Solve the triangle for which ∠ A = 30 ∘ , ∠ B = 45 ∘ , and a = 20 . Round to the nearest whole number. Do not use a decimal point or spaces in your answer or it will be marked incorrect. b = ∘

Answers

Answer 1

Answer:

[tex]b=20\sqrt{2}[/tex] units

Step-by-step explanation:

Recall the Law of Sines

[tex]\frac{sinA}{a}=\frac{sinB}{b}=\frac{sinC}{c}[/tex]

Solve for side "b" given ∠A, ∠B, and side "a"

[tex]\frac{sinA}{a}=\frac{sinB}{b}\\ \\\frac{sin(30^\circ)}{20}=\frac{sin(45^\circ)}{b}\\ \\ bsin(30^\circ)=20sin(45^\circ)\\\\b(0.5)=20(\frac{\sqrt{2}}{2})\\ \\0.5b=10\sqrt{2}\\\\b=20\sqrt{2}[/tex]

Therefore, [tex]b=20\sqrt{2}[/tex] units

Answer 2

Answer:28

Step-by-step explanation:


Related Questions

PLEASE HELP HURRY WILL MARK THE BRAINLIEST ONLY ANSWER IF U KNOW 25 POINTS!!!what is the value expression 2⁴ plus 3²​

Answers

Answer:

25

Step-by-step explanation:

2x2x2x2=16

3x3=9

16 + 9= 25

What is the lcm of 12 and 18

Answers

Answer: 36

Explanation: 36 is the smallest number divisible by both 12 and 18.
12x3 and 18x2 = 36

Answer:

36

Step-by-step explanation:

Hi there!

We want to find the least common multiple (LCM) of 12 and 18

One easy way to do that is to split up the numbers into one of their factor pairs, find the factor pairs between the numbers we just split apart, and then keep on going, until we only get prime numbers (numbers that only have 1 and itself as multiples)
Let's start with 12.

There are multiple ways to multiply to get to 12, but we can use 3 and 4 for example

12= 3*4

4 is 2 * 2  

Substituting 2*2 for 4, 12 is equal to 2*2*3

Now for 18.

18 can also be split up multiple ways; one way would be 9 and 2

18 = 2*9

9 is 3*3

Substitute 3*3 for 9.

18=2*3*3
Now look at 2*2*3; 2 shows up twice in that string of numbers

In 2*3*3, 3 shows up twice in that string of numbers

We multiply the numbers based off of the highest number of times that they occur
In other words, we will multiply 2 * 2  and 3 * 3 together
2 * 2 * 3 * 3 = 4 * 9 = 36
The LCM of 12 and 18 is 36

Hope this helps!

See more on finding the LCM here:
https://brainly.com/question/20380514

Help pleaseeee helpp!!

Answers

Answer:

D

Step-by-step explanation:

i did the math

Find the missing lengths:
LN=
MN=

Answers

Answer:

LN=4.33

MN=5

Step-by-step explanation:

sine 60

A box is 20 inches long and 21 inches high. What is the diagonal length of the box?

Answers

Answer:

29 inches

Step-by-step explanation:

Answer:

Use Pythagoras' Theorem:

c²=a²+b²

c²=20²+21²

c²=841

c=√841

c=29 inches

Step-by-step explanation:

Write an equation for the line parallel to the given line that contains C.
c(3,8); y= 5/8x + 8

Answers

Answer:

x= - 64/5

Step-by-step explanation:

1- Substitute y = 0

2- Multiply both sides

3- Move the variable to the left

4- Divide both sides

Pls solve this I can do it after school I can do it after school , I’m going to cry again

Answers

Answer:

s = 71

j = 23

71 = 3j+2

71 - 2 = 3j

39 = 3j

j = 23

Answer:

j=23

s=71

Step-by-step explanation:

Here we have two parallel lines lines( UB and DK).

