In ΔABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.

Answers

Answer 1

Answer:

The length of [tex]b[/tex] is approximately 11.7.

Step-by-step explanation:

The sum of internal angles in triangles equals 180°, as we know the measures of angles B and C, we determine the measure of angle A by algebraic means:

[tex]A = 180^{\circ}-B-C[/tex] (1)

([tex]B = 22^{\circ}[/tex], [tex]C = 52^{\circ}[/tex])

[tex]A = 180^{\circ}-22^{\circ}-52^{\circ}[/tex]

[tex]A = 106^{\circ}[/tex]

The length of [tex]b[/tex] is found by the Law of Sine:

[tex]\frac{b}{\sin B} = \frac{a}{\sin A}[/tex]

[tex]b = a\cdot \left(\frac{\sin B}{\sin A} \right)[/tex]

([tex]a = 30[/tex], [tex]A = 106^{\circ}[/tex], [tex]B = 22^{\circ}[/tex])

[tex]b = 30\cdot \left(\frac{\sin 22^{\circ}}{\sin 106^{\circ}} \right)[/tex]

[tex]b \approx 11.7[/tex]

The length of [tex]b[/tex] is approximately 11.7.


Related Questions

Suppose there are approximately 220 calories in 3 servings of a particular brand of cereal and 362 calories in 5 servings of the same cereal. Find the rate of change.

Answers

Answer:

.93 calories per serving

Step-by-step explanation:

220 ÷ 3 = 73.3333333 calories per serving

3 ÷ 220 = 0.0136363636

362 ÷ 5 = 72.4

5 ÷ 362 = 0.0138121547

73.3333333 - 72.4 = 0.9333333 = around .93

PLEASE HELP AND EXPLAIN!!

Answers

Answer:

D

Step-by-step explanation:

This isnt a cartisean coordinate plane so A is wrong. One of our points is at

[tex] - 3 + i[/tex]

Because it coincide with real number 3, and negative imaginary number i.

Conjugates are terms with opposite inverse of terms.

So our conjugates is

[tex] - 3 - i[/tex]

Can someone help me with this?
⬇️
-2(10 + x) = 4​

Answers

Answer:

x = -12

Step-by-step explanation:

-2(10 + x) = 4​

Divide each side by -2

-2(10 + x) / -2  = 4/-2

(10 + x) = -2​

Subtract 10 from each side

10+x-10 = -2-10

x = -12

Response:

The solution to this equation is: x = -12

What is the first degree equation?

First degree equation is an equality between members where we find at least one variable.

How to solve this equation?

We have the equation:

[tex]\sf -2(10+x)=4[/tex]

First, we must apply the distributive property.

[tex]\sf -20-2x=4[/tex]

Now we move the independent term to the second degree.

[tex]\sf -2x=4+20[/tex]

We add similar terms.

[tex]\sf -2x=24[/tex]

We isolated the term "x".

[tex]\sf x=\dfrac{24}{-2}[/tex]

Finally, we carry out the division. Discovering, in this way, the solution.

[tex]\boxed{\boxed{\sf x=-12}}[/tex]

will mark brainliest! PLEASE!

Answers

Answer:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Step-by-step explanation:

a) There are two possibilities for rigid transformation:

(i) 180° counterclockwise rotation around point B.

(ii) 180° clockwise rotation around point B.

b) Since transformation is rigid, it is suppose that every measure for sides and angles remains constant. In other word, sides and angles are conserved.

c) The corresponding angles and sides are presented below:

[tex]BC = BE[/tex], [tex]AC = DE[/tex], [tex]AB = BD[/tex]

[tex]\angle B = \angle B[/tex], [tex]\angle A = \angle D[/tex], [tex]\angle C = \angle E[/tex]

Please help explanation if possible

Answers

x + y > 4 because greater or equal to symbol since that’s the least they want
Then 3x + 2y < 20 because greater or equal to 20$ spent

a family block of Chocolate is made up of 6o small squares
manica eats 10 square John eats 9 Squares and holly eats
5 squares what is the fraction of the block of chocolate
is left

Answers

Answer:

a family block of Chocolate is made up of 6o small squares

manica eats 10 square John eats 9 Squares and holly eats

5 squares what is the fraction of the block of chocolate

is left

Step-by-step explanation:

i think its answer is 36

is 9y+3=0 a nonlinear ?

Answers

Answer:

Its not nonlinear

Step-by-step explanation:

Answer:

no, it is a linear function as y has a degree of 1

How did you solve 43? I need explanation I’ll give brainliest

Answers

Answer:

Its 6

Step-by-step explanation:

Answer:

C. 4

Step-by-step explanation:

There are a total of 24 marbles. If you take out 8 of them, that leaves you with 16 marbles left. After doing that, if the chances of withdrawing a white marble are now 1/4, then there would have to be 4.

4/16 = 1/4

if my mine craft house was burning leaves irl and i was watering my boat on a Wednesday on a weekend in December when its summer how many fish will become orphans late nights in the middle of june?​

Answers

I’d say around 47 ophans technoblade has kicked

Help pls
You add the same amount of money to your savings each week. At week 5 you have $45. At week 12 you have $80. How much money do you have at week 20?

