This is Surface Area of Composite Figures and I need help solving this question. I'm gonna fail my math exam if I don't figure this out!!!

Answer:

see explanation for answers

Step-by-step explanation:

prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²

lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²

area of square base of the pyramid = 5*5 = 25 ft²

total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²

Answer:

The length of AC is 2.33 units.

Step-by-step explanation:

You have to use Tangent Rule, tanθ = opposite/adjacent :

[tex] \tan(θ) = \frac{oppo.}{adj.} [/tex]

Let oppo. = AC,

Let adj. = BC = 5,

Let θ = 25°,

[tex] \tan(25) = \frac{ac}{5} [/tex]

[tex]ac = 5 \tan(25) [/tex]

[tex]ac = 2.33 \: units \: (near.hundredth)[/tex]

Answer:

343 cubic inches

Step-by-step explanation:

7 times 7 times 7 is 343

Answer:

Step-by-step explanation:

Answer:

x + y = 23 and y= 2 x + 5

Step-by-step explanation:

The number is 5 more than twice another so 2x + 5 = y

The two numbers have a sum of 23 so x + y = 23.

Answer:

4.2 gallons

67.2 cups

Step-by-step explanation:

He had 3 gallons of punch.

He added another 1.2 gallons.

The number of gallons of punch he has now is:

3 + 1.2 = 4.2 gallons

1 gallon = 16 cups

=> 4.2 gallons = 4.2 * 16 = 67.2 cups

He has 67.2 cups

Answer:

Common difference=5.

Answer:

18 miles= how many feet

____95,040_____feet

Step-by-step explanation:

happy to help ya:)

Answer:

$468

Step-by-step explanation:

I = P*R*T

I = 300*0.04*14

I = 168

168 + 300 = 468

Answer:

y=4x-4

Step-by-step explanation:

Since this line rises 4 units for every 1 it moves to the right, it has a slope of 4/1=4. Also, since it intersects the y axis at the point (0,-4), b=-4.

Therefore, the equation is y=4x-4. Hope this helps!

Answer:The selling price of the outfit is $79.3

Step-by-step explanation:

18 + 12 + 35 = $65  

65* 22% = 14.3

14.3 + 65 = $79.3

or

100% + 22% =  122%

122% of 65

1.22 * 65 = 79.3

Answer:

x=14

Step-by-step explanation:

x/2=7

*7 on both sides

x=14

Answer: x=14

Step by step explanation:

Step 1: Multiply both sides by 2.

X/2*2=7*2

X=14

It was easy as that:D

Answer:

The price before the increase was £21.20

Step-by-step explanation:

Now, let the former price before the increment be £x

The increment would be 22-x

Mathematically, the percentage increment = difference between the prices/old price * 100%

Thus, we have(

(22-x)/x * 100 = 4

100(22-x) = 4x

2200-100x = 4x

100x + 4x = 2200

104x = 2200

x = 2200/104

x = 21.154

which is x = 21.2 to the nearest penny

Answer:

21.15

Step-by-step explanation:

22 × 10 = 220

100%+4%=104

104 ÷ 10 = 10.4

220 ÷ 10.4 =21.15384615

To the nearest penny it would be 21.15

Answer:

The answer is 68 degrees Fahrenheit.

Step-by-step explanation:

The equation to convert Celsius to Fahrenheit is (C × 9/5) + 32.

So, first we calculate Celsius times 9/5.  20×9/5 = 36.

Then, we add 36 and 32 together.  36+32= 68

So, 68 is your answer.

Answer:

7 ducks equals 7 pigs.

Step-by-step explanation:

English Translation

On a farm it is observed that for 12 ducks there are 5 chickens, for three chickens there are 8 turkeys, for 10 turkeys there are 9 pigs. How many ducks equals 7 pigs?

Solution

For 12 ducks, there are 5 chickens

12 ducks = 5 chickens

For 3 chickens, there are 8 turkeys

3 chickens = 8 turkeys

For 10 turkeys, there are 9 pigs

10 turkeys = 9 pigs

We first need to create a direct relationship between ducks and pigs to know how many ducks are equivalent to 7 pigs.

