Find b, glven that a = 20, angle A = 30°, and angle B= 45 triangle ABC.

Find B, Glven That A = 20, Angle A = 30, And Angle B= 45 Triangle ABC.

Answers

Answer 1

Answer:

b =28.28

Step-by-step explanation:

SinA/x = sinB/x

Sin30°/20=sin45°/b

Cross multiplication

20×sin45=b×sin30

20×sin45/sin30 =b

b=28.28


Related Questions

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle

Answers

C keep it up bro love you or d or b or a

5.7 times -4.2. step by step

Answers

Answer:

5.7×-1.2=-7.14

Step-by-step explanation:

+5.7(×)-1.3

+(×)- = -(it gives a negative answer)

so you multiply 5.7 and 1.3= 7.14

you just add a negative sigh to the ans

answer=-7.14

please consider a brainlest question

Which of the following points lies on the circle x2 + y2 = 400

Answers

Answer:

C is the answers for the question

Please help me with this!!! (Please no scams or fake answers)

Answers

Step-by-step explanation:

maybe if i reply I'll get points or whatever

rewrite the function in an equivalent form the would reveal the vertex of the function f(x)=x^2+8x+6

Answers

Answer:

f(x)=(x+4)-10

Step-by-step explanation:

Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.

The vertex is (-4, -10)

Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.

The equation we rewrite is f(x)=(x+4)-10

I NEED HELP PLSS I HAVE NOO TIME LEFT

Answers

Step-by-step explanation:

x/15 = y/6

x = 15y/6

x/y = 15/6 = 5/2

The product of two rational numbers is 6 If one of them is 8 find the other numbers

Answers

Answer:

3/4

Step-by-step explanation:

8x = 6

x = other number = 6/8 = 3/4

A botanist is using two types of plants for an experiment. she writes inequalities to model the constraints on the number of each type of plant she can use. she uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. if that vertex is (5, 39), what do the coordinates represent? buying five of one type of plant and 39 of the other type of plant results in the lowest cost. buying five of each type of plant costs $39, which is the lowest possible cost. the lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought. the lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.

Answers

The coordinates represent the numbers of plants of each type she can use and minimize the cost

Let x be the number of plants of one type.

y be the number of plants of the other type.

What is the meaning of the vertex of the feasible region?

The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.

We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).

That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.

Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.

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Answer:

Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.

Step-by-step explanation:

Sarah deposited $920 into a savings account 6 years ago. The account earns 7 --% interest, compounded annually. How much 3 interest has she earned? Answer in dollars and round to the nearest cent.​

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$920\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &6 \end{cases}[/tex]

[tex]A=920\left(1+\frac{0.07}{1}\right)^{1\cdot 6}\implies A\approx 1380.67~\hfill \underset{earned~interest}{\stackrel{1380~~ - ~~920}{\approx 460.67}}[/tex]

7) It Snowed 55" this winter. Last winter it snowed 60". What is the approximate percent declir
in snowfall this winter?
a. 8%
b. 9%
C. 10%
d. 11%

Answers

Let's see

[tex]\\ \rm\dashrightarrow \dfrac{60-55}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{5}{60}\times 100[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{50}{6}[/tex]

[tex]\\ \rm\dashrightarrow 8.3\%[/tex]

An expression is shown in the photo, which statement is true about the expression? Options are in the photo.

Answers

Answer:

It is irrational and equal to 4square root 2

Find two irrational numbers between 5 9 and 16 5

Answers

Answer:

Step-by-step explanation:

I am assumimg you mean 5/9 and 16/5.

2 irrational numbers between these values are e and π.

Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Given that;

Two rational numbers are,

⇒ 5 / 9 and 16 / 5

Now, We get;

⇒ 5 / 9 = 0.5555

⇒ 16 / 5 = 3.2

Hence, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

Thus, Two irrational numbers between 5 / 9 and 16 / 5 are,

⇒ 0.56674549....

⇒ 0.588454755....

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Delta math: Angle Terminology with Equations

Answers

Answer:

m∠A = 139°

Step-by-step explanation:

First we must know that

Supplementary angles equal to 180 degree.

Since we know that supplementary angles equal to 180 degree we can solve now:

Putting m ∠A and m ∠ B together and put the = 180

( 7x - 15 ) + ( 2x - 3 ) = 180

Now solving for x:

( 7x - 15 ) + ( 2x - 3 ) = 180

9x - 18 = 180

9x - 18 + 18 = 180 + 18

9x  = 198

9x/9 = 198/9

x = 22

Hence,  Angle A will have a measure of 7x - 15 which means  7 ×  22 -15 = 154 - 15 = 139°

m∠A = 139°

The measure of Angle B will be 2x - 3 = 2 • 22 - 3 = 44 - 3 = 41°

m∠ B = 41°

139 + 31= 180

[RevyBreeze]

Supplementary angles have sum 180°

7x-15+2x-3=1809x-18=1809x=198x=198/9x=22

m<A

7(22)-15=154-15139

Two similar solids have a surface areas of 48ft^2 and 147ft^2 respectively. If the volume of the smaller solids is 320ft^3, what is the volume of the larger solid?

