1. Given a = 18, A = 105 degrees, and B = 32 degrees, use the Law of Sines to solve for b. Round your answer to the nearest tenth, and enter the number only.

2. Given c = 20, C= 101 degrees, and b = 14, use the Laws of Sines to solve for B. Round your answer to the nearest degree.

3. Given a= 100, A= 80 degrees, and b = 61, use the Law of Sines to solve for B. Round your answer to the nearest degree.

Answer:

The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

Step-by-step explanation:

Given that,

Height = 14 m

Radius = 2 m

Let V be the volume of a right circular cone

We need to calculate the value of R

Using given data

[tex]\dfrac{h}{r}=\dfrac{h-y}{R}[/tex]

Put the value into the formula

[tex]\dfrac{14}{2}=\dfrac{14-y}{R}[/tex]

[tex]7R=14-y[/tex]

[tex]R=2-\dfrac{y}{7}[/tex]

We need to calculate the area of a horizontal cross section at a height y

Using formula of area

[tex]A=\pi R^2[/tex]

Put the value into the formula

[tex]A=\pi\times(2-\dfrac{y}{7})^2[/tex]

Hence, The area of a horizontal cross section at a height is [tex]\pi\times(2-\dfrac{y}{7})^2[/tex]

The area of the circular cone at height y can be derived as a function, A,

having y as the input variable.

Correct response:

[tex]Area \ of \ horizontal \ cross \ section \ at \ height \ y \ is \ \underline{ A = \pi \times \dfrac{\left(14 - y\right)^2}{7} }[/tex]

The given parameters are;

Shape of figure = Right circular cone

Height of the cone, h = 14

Base radius, R = 2

Required:

The area of a cross section at a height y using similar triangles

Solution:

We have using similar triangles;

[tex]\mathbf{\dfrac{h}{h - y} }= \dfrac{R}{r} [/tex]

Which gives;

[tex]\mathbf{\dfrac{14}{14 - y}} = \dfrac{2}{r} [/tex]

Therefore;

2·(14 - y) = 14·r

28 - 2·y = 14·r

[tex]r = \dfrac{28 - 2 \cdot y}{14} = 2 - \dfrac{y}{7} [/tex]

The horizontal cross sectional area, A = π × r²

Therefore;

[tex]Area \ of \ the \ cross \ sectional \ area,\ A = \pi \times \left(2 - \dfrac{y}{7} \right) = \underline{ \pi \times \dfrac{\left(14 - y \right)^2}{7} }[/tex]

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Answer: it is neither

Answer:

5 pounds 14 pence

50 -19= 31

Step-by-step explanation:

Answer:

10 units up

Step-by-step explanation:

An example of this is where the graph changes from (0,0) to (0,10)

Have an amazing day!

PLEASE RATE!!

Answer: it is -4 or c

Step-by-step explanation:

Answer:

 =34 minutes.

Step-by-step explanation:

Done according to my own understanding!

15mg - 7.25mg = 7.75mg

   7.75mg / 20min = 0.3875mg per minute

       7.25mg - 2mg = 5.25mg

             5.25mg / 0.3875mg = 13.5483871 minutes

                     13.5483871 minutes + 20 minutes = 33.5483871 minutes

                                  =34 minutes.

Answer:

[tex]=8\left(2a+9\right)[/tex]

Step-by-step explanation:

[tex]16a+72[/tex]

[tex]\mathrm{Rewrite\:}16\mathrm{\:as\:}8\cdot \:2[/tex]

[tex]\mathrm{Rewrite\:}72\mathrm{\:as\:}8\cdot \:9[/tex]

[tex]=8\cdot \:2a+8\cdot \:9[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}8[/tex]

[tex]=8\left(2a+9\right)[/tex]

Hence, the correct answer is  [tex]=8\left(2a+9\right)[/tex]

Answer:

8(2a+9)

Step-by-step explanation:

Hope this helps

Answer: dang bro i never do flvs that early in school. Sorry my guy i got no answer to that. Im quite dumb myself in math

Step-by-step explanation:

Answer:

10

Step-by-step explanation: Because 10x2=20

so in this case if they were to push the tables togther only 1 can sit at one square table if there pushed together

unless each table held 2 people like one on one side and one on the other it would be the same formula because 10 on one side of the tables and 10 on the other side would be 10x2

10+10=20 or 10x2=20

ethier one would be the same

hope this helps you!

