Please solve using dimensional analysis

Answer:

42 degrees and 48 degrees

Step-by-step explanation:

If they are complementary, that means they add up to 90 degrees, so

4x + 5x - 18 = 90,

Solving,

9x - 18 = 90

add 18 to both sides

9x = 108

divide both sides by 9

x = 12

Now, to find the angle measures of each you have to substitute x = 12 into both angles.

4x --> 4 * 12 = 48 degrees

5x - 18 --> 5 * 12 - 18 --> 60 - 18 --> 42 degrees

Answer:

x = -2

Step-by-step explanation:

[tex]3[- x + (2x + 1)] = x - 1[/tex]

[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]

[tex] = > 3[x + 1] = x - 1[/tex]

[tex] = > 3x + 3 = x - 1[/tex]

[tex] = > 3x - x = - 1 - 3[/tex]

[tex] = > 2x = - 4[/tex]

[tex] = > x = \frac{ - 4}{2} = - 2[/tex]

Answer:

FGCG

Step-by-step explanation:

Answer:   72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

y=4(x+5)+2

y=4x+20+2

y=4x+22

The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.

Step-by-step explanation:

parallel

8g - 3 = 25

8g = 25 + 3

8g = 28

g = 28/8

g = 14/4

f + 30 + 72 = 180 (straight angle = 180°)

f = 180 - 30 - 72

= 78

Answer:

Part A - 17 full weeks

Part B - 8 hours and 30 minutes

Step-by-step explanation:

Key skills needed: Rate of change, Equation Creating & Solving

PART A

1) We need to make an equation for the amount of money Patrick saves each week. He earns $6.00 and then spends $2.00

Since he saves the rest, the amount of money he saves each week is

---> $6.00 - $2.00 = $6 - $2 = $4

2) Since Patrick saves $4 a week, let's say that the number of weeks is "[tex]w[/tex]"

Since the game costs $68 we can make the equation

--> [tex]4w = 68[/tex]

4 is the money he saves each week.

w is the number of weeks he saves

68 is the cost of the game

3) Divide by 4 on both sides and you will get --> [tex]w = 17[/tex]

(68 divided by 4 is equal to 17)

Therefore 17 full weeks is your answer.

Part B

1) Patrick earns 4 dollars for each lawn mowed. Each lawn takes 30 minutes to mow.

30 minutes is half an hour ---> This means that for each hour he would be making $8 (since $4 x 2 = $8)

2)  So if we say the number of hours is "[tex]h[/tex]", the equation we can make is

---> [tex]8h = 68[/tex]

8 is the money he makes per hour

h is the number of hours he mows the lawns

68 is the cost of the game he wants to buy for his friend

3) Divide both sides by 8 and you will get

--> [tex]h = 8.5[/tex]

(68 divided by 8 is 8.5 (8 and a half))

This means that he needs to mow lawns for 8.5 hours in order to buy the video game for his friend.

8.5 hours is the same as 8 hours and 30 minutes, which is the answer.

Hope you understand and have a nice day!! :D

Answer:

3) 21/60= 0.35

4) 5/4= 1.25

5) 9/15= 0.6 or 2/3

6) 378/15= 25.2 or 25 and 1/5

7) 1 1/2/ 2/3= 2.5

8) 28 1/3 / 3 1/3= 8.5

Step-by-step explanation:

hope this helps!

mark me brainliest please!

Answer:

in the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

Answer:

a) 4:6= 2:3 or 2/3 or .666666

b) 10:4= 5:2 or 5/2 or 2.5

Step-by-step explanation:

Answer:

The greatest number of rows is 10.

To find this you can do 32 plus 28 which equals 60 then you know 60 divided by 10 is 6 so you could have six rows and six columns or 10 rows and six columns and 10 is greater than six.

So, the greatest number of rows you can have is 10.

Answer:

Step-by-step explanation:

Given function is,

f(x) = [tex]x\sqrt{x}[/tex]

We can rewrite this function as,

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

a). Domain of the function is [0, ∞)

Derivative of the function in this domain,

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

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

Since, f'(x) > 0 in the interval [0, ∞)

Function is increasing in the interval [0, ∞)

b). For local maxima and local minima,

  Second derivative of the function,

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

         = [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex]  > 0

   So the function should have a local minima.

   But the function is continuous in the interval x ≥ 0,

   There is no local minima (only absolute minima).

c). Since, second derivative is undefined at x = 0,

   There are no inflection points.

d). Since, f"(x) > 0 in the interval [0, ∞)

   Concavity of the curve is UPWARDS.

Answer:

The equation for line k is [tex]y = -2x + 6[/tex]

Step-by-step explanation:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope.

When two lines are perpendicular, the multiplication of their slopes is -1.

The equation for line j can be written as y =1/2x-1

Since k is perpendicular to j, and the slope of j is 1/2, the slope of k is:

[tex]\frac{1}{2}m = -1[/tex]

[tex]m = -2[/tex]

So

[tex]y = -2x + b[/tex]

It passes through the point (6,-6).

This means that when [tex]x = 6, y = -6[/tex]. So

[tex]y = -2x + b[/tex]

[tex]-6 = -2(6) + b[/tex]

[tex]b = 6[/tex]

So

[tex]y = -2x + 6[/tex]

Answer:

hope this helps, brainlist? (OwO)

Step-by-step explanation:

I think the answer is 27.89 feet, C

The building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Lenght of the ladder = 32 foot

The angle formed between the ladder and the ground = 29.37°

The ladder, wall of the building, and the ground are making a right-angle triangle.

Let's suppose the base of the ladder is x feet far from the building.

Applying the Cos ratio to find the value of x:

[tex]\rm Cos29.37\°=\frac{x}{32}[/tex]

x = 27.887 feet or     (Cos29.37°  = 0.871)

x = 27.89 feet

Thus, the building is 27.89 feet far from the base of the ladder if a 32-foot ladder is leaning against a building and forms a 29.37° angle with the ground.

Know more about trigonometry here:

brainly.com/question/26719838

SPJ2

Answer:

18/3 is 6

-18/3 is -6

-18/(-3) is 6

18/(-3) is -6

Answer:

The stock lost $14 in 7 days

Step-by-step explanation: I know how to multiply.

The total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

It is given that:

The price of a stock by decreased $2 each day for seven consecutive days

The price of a stock decreased by $2 per day for seven consecutive days.

Each day the cost is decreased by $2

Therefore, in 7 days the total reduction in cost is: 7×2= $ 14

So, the total change in the value of the stock is:  -$ 14.

The total change in the value of the stock over the seven-day period is:

It decreased by $ 14

Thus, the total change in the value of the stock over the seven days is $14 if the price of a stock decreased $2 each day for seven consecutive days.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

The answer is point Q

Step-by-step explanation:

Answer:

beesechurger

Step-by-step explanation:

Answer:

x = 5, and y = 8

Step-by-step explanation:

You can solve this system by solving either of the equations for either x or y, and substituting that into the other.

Since the first equation is already defined for y, let's substitute that into the second equation:

4x - 5y = -20

4x - 5(3x - 7) = -20

4x - 15x + 35 = -20

4x - 15x = -20 - 35

-11x = -55

x = 5

We can then plug that into either of the original equations to find y:

y = 3x - 7

y = 3 * 5 - 7

y = 15 - 7

y = 8

We can also verify our answer by plugging one of the values into either of the original equations and seeing what we get:

4x - 5y = -20

4x - 5 * 8 = -20

4x - 40 = -20

4x = 20

x = 5

So we know the answer is correct.  x is equal to five, and y is equal to eight.

Answer:

Answer:

A ; D ; B ; D

Step-by-step explanation:

Given the data:

Dependent Independent

Variable Variable

Y ___ X

5 __ 15

7 __ 12

9 __ 10

11 __ 7

The general regression equation is of the form /

Y = B0 + BiX

Y = dependent variable ; B0 = intercept ` B1 = slope ; X = independent variable

Using calculator, the model obtained for the model is :

Y = 16.41176 - 0.7647x

Hence,

Least square estimate for b1 = - 0.7647

Least square estimate for b0 = 16.41176

Correlation Coefficient (R) = - 0.99705

The Coefficient of determination (R²) = - 0.99705^2 = 0.994108

.

Yes the are simailer because of SSS

Answer:

its option A

Step-by-step explanation:

Answer:

<CGD

Step-by-step explanation:

Since m<CGB = right angle = 90°, therefore:

m<CGE = 90° (linear pair angles)

Complementary angles add up to 90°.

Thus, m<CGD + m<DGE = m<CGE = 90°.

Therefore, the angle that is complementary to <DGE is <CGD

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set B

Analysis of the elements in the set B

We can check that each element in set B is a square of a whole number.

Therefore, we conclude that:

B = { square numbers less than 30 }.

or

B = {m/m is square of a whole number; [tex]0 \leq m \leq 5[/tex] }

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{3x+2}{2x-1}[/tex]

at x₁ = a,

[tex]f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}[/tex]

at x₂ = a+h,

[tex]f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}[/tex]

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      [tex]=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:[/tex]

as a+h-a = h, so    

                      [tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

Thus, the everarge rate of chnage:  [tex]\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

We can further simplify such as:

[tex]=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}[/tex]

[tex]=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}[/tex]

[tex]=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}[/tex]

Cancel the common factor h

[tex]=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}[/tex]            

Answer: .35x

Step-by-step explanation:

take the 35% and turn it into a decimal (.35)

Since the item is "X" dollars, multiply the x(.35)

This gives you .35x

Answer:

If there is a 35% discount, first convert the percent to a decimal

35% = 0.35

Then multiply the discount rate by the price of the item

x = item price

0.20x = discounted price

Answer:

3(3x + 3) - 5x - 4 = 25

9x + 9 - 5x - 4 = 25

9x - 5x - 4 = 16

4x - 4 = 16

4x = 20

x = 5