Evaluating Expressions
Use the order of operations to help you solve.
5 x (20 = 4)
62-2 x 6
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Given:

A figure that contains a right triangular prism and cuboid.

To find:

The volume of the figure.

Solution:

The dimensions of cuboid are 16 in, 7 in and 3 in.

So, the volume of the cuboid is:

[tex]V_1=Length\times Width \times height[/tex]

[tex]V_1=16\times 7 \times 3[/tex]

[tex]V_1=336[/tex]

The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is

[tex]B=\dfrac{1}{2}\times Base\times Height[/tex]

[tex]B=\dfrac{1}{2}\times 3\times 5[/tex]

[tex]B=7.5[/tex]

The volume of a prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

[tex]V_2=(7.5)(6)[/tex]

[tex]V_2=45[/tex]

The volume of combined figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=336+45[/tex]

[tex]V=381[/tex]

Therefore, the volume of the figure is 381 cubic in.

Answer:

x =  -25/6

Step-by-step explanation:

6 (x + 4) + 1 = 0

6x + 24 + 1 = 0

6x + 25 = 0

6x = -25

x = -25/6

Answer:

-108

Step-by-step explanation:

(-2)²(-3)³​

When a number has an exponent, it means that the number is being multiplied to itself. For example, in (-2)², it means (-2) multiplied by itself twice since the exponent is 2. And for (-3)³​, it means (-3) multiplied by itself 3 times since the exponent is 3.

= (-2)(-2)(-3)(-3)(-3)

Multiply. Remember that two negative numbers multiplied together make a positive number, and a positive and a negative number multiplied together make a negative.

= (4)(-3)(-3)(-3)

= (-12)(-3)(-3)

= (36)(-3)

= -108

Therefore, the answer is -108.

I hope this helps!

Altura = 16  

Base = 9

(16 * 9 = 144)

Perímetro = 50

(16*2 + 9*2 = 50)

Answer:

The area of the trapezoid is 152 square centimeters.

Step-by-step explanation:

The formula for finding the area of a trapezoid is [tex]\frac{a+b}{2} *h[/tex], where a and b are bases and h signifies the height.

Find the second base's length by adding 18 + 2 = 20.

Input values next:

[tex]\frac{18+20}{2} *8=152 cm^2[/tex]

Hope this helps; have a great day!

Answer:

36 number of 2/3-pint bottles can be filled from a 24-pint container

Step-by-step explanation:

Volume of the container is 24 pint

Volume of the bottle is 2/3 pint

Number of 2/3 pint bottles that can be filled from 24 pint container is

[tex]\frac{24}{\frac{2}{3} } \\= 24 * \frac{3}{2} \\= 12 * 3\\= 36[/tex]

36 number of 2/3-pint bottles can be filled from a 24-pint container

Answer:

Step-by-step explanation:

use the co-terminal idea Scarlett,  990° = 270 °.  You can see this just by looking at the picture.

Tan(270 ) = sin(270) / cos(270)  = -sin(90) / cos(90)   so now we know that Tan(270) is one of the non-existant angles b/c  cos(90) = 0 and that would mean that we have some number over 0... and then the universe blows up.. like my calc II professor liked to say  :| I think he was being a bit dramatic. :P anyway,  you want answers not long boring stories.. :D   so Tan(270)           DNE  ( does not exist )

If we were to look at a graph of Tan  , we'd see that at 270° or 3[tex]\pi[/tex]/2 ,  Tan runs off to infinity.   So there isn't a number to represent it.  :/    I'm attaching a picture of the  graph

notice in the graph, that when tan gets to 3/2,  it's running off to infinity ??  

Answer:

Yes it is a function.

Step-by-step explanation:

It's a function because each input is paired with only one output.

hope this helps and is right :)

Answer:

33/90 is the answer

Step-by-step explanation:

exactly what you have there is the procedure

Answer:

answer in the picture

Step-by-step explanation:

Answer:

circumference of circle=2πr

hope it helps.

Answer:

y = 4/3x + 6

Step-by-step explanation:

y = 4/3x + b

2 = 4/3(-3) + b

2 = -4 + b

6 = b

y = 4/3x + 6

Answer:

3/8 , 3/6. 3/4

Tad drove the least miles because the miles ridden is less than both 3/6 and 3/4 miles

Dale rode the second greatest mile because the miles ridden is greater than 3/8 but less than 3/4

Harrison rode the greatest mile because the miles ridden is greater than both 3/6 and 3/8

Step-by-step explanation:

to order the miles ridden , convert the fraction to decimals. to do this, divide the numerator by the denominator

3/4 = 0.75

3/6 = 0.5 miles

3/8 = 0.374

9514 1404 393

Answer:

  y = -|x -1| +2

Step-by-step explanation:

The transformation ...

  -f(x -h) +k

reflects function f(x) over the x-axis, translates it 'h' units to the right and 'k' units up.

Your absolute value function is reflected over the x-axis, then translated 1 unit right (h=1) and 2 units up (k=2). Putting these values in the function, we have ...

  y = -abs(x -1) +2

  y = -|x -1| +2

Answer:

50% chance

Step-by-step explanation:

Answer:

Step-by-step explanation:

The M.A.D is 12.24, also u meant to put the first 95 as a 90 lol.

Answer:

The M.A.D is 12.24

Step-by-step explanation:

Answer:

0.75 is the answer!

Step-by-step explanation:

1/4+1/2=0.75

Answer: A negative times a negative is always positive because the two negative signs are canceled out.

Step-by-step explanation:

If you seek a more in-depth explanation, Khan Academy actually has a video available on this topic!

Answer:

x=70°

Step-by-step explanation:

Three triangles can be made out of that shape so total int. angles = 3 x 180°=540°.

so 40 + 110 + 4x + 40 + x = 540°

190+5x=540°

5x=350°

x=350/5=70°

Answer:

Tom's median video game score is less than Brad's median video game score.

Answer: $4,428.27

Step-by-step explanation:

First you have to find out how many shows are in three months. If there is 3.5 shows in one month, multiply this by three to get the amount in 3 months.

3.5 x 3 = 10.5 shows

Now multiply the amount the band makes in one show by the number of shows.

$421.74 x 10.5 shows = $4,428.27 over the course of three months.

Hope this helps!

Answer:

113

Step-by-step explanation:

note: to find the circumference of a circle using the radius, you use this equation -- 2[tex]\pi[/tex]r. since the radius is 18, you make the equation 2[tex]\pi[/tex]18. that gets you 36[tex]\pi[/tex], which, if put into the calculator, is about 113.

Answer:

8x²+16x+8=0

x²+2x+1=0

D=4-4=0

x0=-2/2=-1

Answer:

Step-by-step explanation:

[tex]8x^2+16x+8=0[/tex]                  {divide both sides by 8}

[tex]x^2+2x+1=0\\\\a=1\,,\quad b=2\,,\quad c=1\\\\x=\dfrac{-2\pm\sqrt{2^2-4\cdot1\cdot1}}{2\cdot1}=\dfrac{-2\pm\sqrt{4-4}}2=\dfrac{-2\pm0}2=-1[/tex]

Answer:

5

Step-by-step explanation:

25% of 20 is 5

Answer:28

Step-by-step explanation:

Answer:

<6 and <3 are congruent to <1.

Answer:

angle 7

Step-by-step explanation:

angle 1 + angle 5 =180

and angle 5 = angle 7

angle 1 is congruent to angle 7

it's incorrect

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.