Find the lateral area and the surface area of the composite solid. Round your answers to the nearest hundredth.
The lateral area is about ____
square inches
The surface area is about ___
square inches

Answers

Answer 1

The surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.

What is the area?

The space occupied by any figure in the two-dimensional space is called an area. The area can be rectangular circular triangular types.

Here we have the figure made up by the two pyramids and one rectangular box. So we will find the surface area of the pyramid then the rectangular box and again the pyramid and will add all of them.

The Lateral surface area will be calculated as:-

A=2W√(w÷2)²+(h)²+w²

A=2x5√(5÷2)²+(3)²+5x5

A=152.5 +25

A=177.5 square inch

Area of lower pyramid= (1÷2)xbxh+w²

A=(1÷2)x5x7.5 + 25 =75+25= 100

Area of the rectangular box= 4(w²)=4(5x5)=100

So total lateral surface area will be =100+100+177.5=377.5 square inch

(2)The surface area will be calculated as:-

A=2W√(w÷2)²+(h)²

A=2x5√(5÷2)²+(3)²

A=152.5 square inches

Area of lower pyramid= (1÷2)xbxh

A=(1÷2)x5x7.5  =75 square inches

Area of the rectangular box= 4(w²)=4(5x5)=100

So total surface area will be =100+75+152.5=327.5 square inch

Hence the surface area of the solid will be A=327.5 square inches and the lateral surface area will be A= 377.5 square inches.

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Related Questions

The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n represent the number find the number

Answers

Answer:

n = 2 + (60/2)

Step-by-step explanation:

Please Answer, No links! reporting right away!.. giving brainliest and more points!
PLEASE I NEED THIS ​

Answers

Answer:

A) 154x89 _s2

s

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What is the product?
(3x-5)(22-7x+1)

Answers

answer

1. expand the equation

3x(22-7x+1)-5(22-7x+1)

66x-21x²+3x-110+35x-5

104x-21x²-115

What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly​

Answers

Answer:

185/27

Step-by-step explanation:

To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x

4

−2x

3

+3x

2

−2x+3 by g(x) and get the remainder as shown in the above image.

Hence,  

27

185

 should be subtracted from 3x

4

−2x

3

+3x

2

−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.

Please helpppppppp I need asap

Answers

Answer:

80

Step-by-step explanation:

1)   37+63=100

2)   180-100= 80

solve for the value of x :-
4(3+x)+x=x+4​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve for x ~

[tex]\qquad \tt  \dashrightarrow \: 4(3 + x) + x = x + 4[/tex]

[tex]\qquad \tt  \dashrightarrow \: 12 + 4x+ x = x + 4[/tex]

[tex]\qquad \tt  \dashrightarrow \: 5x + 12 = x + 4[/tex]

[tex]\qquad \tt  \dashrightarrow \: 5x - x = 4 - 12[/tex]

[tex]\qquad \tt  \dashrightarrow \: 4x = - 8[/tex]

[tex]\qquad \tt  \dashrightarrow \: x = - 8 \div 4[/tex]

[tex]\qquad   \dashrightarrow \: \boxed{ \tt x = - 2 }[/tex]

Solve this system of linear equations. Separate the x- and y-values with a comma.

2x = 9x - 14y

9x = 40 - 14y

Answers

Answer:

x = [tex]\frac{5}{2}[/tex], y = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = [tex]\frac{5}{4}[/tex]

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = [tex]\frac{5}{2}[/tex]

hope this helps!

Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.

Answers

Answer: 145

Step-by-step explanation: I say this because it has 14. 4 then

What us the median of (14, 2, 4, 10, 4, 12. 8, 1)?

Answers

Answer:

= { 1, 2, 4, 4, 8, 10, 12, 14}

There are total 8 numbers in data. so,

two middle numbers are : 4, 8

= 4+8

= 12

now divide 12 with 2

= 6

So... the median of given set is 6.

Answer:

7

Step-by-step explanation:

since there are two middle numbers you add and divide them by 2

At a sale, dresses were sold for $76 each. If the dresses originally cost $200 each,
what percentage of its original price was a dress sold for?

Answers

The answer is 8.4. The reason is you have to do 100-76, which equals 24 so then you 200/24 which is 8.33333 but you have to round so 8.4%

The percentage of dress was sold for 62% of its original price.

