample size is 500 families, it can still provide a reasonable estimate for the percentage of families owning a computer if randomly selected.Conclusion
Statements A and B are correct, as they follow good statistical sampling practices. Statements C and D are not accurate in the context of the given scenario.
i really need help
;-;
Answers
a. Okay. So we have to make a table for the amount of butterflies to total insects. Let's simplify the ratio. 36:100 simplifies to 9:25. We can use that ratio to make this table. Just multiply 25 by the amount it takes to get to 50 or 100, and multiply by the same amount at the top to find the amount of butterflies. If you do it correctly, your table should be as shown below in the image.
b. On that note, let's solve for the amount of butterflies in the conservatory. There are 450 total of them. Let's divide 450 by 100 to find the amount we will multiply by. 450/100 is 4.5. We will mutliply 36 by that amount to find the total amount of butterflies. 36 * 4.5 is 162. That's it. There are 162 butterflies in the conservatory.
If there was 7 ounces of meat and cheese on each sandwich how many sandwiches were made in the hour and the shop owner used total of 91 combained ounces of meat and cheese?
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Find the center of the circle (x - 3)2 + (y + 3)2 = 36.
A) (3, 3)
B) (3, -3)
C) (-3, 3)
D) (-3, -3)
Answers
Answer:
B) 3,-3
Step-by-step explanation:
What is the area of this figure?
Enter your answer in the box.
units²
Answers
Given is the irregular hexagon.
We can divide the given figure into two triangles and one rectangle, and then find areas of each, and then add all of them to find the final answer.
We can find the dimensions by counting the blocks on graph. Given two triangles are identical in shape with base (b=7) and height (h=2).
The area of triangle [tex] =\frac{1}{2} bh = \frac{1}{2} (7)(2) = 7 [/tex] squared units.
Area of two triangles = 14 squared units.
Rectangle has length (l) same as base (b) of triangle i.e. l=7 and width (w=4).
Area of rectangle = l × w = 7 × 4 = 28 squared units.
Total area = 14 + 28 = 42 squared units.
So, final answer is 42 squared units.
Answer:
[tex]42[/tex] [tex]units^2[/tex]
Step-by-step explanation:
A simpler and faster way of solving this problem is through Pick's Theorem.
The theorem states that the area of any given shape (Specifically polygons) on a grid is the number of internal points (every point inside the shape) added to the quantity of the number of boundary points (Every point that is exactly on a point of the grid and is a part of the perimeter of the shape) divided by 2. Take this quantity and subtract 1 and it shows like so,
[tex]A=I+\frac{B}{2}-1[/tex].
In this case, we see that there are 36 internal points and 14 boundary points. So in turn, we get
[tex]A=36 + \frac{14}{2}-1\\A=36+7-1\\A=43-1\\A=\boxed{42}[/tex]
Hence giving our desired result of 42 square units.
Jennas garden is 5 yd long. How long is her garden in feet?
Answers
You are going to the State Fair and would like to play one carnival game with the hopes of winning a prize. You can only choose one game to play and want to choose strategically so that you increase your chances of winning. Find the probability of winning each game below and explain HOW you found the probability for each game.
With that information, what game you will play? Explain.
Answers
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Ring Toss: There are 12 white bottles out of 36 bottles. Assuming each bottle is equally likely to land on, the probability of getting a white bottle is 12/36 = 1/3 = 0.333 = 33.3% roughly. Note: this is assuming that each toss lands on a bottle and there are no tosses that miss.
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Spinner: There are 8 spaces. Of these spaces, there are 3 spaces we want to land on: 1, 2, or 5. So the probability of winning is 3/8 = 0.375 = 37.5%
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Nine Sided Dice: We want either the value 2 or a number less than 4 (1,2,3). So there are 3 outcomes we want (1,2,3) out of 9 total. The probability of winning is 3/9 = 1/3 = 0.333 = 33.3% roughly which is the same chances of winning as the ring toss
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In summary, the best game to play is the spinner game because this provides the highest probability of winning (which was 37.5%)
the local Swim Center is making a special offer they regular charge is $7 per day to swim at the pool the special offer would have swimmers pee in their room and fee of $30 and then a daily pass will only be $4 a day
Answers
Every day is 7 dollars, which you have already answered.
The second one would be =
day 0 = 30 dollars. And then it would be 4$ for days 1 through 10.
Hope this helps!
The regular and fixed charges are shown by forming the equation and shown in the table.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
Suppose the number of days be x.