Answer:

$2.67

Step-by-step explanation:

16 ÷ 6 = 2.66666666667

2.67 x 6 = 16.2

(well, it was close.)

Sorry if it's wrong.

Bye, have a great day.

Step-by-step explanation:

[tex]3\left(x-4+1\cdot \:b\right)=8[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]

[tex]\frac{3\left(x-4+1\cdot \:b\right)}{3}=\frac{8}{3}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4+b=\frac{8}{3}[/tex]

[tex]\mathrm{Subtract\:}b\mathrm{\:from\:both\:sides}[/tex]

[tex]x-4+b-b=\frac{8}{3}-b[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x-4=\frac{8}{3}-b[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]x-4+4=\frac{8}{3}-b+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-b+\frac{20}{3}[/tex]

[tex]\\ \rm\Rrightarrow 3(x-4+b)=8[/tex]

[tex]\\ \rm\Rrightarrow 3x-12+3b=8[/tex]

[tex]\\ \rm\Rrightarrow 3x+3b=20[/tex]

[tex]\\ \rm\Rrightarrow x+b=20/3[/tex]

[tex]\\ \rm\Rrightarrow x=20/3-b[/tex]

Answer:

Step-by-step explanation:

Given the expression 4x+2 = 8X-5. To find the value of x, we need to follow the steps;

Sep 1:

Add 5 to both using addition property to move 5 to both sides

4x+2+5= 8x-5+5

4x+7 = 8x

Step 2:

Collect like terms

4x-8x = -7

-4x = -7

Step3:

Divide both sides by -4

-4x-4 = -7/-4

x = 7/4

Answer:

Must be part of a specific member group to join . - CREDIT UNION.

Credit Unions require that you are a member of a member group to join as well as other entry requirements unlike a bank where the qualification rules are less stringent.

Profits are given to shareholders . - BANK.

A Bank is owned by its investors and shareholders so they will have to distribute profits to them unlike a Credit Union that is owned by its members.

Offer checking and savings accounts, CDs, loans . BOTH.

Both Credit Unions offer these financial products and accounts.

Deposits are insured up to $250,000  - BOTH.

Both of these types of Institutions are insured up to $250,000 by the United States Governments. Credit Unions are insured by the National Credit Union Share Insurance Fund (NCUSIF) and banks are insured by the FDIC (Federal Deposit Insurance Corporation).

Fees tend to be higher . BANKS.

Banks are for profit institutions so they will charge higher fees to make more profit for their investors.

Interest customers earn on deposits tends to be higher. - CREDIT UNIONS.

Credit Unions earn higher deposit interest for customers because they are not-for-profit so do not have to offer less rates to keep more money for their investors.

Bank, credit union, or both have been for each of the statements below:

Banks are financial institutions that have licenses to accept deposits from customers and provide loans when the conditions are met.

Credit Unions, on the other hand, are not operated for the purpose of making profits. They are formed by members who hold an agreement and their methods of operation are similar to the commercial banks.

In the given points above the similarities and differences between these two financial institutions are shown.

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Answer:

39

Step-by-step explanation:

Answer:

m=1/1 or just 1, b=(0,3.5) equation:y=x+3.5

Step-by-step explanation:

The pattern is as x increases by 1, so does y by the same amount, 1. This means the line is at a 45 degree angle increasing vertically and horizontally at the same pace. However, it is moved up 3.5 units in the y direction because when x=0, y=3.5

Answer:

72

Step-by-step explanation:

Answer:

f(-3)=6-2x is f(-3)=6-2(-3) this equals f(-3)=12

B f(0)=6

C f(4)= -2

Step-by-step explanation:

Bacisly you would just have to sub in the x portion of your problem. Then you can solve like normal

A function is a relationship between inputs where each input is related to exactly one output.

