Can someone explain this step by step? I'm very confused on how to solve it. Thanks!

[tex]\qquad\huge\underline{{\sf Answer}} ♨[/tex]

Total surface area :

[tex]\qquad \sf  \dashrightarrow \:2(lw + wh + lh)[/tex]

[ l = Length, w = width, h = height ]

[tex]\qquad \sf  \dashrightarrow \:2 \{(6 \times 2) + (2 \times 3) + (6 \times 3) \}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \{12 + 6+ 18\}[/tex]

[tex]\qquad \sf  \dashrightarrow \:2 (36)[/tex]

[tex]\qquad \sf  \dashrightarrow \:72 \: ft {}^{2} [/tex]

Answer:

[B] - 1/3

Step-by-step explanation:

Given:

-8x-5(1-x)=6x-2

Solve:

Expand : -8x - 5(1-x) : -3x -5

-3x - 5 = 6x -2

Add 5 to both sides (Balance)

-3x-5+5=6x-2+5

Simplify

-3x = 6x + 3

subtract 6x to both sides (Balance)

-3x - 6x = 6x +3 -6x

Simplify

-9x = 3

Divide both sides by -9 (Balance)

-9x/-9=3/-9

Simplify

x = -1/3

[RevyBreeze]

Answer:

3(x + 8) = 6

Step-by-step explanation:

let the number be x then the sum of x and 8 is x + 8 and multiplied by 3 is

3(x + 8) = 6 ( divide both sides by 3 )

x + 8 = 2 ( subtract 8 from both sides )

x = - 6

the number x is - 6

Answer:

Step-by-step explanation:

Answer:

ling

Step-by-step explanation:

you just have to compair the girls

and from the bar gragh ling is he sortest.

Answer:

179.50

Step-by-step explanation:

The formula for calculating pi is as followed: 4/3·π·r³

The question is either asking to calculate using 3.14 for π or add π at the end of your answer instead of completing it. I will substitute π for 3.14.

∴V=4/3·3.14·3.5³

V=179.503333333

Round your answer to the nearest hundredth:

179.503333333 rounded to the nearest hundredth becomes 179.50

∴V=179.50

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Another way to answer this question is to use the same formula; but not substitute 3.14 into the answer.

V=π.4/3·r³

V=π·57.1666666667

Round 57.1666666667: 57.17

V=57.17π

Either one would work. Hope this works.

Answer:

150m

Step-by-step explanation:

work = force x distance

w=fd

d=w/f

d= 4500/30 = 150

We can't determine right off the bat what values of x make this inequality true, so we should solve it first.

First, use the distributive property and distribute 3 :

3(x+2)-x<8

3x+6-x<8

Now subtract 6 on both sides :

3x-x<8-6

3x-x<2

now , subtract the x's :

2x<2

Divide by 2 on both sides :

x<1

Let's try -1 (-1 is less than 1)

Plug it in ↓

3(-1+2)-(-1)<8

3(1)+1<8

3+1<8

4<8

4 is less than 8.

hope helpful ~

Answer:

x < 1

Step-by-step explanation:

Expand the brackets: 3 * x = 3x and 3 * 2 = 6

Current inequality: 3x + 6 - x < 8

Collect like x terms: 3x - x = 2x

Current inequality: 2x + 6 < 8

Collect like integer terms: subract 6 from both sides

Current inequality: 2x < 2

Convert 2x to x: divide both sides by 2

Final answer = x < 1

Hope this helps :)

Answer:

Ray.

Step-by-step explanation:

Lines have no endpoints, while rays have 1 endpoint (:

Answer:

in order to know the money that he receive first the type and amount of box must be described unless the question may not have answer.

The transformations that would prove that circles A and C are similar are:

The circles are given as:

Circle A and B

Assume the following parameters:

To start with;

The circle A must be reflected across the line y = x with the following transformation rule:

(x,y) -> (y,x)

So, we have:

(2,3) -> (3,2)

Next, the radius of A must be dilated by 3/2 as follows:

New Radius = 3/2 * 2 = 3

After the transformations, we have the following parameters:

Notice that both circles now have the same center and radius.

Hence, both circles are similar

Read more about similar circles at:

https://brainly.com/question/9177979

Answer:

  43°

Step-by-step explanation:

Triangle ADM is a right triangle with legs AD=4 cm and DM=√18 cm. The angle at M is the angle of interest. It can be found using the inverse tangent function.

  Tan = Opposite/Adjacent

  tan(∠AMD) = AD/MD = 4/√18

  ∠AMD = arctan(4/√18) ≈ 43.31°

The angle the plane makes is about 43°.

Answer:

the measure of the angle that the plane ABC makes with the base of the prism = 43 degree (to the nearest degree)

Step-by-step explanation:

We notice that the plane ABC and the base of the prism intersect along the line BC

And as the plane (ADM) is perpendicular to the line BC

then the angle between the plane ABC and the base of the prism is the angle AMD

Let θ be the measure of the angle AMD

[tex]\begin{aligned}\tan (\theta) &=\frac{A D}{M D} \\&=\frac{4}{\sqrt{18}}\end{aligned}[/tex]

[tex]\begin{aligned}\Rightarrow \theta &=\tan ^{-1}\left(\frac{4}{\sqrt{18}}\right) \\&=43,31385 \ldots\end{aligned}[/tex]

The statement that described the triangle properties is that the segment YZ and segment Y"Z" should be proportional when the dilation is done and it should be congruent when the translation should be done.