And we have another line, called a transversal that intersects( crosses) both parallel line. Doing so creates the following angles,

Vertical Angles, Angles are equal in measure Alternate Exterior Angles, Angles are equalAlternate Interior Angles. Angles are equalConsective Angles. Angles are equalLinear Pair Angles. Angles add up to 180

So now we look at the graph

First, we know that 3j+2 and s are vertical angles since they are across of each other. So they are equal to each other so let look at another angle first.

3j+s and 71 are Alternate Interior Angles since they lie inside the transversal and are across from each other.

Since they are Alternate Interior Angles, they are equal.

So we set them equal to each other.

[tex]3j + 2 = 71[/tex]

Subtract 2 from both sides

[tex]3j = 69[/tex]

Divide both sides by 3

[tex]j = 23[/tex]

The value of j is 23.

Know to find S, we know s is equal to 3j+2, which when we plug in 23 for j, we get 71.

So s=71

can you simplify 4(-5+100)

Answers

380
Do 4(-5) = -20
Then 4(100) = 400
Add -20+400=380
(You have to subtract because of the negative number but the answer is positive because the bigger number in the equation is positive)

( SHOW UR WORK) Find the value of 8.41 + 42.320

Answers

Answer:

See below.

Step-by-step explanation:

42.32

+8.41

50.73

-hope it helps

Answer:

      50.73

Step-by-step explanation:

  8.41

42.32

+_________

      50.73

Hope this helps! Have a great day!!

(3x-1)•(5x-3)

find area and perimeter in feet

Answers

Answer:

21 is the answers to your question

19. A bird flies at 12 miles/hour. How long does he take to fly 36 miles?

Answers

Answer:

He flew for 3 hours

Step-by-step explanation:

in this question we can use the formula :

[tex] \boxed{t = \frac{s}{v}} [/tex]

t is time

s is distance

v is Speed

_________________

We know that :

v = 12 miles/hour

s = 36 miles

So :

[tex] t = \frac{s}{v} = \frac{36}{12} [/tex]

[tex] \boxed{t = 3 \: hours}[/tex]

______________________

It would take 3 hours to fly 36 miles :)

NEED HELP!! Urgently!

Answers

3x+6


Add the two sepratw ones and that the answer

Simplify (3x2 − 2) (2x2 − 6x 3). 5x2 − 6x 1 5x2 − 6x − 1 x2 − 6x 1 5x2 − 8x 3.

Answers

Answer:

-566

Alternative form:

-5.66 x [tex]10^{2}[/tex]

Find the volume of this cylinder if it has a diameter of 4mm and a height of
14mm.

Answers

Answer:

V≈1.76×10-7m³

Step-by-step explanation:

Which polynomials are prime? Check all of the boxes that apply.

x2 + 9

x2 – 9

x2 + 3x + 9

–2x2 + 8

Answers

Answer:

Answer:

The prime polynomials are

x² + 9

x² + 3x + 9

Step-by-step explanation:

Is (6,3) a solution to the equation "a"? Yes or No.

Yes

No

Answers

Answer: Yes

Explanation: When plotted on the graph, equation A's line meets the point. This means it is a possible solution to equation A.

Answer:

Yes

Step-by-step explanation:

2) It takes me 25 minutes to drive to school in the morning and 20 minutes to drive home after
school if those times stay the same every day, how much time do I spend driving to and from school
in a week?

Answers

Answer:

225 minutes if school is 5 days a week.

Step-by-step explanation:

20+25=45. 45x5=225

17. Alexis has a painting presently valued at $2000. An art dealer told her the painting would
appreciate at a rate of 8% each year. In how many years will the painting be worth $5000?
Round your answer to the nearest tenth.
Show work please

Answers

Answer:

18.8 years

Step-by-step explanation:

8% of $2000 = $160

To be worth $5000, the painting need to rise by $3000
And every year it rise by $160, so it will need 3000 : 160 = 18.75 (round to 18.8) years.

