Answer:
The height is 15 cm--------------------
Total surface area of the cuboid with dimensions 5 cm, 10 cm and h is 280 cm².
Use the formula:
A = 2(lw + lh + wh), where l, w and h are dimensionsSubstitute the values and solve for h:
280 = 2(5*10 + 5h + 10h)140 = 50 + 15h90 = 15hh = 90/15h = 15The height of the cuboid is 6 cm.
To find the height of the cuboid, we need to divide the total surface area of the cuboid by the sum of the areas of its four lateral faces.
The total surface area (TSA) of a cuboid is given by the formula:
TSA = 2lw + 2lh + 2wh
Where:
l = length of the cuboid
w = width of the cuboid
h = height of the cuboid
In this case, we have the width (w) as 5 cm and the length (l) as 10 cm. The total surface area (TSA) is given as 280 cm².
Substituting the values into the formula, we get:
280 = 2(10)(5) + 2(10)(h) + 2(5)(h)
280 = 100 + 20h + 10h
280 = 100 + 30h
30h = 280 - 100
30h = 180
h = 180/30
h = 6
Therefore, the height of the cuboid is 6 cm.
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HELP PLS
What is the value of b ?
11.25
12
22.5
6m
Please answer this question
Answer:
number: 2
Step-by-step explanation:
The larger triangle is a dilation of the smaller triangle with a center of dilation at (2,−1). What is the scale factor of the dilation? 13 12 2 3 Coordinate plane. The horizontal axis ranges from negative 6 to 4 in increments of 1. The vertical axis ranges from negative 3 to 7 in increments of 1. Two triangles are on the coordinate plane. The vertices are not labeled. Both triangles share a vertex at the point 2 comma negative 1. The smaller triangle also has vertices at points two comma two and negative one comma negative one. The larger triangle also has vertices at points two comma five and negative four comma negative one.
In this problem, we are given a smaller and a larger triangle on a coordinate plane. We are told that the larger triangle is a dilation of the smaller triangle with a center of dilation at (2,-1). We are required to find the scale factor of this dilation.
Given points: The smaller triangle has vertices at points (2,2) and (-1,-1) and shares a vertex at the point (2,-1). The larger triangle has vertices at points (2,5) and (-4,-1) and shares a vertex at the point (2,-1).Dilation is a transformation that produces an image that is the same shape as the original, but is a different size. We can find the scale factor of the dilation by comparing corresponding side lengths of the smaller and larger triangles.
We will choose two corresponding sides of the smaller and larger triangles and divide the length of the larger triangle by the length of the smaller triangle. This will give us the scale factor of the dilation. We will choose sides AC and A'C' of the triangles below: Coordinates of point A on smaller triangle = (2,2)Coordinates of point C on smaller triangle = (-1,-1)Length of AC = √[(2-(-1))² + (2-(-1))²] = √(3² + 3²) = √18Coordinates of point A' on larger triangle = (2,5)Coordinates of point C' on larger triangle = (-4,-1)Length of A'C' = √[(2-(-4))² + (5-(-1))²] = √(6² + 6²) = √72 = 6√2Scale factor of dilation = A'C'/AC = (6√2)/√18 = (6√2)/(3√2) = 2Thus, the scale factor of the dilation is 2. Answer: 2.
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17x+11=19x-3 solve for x
Answer: 7
Step-by-step explanation:
19x-17x = 11 + 3
2x = 14
x = 7
A class conduct an experiment in biology. They place a number of 1 m by 1 m square grids on the playing field and count the number of plants in each grid. The results obtained are given below.
6 3 2 1 3 2 1 3 0 1
0 3 2 1 1 4 0 1 2 0
1 1 2 2 2 4 3 1 1 1
2 3 3 1 2 2 2 1 7 1
(a)
Calculate the mean number of plants.
Step-by-step explanation:
their mean is....
6+3+2+1+3+2+1+3+0+1/10=2.1
3+2+1+1+4+0+1+2+0/10=1.4
1+1+2+2+2+4+3+1+1+1/10=1.8
2+3+3+1+2+2+2+1+7+1/10=2.4
the means are 2.1,1.4,1.8,2.4
the average mean is
21+14+18+24/40
32+45/40
77/40=1.925
the average mean is 1.925
Find the slope for the points: (2, -3) and (4, 7)
Slope = change in Y over change in x:
Slope = ( 7 - -3) / ( 4 -2)
Slope = (7 +3) / (4-2)
Slope = 10/2
Slope = 5
The answer is 5
Which of them do I turn into a decimal, a fraction, or a mixed number?.
please help i’m struggling with this so bad
The square in the middle
5( \(1\frac{2}{3}\) + \(3\frac{1}{3}\)) = ____
The triangle on the top
[2.75( \(1\frac{2}{3}\) + \(3\frac{1}{3}\))] ÷ 2 = ____
The triangle at the bottom
[4.2 × (\(1\frac{2}{3}\) + \(3\frac{1}{3}\))] ÷2=____
Everything combined/Answer
Add All the answers you got for the equations above and you have your answer!
