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Bad White [126]
3 years ago
14

…………………….. ……………………..

Mathematics
1 answer:
Kipish [7]3 years ago
7 0
<h3>Answer:   24.3</h3>

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

Work Shown:

Apply the tangent ratio. Make sure your calculator is in degree mode.

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(39) = x/30

30*tan(39) = x

x = 30*tan(39)

x = 24.2935209958502

x = 24.3

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Use the function to answer the question.
katrin2010 [14]
Put 6 into f(x). 2(6)-8 = 4
Put that 4 into g(x)
4-5 =-1

-1
8 0
3 years ago
a new car is purchased for $17,900 the value of the car depreciates at 13% per year what will the value of the car be to the nea
liberstina [14]

Answer:

The value of the car would be 6753

Explanation

<u>Year     | Value <   |  Deprec. | Balance</u>

Year 1 17900 2327 15573

Year 2 15573 2024 13549

Year 3 13549 1761          11787

Year 4 11787 1532 10255

Year 5 10255 1333 8922

Year 6 8922 1160         7762

Year 7 7762 1009 6753

https://goodcalculators.com/percentage-depreciation-calculator/ - Where I got your answer if you have more problems like this!

3 0
4 years ago
7x + 31= 8x- 1 (27x+3)<br> -<br> 3
Tresset [83]

AnswEr :

⠀⠀⠀⠀

The value of q is -1.42

⠀⠀⠀⠀

<u>______________________</u>

⠀⠀⠀⠀

➤ How to solve ?

⠀⠀⠀⠀

That's quite easy but you need to recall the BODMAS rule .

⠀⠀⠀⠀

BODMAS rule states the correct sequence to solve an equation . First we need to solve the bracket part then solve if any of is present moving further to division then multiplication carrying with addition atlast subtraction

⠀⠀⠀⠀

In this equation we will solve the bracket then we will apply further BODMAS rule

⠀⠀⠀⠀

<u>━━━━━━━━━━━━━━━━━</u>

SolutiOn :

➠ 7x + 31 = 8x - 1 ( 27x + 3 ) -3

➠ 7x + 31 = 8x - 27x - 3 - 3

Now, we will bring the variable on left hand side and constants on right hand side

➠ 7x - 8x + 27x = - 31 - 3 - 3

➠ 26x = -37

➠ x = -37/ 26

➠ x = - 1.42

∴ The value of x is -1.42 .

<u>━━━━━━━━━━━━━━━━━</u>

3 0
3 years ago
What expression is equivalent to 2(x+4)
Arte-miy333 [17]

Answer:

2x + 8

Step-by-step explanation:

solve by using the distributive property

2(x + 4) = (2)(x) + (2)(4)

2x + 8

5 0
3 years ago
For ΔABC, ∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20. If ΔABC undergoes a dilation by a scale factor of 1 2 to create ΔA'B'C'
Sholpan [36]

Answer: It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

Step-by-step explanation:

Since we have given that

In ΔABC,

∠A = 8x - 10, ∠B = 10x - 40, and ∠C = 3x + 20

In ΔA'B'C',

∠A' = 6x + 10, ∠B' = 70 - x, and ∠C' = 10x 2

Since ΔABC gets a dilation by a scale factor of \dfrac{1}{2}

So, it becomes,

\dfrac{\angle A}{\angle A'}=\dfrac{1}{2}\\\\\dfrac{8x-10}{6x+10}=\dfrac{1}{2}\\\\2(8x-10)=6x+10\\\\16x-20=6x+10\\\\16x-6x=10+20\\\\10x=30\\\\x=\dfrac{30}{10}=3

Now, put the value of

\angle B=10(3)-40=30-40=-10\\\\and \angle B'=70-30=40

It does not confirm that ΔABC∼ΔA'B'C by the AA criterion as the measure of angle B is negative which is not possible.

8 0
3 years ago
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