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 6 - 2x

Substitute x = -3, 0, and 4 on f(x).

f(-3) = 6 - 2 x (-3) = 6 + 6 = 12

f(0) = 6 - 2 x 0 = 6 - 0 = 6

f(4) = 6 - 2 x 4 = 6 - 8 = -2

The inputs are -3, 0, and 4.

The outputs are 12, 6, and -2.

Thus,

The value of f(-3) is 12

The value of f(0) is 6

The value of f(4) is -2

Learn more about functions here:

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Answer:

[tex]part \: a. \\ t = 300+300(13) = 300+300C = \\300 + 3,900 = 4,200 \\ t = 4,200[/tex]

[tex]part \: b. \\ 3300 = 300+300(c) \\ 3300 - 300 =300(c) \\ 3000 \div 300 = c = 10 \\ c = 10[/tex]

a.

The tuition cost for 13 credits is

= 300 + 300C

= 300 + 300 (13)

= 300 + 3900

= 4,200 dollars.

b.

And, the number of credits is

$3,300 = 300 + 300C

$3,300 - 300 = 300C

$3,000 = 300C

C = 10 credits

Therefore we can conclude that

Learn more about the credit here: brainly.com/question/1475993

Answer and explanation:

1. Cost is response variable while file size is explanatory variable. Cost is response variable here because it is the dependent variable and the other is the independently variable that affects the dependent variable cost. The scatter plot will show how much cost increase with each change in file size. Scatter plot is in positive direction and strong

2. Time of delay of thunder is response variable while distance from lightning is explanatory variable. Time of delay is dependent variable while the other is independent variable which affects it. Scatter plot shows how much delay of thunder changes with change in distance from lightning. Positive scatter plot and strong

3. Your distance from it is explanatory variable while apparent brightness is response variable. Distance from it is independently variable while the the other is dependent variable. Scatter plot shows change of brightness with each change of distance. Negative direction as distance increase results in brightness decrease. It is strong.

4. weight of car is response variable while age of owner is explanatory variable. Weight of car is dependent variable while the other is independent variable. Scatter plot shows change of weight of car with change of age of owner. Positive direction as one increases the other increases. Strong

Answer:

Step-by-step explanation:

Let length of side = x

area = x²

so x² = 225 = 15²

then x = 15 units

Answer:

Formula for area of square;

A = a^2

where a represents the length of one side of the square, so;

A = a^2

given that the total area is 225,

225 = a^2

√225

= 15

Answer:

11 and 22

Step-by-step explanation:

x + y = 33

y = 2x

x + 2x = 33

3x = 33

x = 11

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4x^2 - 16x = 0}\\\large\text{FACTOR the LEFT SIDE of the given equation.}\\\mathsf{\rightarrow 4x(x - 4) = 0}\\\large\text{After step 1 is complete, set the factors to equal to 0.}\\\mathsf{\rightarrow 4x = 0\ or\ x - 4 = 0}\\\larg\text{Lastly, you have to SIMPLIFY new equations you have now.}\\\mathsf{\rightarrow x = 0\ or\ x = 4}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 0\ or\ x = 4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

1/5(x-1)

Step-by-step explanation:

cancel x-1

then we get

1/5(x-1)

If not understand comment below.

Answer:

28

With the mean, you have to add up the scores and subtract by the total values.

The only score number I know of is 20, so I just added up the values.

Hope this helps, let me know.

Answer:

(4,5)

Step-by-step explanation:

Answer:

Whole Numbers

Step-by-step explanation:

Whole numbers is the only set of numbers in the following choices that don't include negative numbers (only positive integers and zero). Therefore, since -7 is negative, it doesn't belong to whole numbers!

Answer:

B.It is linear 180=3x2+24x+36

Step-by-step explanation: