What is the value of b in this diagam?

What Is The Value Of B In This Diagam?

Answers

Answer 1

Answer:

b = 8

Step-by-step explanation:

Given  : A triangle with side a= 12 , b = 6.33 and angles.

To find : What is the value of b in this diagam.

Solution : We have given that side a= 12 , b = 6.33

Angle A = 113.17

Angle B = 37.81 .

By the sin law: [tex]\frac{b}{sin B} =\frac{a}{sin A}[/tex].

[tex]\frac{b}{sin( 37.81)} =\frac{12}{sin( 113.17)}[/tex].

[tex]\frac{b}{0.613} =\frac{12}{0.919}[/tex].

On cross multiplication

b * 0.919 = 12 * 0.613 .

b * 0.919 = 7 .356

On dividing by 0.919

b = 8.004

Therefore, b = 8.

Answer 2

Answer:

B=8

Step-by-step explanation:


Related Questions

The beverage orders from school cafeteria are shown in the graph. If 760 students purchase a beveragehow many of the students chose water

Answers

according to the graph, 25% chose water, and

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190[/tex]

if 3x-4=8 what is the value of x

Answers

Answer:

x=4

Step-by-step explanation:

3x-4=8

3x=8+4

3x=12

3x/3=12/3

x=4

The value of x for the given equation 3x - 4 = 8 will be 4.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - 4 = 8

3x = 8 + 4

3x = 12

x = 4

Hence "The value of x for the given equation 3x - 4 = 8 will be 4".

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If you started with y = x + 3, how many units would you shift DOWN to get to y = x-2? Hint- count down from y-intercept to the other. OR find the difference between the y-intercepts 3 – (-2) = 5

Answers

Answer: You would shift "y=x+3" 5 units down to get "y=x-2".

Step-by-step explanation:

Subtract 3 by 5 and you will get -2.

Hope this helps.

which expression is equivalent to (4 sqrt of 6)/(cube root of 2)?
a - (12 sqrt of 27)/2
b - (4 sqrt of 24)/2
c- (12 sqrt of 55296)/2
(12 sqrt of 177147)/3

Answers

For this case we must find an expression equivalent to:

[tex]\frac{4\sqrt{6}}{\sqrt[3]{2}}[/tex]

We multiply by:

[tex](\frac{(\sqrt[3]{2})^2}{(\sqrt[3]{2})^2})\\\frac{4\sqrt{6}}{\sqrt[3]{2}}*(\frac{(\sqrt[3]{2})^2}{(\sqrt[3]{2})^2})=[/tex]

By definition of multiplication of powers of the same base we have:

[tex]a^n*a^m=a^{m+n}\\\frac{4\sqrt{6}*(\sqrt[3]{2})^2}{(\sqrt[3]{2})^3}=\\\frac{4\sqrt{6}*(\sqrt[3]{2})^2}{2}=[/tex]

Move the exponent within the radical:

[tex]\frac{4\sqrt{6}*\sqrt[3]{2^2}}{2}=\\\frac{4\sqrt{6}*\sqrt[3]{4}}{2}=[/tex]

We rewrite:

[tex]4^{\frac{1}{3}}=4^{\frac{2}{6}}=\sqrt[6]{4^2}\\6^{\frac{1}{2}}=6^{\frac{3}{6}}=\sqrt[6]{6^3}[/tex]

Rewriting the expression:

[tex]\frac{4\sqrt[6]{4^2}\sqrt[6]{6^3}}{2}=\\\frac{4\sqrt[6]{16*216}}{2}=\\\frac{4\sqrt[6]{3456}}{2}=\\\frac{4\sqrt[6]{2^6*54}}{2}=\\\frac{8\sqrt[6]{54}}{2}=\\4\sqrt[6]{54}[/tex]

Answer:

[tex]4\sqrt[6]{54}[/tex]

Answer:

A!!!!

12^sqrt 27/ 2

Step-by-step explanation:

Help meeeeeeeeeeeeew

Answers

Do you need help on the Vertical Angles?

Editor needs six cookies and 2 brownies for every 4 plates he makes for a bake sale cookies and brownies into the box to show how many editor needs for ten plates

Answers

Answer: 15 cookies and 5 brownies will be required.

Step-by-step explanation:

Given in the question is Eder needs 6 cookies and 2 brownies for 4 plates.

We have to calculate the cookies and brownies required for 10 plates.

Let's first calculate the cookies by unitary method.

⇒ 4 plates required cookies = 6 cookies

⇒  1 plate will require cookies = 6/4

⇒ 10 plates will require cookies = 6×10/4 = 15

Similarly we will calculate the brownies.