9 pigs = 10 turkeys

8 turkeys = 3 chickens

10 turkeys = (10×3/8) chickens = 3.75 chickens

Hence, 9 pigs = 10 turkeys = 3.75 chickens

9 pigs = 3.75 chickens.

12 ducks = 5 chickens

5 chickens = 12 ducks

3.75 chickens = (3.75×12/5) ducks = 9 ducks.

9 pigs = 3.75 chickens = 9 ducks

9 pigs = 9 ducks.

Hence, 7 pigs = 7 ducks too.

Hope this Helps!!!

Answer:

g(x) = x² - 3

Step-by-step explanation:

A quadratic function has been given as,

f(x) = x²

If the function f is translated by 'h' unit down over the y-axis, the new function obtained by the translation is,

g(x) = x² - h

From the graph attached, h = 3 units (shift of 3 units downwards)

Therefore, g(x) = x² - 3 will be the translated version of f(x).

Step-by-step explanation:

The first term is 6x3

Because he subtracted like terms 8x3 and 2x3

Answer:

6x³

Step-by-step explanation:

2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=

6x³+2x²y+2xy²+6y³

Answer:

12.73

Step-by-step explanation:

The diagonal of the square forms the shape of a right angle with two adjacent sides of the square.

The diagonal is the hypotenuse.

Pythagoras theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides of the triangle:

[tex]d^2 = a^2 + b^2[/tex]

where d = hypotenuse = diagonal.

Since the other two sides are equal, then:

[tex]d^2 = a^2 + a^2\\\\d^2 = 2a^2[/tex]

The length of the side of the square is 9:

[tex]d^2 = 2 * 9^2 \\\\d^2 = 2 * 81\\\\d^2 = 162\\\\d = \sqrt{162}\\ \\d = 12.73[/tex]

The length of the diagonal is 12.73

Answer:

12.73

Step-by-step explanation:

Answer:

The answer is A, parallel.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

took the test

Answer:

5/7, 11/15, 23/31, 47/63

Step-by-step explanation:

any number you can write into a fraction between those numbers

Answer:

The length of a is equal to 14.9.

The angle measure of b is equal to 71°.

The length of c is equal to 25.5.

General Formulas and Concepts:
Pre-Calculus

Law of Sines:
[tex]\displaystyle \bold{ \frac{\sin A}{a} = \frac{\sin B}{b} = \frac{\sin C}{c} }[/tex]

Step-by-step explanation:

Step 1: Define

Identify given from triangle.

Length corresponding with x°: 14.9

Other given angle: 71°

Length corresponding with 71°: 25.5

Step 2: Find Values

∴ we have completed the expression using Law of Sines.

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Topic: Precalculus

Unit: Trigonometry

Answer:

16x9= 144 cm2

Step-by-step explanation:

I think,

the value of x is 90°

Answer:

The approximate solution to the system is (1.2, 4.4)

x = 1.2 and y = 4.4

Step-by-step explanation:

The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation  = 4.9x – 1.64.

The solution of the system of equations is their point of intersection shown on the graph.

The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.

So the approximate solution to the system is (1.2, 4.4)

Answer:

4

Step-by-step explanation:

LJK is a special right triangle with angle measures of 90° 60° 30°

If the side length of hypotenuse is 8√2 the side length that sees 30° would be half of it so it's 4√2

LMJ is a special right triangle with angles 90° 45° 45° and if the side length of hypotenuse is 4√2 the the value of equal sides would be 4

Answer:

-128 it’s on the table

Step-by-step explanation:

HEY!HERE IS UR ANSWER:

So as x=-12

Well then y=-200-6(-12)

y=-200+72 {Positive 72 cause negative 6 * negative 12 equals positive 72}

y=-128

HOPE IT MAKES UR DAY BETTER!!

Answer:

-8, 3

Step-by-step explanation:

[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]

[tex]the \: right \: options \: are \\ option \: b \\ option \: c \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]