Which measurement is most accurate to describe the weight of an adult?
1.5 tons
50 lb.
160 oz.
180 lb.
Answer:
180 lb for an adult
Answer:
180 lb.
Step-by-step explanation:
This is due to the fact that 1.5 tons is literally 3,000 pounds and someone would have to be morbidly obese to weigh that much, 50 lbs. is underweight for an adult, 160 oz is 10 lbs which is even more underweight, which leaves 180 lbs as the last resort as well as the one that makes the most sense.
Brainliest please
A local merchandized car wash can clean 51 vehicles in 1.5 hours. At this rate how many vehicles can the car wash clean in 12 hours
Answer:
408 Cars
Step-by-step explanation:
Dividing 12 Hours by 1.5 hour
= 12/1.5 = 8
Now Multiplying 8 by 51
=51 x 8
= 408 cars
PLS HELP ASK WILL GIVE 5 STARS
What is the area of a parallelogram with a base of 14.3 and height of 11.4
Answer:
Formula to the area of a parallelogram is A = base x height
A = 14.3 x 11.4
A = 163.02in^2
(you got it right!)
The area of the parallelogram with a base of 14.3in and a height of 11.4in is 163.02 square inches.
What is the area of the parallelogram?A parallelogram is a quadrilateral with two pairs of sides that are parallel.
The area of a parallelogram is expressed as:
Area = base × height
Given the data in the question:
Base of the parallelogram = 14.3 in
Height of the parallelogram = 11.4 in
Area =?
To determine the area of the parallelogram, plug the given values into the above formula and simplify:
Area = base × height
Area = 14.3 in × 11.4 in
Area = 163.02 in²
Therefore, the area is approximately 163.02 square inches.
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i need help asap!
how do i answer these
photo is attached with questions
Answer:
a) y²=x
b)(y-2)²=x
c)(3y)²=x
d)(y-2b)²=x
e)square root A =x
f)(P-2)²=x
g) square root (3H-6)=x
h) square root(5T-2)=x
Step-by-step explanation:
where I have written square root use the square root symbol.
COMPUTE THE MEASURES OF SPREAD FOR THE DATA COLLECTED FOR BOYS AND GIRLS. DESCRIBE THEIR DIFFERENCES IN DETAIL USING SPECIFIC TERMS OF SPREAD.
The Board:
Boys: 50, 32, 15, 56, 81, 50, 18, 81, 22, 55
Girls: 75, 41, 25, 22, 7, 0, 43, 12, 45, 70
Answer: Girls:
Range:66
Lower Quartile: 22
Upper Quartile: 56
IQ Range: 34
Mean Absolute Deviation: 19.4
Boys:
Range: 75
Lower Quartile: 12
Upper Quartile: 45
IQ Range: 33
Mean Absolute Deviation: 20.8
Step-by-step explanation: EDG2020
Answer:
For the girls, the range is 66, and for the boys the range is 75. Due to the boys having a larger range, this must mean that the boy’s data set is more varied than the girls. Regarding the girls data set, the lower quartile is 22, the upper is 56, and the interquartile range is 34. For the boys the lower quartile is 12, the upper is 45, and the IQ range is 33. The IQ range’s being very similar show that for both data sets, the middle values are the same amount spread out within that middle 50% of the data. The mean absolute deviation for the girls is 19.4, and for the boys it is 20.8. The boys having a larger MAD then the girls mean that the boys have a larger variability in their data set of how many songs were downloaded.
Step-by-step explanation:
this is what I said, change wording :)
In a survey, 20 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $44 and standard deviation of $10. Estimate how much a typical parent would spend on their child's birthday gift (use a 99% confidence level). Give your answers to one decimal place. Provide the point estimate and margin or err
Based on the survey results, a typical parent would spend around $44 on their child's birthday gift, with a margin of error of approximately $2.9 at a 99% confidence level.
To estimate how much a typical parent would spend on their child's birthday gift, we use the sample mean and standard deviation as estimates of the population parameters. The sample mean of $44 serves as the point estimate for the population mean.
To determine the margin of error, we use the standard error, which is the standard deviation divided by the square root of the sample size. In this case, the standard error is approximately $2.5 (standard deviation of $10 divided by the square root of 20). Multiplying the standard error by the critical value corresponding to a 99% confidence level (z-value of 2.58 for a large sample size) gives us the margin of error.
Therefore, the typical amount spent on a child's birthday gift is estimated to be $44, with a margin of error of approximately $2.9. This means that we can be 99% confident that the true mean amount spent by parents falls within the range of $41.1 to $46.9.
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Find the missing length indicated
Answer:
x =1 08
Step-by-step explanation:
On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temperature over time?