⇒ 4 plates required number of brownies = 2

⇒1 plate will require = 2/4 brownies

⇒10 plates will require = 2×10/4 = 5 brownies

⇒Therefore 15 cookies and 5 brownies will be required for 10 plates.

* Hopefully this helps:)

~ 234483279c20~

Final answer:

For 4 plates, an editor needs 1.5 cookies and 0.5 brownies. Thus, for ten plates, they will require 15 cookies and 5 brownies.

Explanation:

Let's start by determining the amount of cookies and brownies the editor needs for 4 plates. As per the given information, the editor needs 6 cookies and 2 brownies for every 4 plates. Therefore, for each plate, the editor will need to have 1.5 cookies (6/4 = 1.5) and 0.5 brownies (2/4 = 0.5).

Now, let's compute how much this would translate to if we have ten plates. Using the ratio we determined earlier, for ten plates the editor would need:

15 Cookies (1.5 cookies per plate * 10 plates)5 Brownies (0.5 brownies per plate * 10 plates)

This is the simplest way to figure out how many cookies and brownies are needed for a given number of plates, provided you know how much is needed per plate.

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in a standard deck of cards, there are 4 aces out of the 52 cards. What is the probability of being dealt 4 aces from a deck of cards if the first cards drawn are not replaced in the deck?

Answers

There is approximately a 0.000004% chance you'll get 4 aces. (1/270725)

Hope this helps!

Which of the following best represents Pon the
2-10
NEXT QUESTION​

Answers

Answer:

[tex]2*10^{-1}[/tex]

Step-by-step explanation:

From 0 to 1, there are 5 units, so each of the lines are 1/5.

Hence, it is  0, 1/5, 2/5, 3/5, 4/5, 1

The point P is the first line, so that is 1/5, or in decimal, 0.2

Now we check all the options:

First Choice:  2 ^ -1 = 1/2^1 = 1/2  NO

Second Choice:  2 ^ 0 = 1  (anything to the power 0 is 1)  (NO)

Third Choice:  2 ^ 1 = 2 (NO)

Fourth Choice:  2 * 10 ^ -1 = 2 * 1/10 = 1/5 or 0.2 (RIGHT)

So, last choice is correct.

would 20, 40, 30 form a right angle​

Answers

Yes because if you add forty and thirty that equals seventy plus twenty is 90 which is a right angle

Answer:

No

Step-by-step explanation:

It would not form a right triangle because if you square 20, 30, 40, and add 20^2 and 30^2 it would become 1,300, but 40^2 is 1,600 which does not make it a right triangle according to the Pythagorean Theorem.

how to find the missing dimension of a triangular prism ​

Answers

The missing dimension of a triangular prism ​is found with the help of the formula for the volume of the prism.

What is the definition of a triangular prism?

Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.

The volume of the prism will be;

[tex]\rm V=\frac{1}{2} \times b \times h\times L[/tex]

Where,

b is the triangle's base length

h is the triangle's height

L is the length is the prism length

Hence, the formula for the prism's volume is used to get the missing dimension of a triangular prism.

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a solid has 4 faces and 8 edges. how many vertices are there?

Answers

Answer:

there would be 4 vertices

Step-by-step explanation:

Identify the length of line BA.


A) 12.6
B) 5.6
C) 22.4
D) 8.8

Answers

Answer:

B). 5.6

Step-by-step explanation:

3.2/x = 4/7

Then, cross-multiply

4x = (3.2) 7

4x = 22.4

x = 5.6

Marco took out an unsubsidized student loan for $20,000 which he will start paying in four years after he graduates if the interest rate is 4.2% what is the amount he will or once he graduates

Answers

Answer:

I'm going to assume that this is compound interest, as simple interest in this case would not make sense.

Let A be the final amount ( in this case, after 4 years). A = 20,000(1+0.042/12)^12*4. In this formula, I am assuming that the interest compounds 12 times a year, or every month. I am also assuming that he pays it off once he hits the 4-year mark.

If the assumptions are correct, he would be paying $23651.79 at the 4-year mark.

Step-by-step explanation:

Final answer:

Marco will owe approximately $23,521.93 on his unsubsidized student loan after graduation, calculated using the future value formula for a loan with compounded interest.

Explanation:

To calculate the amount Marco will owe after he graduates, we need to apply the formula for the future value of a loan when interest is compounded annually and no payments are made until after a certain period. Since Marco's unsubsidized student loan does not require payments while he is in school, the interest will be capitalized and added to the principal amount of the loan.

