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3 years ago

Help me solve this please!!

Mathematics

2 answers:

mars1129 [50]3 years ago

5 0

Answer:

The answer is

$a = 9 \sqrt{3} \: and \: b = 9$

soldier1979 [14.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = $\frac{\sqrt{3} }{2}$ , cos60° = $\frac{1}{2}$

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{a}{18}$ ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 × $\frac{\sqrt{3} }{2}$ = 9 $\sqrt{3}$

-------------------------------

cos60° = $\frac{adjacent}{hypotenuse}$ = $\frac{b}{18}$ ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 × $\frac{1}{2}$ = 9

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A number pattern was created by dividing the previous term by 3. If the starting value for the pattern was 135, which of the fol

Alex787 [66]

Answer:

B. 135, 45, 15, 5...

Step-by-step explanation:

I'll go in order from 135 using the pattern shown (tᵇ/3)

135 / 3

135 = 120 + 15

135/3 = (120/3) + (15/3)

135/3 = 40 + 5

135/3 = 45

All four answer choices show this, so no elimination yet.

45 / 3

45 = 30 + 15

45/3 = (30/3) + (15/3)

45/3 = 10 + 5

45/3 = 15

A and D show 30 as term 3, so they are out.

15 / 3

15/3 = 5

C shows 2 as term 4, so that is also out.

This leaves B as the correct answer.

3 0

3 years ago

Hello can someone please help me on this :)

Zielflug [23.3K]

Answer:

Step-by-step explanation:

Find value of P that makes this true

4p-5=`9

Solve for P by isolating it on one side:

4p-5+5=9+5

4p/4=14/4

P=3.5

Translate the Algebraic Expression:

A waiter earns $128 for 6 hours of work including $86 of tips.

Subtract tips from total:

128-86=42

Divide Value between hours.

42/6=7

$7 per hour

Find the Value of X that makes this true

-4x+26=-2

Solve for X by isolating it on one side:

-4x+26-26=-2-26

-4x/-4=-28/-4

X=7

What is the first correct step in solving the equation:

33-2x=31

Subtract 33 from both sides

HOPE I HELPED!

BRAINLIEST WOULD BE APPRECIATED!

6 0

3 years ago

Read 2 more answers

The Southside Band marches 1 3/4 miles in an hour in a parade. How far can they march in 5 hours? Multiply. (Enter as an imprope

OlgaM077 [116]

Well you start on the south side of the band and if it works to the 1 to 3 mile ratio then you have your awnser
I hope this helps

8 0

3 years ago

Solve a-c=d-r for a<br><br> please help me :)

Vesnalui [34]

Answer:

a = d - r + c

Step-by-step explanation:

Simply switch the terms around a bit and you have the answer.

Hope this helped!

3 0

3 years ago

Read 2 more answers

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

olga2289 [7]

Answer:

a. C(1,000) = 420,491.11

b. c(1,000) = 420.49

c. dC/dx(1,000) = 429.72

d. x = 900

e. c(900) = 420

Step-by-step explanation:

We have a cost function for x units written as:

$C(x) = 54,000 + 240x + 4x^{3/2}$

a. The total cost for x=1000 units is:

$C(1,000) = 54,000 + 240(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=54,000+240,000+4\cdot 31,622.78\\\\C(1,000)=54,000+240,000+ 126,491.11 \\\\C(1,000)= 420,491.11$

b. The average cost c(x) can be calculated dividing the total cost by the amount of units:

$c(1,000)=\dfrac{C(1,000)}{1,000}=\dfrac{ 420,491.11 }{1,000}= 420.49$

c. The marginal cost can be calculated as the first derivative of the cost function:

$\dfrac{dC}{dx}=240(1)+4(3/2)x^{3/2-1}=240+6x^{1/2}\\\\\\\dfrac{dC}{dx}(1,000)=240+6(1,000)^{1/2}=240+6\cdot 31.62=429.72$

d. This value for x, that minimizes the average cost, happens when the first derivative of the average cost is equal to 0.

$c(x)=\dfrac{C(x)}{x}=\dfrac{54,000+240x+4x^{3/2}}{x}=54,000x^{-1}+240+4x^{1/2}\\\\\\ \dfrac{dc}{dx}=54,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\\\\dfrac{dc}{dx}=-54,000x^{-2}+2x^{-1/2}=0\\\\\\2x^{-1/2}=54,000x^{-2}\\\\\\x^{-1/2+2}=54,000/2=27,000\\\\\\x^{3/2}=27,000\\\\\\x=27,000^{2/3}=900$

e. The minimum average cost is:

$c(900)=54,000(900)^{-1}+240+4(900)^{1/2}\\\\c(900)=60+240+120\\\\c(900)=420$

7 0

3 years ago