Given that,

Based on the above information,

Therefore we can conclude that option d is correct.

Learn more: https://brainly.com/question/25063346

Answer:

because of some theorm or postulate i forget the name of, angles on opposite sides are equal
110 = 4t + 90
20 = 4t
5 = t
t is equal to 5 degrees

[tex]if\ \alpha < 3[/tex]

[tex]f(\alpha )=3\alpha[/tex]

[tex]if\ x\ \geqslant 3[/tex]

[tex]f(x)=2x[/tex]

[tex]Sin\ you\ get\ the[/tex]

[tex]yoiclure\ on\ the[/tex]

[tex]right.[/tex]

I hope this helps you

:)

The choice that matches the graph of the function as is defined to us is: Graph A.

A function in math is a rule or expression that defines a relationship between one variable (the input or independent variable) and another variable (the output or dependent variable).

We are given a function f(x) as:

f(x)=   2x    if x < 3 and 4 if  x ≥ 3

This means that in the region (-∞,3) the graph of a function is a straight line that passes through the origin and has a open circle at x=3. and in the region [3,∞) the graph is a straight horizontal line i.e. y=4.

Hence, the graph of this function is: Graph A.

Learn more about functions, click;

https://brainly.com/question/29657983

#SPJ7

Answer:

i think 5 prisms are cool

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

if 75% voted that is 45 people meaning 15 did not vote.

Answer:

LA = 720 , SA = 780

Step-by-step explanation:

find the missing length of the triangle using Pythagoras then use this value (8) to find the surface area of the sides and the triangle.Add up the values.

Answer:

Step-by-step explanation:

To find the lateral surface area of triangular prism, first we need to know the three sides of the triangle. Here, one side is missing and we have to find that using Pythagorean theorem. Let the unknow side of the triangle be 'c'

Pythagorean theorem,

15² + c² = 17²

225 + c² = 289

         c² = 289 - 225

         c² = 64 = 8*8

c = 8 in

a = 17 in & b = 15 in & h = 18 in

[tex]\boxed { \text{Lateral surface area = (a + b + c)*h }}[/tex]

                                = ( 17 + 15  + 8 ) * 18

                                = 40 * 18

                                = 720 in²

[tex]\boxed { \text{total surface area = LSA + 2* area of base triangles}}[/tex]

[tex]\text{ area of base triangles = 2* $ \dfrac{1}{2}*base*height $}[/tex]

                                  = base * height

                                  = 8 * 15

                                   = 120 in²

Total surface area = 720 + 120

                                = 840 in²

Answer:

3950

Step-by-step explanation:

-50 + (-44) + (-38) + 2038 + 2044

-94 +  (-38) + 2038 + 2044

-132 + 2038 + 2044

1906 + 2044

3950
Hope this helps :)

Solution:

348950

Explanation:

( first term + third term )/2 = second term

Thus it is arithmetic series.

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

Solving step-wise:

=================

Here,

[tex]\sf S_n = \dfrac{n}{2} (2a+(n-1)d)[/tex]

[tex]\sf S_n = \dfrac{350}{2} (2(-50)+(350-1)(6))[/tex]

[tex]\sf S_n =348950[/tex]

Answer:

The first one is obtuse because it is larger than 90 degrees.

The second one is reflex shown below:

Step-by-step explanation:

Answer:

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Step-by-step explanation:

Given:

shape of object = Pyramidal

length of base l= 4ft

width of base w = 3ft

height of pyramid h = 6 ft

To find:

volume of pyramid = ?

Solution:

[tex]Volume \: of \: pyramid= \frac{l \times w \times h}{3} \\ Volume \: of \: pyramid= \frac{6 \times 4 \times 3}{3} \\ Volume \: of \: pyramid= \frac{24 \times \not3}{ \not3} \\ Volume \: of \: pyramid= 24 \: {ft}^{3} [/tex]

[tex] \fbox{Volume \: of \: pyramid \: = 24 ft³}[/tex]

Step-by-step explanation:

31+27+19+18+22+21+25+29+34+30 divided by 10

Answer:

          75

-    _____________

        10x^4−27

Step-by-step explanation:

Answer:

Step-by-step explanation:

First we do all brcakets becuase we are following the law of BODMAS.

2×-5×3 = -10×3= -30

Now we do all powers and indices:

-5²= 25

10²= 100

3³ = 27

Now we do the top of the fraction:

25+100 = 125

Now we do the bottom bit of the fraction:

-30+27 = -3

Now we divide 125 by -3:

-41 2/3

-41.666.....

a. False; if b is negative, then -b is positive, so

a - b = a + (-b)

is the sum of two positive numbers, which must be positive.

b. True; the sum of two negative numbers is again negative.

c. True; a + b will be positive as long as a > |b|. (For example, if a = 2 and b = -1, then of course 2 > |-1| = 1, and a + b = 2 + (-1) = 1 > 0.)

d. False; this would contradict the result of part (c). b + a is only negative if a ≤ |b|. (For example, if a = 1 and b = -2, then b + a = -2 + 1 = -1 < 0.)

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Explanation:

The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.

We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.

We'll use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]

It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.

Answer:

mean=86+72+16+42+16+55+16+12+91+55/2

mean=230.5

mode=16-unimodal

median the middle value but in the first arrange in ascending order.

12,16,42,55,72,86 and 91

median=55

hope it helps!