Gio is studying the rectangular pyramid below.
He believes the surface area, in square millimeters, can be found by simplifying this expression.
(4.2)(9.6)+1/2(4.2)(6.5)+1/2(9.6)(4.8)
What error is Gio making?
He used the wrong values as the bases of the lateral faces.
He used the wrong expression to represent the area of the base of the pyramid.
He used two different values as the heights of the lateral faces. NOT C
He used an expression for surface area that did not include all the faces.
PLZZ HELP
Answers
the answer is A. hope this helps!!!!
The error that Gio is making in finding the surface area of the rectangular pyramid is that He used an expression for surface area that did not include all the faces.
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Given a rectangular pyramid.
Pyramid consists of one rectangular side and 4 triangular faces of which each pair of triangular faces is identical.
Total surface area of the pyramid is the total surface area of each faces.
Area of rectangular face = (4.2) (9.6)
Area of the triangular faces = [2 × 1/2 × 4.2 × 6.5] + [2 × 1/2 × 9.6 × 4.8]
= (4.2) (6.5) + (9.6) (4.8)
Total area = (4.2) (9.6) + (4.2) (6.5) + (9.6) (4.8)
So his mistake is that he only find the areas of two triangular faces.
Hence the correct option is that He used an expression for surface area that did not include all the faces.
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Related Questions
2. The robot was initially placed at position (6,9), and at = 2 seconds, its position is (10,15).
a. How far did the robot travel in 2 seconds?
b. What is the speed of the robot?
Could you work it out
Answers
what's its speed? well, it traveled √(52) in 2 seconds, so is simply √(52)/2, which is about 3.6 units per second.
Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain. Given XY = WZ and XW = YZ
a.
No; you cannot determine that the quadrilateral is a parallelogram.
b.
Yes; two opposite sides are both parallel and congruent.
c.
Yes; opposite sides are congruent.
d.
Yes; diagonals of a parallelogram bisect each other.
Answers
If both pairs of opposite sides of a quadrilateral are congruent, then you'll always have two opposite pairs of parallel sides. Congruent means that they measure the same. Since two congruent sides separating the other pair of opposite sides must always keep those opposite lines the same distance apart, then, the opposite sides are also parallel.
From the information provided a. No; you cannot determine that the quadrilateral is a parallelogram.
A parallelogram is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and congruent to each other. The diagonals of a parallelogram bisect each other.
Given XY = WZ and XW = YZ, this means that the opposite sides are congruent.
Just from the information provides, we cannot determine that the quadrilateral is a parallelogram.
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A rectangular floor space in a community center is 40 ft long and 32 ft wide. A volunteer is setting up chairs on the floor space. Each chair needs an area of approximately 4 ft by 5 ft.
Which estimate best approximates the number of chairs that can be set up on the floor space?
A. 20
B. 60
C. 260
D. 320
Answers
Answer:
60
Step-by-step explanation:
Just confirming for the K12 students ;)
If y varies directly as x and y=12 when x=72, find x when y=9
Answers
648 ÷ 12 = 54
x = 54
Hope this helps :)
Heidi has $4.55. She needs to buy bolts at the hardware store . Bolts cost$0.13 each. How many bolts can Heidi buy.
Answers
Number of bolts she can buy = $4.55 ÷ $0.13 = 35
Answer: 35
One bolt = $0.13
Hence, divide 4.55 by 0.13
[tex]4.55 \div 0.13 = 35[/tex]
Answer : Heidi can buy 35 bolts.
Hope this helps. - M
The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, what was the price of the jacket? express your answer as a simplified fraction or a decimal rounded to two places.
Answers
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes. Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67
Final answer:
To find the price of the jacket, set up a system of equations with the given information and solve for the jacket's price. The final calculated price of the jacket is $46.67.
Explanation:
The total cost of a jacket and a pair of shoes was $99.15. The price of the jacket was $5.81 less than the pair of shoes. Let's denote the price of the jacket as j and the price of the shoes as s. The problem gives us the following system of equations:
1) j + s = $99.15
2) s = j + $5.81
By substituting equation 2 in equation 1, we get:
3) j + (j + $5.81) = $99.15
Simplify and solve for j:
4) 2j + $5.81 = $99.15
5) 2j = $93.34
6) j = $46.67
Therefore, the price of the jacket is $46.67, which is the answer rounded to two decimal places as the student requested.
Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality mc019-1.jpg to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?
She chose the incorrect relation and should have solved 5x<30
She modeled “average” incorrectly and should have solved x/5<_30
She chose the incorrect relation and should have solved 5x_>30
She modeled “average” incorrectly and should have solved x+5<_30
Answers
Maya made an error in her chosen inequality by focusing on a minimum rather than the goal of breaking or tying the record. Assuming the record is 30, she should have used the inequality 5x >= 30, where x is the average number of home runs needed per week.
Explanation:It appears that Maya has made an error when she chose the inequality to model the situation. Since Maya is trying to break or tie the league record for home runs, she should be considering how many home runs she needs to hit in order to exceed or equal the current record, rather than considering a minimum. Her inequality should reflect the desired goal. If the league record is 30 home runs, for example, and there are 5 weeks left in the season, Maya might want to know how many home runs she must hit on average each week to break the record. Therefore, she should have solved the inequality 5x >= 30, where x represents the number of home runs she needs to hit on average each week.
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A park in a subdivision has a triangular shape. Two adjacent sides of the park are 533 feet and 525 feet. The angle between the sides is 53 degrees. Find the area of the park to the nearest square foot.
Answers
Answer:
The area of the park is 1,11,739 square feet.
Step-by-step explanation:
Since, the area of a triangle is,
[tex]A=\frac{1}{2}\times s_1\times s_2\times sin\theta[/tex]
Where, [tex]s_1[/tex] and [tex]s_2[/tex] are the adjacent sides and [tex]\theta[/tex] is the included angle of these sides,
Here, the two adjacent sides of the park are 533 feet and 525 feet, while, the angle included by these sides is 53°.
That is, [tex]s_1[/tex] = 533 ft, [tex]s_2[/tex] = 525 ft and [tex]\theta[/tex] = 53°,
Hence, the area of the park is,
[tex]A=\frac{1}{2}\times 533\times 525\times sin 53^{\circ}[/tex]
[tex]=\frac{279825\times 0.79863551004}{2}[/tex]
[tex]=\frac{223478.181599}{2}=111739.090799\approx 111739\text{ square ft}[/tex]
I keep getting 70 but that's not an answer??
Betty's bite size candies are packaged in bags the number of candies per bag is normally distributed with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint a sample of bags is checked and 12 bags contain fewer than 47 candies how many bags were probably taken as samples?
a) 15
b) 75
c) 36
d) 24
Answers
A normal distribution, 68% of the sample falls within 1 standard deviation, which means 100-68 = 32 is out side the mean. Half of that, 32 / 2 = 16% is above and the other half (16%) would be below.
12 bags were below, so we would do a ratio, with the percentages as a whole number, so 16% = 16 and 100% = 100:
12/16 = X/100
Cross multiply: 16x = 1200
Divide both sides by 16:
X = 1200/16
X = 75
The answer is 75 bags were tested.
The frequency of A4 is 440.00 Hz. What is the frequency of A6, which is two octaves above A4?
A) 110.00 Hz
B) 220.00 Hz
C) 880.00 Hz
D) 1760.00 Hz
Answers
Explanation:
The formula to find the unknown frequency is:
(2^n)*f
Where n = Number of octaves above to the known frequency (A4) = 2
f = Known frequency (of A4) = 440 Hz
Hence
(2^2)*(440)
1760 Hz (of A6)
The Comegna family wants to build a human pyramid when they go to the beach this summer. They will put one person on top and add 2 more people for each descending row.
a. How many people will be in the seventh row?
PLEASE HELP!! the rest are in the attachment
Answers
a. Number of people in the seventh row will be as follows:
d=2
a1=1
n=7
thus the number of people in the 7th row will be obtained using the explicit formula:
an=a1+(n-1)d
a7=1+(7-1)2
a1=1+12
a1=13
b. Total number of people in 7 rows will be calculated using the formula:
sn=n/2(a1+an)
plugging in the values:
s7=7/2(1+13)
s7=7/2(14)
s7=49
c. Total number of people required to make 10 rows will be:
n=10
a1=1
a10=1+(10-1)2
a10=1+18
a10=19
thus
s10=10/2(1+19)
s10=100
It will take 100 children
d. To get the number of rows the Simpsons Pyramid had we shall use the explicit formula:
an=a+(n-1)d
d=4
a1=1
an=37
plugging in the values we get:
37=1+(n-1)4
solving for n:
36=4n-4
40=4n
n=10
thus the number of rows would be 10
e. Total number of people will be:
d=4
n=10
a1=1
Sn=n/2(a1+an)
Sn=10/2(1+37)
Sn=190
PART 2: Geometric sequence and series
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what percentage does the third quartile represent?
Answers
what is the inch equivalent of 32.5 mm to the nearest 0.0001
Answers
32.5 mm * 1 inch / 25.4 mm = 1.2795275591 inches
or to the nearest .0001 inch,
1.2795 inches
Which choice is similar to the figure shown?
Answers
Take 45/30, you get 1.5. 1.5 x 20 = 30.
Hope I helped!
A recipe calls for 5 8 pound of cheese per batch. Assuming you have enough of the other ingredients, how many batches of the recipe can you make with 5 pounds of cheese?
Answers
Susan and betsy bought sport supplies for summer camp. susan bought six basketballs and one soccer ball for $27. betsy bought four basketballs and two soccer balls for $22. how much do basketballs cost? how much do soccer balls cost?
Answers
x: cost of each basketball
y: cost of each soccer ball
We now write the system of equations:
6x + y = 27
4x + 2y = 22
Solving the system we have:
x = 4 $
y = 3 $
Answer:
basketballs cost $ 4
soccer balls cost $ 3
how do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?
Answers
60+25= 85 minutes
Now we should subtract the 42
85-42=43
A radio station wants to determine whether its audience would like to listen to more rap music. It asks its listeners to call in and participate in a survey. Each listener is asked: “Do you want us to play more rap music or less rap music?” One hundred fifty listeners call in, and their responses are recorded.
What is the focus of the study?
The type of music listeners want to hear.
The playing of rap music.
The number of listeners who respond.
The response of the listeners.
Answers
A radio station made a survey of their listeners to determine whether the audience would like to listen to more rap music. They asked the question “Do you want us to play more rap music or less rap music?” The station recorded one hundred fifty listeners who call in.
The focus of the study is about the playing of the rap music because it is what the question is about. Not the type of music listeners want to hear, nor the number of listeners who respond nor the response of listeners.the response of listeners to give opinion on to play more or less rap music
Change -40° to radians.
A). 2π/9
B). -2π/9
C). 4π/9
D). -4π/9
Answers
(-40°)[tex] (\frac{ \pi }{180} )= -\frac{2 \pi }{9} [/tex]
We can conclude that the correct answer is: B). -2π/9
Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10.
Answers
You need to use the Pythagorean theorem.
[tex]{a}^{2} + {b}^{2} = {c}^{2} [/tex]
The hypotenuse is "c" and each leg is either "a" or "b".
[tex] {10}^{2} + { x}^{2} = {17}^{2} [/tex]
[tex]100 + {x}^{2} = 289 \\ {x}^{2} = 189 \\ x = 13.7477270849[/tex]
Which expression is equal to sin 75°? sin 135° cos 60° – cos 135° sin 60° cos 135° cos 60° + sin 135° sin 60° sin 135° cos 60° + cos 135° sin 60° cos 135° cos 60° – cos 135° cos 60°?
Answers
Answer:
The answer is A
GEOMETRY HELP 70 POINTS FAST!!!!!!!
FIND SURFACE AREA. IT’S OKAY IF YOU DID ONE BUT I WOULD PREFER IF YOU DID BOTH THANKS
Answers
9) Surface area = PI x 3 x (3+8.5) = 108.38 yd^2
Because you already have your radius but you need to find your hight. You use a triangle and do a^2+b^2=c^2 and that gives you 9.75. Then plug those two numbers into the surface area of a cone equation.
8)C
Because you need to find something the radius by dividing 18 by 2 which gives you 9. Then you need to find the hight which you make a triangle and do a^2+b^2=c^2 and that gives you 19.98. And plug those numbers into the surface area of a cone formula
Ed and Marge were candidates for the city council. Marge won with 93 more votes than Ed. The total number of votes cast in the election was 587. Find the number of votes received by each candidate.
Answers
so ed had 494 votes
I think it would be 494/2=247 votes
Select the objects that hold the same amount of liquid as a 98 fluid ounce jug
Answers
1 cup = 8 fl oz
2 cups = 16 fl oz
1 pint = 2 cups, so 1 pint also equals 16 fl oz.
2 pints equal 1 quart, so 16 x 2 = 32 oz (the number of fluid ounces in a quart)
1 pint - 16 fl oz
1 quart = 32 fl oz
Choice A: 3 quarts x 32 =96 fl oz.
Choice B: 2 quarts x 32 = 64 fl oz
Choice C: 2 quarts x 32 + 2 pints x 16 = 64 + 32 (96 fl oz)
Choice D: 1 quart x 32 + 8 cups x 8 = 32 + 64 (96 fl oz)
Choice E: 2 cups x 8 + 2 pints x 16 = 16 + 32 (48 fl oz)
The Big Dipper ice cream store charges 25 cents for a cone and 75 cents for each scoop of ice cream added to the cone. What will a customer pay for a double dip ice cream cone?
Answers
Answer: $1.75
He wants technically 2 scoops of ice cream which is 0.75 + 0.75 = $1.50
He only wants 1 cone so thats $0.25
Final Total:
1.50 + 0.25 = $1.75
He will pay $1.75 for a Double Dip Ice Cream Cone!
if a train travels 25 miles in 2 hours and 15 minutes, what is it's average speed in miles per hour?
• 10 mph
• 11.1 mph
• 12.5 mph
• 9.1 mph
Answers
2 1/4 hours = 25 miles
1 hour = 25 ÷ 2 1/4 = 25 ÷ 9/4 = 25 x 4/9 = 11.1 miles
Answer: 11.1 mph
Express the fraction in simplest form.
9/12
a.2/3
b.3/4
c.12/16
d.10/13
Answers
[tex]Answer:\ \boxed{b.\ \dfrac{3}{4}}[/tex]
what is the image of point (3,4) for mapping (x.y) , (x+4, y+6)
Answers
A 9 cm tall cone shaped paper cup can hold up to 58.9 cm cubed of water. What is the minimum amount of paper needed to make the paper cup, assuming no overlap in the paper? Use 3.14 for π.
Answers
To calculate the cone area we need to know the radius.
We do not have the radio, but we have the volume.
So:
r = √(3×V) / h
r = 4,431cm
Now we calculate the generatrix g.
If we make a lateral projection of the cone, we have a triangle whose height is h = 9cm. The base is the radius r = 4,431cm and the hypotenuse is the generatrix g.
So:
g = √(r ²+ h²)
g = 10.03cm
Finally the area of a cone is given by the formula:
A = pi × r ×(g + r)
A = 201.30 cm²
what is the solution to the following system of equations (3x-4y=-25)( 3x+ 4y=5)? PLEASE HURRY!!!!!!!!!!!
Answers
substract the value of x to the second equation:
[tex]3\cdot\left(-\dfrac{10}{3}\right)+4y=5\\\\-10+4y=5\ \ \ |+10\\\\4y=15\ \ \ \ |:4\\\\y=\dfrac{15}{4}[/tex]
[tex]\left\{\begin{array}{ccc}x=-\dfrac{10}{3}\\\\y=\dfrac{15}{4}\end{array}\right[/tex]