Find mZABD.
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20°
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mZABD

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

Answer:

A = 80   S =70

Step-by-step explanation:

#Adults tickets = A

#Students tickets = S

A + S = 150

5A (means the price is $5 times the number of Adult tickets) equals the total amount for all of the Adult tickets altogether

3S (means the price is $3 times the number of Student tickets) equals the total amount for all of the students tickets altogether

5A + 3S = 610    (Means adding the total of all the student tickets plus adult tickets will equal $610 for all tickets sold)

Using both equations now, you can use substitution or elimination to solve for one of the variables. Then you can use the variable to substitute to solve the remaining one.

A + S = 150

5A + 3S = 610

Substitution:

A = 150 - S  (Rearrange the first equation by moving S to the other side)

Substitute into the other equation

5 (150 - S) + 3S = 610

750 - 5S + 3S = 610      Combine like terms :    -2S = -140

Solve for S = 70

Substitute into A + S = 150        A + (70) = 150

A = 80

Answer:

[tex]f(-1)=0[/tex]

Step-by-step explanation:

[tex]f(a)=2a-2\\\\f(-1)=2(-1)-2\\\\f(-1)=-2+2\\\\f(-1)=0[/tex]

Answer:

x=-2

Step-by-step explanation:

Answer:

x = - 2

Step-by-step explanation:

5x + 16 = - 3x ( add 3x to both sides )

8x + 16 = 0 ( subtract 16 from both sides )

8x = - 16 ( divide both sides by 8 )

x = - 2

Answer:

hijjjhhhhghhhhhhjjiuuuu

Answer:

lol. :-):-):-):-):-):-) ^_^

Answer:

9.046 * 10^7

Step-by-step explanation:

90460000

We need one non-zero digit to the left of the decimal

9.0460000

We moved the decimal 7 places to the left so the exponent is 7

9.046 * 10^7

Answer:

9.046 × 10^7

Step-by-step explanation:

Move the decimal 7 times to the left. You come up with 9.046

Hope this helps :)

Answer:

since i was helpfull i would like to answer another question fish swim in water

Step-by-step explanation:

Lets convert each sentence into an algebric inequality.

[tex] = > - 3 \times x = - 3x[/tex]

[tex] = > - 3x \geqslant - 24[/tex]

Lets solve the inequality.

Now , divide -3 on both the sides -

[tex] = > \frac{ - 3x}{-3} \geqslant \frac{ - 24}{ - 3} [/tex]

[tex] = > x \geqslant 8[/tex]

Answer:

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

Step-by-step explanation:

f(x)=[tex]x^{2}[/tex] may have its domain restricted [0,∞)

under this restriction, f is one-to-one.

Answer is

n=3.207534,−3.207534

Step-by-step explanation: looked it up lol.

Answer:

Rewrite the equation as

n6 =

33

2

.

n

6

=

33

2

Take the 6th root of both sides of the equation to eliminate the exponent on the left side.

n

=

±

6

√

33

2

Simplify the right side of the equation.

Tap for more steps...

n

=

±

3

√

33

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

n = 3√33,−3√33

The result can be shown in multiple forms.

Exact Form:

n = 3√33,−3√33

Decimal Form:

n = 3.20753432,−3.20753432

Step-by-step explanation:

Answer:

Red line is y=0.8x

Blue line is y=0.8x-3.2

Step-by-step explanation:

Answer:

21 sections

Step-by-step explanation:

the wood is 21 feet long therefore there can be 21 sections of 1ft long wood

Answer:

Step-by-step explanation:

what’s the answer?

Answer:

# 1, 4, & 6

Step-by-step explanation:

you can confirm by checking each number of smiles, boxes, and triangle. because #1 there are 2 triangles and 4 squares. #4 for every triangle there are two squares (4 squares and 2 triangles "split them in half") #6 same thing as #4

Answer:  15x + 25y = 4500

Step-by-step explanation:

The cost per general admission tickets is $15  and if x is used to represent the number of general admission tickets then 15 has to be multiplied by  x  and that gives the expression   15x  

The same with the VIP tickets, each one cost $25 and y is used to represent the number of VIP tickets sold, so if you want to find out how much a number of VIP tickets cost then you will have to multiply 25 by y  and that derives the expression  25y.