Then, as per the question the cost as per the regular charge is $7x.
And, for the offer it is given as $30 + 4x.
Now, the cost for both charges can be calculated for 10 consecutive days as below,
Regular Charge :
For x = 1, 7 × 1 = $7
The table for the given case can be shown as below,
Number of Days Regular Charge Offer Charge
1 $7 30 + 4 × 1 = $34
2 7 × 2 = $14 30 + 4 × 2 = $38
3 7 × 3 = $21 30 + 4 × 3 = $42
4 7 × 4 = $28 30 + 4 × 4 = $46
5 7 × 5 = $35 30 + 4 × 5 = $50
6 7 × 6 = $42 30 + 4 × 5 = $54
7 7 × 7 = $49 30 + 4 × 5 = $58
8 7 × 8 = $56 30 + 4 × 5 = $62
9 7 × 9 = $63 30 + 4 × 5 = $66
10 7 × 10 =$70 30 + 4 × 5 = $70
Hence, the table for both the charges is formed.
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The scatterplot below shows a set of data points.
Which point would be considered an outlier?
(1, 5)
(3, 9)
(5, 4)
(9, 1)
Answers
Answer:
Step-by-step explanation:
Definition of an outlier:
A value that "lies outside" (is much smaller or larger than) most of the other values in a set of data.
Here in the scatter plot we can see that
(3,9) deviates from other values very much.
Outlier An extreme value in a set of data which is much higher or lower than the other numbers. Outliers are to be removed to get accurate results since they have the power to affect the mean value of the data but have little effect on the median or mode of a given set of data.
That is why when outliers are present mean or mode is the better mode to measure central tendency.
In the diagram ,M//N . Identify all of the angles that are congruent to 2
Answers
Answer:
Angles 4, 6 and 8.
Step-by-step explanation:
Let α and β be two angles, these will be congruent angles if they have exactly the same measure, that is, α = β.
A line that cuts two parallels forms congruent angles.
When two intercept lines form 4 angles. Those that are opposite to each other are vertical angles, these are always congruent.
In the diagram you can see that the angles congruent to 2 are: 4, 6 and 8.
Angle 4 is opposite to the angle 2, therefore it is congruent.
Angle 6 has the same measure of angle 2 because the lines m and n are parallel.
Angle 8 is opposite angle 6, so it is congruent to angle 2 which is equal to angle.
Hope this helps!
a cross section of the prism shown is parallel to a base. The area of the cross section is 78.5 square feet. The ratio of AB to BC is 5:4. The length of AB is 10 feet. Find the volume of the prism.
Answers
Area of cross section= 78.5 ft²
Ratio of AB to BC= 5 : 4
AB=10 ft
To find BC, we get
5/4=10/BC
5BC=40
BC=8 ft
Now formula for volume of prism:
V=Area of base x height
Put values
V=78.5 x (10+8)
V=78.5 x 18
V=1413 ft²
Answer: 1413 ft²
what is the slope of the line that passes through the points (2 3) and (–2 6)?
A. -3/2
B. -3/4
C. 3/4
D. 0
Answers
------------------------------------------
Work Shown
Slope Formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-2-2)
m = (3)/(-4)
m = -3/4
Basically what you do is subtract the y coordinates (6 and 3) and then do the same for the x coordinates (-2 and 2) in the same order. After subtracting, you divide the differences. Reduce the fraction if possible.
The slope of -3/4 means each time we go down 3, we move to the right 4 units. This line is going downhill as you read it from left to right.
Hello!
Answer:
B. -3/4
*The answer must have a fraction.*
Step-by-step explanation:
Slope: [tex]\frac{Y^2-Y^1}{X^2-X^1}=\frac{rise}{run}[/tex]
[tex]\frac{6-3=3}{(-2)-2=-4}=\frac{3}{-4}=-\frac{3}{4}[/tex]
Slope is -3/4
Answer is -3/4
Hope this helps!
Thanks!
-Charlie
Have a great day!
:)
:D
A car’s original price was $26,500. Mr. Thomas paid $21,730. What percent discount did Mr. Thomas receive on the car?
Answers
Final answer:
Mr. Thomas received an 18% discount on the car purchased for $21,730 from an original price of $26,500.
Explanation:
Mr. Thomas received a discount on the car he purchased, and we can calculate the percent discount using the original price and the sale price. The formula for percent discount is: Percent Discount = ((Original Price - Sale Price) / Original Price) × 100%. Applying this to the given numbers:
Original Price = $26,500
Sale Price = $21,730
The difference between the original price and the sale price is the discount amount:
Discount Amount = Original Price - Sale Price
Discount Amount = $26,500 - $21,730
Discount Amount = $4,770
Now we use the formula to calculate the percent discount:
Percent Discount = ($4,770 / $26,500) × 100%
Percent Discount = 18%
Therefore, Mr. Thomas received an 18% discount on the car.
The line of best fit in a scatter plot is ___________________________.
A. the most accurate trend line for the data represented.
B. how well the equation fits the model.
C. one that forms four right angles on the plane.
Answers
A coin weighs about 14^−2 pounds. Find the weight of 1000 of the coins. Round your answer to the nearest tenth.
1000 of the coins weigh about ______ pounds.
Answers
Answer:
1000 of the coins weigh about 5.1 pounds.
Step-by-step explanation:
Consider the provided information.
A coin weighs about 14^−2pounds.
This can be written as:
[tex]14^{-2}=\frac{1}{14^2}=\frac{1}{196}[/tex]
Now we need to find the weight of 1000 coins.
To find this simply multiply the weight of one coin with 1000.
[tex]\frac{1}{196}\times 1000=5.10\approx 5.1[/tex]
Hence, 1000 of the coins weigh about 5.1 pounds.
Use the given set of data values to answer the question below. 32, 21, 68, 21 Which measure of central tendency would prove to be most effective in emphasizing how small the data values are?
Answers
How do you write 3.42 in words
Answers
Katrin’s monthly payment for electricity went down from £38.60 to £34.20 she thinks this means that her monthly payment has gone by 1/6. Is katrin correct? Show how you think this?
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[tex]\frac{4.4}{38.6} = 0.114 \\ \\ \frac{1}{6} = 0.1\bar{6}[/tex]
The bill did not decrease by 1/6.
Katrin's claim about her monthly payment going down by 1/6 is incorrect.
Explanation:To determine if Katrin's monthly payment has gone down by 1/6, we need to compare the difference between her old monthly payment (£38.60) and new monthly payment (£34.20) with 1/6 of her old monthly payment. Taking 1/6 of £38.60, we get £6.43.
The actual difference between her old and new monthly payment is £38.60 - £34.20 = £4.40. This difference is not equal to £6.43, so Katrin's claim is incorrect.
Therefore, Katrin's monthly payment has not gone down by 1/6.
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A Number with a zero as an exponent is equal to 0
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Alesia , mama si bunica ei au primit , in total , 221 de martisoare . Alesia a primit de trei ori mai putine martisoare decat ama sa , insa de trei ori mai multe decat bunica. Afla cate martisoare a primit fiecare.
Answers
Alesia, her mother and grandmother received a total of 221 marshmallows. Alesia received three times less marshmallows than his mother, but three times more than his grandmother. Find out how many marshmallows each received.
Let
x--------------------> number of marshmallows received for Alexia
y--------------------> number of marshmallows received for the mother
y--------------------> number of marshmallows received for the grandmother
we know that
x+y+z=221
x=y/3----> Alesia received three times less than his mother-----> y=3x
x=3z----> Alesia received three times more than his grandmother---> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17
the answer is
Alexia received 51 marshmallows
the mother received 153 marshmallows
the grandmother received 17 marshmallows
the answer in Romanian
lăsa
x--------------------> numărul de martisoare primit pentru Alexia
y--------------------> numărul de martisoare primite pentru mama
y--------------------> numărul de martisoare primite pentru bunica
noi stim aia
x+y+z=221
x=y/3----> y=3x
x=3z----> z=x/3
x+y+z=221-------> x+(3x)+(x/3)=221
4x+(x/3)=221--------> (12x+x)/3=221-----> 13x= 663
x=663/13=51
y=3x----> 3*51=153
z=x/3----> 51/3=17
raspunsul este
Alexia a primit 51 martisoare
mama a primit 153 martisoare
bunica a primit 17 martisoare
Intervals should be of unequal size. True False
Answers
The size of intervals depends upon the type of question. However, the equal intervals help in organizing and analyzing the data.
Most of the mathematical formula are also applicable only on equally sized interval data.
Lorelei filled her 5-gallon jug water. How many times could she fill her 2-quart canteen with water from the jug? Explain.
Answers
Answer: 10 times
Step-by-step explanation: