1. For each diagram below, find the value of x

Answer: 55.2 cm^2

Step-by-step explanation:

2(4x2.5 + 2.5x1.2 + 1.2x4) = 35.6 cm^2

(2x1.2x4 + 4x2.5) = 19.6 cm^2

(35.6 + 19.6) = 55.2 cm^2

Total deduction

Now

Earnings after deduction

Total hours:-

You will have to work 110.5 hours to buy the new computer.

A tax is some specific financial amount or some other charged taxpayer by the government in order to fund government spending.

Given is that you have to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If you are paid $10.00/hour and your deductions are -

FICA (7.65%),

Federal tax withholding (12%)

State tax withholding (8%).

Total money earned after all the deductions -

A{n} = 10 - {7.65% of 10 + 12% of 10 + 8% of 10}

A{n} = 10 - {7.65/100 x 10 + 12/100 x 10 + 8/100 x 10}

A{n} = 10 - {7.65/10 + 12/10 + 8/10}

A{n} = 10 - 2.765

An = 7.235

Cost of new computer = $800.

For 1 hour. you earned $7.235.

Then, you will earn $1 in (1/7.235) hours

So, you will earn $800 in (1/7.235 x 800) = 110.5

Therefore, you will have to work 110.5 hours to buy the new computer.

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10

solve:

14 - (2(x) - y)

given x : 3, y : 2, insert the following

[tex]\\ \rm\rightarrowtail 14-(2x-y)[/tex]

[tex]\\ \rm\rightarrowtail 14-2x+y[/tex]

[tex]\\ \rm\rightarrowtail 14-2(3)+2[/tex]

[tex]\\ \rm\rightarrowtail 14-6+2[/tex]

[tex]\\ \rm\rightarrowtail 10[/tex]

Answer:

24

Step-by-step explanation:

The the triangles are similar, the lengths of corresponding sides are in proportion.

15/20 = 18/n

3/4 = 18/n

1/4 = 6/n

n = 4 × 6

n = 24

Answer:

n = 24

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio.

[tex]\dfrac{n}{18}=\dfrac{20}{15}\\\\\\n=\dfrac{20}{15}*18\\\\\\n = 4*6\\\\n = 24[/tex]

let's recall that d = rt, or namely distance = rate * time.

b = speed of the boat

c = speed of the current

now, we know that going downstream the boat went 16 miles total, that's going only one way, so the distance the boat travels downstream as well as upstream to return is 16 miles flat.

when going downstream, the boat is not really going at "b" speed, is really going at "b + c" speed, because the current is adding its speed to it, so is really going faster than "b".

when going upstream, the boat is not really going at "b" speed" either, is really going slower at "b - c" speed, because the current is against it and thus subtracting speed from "b".

let's take a look at those in a table

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Downstream&16&b+c&2\\ Upstream&16&b-c&4 \end{array}\qquad \qquad \begin{cases} 16=(b+c)(2)\\\\ 16=(b-c)(4) \end{cases} \\\\\\ \stackrel{16}{(b+c)(2)}~~ = ~~\stackrel{16}{(b-c)(4)}\implies 2b+2c~~ = ~~4b-4c\implies 2c=2b-4c[/tex]

[tex]6c=2b\implies \cfrac{6c}{2}=b\implies \boxed{3c=b} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{16~~ = ~~(\stackrel{b}{3c}+c)(2)}\implies 16=4c(2)\implies 16=8c \\\\\\ \cfrac{16}{8}=c\implies \blacktriangleright \stackrel{mph}{2}=c \blacktriangleleft~\hspace{10em}3(2)=b\implies \blacktriangleright \stackrel{mph}{6}=b \blacktriangleleft[/tex]

Answer:

Right angle (90°)

Step-by-step explanation:

Because, main Street and Oak Street are crossing each other at 90°.

Hope it helps you in your learning process.

Answer:

right angle

Step-by-step explanation:

because they're perpendicular lines

Answer:

5 and 6.

Step-by-step explanation:

7*8 is 56. 56 divided by 10 is 5 6/10

Answer:

(i)  [tex]64+192 x^2+240 x^4+160x^6[/tex]

(ii) 1072

Step-by-step explanation:

Part (i)

Using Binomial series formula:

[tex](2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3[/tex]

              [tex]=64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6[/tex]

              [tex]=64+192 x^2+240 x^4+160x^6[/tex]

Part (ii)

[tex](1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})[/tex]

               [tex]=1-\dfrac{6}{x^2}+\dfrac{9}{x^4}[/tex]

[tex](2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)[/tex]

[tex]=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...[/tex]

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

The height of the arrow will be 471 feet at 8.35s and 3.53s

An equation is an expression that shows the relationship between two or more numbers and variables.

h represent the height of the arrow after t seconds.

h(t) = -16t² + v₀t + h₀

v₀ is the initial velocity = 190 ft/s, h₀ is the initial height = 0m, hence:

h(t) = -16t² + 190t

At 471 feet:

471 = -16t² + 190t

0 = -16t² + 190t - 471

t = 8.35 or 3.53

The height of the arrow will be 471 feet at 8.35s and 3.53s

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Answer:

x = 8/3

Decimal form: 2.66666666667

Step-by-step explanation:

Given:

[tex]x+2x+8=10+6[/tex]

Solution:

[tex]\mathrm{Add\:similar\:terms:}\:x+2x=3[/tex]

[tex]3x+8=10+6[/tex]

[tex]\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}[/tex]

[tex]3x+8-8=16-8[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3x=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3x}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=\frac{8}{3}[/tex]

[tex]x=2.66666666667[/tex]

~lenvy~

Answer/Step-by-step explanation:

Base on the given we are..

Solving for x:

Solve:

X + 2x + 8 = X = 10 + 6          {x+2x= 3x}

3x + 8 = 10 + 6                        {10+6=16}

3x + 8-8=16-8                           {16-8=8}

3x = 8                                  {divide both sides by same term}

3x/3 = 8/3

Therefore,

x = 8/3

Decimal form = 2.66666666667

[RevyBreeze]

Answer:

Step-by-step explanation:

Scale:- 1box=1units

So

Take one side of each

Scale factor(A to B)

[tex]\\ \rm\rightarrowtail \dfrac{6}{10}=\dfrac{3}{5}[/tex]

#6

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{12}{6}=2[/tex]

Scale factor (B to A)

[tex]\\ \rm\rightarrowtail \dfrac{6}{12}=0.5[/tex]

Answer:

[tex]~[/tex]

Step-by-step explanation:

In given right angled traingle:

[tex]~[/tex]

In ∆ABC,

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf \dfrac {AC}{AB} = \sin35° \\[/tex]

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf \dfrac {20}{x} = 0.5736 \\[/tex]

[tex]\: \: \: \: \dashrightarrow \: \: \: \sf x = \dfrac {20}{0.5736} \\[/tex]

[tex]\: \: \: \:{ \pmb{ \pink{ \sf{ \dashrightarrow \: \: \: { x = 34.867 }}}}}[/tex]

Hence,

The miles Peyton's family had travelled when he fell asleep is 770 miles

Percentage can be described as a fraction out of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Miles when Peyton fell asleep = 77% x 1000 = 770 miles

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

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m + 8 = 20[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m = 20 - 8[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ 3}{5} m =12[/tex]

[tex]\qquad \sf  \dashrightarrow \: - \frac{ }{} m =12 \times \frac{5}{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: - m = 4 \times 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:m = - 20[/tex]

➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖

Answer:

Perimeter=36in

Length of one side=12

Length of the other side=12

Width of one side=6

Width of the other side=6

Step-by-step explanation:

6*2=12, so if the length is 12 half would be six. All of them added up is 36

Answer:

Step-by-step explanation:

[tex]perimeter \: of \: a \: rectangle = 2(2x) + 2(x) \\ 36in = 4x + 2x = 6x \\ \frac{36in}{6} = \frac{6x}{6} \\ x = 6in \\ 2x = 2 \times 6in = 12in[/tex]

Mark me brainliest!

Answer:

please see photo for details

Step-by-step explanation:

we need the length of the arc ?

the length of the arc fully around the circle (360°) is the circumference of the circle : 2×pi×r

and the arc length for 123° is then

2×pi×r×123/360

but we would need r to calculate that. you did not provide that.

the only other thing that comes to mind is : the arc angle is indeed the angle at the center of the circle and is 123°.

i don't know how else to help you, as i cannot think of anything else you might need there.

Answer:

Step-by-step explanation:

Both sin(41) and cos(x) can be represented by the ratio b/c

If the sum of two angles is equal to 90 degrees, then such angles are called complementary angles. The total of the two angles' measurements determines their complement and supplement. The pair of angles is said to be complimentary if the product of the two angles equals the measurement of a right angle. Example:

   40° is the complement of 50°.

   50° is the complement of 40°.

sin (41) = b/c

cos (x) = b/c

∴both sin(41) and cos(x) can be represented by the ratio b/c

x + 41 = 90 (∵ complementary angles)

x = 90-41 = 49

∵ sin 41 = cos x

∴ sin 41 = cos (90-41)

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Hello! I believe your answer is x= -4 so B

===

Hope this helps and feel free to give feedback

Answer:

x = -4

Step-by-step explanation:

[tex]\text{Let the 3 consecutive numbers be}~ x,~x+1~ \text{and} ~x+2.\\\\\text{According to the condition,}\\\\x+x+1+x+2 = 1146\\\\\implies 3x +3 = 1146\\\\\implies 3(x+1) = 1146\\\\\implies x+1 = \dfrac{1146}3 = 382\\\\\implies x= 382-1 = 381\\\\\text{Now, the numbers are}~ 381,~382~\text{and}~383[/tex]

Answer:

5.75

Step-by-step explanation:

Make denominator to 100 by multiplying by 25

4*25=100

3*25=75

75/100=.75

Answer:

5b

Step-by-step explanation:

Hope this helps <3

Answer:

x= -28

Step-by-step explanation:

1. First you have to add 14 to both sides to get the x by itself. That's always the first thing you have to do. Get x by itself.

2. After that, you should have -x= 28. You can't leave it like that because it is still not simplified. It's basically saying 28 is the opposite of x. What's the opposite of positive? Negative.

3. Therefore, your final answer should be -28

Answer:

x = -28

Step-by-step explanation:

Hey! First, lets establish our equation :)

-14 -x = 14

Now, we are going to get our x alone on a single side, to do this, we are going to add 14 to both sides to be able to cut out -14 on the left side!

-14 -x = 14

+14      +14

     -x = 28

The last thing we have to do is divide both sides by -1 to get x by itself without it being negative!

-x = 28

÷-1  ÷-1

x = -28

So, x, is equal to -28 (negative 28!) :)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

x = - 4

Step-by-step explanation:

i hope its helped. thank you !

Answer:

Step-by-step explanation:

120/150  = 0.8

8/10 = 0.8

8x15=120

10x15=150

Step-by-step explanation:

1 case = 24 bottles

365 cases = 365×24 = 8,760 bottles

Answer: B

Step-by-step explanation:

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

surface area = πr(r + l)

where

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area  = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

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Answer:

B)  384 π square inches

Step-by-step explanation:

E2020