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Answer:

1042 square inches is the total surface area of composite solid.

Step-by-step explanation:

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows:

Across the length there are 3 blocks along the side of 7 inches each.

Length = [tex]7 \times 3 = 21\ inch[/tex]

Width = 5 inch

Across the height there are 4 blocks along the side of 4 inches each.

Height = [tex]4 \times 4 = 16\ inch[/tex]

We know that total surface area of a cuboid is as follows:

[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]

[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]

Hence, total surface area = 1024 square inches

Step-by-step explanation: i got it right

We have been given that a cosine function is a reflection of its parent function over the x-axis. The amplitude of the function is 11, the vertical shift is 9 units down, and the period of the function is [tex]\frac{7\pi}{12}[/tex]. The graph of the function does not show a phase shift. We are asked to write the equation of our function.

We know that general form a cosine function is [tex]y=A\cos(b(x-c))-d[/tex], where,

A = Amplitude,

[tex]\frac{2\pi}{b}[/tex] = Period,

c = Horizontal shift,

d = Vertical shift.    

The equation of parent cosine function is [tex]y=\cos(x)[/tex]. Since function is reflected about x-axis, so our function will be [tex]y=-\cos(x)[/tex].

Let us find the value of b.

[tex]\frac{2\pi}{b}=\frac{7\pi}{12}[/tex]

[tex]7\pi\cdot b=24\pi[/tex]

[tex]\frac{7\pi\cdot b}{7\pi}=\frac{24\pi}{7\pi}[/tex]

[tex]b=\frac{24}{7}[/tex]

Upon substituting our given values in general cosine function, we will get:

[tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex]

Therefore, our required function would be [tex]f(x)=-11\cos(\frac{24}{7}x)-9[/tex].

Answer:

x-intercept(s):

(1,0),(3/2,0)

y-intercept(s): (0,3)

Use the formula

x=−b/2a to find the maximum and minimum.

Ans;(5/4,−1/8)

Coordinates Of The Vertex

(5/4,−1/8)

Zero (roots)

x=1,3/2

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

a number used to multiply a variable

Answer: 4.5 pounds

Explanation: To convert 72 ounces into pounds, we use the conversion factor for ounces and pounds which is 16 ounces = 1 pound.

Next, notice that we're going from a smaller unit, ounces, to a larger unit, pounds and when we go from a smaller unit to a larger unit, we divide. So here, we divide 72 by the conversion factor, 16, to get 4.5.

So 72 ounces equals 4.5 pounds.

Answer:

y = 2x + 3  → Gradient / slope = 2 → Y - intercept = 3

y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3

Step-by-step explanation:

y = mx + c

This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so

y = 2x + 3

Gradient / slope = 2

Y - intercept = 3

y = -3x + 3

Gradient / slope = -3

Y - intercept = 3

Answer:

5 miles and 8 ft because 8,800 yard is equal to 5 miles and 5 miles and 8 ft is larger than 5 miles

Step-by-step explanation:

Answer is above

Larger than 5 miles

Hope this helps.

Answer:

x = -9

x = 6 BUT IT DOES NOT WORK WHEN YOU PLUG IT BACK IN

Step-by-step explanation:

Triangle area = 1/2 bh

The area is given (44)

base = 2x-4

height = x+5

44 = 1/2 (2x-4) (x+5)

Distribute

44 = 1/2 (2x^2 + 10x - 4x - 20)

44 = 1/2 (2x^2 + 6x - 20)

Take out a 2

44 = 2 * 1/2 (x^2 + 3x - 10)

44 = x^2 + 3x - 10

Subtract 44

0 = x^2 + 3x - 54

Factor the way you like and you should get

(x + 9) (x - 6)

x = -9

x = 6

If you plug them in only the -9 works.

44 = 1/2 (-22) (-4)

Answer:

x=6

Step-by-step explanation:

[tex]\frac{1}{2} (2x-4)(x+5)=44\\(x-2)(x+5)=44[/tex]

[tex]x^{2} -2x+5x-10=44\\x^{2} +3x-54=0[/tex]

[tex]x^{2} +9x-6x-54=0\\x(x+9)-6(x+9)=0\\(x+9)(x-6)=0\\x=-9(rejected),6[/tex]

side is 2×6-4=8 units

height=x+5=6+5=11 units

x=-9 is  rejected because it gives negative side and negative height.

7 out of 6 ymto a mixed number is

1¹/6

Answer:

(6x^4+7)(6x^4-7)

Step-by-step explan  

Answer:

The common factor is 1

(6x^4+7) (6x^4-7)

Step-by-step explanation:

Answer:

8.06/65

Step-by-step explanation:

4^2+7^2=8.06^2

16+49=65

Answer:

square root of 65

Step-by-step explanation:

4^2 + 7^2 = x^2

16+ 49= x^2

x^2 = 65

x= sqrt 65

Answer:

The floor, in square feet, you need to tile is [tex]27ft^{2}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes.