Answers

Answer: $120

First, create a function

x = number of weeky = amount of money in savingsa = amount of money added each weekb = the amount of money in savings at week 0

[tex]\left \{ {{5a+b=45} \atop {12a+b=80}} \right.\\\\(5-12)a+(1-1)b=45-80\\\\-7a=-35\\\\a=\frac{-35}{-7} =5\\\\5a+b=45\\\\5(5)+b=45\\\\b=45-25=20[/tex]

Therefore, the function is y = 5x + 20

To find the amount of money at week 20, set x = 20 and solve:

[tex]y=5(20)+20=100+20=120[/tex]

Therefore, the answer is $120.

Simplify
(+8)-(-4)+(-5)​

Answers

Answer:

17

Step-by-step explanation:

8+4+5=17

Answer:

7

Step-by-step explanation:

(+8)-(-4)+(-5)

=8+4-5

=12-5

=7

Can someone PLEASE answer the Algebra Question CORRECTLY BELOW!
Thank you, I will mark brainiest!

Answers

From The picture 2 barrels = 73 gallons

Divide by 2 for gallons per barrel:

73/2 = 36.5 gallons per barrel

Multiply gallons per barrel barrels:

36.5 x 0.045 = 1.6425 gallons.

Rounded to 2 decimals = 1.64

The width of a rectangle measures (8x + 2) centimeters, and its length measures
(6x + 6) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
20x + 24
28x + 16
Submit Answer
O 8 + 14x
O 10x + 12

Answers

Answer:

(28x+16)cm

Step-by-step explanation:

2(8x+2)+2(6x+6)

16x+4+12x+12

28x+16

S O L U T I O N

Perimeter = 2(Length + Breadth)

Perimeter = 2(6x + 6 + 8x + 2) cm

Perimeter = 2(14x + 8) cm

Perimeter = 28x + 16

CORRECT ANSWER IS OPTION B, 28x + 16

WILL GIVE BRAINLIEST. Given: SLant Prism, m

Answers

Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i

Name the property: i) (-15) X (-56)
ii) (-72) X 26 = 26 X (-72)
iii) [8 X (-46)] X 32 = 8 X [(-46)] X 32]
iv) (-15) X 105 = [(-15) X (100 +5)] = [(-15) X100] + [(-15) X 5]

Answers

Answer:

Open in answr appOpen_in_app

(i)

15

7

=

30

x

⇒x=

15

7×30

=14

(ii)

3

x

=

18

12

⇒x=

18

12×3

=2

(iii)

x

30

=

24

45

⇒x=

45

30×24

=16

(iv)

16

8

=

x

25

⇒x=

8

25×16

=50

Step-by-step explanation:

yeah

15men can complete a piece of work in25days. how many men should be added to complete the same work in15days.​

Answers

Answer:

10 men

Step-by-step explanation:

Amount of work done by 15 men is:

15 men *25 day = 15*25 man*days

Same work can be done by 25 men, in 15 days, so 10 more men should be added.

Answer: 10 men explanation: guy above me

B
16 m
A
С
20 m -
Find the area of AABC.
[?] ml
Enter

Answers

Answer:

A = 60 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20)*6

A = 60 m^2

In the given figure, if AOB is a straight line, then ∠BOC is

Answers

Answer:

acute angle.

Step-by-step explanation:

because it is 60 degree

Nếu AOB là một đường thẳng thì góc BOC =90°

C={X:X is even number X less than n equal to 7}

Answers

Answer:

ok

Step-by-step explanation:

ok

Annabeth has $29.00 to spend at the sporting goods store.
She buys a T-shirt that costs $15.32. She spends all of her
money. She also wants to buy a soccer ball for $13.68, a
baseball cap for $8.39, a set of shin guards for $14.98, or a
water bottle for $5.93.
*Need asap* (might give brainiest if I can)

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The soccer ball.  

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'c'...}}\\\\15.32 + c = 29.00\\-----------\\\rightarrow 15.32 - 15.32 = 29.00 - 15.32\\\\\rightarrow \boxed{13.68}[/tex]

⸻⸻⸻⸻

She would have $13.68 dollars left. Her second item should be the soccer ball.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Solve for X. Geometry

Answers

Answer:

x=12

Step-by-step explanation:

LM + MN = LN

2x-16 + x-9 = 11

Combine like terms

3x-25=11

Add 25 to each side

3x-25+25 = 11+25

3x = 36

Divide by 3

3x/3=36/3

x = 12

Which geometric terms are modeled by the Eiffel Tower

Answers

Point and line are geometric terms for the Eiffel Tower

Any help is very much appreciated!! (:

Answers

Answer:

the third option

Step-by-step explanation:

the 5 pounds weight at birth is the starting value.

so, the function needs to have a constant part of at least +5.

and every month 0.5 pounds are added.

that is exactly the situating to use multiplication : weight gain per month times the number of months (plus the starting value of 5 pounds) delivers the weight after a certain number of months.

w = weight after t months

t = number of months measured

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT

Answers

Answer:

No

Step-by-step explanation:

The line of best fit should follow the correlation of the data and it should go through as many of the plotted data as possible.

The Data is showing a negative correlation but she has drawn on a positive correlation and it also only goes through 1 point.

Hope this helps :)

the distance of a point P(x, y) from the origin O(0, 0) is given by OP=__​

Answers

Answer:-

[tex]\boxed{\sf \sqrt{x^2+y^2}}[/tex]

Explanation:-

P(x,y)O(0,0)

We know distance formula

[tex]\boxed{\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(0-x)^2+(0-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{(-x)^2+(-y)^2}[/tex]

[tex]\\ \sf\longmapsto OP=\sqrt{x^2+y^2}[/tex]

4.32/3.6=
please help soon!!

Answers

Answer:

if this is division it's 1.2.

Step-by-step explanation:

just divide it of its division if not sorry

Answer:

1.2

Step-by-step explanation:

The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?

Answers

Answer:

0.305

Step-by-step explanation:

We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950

Thus, to get the area to the left, we just subtract 0.6950 from 1.

Thus;

area to the left of z = 0.51 is;

P( z < 0.51) = 1 - 0.6950 = 0.305

help asap------------

Answers

Answer:

the real is -19

the imaginary is -24 (or -24i depending on what the computer is looking for as an answer)

Step-by-step explanation:

Pls help me this is due tomorrow

Answers

Step-by-step explanation:

Claim: There's 14 Goats and 9 Chickens!!

Data:

Working with the Provided Information.

Let the Number of goats be x

let the Number of Chickens be y

x + y = 23..... (i)

Since the goat Possesses Two Pair of Legs... Which is a Total of 4 Legs... We say Let its Contribution be 4x.

The Chicken has Only a Pair Of Legs...Which is a total of 2 legs.... We say let its contribution be 2y

4x + 2y = 74 .....(ii)

BRINGING BOTH EQUATIONS TOGETHER.

x + y = 23

4x + 2y = 74

From Eqn i

x= 23 - y

Substitute into eqn ii

4(23 - y ) + 2y = 74

92 - 4y + 2y = 74

92 - 2y = 74

2y = 92 - 74

2y = 18

y= 9.

Substitute y into any of the eqns to get x

x + y = 23

x + 9=23

x = 23 - 9

x = 14

This simply proves that there are 14 Goats and 9 Chickens!!!.

HAVE A GREAT DAY!

Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.

Answers

Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

Other Questions
In the circle below, if arc AC = 66, and arc BD = 146, find the measure of Select one:a. 146b. 212C. 66d. 106 HURRY PLEASE!!!!! All of the following expressions are equal except ____. 1/4^3 4^2/4^5 4^5/4^2 4^-3 [tex] \frac{5}{5 \sqrt{6 + 2 \sqrt{3} } } \times ( \frac{1}{5 \sqrt{3} } + \frac{3 \sqrt{2} }{2 \sqrt{3} } - \frac{2 \sqrt{3} }{3 \sqrt{2} } ) = [/tex] .................... c program to generate prime numbers from 1 to 100.Also count prime numbers. what is the largest whole number (03.02 LC)Read, look at the image, and select the image that matches the sentence.Te gusta el helado? VERB TENSES REVISIONComplete the sentences using the correct form of the verb in brackets.1. Alex nebo G. (prefer) tea to coffee.2. By the end of the month we(finish) our school project.3. Catsdrunk(drink) milk.4. Elliott and Stephanie_call bave (move) to Liverpool by Easter.5. Helen is doing (do) her homework right now.6. How longhaveyou been acting (wait) before the taxi arrived?7.(not reply) to my teacher's email yet.8. I think my daughter(pass) all her exams because she is such a good student.9. 1(go) to a theme park last summer.10.1 69 not do_(not do) it again, I promise!11. If you heat chocolate, it melts(melt).12. It(rain) the whole morning.13. Jeremy(write) three letters so far today.14. John(eat) a lot these days. Which of these optical devices is fairly fragile, easy to snap or scratch1. Flash memory2. Magnetic tape3. CD4. Hard disk How does modulus of elasticity change with the rise of temperature Answer the question explain how supply side economics has led to lower relative taxes on higher earning citizens in America. Probability of tourism in karnali province During a snow storm, (Main street/Main Street) is always plowed first. Mott Company's sales mix is 3 units of A, 2 units of B, and 1 unit of C. Selling prices for each product are $37, $47, and $57, respectively Variable costs per unit are $30, $31, and $34, respectively. Fixed costs are $456,000. What is the break-even point in composite units? a) 1.239 composite units b) 1357 composite units c) 2763 composite units d) 4,606 composite units. Can someone answer this pls Answer the following questions 1 What is the difference between mass and weight of an object. Will the mass and weight of an object on the earth be same as their values on Mars ? Why? The price of a hamburger is 3 dollars. what is the price of 90 hamburgers? What is the midpoint of segment AB? state the advantages and disadvantages of alkaline battery over a lead acid accumulator write the following numbers using Roman numerals 20