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

[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]

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:

The numbers on the mailboxes represent 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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Answer:

he go 2 full 13 in pecies 2.30

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

1)   37+63=100

2)   180-100= 80

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

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).

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. :)

Answer:

n = 2 + (60/2)

Step-by-step explanation:

[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

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

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.

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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answer

1. expand the equation

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

66x-21x²+3x-110+35x-5

104x-21x²-115

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.

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.

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

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.

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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Answer:

A) 154x89 _s2

s

Step-by-step explanation:

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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.

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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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

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.

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..

Answer:

question 1: 24

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

Step-by-step explanation:

Answer:

(7, -3)

Step-by-step explanation:

x-5

y+8

Inverse

12-5

-11+8

(7, -3)

Answer: 145

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

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!