To find the percentage of the original price that the dress was sold for, we can use the formula for percentage change:

Percentage Change = (Change in Value / Original Value) × 100

In this case, the original value is the cost of the dress ($200), and the change in value is the difference between the original cost and the sale price ($76):

Original Value = $200

Sale Price = $76

Change in Value = Original Value - Sale Price

Change in Value = $200 - $76

Change in Value = $124

Now we can plug these values into the percentage change formula:

Percentage Change = (Change in Value / Original Value) ×100

Percentage Change = ($124 / $200) × 100

Percentage Change = 0.62× 100

Percentage Change = 62%

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Giving brainliest!!!!!

Answers

Answer:

(7, -3)

Step-by-step explanation:

x-5

y+8

Inverse

12-5

-11+8

(7, -3)

(12,-11) -> (x-5, y+8)-> (7, -3)

PLEASE FAST IF I DONT PASS THIS I CANT GO TO PROM WILL GIVE BRAINLIEST!!!

Answers

Answer:

B or Number 2.

The expression 25−−√−21−−√ can be rewritten as 5−21−−√. Since the exact value of 21−−√ cannot be found, the difference is irrational.

B or Number 2.

The product of two irrational numbers is ___ (Sometimes) an irrational number.

Step-by-step explanation:

The product of two irrational numbers i never an irrational number

Answer:

C is the answer for the first one and sometimes is the answer for the second one.

NEED HELP FOR MY STATS CLASS
A chef has created a linear regression model to predict the boiling temperature of water based on the amount of salt added to a 5-gallon pot of water. What is the explanatory variable and what is the response variable?
Explanatory: boiling temperature of the water; Response: amount of salt
Explanatory: the amount of salt; Response: the amount of water in the pot.
Explanatory: amount of salt; Response: boiling temperature of the water
Explanatory: amount of water in the pot; Response: the amount of salt

Answers

Answer:

Explanatory: amount of salt; Response: boiling temperature of the water

Step-by-step explanation:

The chef believes the amount of salt (x) is a predictor for the boiling temperature (y).

Select the correct answer. which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10 c. 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3 d. 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8 e. 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10

Answers

The answer choice which is the farthest from a normal distribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.

Which data set is farthest from a normal distribution?

A normal distribution, is a data set which when graphed must follow a bell-shaped symmetrical curve centered around the mean. Additionally, such distribution must adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.

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Please help me on this!

Answers

By evaluating, we will see that for x = 7 h(x) exceeds g(x).

For which value of x does h(x) first exceed g(x)?

We have:

h(x) = 2*(2)^x

g(x) = 22x - 4

Now we can evaluate both function in the different options:

h(5) = 2*(2)^5 = 64

g(5) = 22*5 - 4 = 106

We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.

h(6) = 2*(2)^6 = 128

g(6) = 22*6 - 4 = 128

So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).

The correct option is B.

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What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 2.3 meters, and a height of 0.9 meters?

4.968 m³

9.936 m³

11.94 m³

34.86 m³

Answers

Answer:

9.936

Step-by-step explanation:

V = Bh

B = base

base = Lengh x width

base = 4.8 x 2.3

base = 11.04

V = 11.04h

H = height

H = .9

V = .9 x 11.04

V = 9.936

Answer:

9.936 m³

Step-by-step explanation:

Seth took 30 inches of wire and cut it into
13 inch pieces. How many pieces did he
4
get?

Answers

Answer:

he go 2 full 13 in pecies 2.30

Step-by-step explanation:

If you know the sine value for a given angle, how can you quickly find the cosecant value for that same angle?

Answers

Answer:

See below

Step-by-step explanation:

Remember the quotient identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so you need to take the reciprocal of the sine value for the given angle in order to get the cosecant value for that same angle.

The required value of cosecant of an angle can be found by taking the reciprocal of sine value.

What are trigonometric ratios?

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

Suppose the sine value of an angle A is SinA,

Then, cosecant value can be written as CosecA.

These trigonometric ratios are reciprocal of each other.

Thus, it can be written as,

CosecA = 1/SinA

Hence, the value of cosecant of an angle can be found by taking the reciprocal of sine value.

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Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)

Answers

Answer:

question 1: 24

question 2: (1/45)*(1/5)=(1/9)

Step-by-step explanation:

What is the slope of the line that passes through the points (2, 2) and (14, 2)? Write
your answer in simplest form.

Answers

Slope is change in Y over change in X as a fraction
Y 2-2=0
X. 14-2=12

0/12 a horizontal line ( zero rise over 12 to the right
This is the simplest form
Y= 2-2=0
X= 14-2=0

What is x? I need answers

Answers

A value that is not yet known

1. Each equation below represents a circle. Place its equation in standard form and then state the coordinates of its center and the length of its radius.
(a) x² + 8x + y2 – 2y = 8
(b) x2 - 6x + y2 - 20 y =12 -
(c) x2 –16x + y2 +10y+88 =
(d) y2 + x2 +8x = 84​

Answers

Completing the squares, it is found that the center and the radius of the circles are given as follows:

a) The center is (-4,1) and the radius is 5.

b) The center is (3, 10) and the radius is 11.

c) The center is (8,-5) and the radius is 1.

d) The center is (-4,0) and the radius is 10.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Item a:

x² + 8x + y² - 2y = 8

Completing the squares:

(x + 4)² + (y - 1)² = 8 + 4² + 1²

(x + 4)² + (y - 1)² = 25

Comparing to the standard equation: The center is (-4,1) and the radius is 5.

Item b:

x² - 6x + y² - 20y = 12

(x - 3)² + (y - 10)² = 12 + 3² + 10²

(x - 3)² + (y - 10)² = 121

The center is (3, 10) and the radius is 11.

Item c:

x² - 16x + y² + 10y + 88 = 0

(x - 8)² + (y + 5)² = -88 + 8² + 5²

(x - 8)² + (y + 5)² = 1

The center is (8,-5) and the radius is 1.

Item d:

x² + 8x + y² = 84

(x + 4)² + (y - 0)² = 84 + 4²

(x + 4)² + (y - 0)² = 100

The center is (-4,0) and the radius is 10.

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About how many moons can fit inside Earth?

Answers

Answer: I’m pretty sure 50 moons could fit inside the Earth.

Step-by-step explanation:

Hope this helps, and have a healthy and happy day. :)

Evaluate the expression for the given value

Answers

Answer: Choice C)  9/16

Reason:

Square the 3 up top to get 3^2 = 3*3 = 9

Square the 4 down below to get 4^2 = 4*4 = 16

Grapes are on sale for $0.98 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?

Answers

Answer:6.93

Step-by-step explanation: Since we want to know how mush it costs, we have to multiply

1.98*3.5= 6.93

Step-by-step explanation:

I think the answer is$3.92 not sure..

a person borrows $12500 from a lender for 3 years at a rate of 10%.
find the simple interest.​

Answers

Given:P= $12500R= 10%T= 3 yearsNote that:P= Principal amountR= Rate of interest T= Time periodSolution:

[tex]\huge\boxed {\: I=\frac{PRT}{100}}[/tex]

First, we'll have to multiply the principal amount, rate of interest and time period.

[tex]12500 \times 10 \times 3[/tex]

[tex] = 375000[/tex]

Now, divide the amount ( 375000 ) by 100.

[tex] = \frac{375000}{100} [/tex]

= $3750

Hence, the simple interest is $3750

A group of friends were working on a student film that had a budget of $600. They used $198 of their budget on props. What percentage of their total budget did they spend on props?

Answers

Pretty sure it is 33% because 198/600 is 33.

In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent Group of answer choices quantitative data either categorical or quantitative data categorical data since the numbers are sequential, the data is quantitative

Answers

The numbers on the mailboxes represent categorical data.

What is categorical data?

Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.

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The largest pyramid at giza is a square pyramid. it has a base of 756 feet and a slant height of 612 feet. which represents the two-dimensional net of this pyramid? a rectangular pyramid. the rectangular base is 756 feet by 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. the triangles connect to the square by their points. 5 connected triangles with a base of 756 feet and height of 612 feet.

Answers

The two-dimensional net of this pyramid is the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet.

What is a pyramid?

A square pyramid is a 3-dimensional shape with a square base and 4 triangular faces that are joined at a vertex.

The net of a pyramid is made up of one square  and four triangles. The rectangle is the base of the pyramid, and the triangles are the lateral faces.

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the answer is B, or #2. hope this helps. Edgen 2022.

What is the area of ΔABC to the nearest tenth of a square millimeter?

Answers

Answer:

601sqmm

Step-by-step explanation:

1/2 x AB x AC x sin(79)

= 1/2 x 35 x 35 x sin(79)

= 601.24 sqmm

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