To solve this problem we need to calculate the areas of the sink and the bathtub and subtract it from the the area of the the bathroom, the result is the amount of space you need to tile

Step one

Area of sink

[tex]area= length * width\\ area= 3* 2 = 6 ft^{2}[/tex]

Area of bathtub

[tex]area= length * width \\area= 5*3\\area= 15ft^{2} \\[/tex]

Area of bathroom

[tex]area= length* width\\ area = 8* 6\\area=48ft^{2}[/tex]

Step two

To calculate the area we need to tile

let us subtract the areas of the bathtub and the sink from the bathroom we have

[tex]= 48-15-6\\=27ft^{2}[/tex]

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

A(t) = B(t)

3t = 30 - 6t

9t = 30

t = [tex]\frac{30}{9}[/tex]

t = 3.33

Answer:

There are 64 possible outcomes.

Step-by-step explanation:

Each flip has 2 options, heads or tails.

         head               tail

One flip has 2 outcomes. When you flip again, you can get this set of 4 outcomes:

         head-head      tail-head

         head-tail          tail-tail

Then when you flip a third coin, each of those cases has 2 cases itself. As you can see, each flip that is added, the total number of outcomes doubles. For 6 flips, you do 2x2x2x2x2x2 or [tex]2^{6}[/tex].

Answer:

A, B, E  

explanation:                                                                                                                                            

Answer:

A: The range of scores is 38.

B: Without the outlier, the range of scores would be 12.

C: The outlier impacts the range more than it impacts the interquartile range.

D: The interquartile range is 9.

F: Without the outlier, the interquartile range would be 9.5.

Step-by-step explanation:

edg2020

Answer:

Step-by-step explanation:

Answer:

i need this answer too someone please answer lol

Complete question:

Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal

Answer: 3/4 hours

Step-by-step explanation:

Target hours = 4 1/2 hours = 9/2 hours

Number of hours so far :

(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours

Total so far :

L. C. M of denominator = 4

(6 + 5 + 4) /4 = 15/4

Number of hours left to meet his target equals :

Target hours - total so far

( 9/2 - 15/4)

L. C. M of denominator = 4

(18 - 15) / 4 = 3/4 hours

.

Answer: Increased A.

Step-by-step explanation:

Answer:

The product of a number and its reciprocal is 1.

For i.e : 4/3 and its reciprocal 3/4, 4/3 x 3/4 = 1

Hope this helps!

:)

Answer:

-22.1

Step-by-step explanation:

f(x) = 3x – 8,

Let x = -4.7

f(-4.7) =3(-4.7) -8

        =-14.1-8

        -22.1

Answer:

B y= 4.50x + 5.00

Step-by-step explanation:

4.50 is the “mx” in y=mx+b also known as the Slope that moves.

the 5 is the ”b” which is the y-intercept. It is a constant and does not change.

Answer:

Africa = 54 countries

Asia = 53 countries

Eastern Europe = 23 countries

Western Europe = 29 countries

Latin America = 33 countries

Step-by-step explanation:

193 member states - Kiribati = 192 countries

Asia = Africa - 1

Eastern Europe = 0.5Africa - 4

Western Europe = 0.5Africa + 2

Latin America = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5(54) - 4 = 23

Western Europe = 0.5(54) + 2 = 29

Latin America = 54 - 21 = 33

Africa is = 54 countries

Asia is = 53 countries

Eastern Europe is = 23 countries

Then, Western Europe is = 29 countries

After that, Latin America = 33 countries

Then, 193 member states - Kiribati = 192 countries

After that, Asia = Africa - 1

Now, Eastern Europe = 0.5Africa - 4

Western Europe is = 0.5Africa + 2

Latin America is = Africa - 21

Africa

Africa + (Africa - 1) + (0.5Africa - 4) + (0.5Africa + 2) + (Africa - 21) = 192

4Africa - 24 = 192

4Africa = 192 + 24 = 216

Africa = 216 / 4 = 54

Asia = 54 - 1 = 53

Eastern Europe = 0.5(54) - 4 = 23

Western Europe = 0.5(54) + 2 = 29

Therefore, Latin America = 54 - 21 = 33

Find more information Logical Data Grouping here:

https://brainly.com/question/22607492

Answer:

Step-by-step explanation:

16 triangles

Answer:

it would be the same since its ON the x-axis ( the point does not change)

Step-by-step explanation:

Answer:

Step-by-step explanation:

by looking at the figure we notice that angles AOB and BOC are two supplementary angles which means:

x + 35 = 180

then

x = 180 - 35

then

x = 145