A combination of both tickets has to equal $4500 because that is amount they were both sold to get in total.

15x + 25y = 4500

Answer:

No

Step-by-step explanation:

See take 0.2 for example

In fraction it is 2/100 which can be easily reduced and should be reduced depending on the type of question.

1/50 would be the answer for my example.

Answer:

4y

Step-by-step explanation:

When you subtract an already negative number then the two "minus signs" will become one addition sign and it just becomes y + 3y which is 4y

(Just for example: x- (-8x) would turn into x + 8x and the answer would be 9x)

Answer:

...........................................................

Step-by-step explanation:

Answer:

I would go for the last one

RST reflection across the y-axis will make it 2 units above UVW and so you go down 2 units

9514 1404 393

Answer:

Step-by-step explanation:

The higher-cost item is forks, so we can let x represent the number of those that are purchased. The total number purchased is 7, so the number of spoons purchased is (7-x).

The total cost is the sum of the costs for each of the items:

  6x +5(7-x) = 40

  x +35 = 40 . . . . . . simplify

  x = 5 . . . . . . . . . . . subtract 35; the number of forks

  7-x = 2 . . . . . . . . . the number of spoons

Daniel bought 5 forks and 2 spoons.

_____

Additional comment

Since $40 is not divisible by $6, we can guess that the number of forks Daniel bought will be a multiple of 5. That is, Daniel bought 0 or 5 forks. If he bought 0 forks, then he must have bought 40/5 = 8 spoons, so that is not a viable choice. The only number of forks that makes sense in this problem is 5 forks, so 2 spoons--numbers that total 7, as required.

Answer:

DEW

Step-by-step explanation:

Answer:

Carmen needs more than 5 hours to meet her goal.

Step-by-step explanation:

to make a valid interpretation of Carmen's situation, solve the given inequality for t.

Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.

So, Carmen needs more than 5 hours to meet her goal.

Answer:

[tex] \frac{1}{8xy \sqrt{y} } [/tex]

Step-by-step explanation:

[tex](64 {x}^{2} {y}^{3} )^{ - \frac{ 1 }{2} } \\ \\ = \frac{1}{(64 {x}^{2} {y}^{3} )^{\frac{ 1 }{2} } } \\ \\ = \frac{1}{ \sqrt{64 {x}^{2} {y}^{3}} } \\ \\ = \frac{1}{ \sqrt{ {(8xy)}^{2} y} } \\ \\ = \frac{1}{8xy \sqrt{y} } [/tex]

Answer:

2/3

Step-by-step explanation:

Answer:

adult-5 student-5

Step-by-step explanation: 98 divided by 18= 5. 5 times 14 = 70. 5 times 3= 15. 70+15=98.

Answer:

adult ticket:4

child ticket:14

Step-by-step explanation:

(98-18*3)/(14-3)=4

18-4=14

Answer:

a. Line BC and Line GH

b. Line AC and line AJ

c. No, because if they were perpendicular, they would intersect at a 90 degree angle.

Step-by-step explanation:

a. Whenever two lines share identical little triangle marks - such as line BC and line GH in this case - it indicates that those lines are parallel.  

b. The little red square at the intersection of line AC and line AJ indicates a 90 degree angle. Whenever two lines intersect at a 90 degree angle, it means they are perpendicular. So, Line AC and line AJ would be perpendicular.

c. The upside down T symbol means "perpendicular," so the question is asking if line BC and line AJ are perpendicular. However, they cannot be since there is no indication on the diagram that they do - no symbols of 90 degree angles - that we can use to prove that they are perpendicular.