Please Help! ASAP. Will give Brainliest

Answers

Answer:

3 Not too sure though

Step-by-step explanation:

don't input my answer, i'm not too sure!

amelia mom baked 48 cookies after amelia and her friends walk in the kitchen there are 18 cookies left

Answers

They are 20 because 48 cookies and there are 18 left means 48-18 is 20

Find a polynomial that represents the surface area of a sphere with a radius of (3x – 5) cm.
The surface area of a sphere is 4π^2. Leave your answer in terms of it.

Answers

Answer:

π(36x^2 - 120x + 100)

Step-by-step explanation:

4π(3x - 5)^2 = 4π[(3x)^2 - 2*3x*5 + 5^2] = 4π(9x^2 - 30x + 25)

= π(36x^2 - 120x + 100)

helpp! im 2 lazy to do it

Answers

Answer:

28. add them all together

Answer:

the answer is 28

Step-by-step explanation:

you have good taste in music

71.5*(-9.2)

A. –657.8
B. –65.78
C. 65.78
D. 657.8

Answers

Answer:

(A)

Step-by-step explanation:

you can multiply normally like 71.5 × -9.2 =-657.8

PLEASE HELP!!! If the height of the lighthouse is 53 meters and the angle of elevation is 47°, which of the following may be used to find the distance, z, between the boat and the base of the lighthouse?

Answers

Answer:

tan(47)=53/z

Step-by-step explanation:

Using trig ratio tan(x)=O/A

there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)

Therefore, tan(47)=53/z

H=53theta=47°

[tex]\\ \tt\hookrightarrow tan47=\dfrac{H}{B}[/tex]

[tex]\\ \tt\hookrightarrow tan47=\dfrac{53}{B}[/tex]

[tex]\\ \tt\hookrightarrow B=\dfrac{53}{tan47}[/tex]

Can someone help me with this please!​

Answers

Answer:

Step-by-step explanation:

Can someone please help me with all of these. And thank you.

Answers

Answer/Step-by-step explanation:

1. x = -3.6

Add 1 on both sides.

18x = 23x + 18

Subtract 23x on both sides.

Combine like terms.

Divide the answer.

-5x = 18

x = -3.6

2. x = 11/3 (2.66666...)

Add 5 on both sides.

6x = 3x + 11

Subtract 3x on both sides.

Combine like terms.

Divide the answer.

3x = 11

x = 11/3

3. x = 23

Subtract 12 on both sides.

5x = 6x - 23

Subtract 6x on both sides.

Combine like terms.

Divide the answer.

-x = -23

x=23

(that's all.)

Jimmy's height is 156 cm, Kessie's height is 168 cm, while Lya's height is 132 cm. Define:

Answers

Answer:

132<156<168 or 12×1, 12×2 ...

Step-by-step explanation:

Jimmy's 24cm taller than Lya, and Kessie's 12cm taller than Jimmy

A lookout tower above a canyon is 4 meters above ground level. The depth of the canyon is 16 meters below ground level. If 0 represents ground level, which number sentence correctly compares their distances above and below ground level?

A) 4<-16

B)4>-16

C)-4<16

D)-4>16

Answers

Answer:

B

Step-by-step explanation:

4 meters above. So 4 will not be negative, this eliminates C and D.

16 is definitely negative. So that eliminates C and D again.

< the number on the left of this is smaller than the right

> the number of the right of this is bigger than the left

4 is larger than -16

4>-16

B

I think it’s A because 4 is above which mean it’s positive and 16 below when negative. That means it’s greater than because the larger number eats the smallest number.

What fraction of an hour is four minutes

Answers

Answer

1hr/15 mins=60 mins/15 mins=4 minutes.

Step-by-step explanation:

can you tell me the answer please

Answers

Answer:

11

Step-by-step explanation:

140-129=11

Answer:

140 - 129

Step-by-step explanation:

If Alyanna has more cookies than Alyssa, and we want to find how much more, we need to subtract Alyssa's amount from Alyanna's amount

Therefore, Alyanna has 11 more cookies than Alyssa.

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