The formula for future value FV of a present value PV after n periods at an interest rate r is:

FV = PV * (1 + r)ⁿ

Where:

PV is the initial loan amount ($20,000)

r is the annual interest rate (4.2% or 0.042 as a decimal)

n is the number of periods (years in this case) before he starts repaying the loan (4 years)

Using the formula, we get:

FV = $20,000 * (1 + 0.042)⁴

FV = $20,000 * (1.042)⁴

F = $20,000 * 1.1760965435

FV = $23,521.93

Thus, Marco will owe approximately $23,521.93 once he graduates, before he starts making any payments on the loan.

Please help!! Free brainliest!!

Answers

Answer:

The ending bank balance would be $260.89

Step-by-step explanation:

210.84 - 40.00

170.84

170.84 + 90.05

260.89

Answer:

The ending bank balance would be $260.89

Step-by-step explanation:

210.84 - 40.00  

170.84  

170.84 + 90.05

260.89

Step-by-step explanation:

Fatima evaluated the expression 4m n-2 need help plzzz

Answers

Answer:

She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2

Step-by-step explanation:

we have the expression

[tex]\frac{4m^{-3}n^{-2}}{m^{-1} n}[/tex]

Simplify

[tex]\frac{4m^{-3}n^{-2}}{m^{-1} n}=4m^{(-3+1)}n^{(-2-1)}= 4m^{(-2)}n^{(-3)}[/tex]

Substitute the values of m and n in the expression

For[tex]m=-2, n=4[/tex]

[tex]4(-2)^{(-2)}(4)^{(-3)}=4(\frac{1}{4})* (\frac{1}{64})=\frac{1}{64}[/tex]

She applied the exponent -2 to 4(-2) instead of applying the exponent to just -2

Answer: It’s C

Step-by-step explanation:

Juss took a test

What is the answer to
20.25 x 6

Answers

Answer:

The answer is 121.50

Step-by-step explanation:

Multiple 6 by the 20 first so you get 120

Then multiply 6 by the .25 and you get 1.5

So just add 120 with 1.5 and you get 121.50

Answer:

121.5

Step-by-step explanation:

Bad at explaining look at picture.

Write the algebraic expression that matches each graph (pictures are not drawn to scale!!):
WILL GIVE 20 POINTS AND BRAINLIEST!!!!!

Answers

Answer:

y = -|x| +3

Step-by-step explanation:

Answer:

-/x/-3

Step-by-step explanation:

Pls help me with this

Answers

Answer:

[tex]x=630[/tex]

Step-by-step explanation:

The Exponential Product rule tells us that...

[tex]x^m*x^n=x^{m+n}[/tex]

Therefore, [tex]x=1+2+3...+35[/tex].

Therefore, [tex]x=630[/tex]

Please help! I need to know the surface area of this! I will mark brainliest!

Answers

the assumption here, being that it's a square pyramid, thus its base is a square, namely a 6x6, Check the picture below.

notice, the pyramid has four triangular faces with a height of 9 and a base of 6, and the squarish base, so we can simply get the area of each of those figures and sum them up.

[tex]\bf \stackrel{\textit{area of four triangles}}{4\left[\cfrac{1}{2}(6)(9) \right]}+\stackrel{\textit{area of base}}{(6\cdot 6)}\implies 108+36\implies 144[/tex]

Amber bought a condominium at a time when prices were at their highs. She paid $200,000. Since then, the market value has decrease by 5% per year. Write an exponential depreciation equation to model this situation. Approximately when will Amber's condominium be worth less than $140,000?

Answers

Answer:

$140,000(1 - .05)^t

Step-by-step explanation:

you have your total amount $140,000

it is decreased by 5% go behind the number and move two decimal points and you get .05

since is decreasing it would be 1 subtracted by ,05

$140,000(1 - .05)^t

"t" is the years it would be depreciated by

I do not see years but by knowledge i would say it is decreasing

Answer:

Since, the exponential decay function,

[tex]A=P(1-r)^t[/tex]

Where,

P = initial value,

r = rate per period,

t = number of periods,

Here, P = $ 200,000, r = 5% = 0.05,

Thus, the value of the condominium would be,

[tex]A=200000(1-0.05)^t=200000(0.95)^t[/tex]

Which is the required equation.

If A < 140,000

[tex]200000(0.95)^t < 140000[/tex]

By the graphing calculator.

[tex]t< 6.95364[/tex]

Hence, about after 7 years the condominium will be worth less than $140,000.

For the 50 students in an art contest there will be 1 prize for 1st place, 1 prize for 2nd place, and 3 prizes for a honorable mention. What is the probability of winning a prize?

Answers

Final answer:

The problem involves calculating the probability of winning a prize in an art contest. The total prizes are 5 and the total students are 50. Therefore, the probability of winning a prize is 5/50 = 10%

Explanation:

The problem you're asking about is a classic question in the field of probability. In this case, we have 50 students entering an art contest. There are 1+1+3=5 prizes to be won. Therefore, the total number of ways of winning a prize is 5.

The total number of outcomes (which in this case is the total number of students) is 50. Thus, the probability of a student winning a prize can be calculated as the ratio of the number of ways of winning to the total number of outcomes. This gives us:

P(Winning a prize) = Number of ways of winning / Total number of outcomes = 5 / 50 = 0.1 or 10%.

So, each student has a 10% chance of winning a prize in the contest.

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Final answer:

The probability of winning a prize in the art contest is 1/10.

Explanation:

To find the probability of winning a prize in the art contest, we need to consider the total number of students and the number of prizes available.

There are 1 prize for 1st place, 1 prize for 2nd place, and 3 prizes for honorable mention.

Therefore, a total of 5 prizes are available.

The probability of winning a prize can be calculated by dividing the number of prizes by the total number of students.

So, the probability is 5/50, or 1/10.

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5 projects require 53 paving stones about how many stones are needed for all of the projects​

Answers

Answer:260

53×5=260

Step-by-step explanation:

265 paving stones will be needed if it is 53 for each project

If a=i-2j and b= 2i - xj are parallel, then x is.....
a) 4 3 2 ) 2 d 4.​

Answers

Answer:

x = 4

Step-by-step explanation:

a = i-2j

b = 2i-xj

1 = k•2

-2 = k•(-x)

=> 1/2 = k

=> (-2)/(-x) = k

=> 1/2 = (-2)/(-x) => 1/2 = 2/x => x = 4

Please help me with the answer

Answers

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are angles that are opposite of the transversal line, but are found outside or the external side of the of the line that intersects them.

If the lines that intersect them happen to be parallel, then their measures would be congruent.

ANSWER

<1 and <8 are alternate exterior angles.

EXPLANATION

From the diagram we can trace a Z shape between the two parallel lines.

When we trace the shape, <1 and <8 will be on the exterior corners of the z-shape.

z-angles are called alternate angles.

These two angles are alternate to each other.

Hence <1 and <8 are alternate exterior angles.


Tomas Gomez's gross weekly pay is $750. What amount is deducted weekly for Social Security taxes, if the tax rate is 6.2%?

$41.85

$962.55

$52.70

$46.50

Answers

Final answer:

The amount deducted weekly for Social Security taxes from Tomas Gomez's gross weekly pay of $750 at a tax rate of 6.2% is $46.50.

Explanation:

The question relates to calculating deductions for Social Security taxes from Tomas Gomez's weekly pay. To calculate the amount deducted weekly for Social Security taxes at a tax rate of 6.2%, you multiply the gross weekly pay by the tax rate.

Gross Weekly Pay: $750
Social Security Tax Rate: 6.2%

Calculation: $750 * 6.2% = $750 * 0.062 = $46.50

Thus, the amount deducted weekly for Social Security taxes from Tomas Gomez's gross pay is $46.50.

if f(x)=x+4 and g(x)=x^2-1, what is (g*f)(x)​

Answers

(X + 4)(X^2 - 1) = x^3 + 4x^2 - x - 4

Jeff made $243.75 last week. If he worked 25 hours, how much is he paid for one hour of work? Jeff made $243.75 last week. If he worked 25 hours, how much is he paid for one hour of work?

Answers

Answer:

$9.75 per hour

Step-by-step explanation:

243.75/25= 9.75

Hope this helps you out!

Answer:

Jeff is paid $9.75 for one hour of work.

Step-by-step explanation:

Jeff made last week = $243.75

He worked 25 hours for a week.

We have to calculate his pay per hour, so we divide his total pay by the time he worked.

total pay ÷ time he worked ( in hours)

pay per hour = 243.75 ÷ 25 = $9.75/hour

Jeff is paid $9.75 for one hour of work.

9t-3t+2
Combine like terms to create an equal expression.

Answers

Answer:

6t - 3

Step-by-step explanation:

9t - 3t + 2

Combine like terms: 9t - 3t = 6t

so

9t - 3t + 2

= 6t - 3

A recipe calls for 212 cups of flour to make 2 dozen cookies. How many cups of flour would be required to bake 15 dozen cookies.

Answers

Answer:

(212 cups/2 dozen)(15 dozen) = 1,590 cups

Solve and graph

1. 3x-7>5

2. -1y<3

Answers

Answer:

1. x>4

2.y>-3

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