A. y = -3x – 7
B. y = -3x + 7
C. y = 3x – 7
D. y = 3x + 7
Can anyone help me with number 3 please
2x+3x Equals? Please help!!
Answer:
the answer is 5x
Step-by-step explanation:
how do you factor f(x)=x^2+3x-40
Answer:
\(f(x)=(x+8)(x-5)\)
Step-by-step explanation:
Factor by grouping
\(f(x)=x^2+3x-40\\f(x)=x^2-5x+8x-40\\f(x)=x(x-5)+8(x-5)\\f(x)=(x+8)(x-5)\)
Answer: f(x) = (x - 5)(x + 8)
Step-by-step explanation:
To factor, we will find two numbers that multiply to -40 and add to 3. We know that -5 and 8 multiply to -40 and add to 3, so we will use these two numbers.
Given:
f(x) = x² + 3x - 40
Factor:
f(x) = (x - 5)(x + 8)
i want the answer for this question and how you got it please please!
Answer:
alternate interior angle tq
f(x) = -(x + 4)2.4
What is it equivalent to?
Answer:
−2.4x−9.6
Step-by-step explanation:
In the rainforest of Puerto Rico, I needed to measure the height of a really tall tree. I used a device to measure the angle of elevation from my line of sight to the top of a tree to be 31°. Find the height of the tree if my height is 6 feet and I was 275 feet from the tree
Answer:
Step-by-step explanation:
See image
Write 7 to the power of 4 in expanded form. Then check all that apply.
The base is 7.
The exponent is 4.
The exponent tells you to multiply 7 together 4 times.
The exponent tells you to multiply 4 together 7 times.
The expanded form is 4 × 4 × 4 × 4 × 4 × 4 × 4.
The expanded form is 7 × 7 × 7 × 7
7 to the power of 4 in the expanded form is written as:
a)The base is 7.
b)The exponent is 4.
c)The exponent tells you to multiply 7 together 4 times.
d)The expanded form is 7 × 7 × 7 × 7
Given that,
\(7^{4}\) - this indicates that 7 is the base and 4 is the exponent
Thus, The statement- The base is 7 and The exponent is 4 is true.
\(7^{4}\) - means the number 7 is being multiplied 4 times.
Thus, The statement- The exponent tells you to multiply 7 together 4 times and The expanded form is 7 × 7 × 7 × 7 is true.
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Wednesday, Diana made y dollars per hour for 8 hours of work. Thursday, she made y dollars per hour for 4 hours of work. She also got a $45 bonus. Which expression best represents the total amount of money Diana earned?
A. 12y+45 C. 8m+4t+45
B. 12t-45 D. 4y+45
Please show the work step. This is for an HW asignment.
Answer:
option. A
Step-by-step explanation:
1 = y dollars - 4= 8y
Thursday
1= y dollars
4y
4y+8y+45
that is simplified
A. 12y+45
(Part A)Find the area of the circle with a radius of 4m.
(Part B)Find the circumference of the circle with a radius of 4 m.
Step-by-step explanation:
Part A)
Area of Circle =
\(\pi {r}^{2} \\ = \pi( {4}^{2} ) \\ = 16\pi {m}^{2} \)
Part B)
Circumference of Circle =
\(2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: m\)
Answer:
Part A: 16π m²
Part B: 8π m
Step-by-step explanation:
Part A
\(A=\pi r^2\) where r is the radius
Plug in 4 as the radius
\(A=\pi (4)^2\\A=\pi(16)\\A=16\pi\)
Therefore, the area of the circle is 16π m².
Part B
\(C=2\pi r\) where r is the radius
Plug in 4 as the radius
\(C=2\pi (4)\\C=8\pi\)
Therefore, the circumference of the circle is 8π m.
I hope this helps!
which pairs of angles in the figure below are vertical angles? check all that apply.
Answer:
A
Step-by-step explanation:
What is 5(4x plus 7y) equal to
Answer:
20x + 35y
Step-by-step explanation:
\(5(4x + 7y) \\ = 5 \times 4x + 5 \times 7y \\ \huge \red{= 20x + 35y}\)
Reduce 3/3 x 6/12 to the lowest form
10 points
O 2/4
O 18/36
O 1/2
O None of the above
Define Rotation?
10 points
A transformation in which the object is turn about a fixed point. The direction can be
clockwise or counterclockwise.
O Moving a shape without rotating or flipping it.
Transformation that produces an image that is the same shape as the original, but is a
different size
O Jumping from one square to another, evenly.
sancho can ride 8 miles on his bicycle in 30 minutes. at this rate about how long would it take him to ride 30 minutes
Answer:
It would take him eight hours, but only if at the end of your sentence you meant miles.
Step-by-step explanation:
8miles_____ 30mn
30miles ____________________ *hrs
8 div by 30, .266667 miles per min
mult by 30