In the above figure, m∠A = 26° and m∠B = (2x + 16)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
A. x = 24, m∠B = 64°
B. x = 50, m∠B = 64°
C. x = 69, m∠B = 154°
D. x = 24, m∠B = 48°

Explanation:

To start off, we'll need the volume of the fish tank.

Volume of a rectangular block = (length)*(width)*(height)

V = L*W*H

V = 48*30*30

V = 43,200

The volume of the tank is 43,200 cubic cm.

Divide this over the flow rate of 7200 cubic cm per minute to get

(43,200)/(7200) = 6

It will take Emily 6 minutes to completely fill the tank.

Answer:

x> 2

Step-by-step explanation:

Multiply by 6

2x6=12

5x+2>12

Move the 2 and make it subtraction

5x>12-2

Subtract 12-2=10

5x>10 divide by 5

X>2

Answer:

Infinitely many

Step-by-step explanation:

Same slope, DIfferent Y-intercept

Answer:

43 students and 11 chaperones

Step-by-step explanation:

Let a = number of chaperones or adults

Let s = number of students

1) We could set up two equations and solve them simultaneously using the substitution or the elimination method.

s + a = 54

8a + 6.50s = 367.50

I choose the substitution method.

2) Solve for s or y. I choose s.

a = 54 - s

8(54 - s) + 6.50s = 367.50

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

432 - 8s + 6.50s = 367.50

432 - 1.50s = 367.50

-1.50s = 367.50 - 432

-1.50s = -64.50

s = [tex]\frac{-64.50}{-1.50}[/tex]

s = 43

3) Substitute the result into one of the two equations above. I choose the first one.

43 + a = 54

a = 54 - 43

a = 11

Answer:

1001

Step-by-step explanation:

Answer: u<6

Step-by-step explanation:

Isolate u by dividing both sides of the inequality by 7

[tex]\frac{7u}{7} < \frac{42}{7} \\u < 6[/tex]

u<6

Hope it helps.

Do comment if you have any query.

Answer: [tex]x=n\pi , \frac{3\pi }{4} +n\pi[/tex]

Step-by-step explanation:

Since we have a product here, either term can be zero. We can individually set each term equal to zero:

[tex]tan(x)=0[/tex]

[tex]tan(x)+1=0[/tex]

Beginning with the first term. It is saying "tangent of what gives zero". Well, tangent of zero gives zero. The value pi also gives zero:

[tex]tan(0)=0[/tex]

[tex]tan(\pi )=0[/tex]

We can generalize this by saying 'x' is equal to pi multiplied by an integer 'n', where 'n' is 0, 1, 2, 3...

[tex]x=n\pi[/tex]

Moving on to the second term, lets subtract that 1 to the other side to get:

[tex]tan(x)=-1[/tex]

Tangent of what gives -1? That would be 3pi/4. Tangent is the ratio of sine and cosine. So, you can essentially think of tangent as the slope of the line on a unit circle. Refer to the figure below. Another location along the unit circle where we get -1 is at 7pi/4, which is just 3pi/4 shifted by 180 degrees. Therefore, we can generalize this solution by adding 'npi' to 3pi/4 to get:

[tex]x=3\pi /4+n\pi[/tex]

where 'n' is 0, 1, 2, 3...

Answer:

9 5/6

Step-by-step explanation:

6 1/2 + 3 1/3

= (6 + 3) + (1/2 + 1/3)

= 9 + 1 * 3/ 2 * 3 + 1 * 2/ 3*2

= 9 + 3/6 + 2/6

= 9 + 3+2/6

= 9 + 5/6

= 9 5/6

Hey there!

6 1/12 + 3 1/3

= 73/12 + 10/3

= 73/12 + 40/12

= 73 + 40 / 12 + 0

= 113 / 12

= 9 5/12

Therefore, your answer is:

• 113/12

OR
• 9 5/12

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Zero Slope

Step-by-step explanation:

A Negative Slope is going down on the graph and it is negative M (y=mx+b)

A Positive Slope has is going up on the Graph and it is a positive M (y=mx+b)

(Imagine a Mountain)

Zero Slope is where there is only one y value and infinite x values

Undefined is where there is one x value and infinite y values

Answer:

its 60

Step-by-step explanation:

because 10 time 6 equals 60

Answer:

1) 287.97; 2) 75.396 [in³].

