Of 14 possible books you plan to take 8 with you on vacation how many possible coalitions of 8 could you have?

Answer:

#a

This is a cube. Let us find the surface area of the cube now

Surface are of a cube = 6 a²

                                     = 6 × 1.2 × 1.2

                                     = 6 × 1.44

                                     = 8.64 cm²

# b

This is a right trianglular prism.

First you have to find the area of the 2 triangles

Before that,

we have to find the height of the triangle using pythagoras theorem.

Let us solve,

[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]

Now let us find the area of 2 triangles.

[tex]Area =2*\frac{1}{2} *4*3\\[/tex]

[tex]Area =12mm^{2}[/tex]

Now lets find the total area of 3 rectangles.

( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )

28 mm² + 35 mm² +21 mm²

= 84 mm²

And now lets find the total surface area of this solid.

12 mm² + 84 mm²

= 96 mm²

Hope this helps you.

Let me know if you have any other questions :-)

Answer:

4+1+4+g=36

g=27

dg=32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

DE : EF : FG = 4 : 1 : 4

DG = 36

DG = DE + EF + FG

-> 4x + x + 4x = 36

9x = 36

x = 4

so EG = EF + FG

= x + 4x

= 5x

= 20

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{1}{2}a = 7}}\\\\\large\text{MULTIPLY 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{2\times\dfrac{1}{2}a= 2\times7}}\\\\\large\text{CANCEL out: }\rm{2\times\dfrac{1}{2}}\large\text{ because it gives you 1.}\\\large\text{KEEP: }\rm{2\times7}\large\text{ because it helps you get your a-value}\\\\\large\boxed{\mathsf{a = 2\times7}}\\\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{a = 14}}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\mathsf{a = 14}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

7.5

Step-by-step explanation:

Lets give Oliver "O", and Sam "S".

O is 6 more than twice as old as Sam

O = 2S + 6

Since Oliver is 21, we can substitute it in

21 = 2S + 6

2S = 15

S = 7.5

Answer:

$10.83

Step-by-step explanation:

bill/percent

Answer:

6z-30 :D

Step-by-step explanation:

The perimeter of a square is just all the sides added up together. To do this we can make an equation.

2(z-5) + 2(2z - 10)

This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.

2z - 10 + 2(2z - 10)

We then use the distributive property by multiplying 2z - 10 by 2.

2z − 10 + 4z − 20

We then combine 2z and 4z to get 6z.

6z − 10 − 20

Subtract 20 from 10 to get -30.

6z-30.

Answer:

Step-by-step explanation:

Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10

= 6z - 30...ans

Answer:

if there are 2 negatives by each other it would become a postive so -5+8

Step-by-step explanation:

Answer:

-5+8

Step-by-step explanation:

minus a negative is equivalent to plus a positive

Answer:

6:5:3

5:3:6

3:5:6

5:6:3

Step-by-step explanation:

Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]

Answer:

12

Step-by-step explanation:

2007 - 1995

Answer:

  9.2 units

Step-by-step explanation:

The length of the segment between the points is equal to the difference of their coordinates:

  3.7 -(-5.5) = 3.7 +5.5 = 9.2 . . . units

Answer:

9.2

Step-by-step explanation:

5.5+3.7=9.2

Hope this helps!

Brainliest pls

Have a great day!

Answer:    Use Gauth Math. What is the topic about?

Step-by-step explanation:

Answer:

Step-by-step explanation:

COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))

Answer:

150

Step-by-step explanation:

Answer:

Each pencil is $.50

Step-by-step explanation:

If the total amount she spends is 1.50 for 3 pencils, and each pencil costs the same. Then you have to divide the total amount by the variables. Leaving your equation to be:

1.50 ÷ 3

equaling

.50

Let cost of each pencil be x

ATQ

[tex]\\ \rm\hookrightarrow 3x=1.50[/tex]

[tex]\\ \rm\hookrightarrow x=1.5/3[/tex]

[tex]\\ \rm\hookrightarrow x=0.5[/tex]

Answer:

18 square inches

Step-by-step explanation:

Area of triangle = bxh/2

b=3, h=12

Area = 3x12/2

Area = 36/2

Area = 18 square inches

Answer:

21

Step-by-step explanation:

Mean is the average of the objects

With five people, the mean is the average age of these people so what did you divide 5 into to get 39.

5 × 39 = 195

After a person enter the room, total 6 in the room with a mean of 36.

6 × 36 = 216

Now the age of the person who entered the room  216 - 195 = 21

4n + 8 = 40

4n = 40 - 8

4n = 32 / : 4

n = 8

N = 8

Hope this helps!!! if so please give brainliest

Maki~

Answer:

Yes. 34.79 is a rational number because it can be written as a fraction.

Step-by-step explanation:

Hoped this helped.

Answer:

Triangle

Area-9 units

Perimeter-9 units

Rectangle

Area- 18

Perimeter- 18

Step-by-step explanation

For the triangle, you first plot the points. Then you find two of the side lengths and multiply them together. After that you divide the result by two. You get the area. You add the sides together for the perimeter. For the rectangle, you have 3 and 6. Multiply to get 18. 3+3+6+6 is also 18.

Answer:

15 slices

Step-by-step explanation:

Joe ate 2 slices (1/4 = 2/8), Rhoda ate 3 (3/8), Chris ate 4.

2+3+4= 9.

there are 3 pizzas divided into 8 slices per pizza.

3 x 8 = 24 ; 24 slices total

subtract 9 (that’s what was consumed) from 24.

24-9 = 15

I hope it helps.

Answer:

the answer is negative 11.55

Step-by-step explanation:

-2.4+-5.3=-7.7.

7.7(1.5)=-11.55

Answer:

where is the figure? or tell us the area and width of the figure

Answer:

43

Step-by-step explanation:

DO the math

Answer:sadddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

ddddddddddddddddddddddddddddddddddddddddddddddddddddddddd