Answers

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.  If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.

What is a triangle?

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.

If the volume of the smaller solids is 320ft^3.

Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.

Thus, k2 = 147 / 48 , or k = 49/16 = 7/4

The ratio of the volumes of the solids is equal to k3, which gives:

V / 320 = (7/4)^3

where V is the volume of the larger solid.

V = 320 x  (7/4)^3

= 1715 cubics in

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A country pledges to reduce its annual CO2
emissions by 5% per year. If the emissions in
2022 are 6,080 Mt (metric megatons), what are
the maximum allowable emissions in the year
2029?

Answers

A country pledges to reduce its annual  CO₂ emissions by 5% per year, the maximum allowable emissions in the year 2029 is,  4245.89 Mt

What is the percentage?

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

A country pledges to reduce its annual CO₂ emissions by 5% per year

The emissions in 2022 are 6,080 Mt

The maximum allowable emissions in the year 2029 = ?

In 2022   CO₂ emission  = 6,080 Mt

5% reduces next year

So, In 2023

CO₂ emission  =  6080(1 - 0.05)

In 2024

CO₂ emission  =  6080(1 - 0.05)(1 - 0.05)

So after 7 years in 2029

CO₂ emission  =  6080(1 - 0.05)⁷

                        =  4245.89

Hence, the maximum permissible emission is  4245.89 Mt

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This triangular prism is 22 inches tall and has a base with an area of 60 square inches. What is the volume of the prism?
ANSWER CHOICES:
1320 cubic inches
82 cubic inches
660 cubic inches
729,000 cubic inches
ANSWER QUICKLY

Answers

Answer:

A 1320

Step-by-step explanation:

22 x 60

1320

Spongebob and Patrick are selling kelp fries to fundraise for new jellyfishing nets. They sold
small and large sizes. Spongebob sold 3 small fries and 14 large fries for a total of $203.
Patrick sold 11 small fries and 11 large fries for a total of $220. Find the cost of each size of
fries.
a

Answers

Answer:

So, cost of small size is $7 and cost of large size is $13.

Step-by-step explanation:

Let cost of each small size - x, cost of each large size - y

By the question,

3x + 14y = 203

11x + 11y = 220

From the first equation, we get,

3x + 14y = 203

or, 3x = 203 - 14y

so, x = (203 - 14y)/3

Substituting x's value in second equation :-

11x + 11y = 220

or, 11 { (203 - 14y)/3 } + 11y = 220

or, {2233 - 154y}/3 + 11y = 220

or, { 2233 -154y + 33y} = 660

or, 2233 - 121y = 660

or, 121y = 2233 - 660

or, 121y = 1573

so, y = 1573/121

so, y = 13

Now,

As we know,

x = (203 - 14y)/3

or, x = ( 203 - 14 × 13)/3

or, x = (203 - 182)/3

so, x = 21/3

so, x = 7

So, cost of small size is $7 and cost of large size is $13.

Please, Please, Please Help MEE!! ASAP!

Answers

1a. 35

b. 17.5

c. 3.5d

2. $4.5

Could I get some help on this?

Answers

Answer:

200.5ft²

Step-by-step explanation:

According to my calculation this is the answer ..

Elimination was used to solve a system of equations.
One of the intermediate steps led to the equation 2x = 8.
Which of the following systems could have led to this equation?
3x - y = 15
x + y = 7
x + 3y = 24
- x - 3y = 16
4x + 2y = 14
x + y = 3
2x+2y = 8
- 2x - 2y=8

Answers

Answer:

  (c)  4x + 2y = 14; x + y = 3

Step-by-step explanation:

The given equation will be the result of eliminating the y-variable from the system. When we do that for the different answer choices, we get ...

a

Add the two equations: (3x -y) +(x +y) = (15) +(7)  ⇒  4x = 22

b

Add the two equations: (x +3y) +(-x -3y) = (24) +(16)  ⇒  0 = 40

c

Subtract twice the second from the first.

  (4x +2y) -2(x +y) = (14) -2(3)  ⇒  2x = 8 . . . . the system we're looking for

d

Add the two equations: (2x +2y) +(-2x -2y) = (8) +(8)  ⇒  0 = 16

_____

Additional comment

When the equation reduces to 0 = constant, and "constant" is not zero, it means the system of equations has no solution. (The equations describe parallel lines.)

By definition, theoretical probability is equal to:

A.

No. Of favorable outcomes

Total no. Of possible outcomes

B.

No. Of total outcomes

Total no. Of impossible outcomes

No. Of total outcomes

C.

Total no. Of possible outcomes

D.

No. Of possible outcomes

Total no. Of favorable outcomes

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The Correct choice is A

Theoretical probability is defined as number of favorable outcomes out of Total possible outcomes.

That is :

[tex]\qquad \tt \dashrightarrow \: \dfrac{ \texttt{No. of favorable outcomes}}{ \texttt{Total number of possible outcomes}}[/tex]

By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

To find the definition of Theoretical probability.

Now, We know that;

Theoretical probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes.

Hence, By definition, Theoretical probability is equal to,

⇒ Number of favorable outcomes / Total no. of possible outcomes.

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PLEASE HELP !!! FIND THE SLOPE OF THE LINE

Answers

Answer:

Slope=1

Solution:There are several ways to find the slope. Here's one of them:Pick two points on the line, plug them into the slope formula and simplify.I chose the following points: (-1, 0) and (0, 1)Plug them into the formula:[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex][tex]\displaystyle\frac{1-0}{0-(-1)} =\frac{1}{0+1} =\frac{1}{1}=1[/tex]

Hope it helps.

Do comment if you have any query.

Answer: Slope=1

Step-by-step explanation:

Jason has two bags with 6 tiles each. The tiles in each bag are shown below:

Six squares are numbered sequentially from 1 to 6.

Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing an even tile from the first bag and an even tile from the second bag?

6 over 12
9 over 12
6 over 36
9 over 36

Answers

Answer:

9/36

Step-by-step explanation:

Given :1,2,3,4,5,6

first draw even probability 3/6=1/2

second draw even probability 3/6=1/2

1/2x1/2 or 3/6 x3/6= 1/4 or 9/36

Thank you for answering this question.

Answers

Note the rules

a^m×a^n=a^m+n(a^m)^n=a^mn

[tex]\\ \rm\Rrightarrow \dfrac{7^{12}7^9}{(7^6)^3}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{7^{21}}{7^{18}}[/tex]

[tex]\\ \rm\Rrightarrow 7^3[/tex]

[tex]\\ \rm\Rrightarrow 729[/tex]

HELP ILL GIVE BRAINLIEST

Line A has a slope of 6. Line B has a slope of -1/6. Are these lines perpendicular?

Answers

Answer:

Yes

Step-by-step explanation

Lines are perpendicular when they have the reprocial slope with the opposite sign.

Yes, the lines having slopes 6 and -1/6 are perpendicular.

What is slope?

The slope of a line is a number that describes  the direction  of the line. The formula of calculating slope is calculated as under:

Slope=[tex](y_{2} -y_{1} )/(x_{2} -x_{1} )[/tex].

How to identify perpendicular lines?

We have been given that the slope of line A is 6 and slope of line B is -1/6.

Two lines are seem to be perpendicular to each other if the product of their slopes is equal to -1.

Product=slope of line A * Slope of line B

=6*(-1/6)

=-6/6

=-1

Hence the lines having slopes 6 and -1/6 are perpendicular to each other.

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is 2/100the fractional form of 0.02??

Answers

Answer:

Yes it is

Step-by-step explanation:

2/100 = 0.02

You have to move two spaces to the left of 2, as 100 contains two zeroes (u must start counting from 2 and put zeroes along, until u finish counting)

after u finish counting put a 0. in the left of of all the zeroes and the 2

The table below shows the cost of a monthly gym membership.

Which equation would you use to find the total cost,
T, of the gym membership for m months?
1. T=30m+25
2. T=15m
3. T=30m+15
4. T=45m

Answers

Answer: $15+( 30×the number of months)

The third answer iis right.

Step-by-step explanation: First month you pay 15 And you top up with 30 every month

Answer:

3

Step-by-step explanation

bc you need to look at one month and its 45 each month its 30 + 15

A dime has a radius of 8.5 millimeters. Find the circumference of a dime to the nearest tenrh

Answers

The answer is 53.428…. Because you want to round it to the nearest tenth, the final answer will be 53.4 millimeters.

Nicole bought a meal in a town that has no sales tax. She tips 20%. Select all meals Nicole could buy with less than $16 total.


A-$12. 36

B-$12. 50

C-$13. 00

D- $14. 79

E- $14. 99

Answers

Answer:

I'm missing some information... but I'll answer the question regardless

x=the cost of the meal

1.2x≤$15

divide both sides by 1.2

x≤$12.5

In short, this means that Nicole can buy anything that costs $12.50 or less.

A used car lot sold 12 minivans last month, along with 54 other vehicles. Considering this data, how many of the next 77 vehicles sold should you expect to be minivans?

47 points and brainiest to the answer!

Answers

Total cars 12+54 = 66
Find percentage of minivans.
12/66 = 0.1818 or ~18%

~18% of 77
77* 0.1818 = 13.999 ~ 14 rounded
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