Step-by-step explanation:

1) the rule:

V=1/3 *πhr²;

2) according to the formula above:

V₁=1/3 *3.1415*11*5²=287.97 [in³];

V₂=1/3 *3.1415*8*3²=75.396 [in³].

Answer: 162

Step-by-step explanation:

Using linear function concepts, it is found that:

a) The function is y = 88 - 6x.

b) The tank has been draining it for 9 minutes.

A linear function is modeled by:

y = mx + b

In which:

Item a:

Thus, the equation is given by:

y = 88 - 6x.

Item b:

This is x for which y = 34, hence:

y = 88 - 6x

34 = 88 - 6x

6x = 54

x = 9.

The tank has been draining it for 9 minutes.

More can be learned about linear function concepts at https://brainly.com/question/24808124

The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.

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

Let y represent the amount of water after x minutes.

The Rock has an 88-gallon fish tank which can be drained at a rate of 6 gallons per minute. Hence:

m = -6, b = 88

y = -6x + 88

For 34 gallons:

34 = -6x + 88

x = 9

The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.

Find out more on equation at: https://brainly.com/question/2972832

So

Torque

[tex]\\ \rm\Rrightarrow \tau=3(16)[/tex]

[tex]\\ \rm\Rrightarrow \tau=48lbs\:ft[/tex]

Answer:

-8√(6n).

Step-by-step explanation:

-√(8n) * 2√12

= -√4*√(2n) * 2√4√3

= -2√(2n)*4√3

= -8√(6n)

The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.

An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.

In Roth IRA, taxes are being paid while the individual is still working.

In traditional IR, taxes are being paid after retirement.

Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.

Learn more about tax here:

https://brainly.com/question/25783927

The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.

It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.

In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.

Therefore, the correct option is D.

Learn more about IRA on:

https://brainly.com/question/27445373

Answer: f(x) is positive for all x<10

Proof of validity is shown below.

Answer:

8.3y

Step-by-step explanation:

-2.2y - 3.4y -1(-5.7y) + 8.2y

Apply rule -(-a) = a:

⇒ -2.2y - 3.4y + 5.7y + 8.2y

Factor out common term y:

⇒ y(-2.2 - 3.4 + 5.7 + 8.2)

Carry out operations in the parentheses:

⇒ y(8.3)

Write in standard form:

⇒ 8.3y

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.




-HEAVEN

Answer:

119

Step-by-step explanation:

23 plus 64 plus 32

I think I just did this question

Answer:

$170

Step-by-step explanation:

since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.

Step-by-step explanation:

solution is attached

Answer:

the equation is 40/1 = 110/x hours

Step-by-step explanation:

It would take (2 hours and 45 min) for the train to travel this far

Answer:   [tex]\frac{5}{6}[/tex] of a yard

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

Explanation:

The longest is [tex]\frac{6}{6}[/tex] yard and the shortest is [tex]\frac{1}{6}[/tex] of a yard.

This is because 6 is the largest numerator and 1 is the smallest numerator.

Subtract the two fractions:

[tex]\frac{6}{6} - \frac{1}{6} = \frac{6-1}{6} = \frac{5}{6}[/tex]

We subtract the numerators while the denominator stays the same at 6 the entire time.

This is the difference between the longest and shortest ribbon, and the unit is in yards.

Answer:

Step-by-step explanation:

Answer= (2,6)

">" means greater than..

y-x >-3 so in this case you would plug in y= 6, and x=2

6-2=4 and 4 is greater than -3. :)

The other answers give negative numbers of -3, and -4 which aren't greater than -3.

Answer:

(x+6)^2+(y-5)^2 = 3.1622^2

Step-by-step explanation:

The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2

So, we already can find this portion of the equation knowing the center of the circle:

(x+6)^2+(y-5)^2= r^2

Next, we find the distance between the two given points to find the radius.

6-5 = 1

-3--6 = 3

1^2+3^2 = c^2

1+9= c^2

10=c^2

3.1622...

So, now we know the full equation.

(x+6)^2+(y-5)^2 = 3.1622^2

Answer: 1 3/12

Step-by-step explanation: You can multiple straight accross and

5 is equivelant to 5/1 so we would do

5/1 * 3/12 = 15/12 which can get simplified into 1 3/12

Hopt this helps :D

Answer:

y = 2x

3

Step-by-step explanation:

From the graph, y=4 when x= 6

And

y= -4 when x= -6

So, we can deduce the relationship between x and y.