Solve triangles using the law of sines

Solve Triangles Using The Law Of Sines

Answers

Answer 1

Answer:

BC = 18.7

Step-by-step explanation:

Here, we want to solve the triangle using the law of sines

According to the law, the ratio of the measure of the side of a triangle and the sine of the angle that faces the side is a constant for all sides of the triangle

Mathematically;

a/sin A = b/sin B = c/sin C

with reference to this particular triangle, we have it that;

20/sin 80 = BC/ sin 67

BC = 20 * sin 67/sin 80

BC = 18.7


Related Questions

what letter does it match?

Answers

Answer:

B. Slope-intercept form is y = mx + b. M is slope, so it would be the one right in front of x which is -3 :)

Jeffery is making a wall design with tape. How much tape does he need to put the design shown on his wall? Explain how you used the information in the diagram to find your answer

Answers

Answer:

I can't see the diagram could you attach it

Step-by-step explanation:

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two
sides of this triangle?
• 5 cm and 8 cm 8
• 6 cm and 7 cm
0 7 cm and 2 cm
• 8 cm and 9 cm

Answers

sorry I tried to find out the correct answer but because of one mistake I can't remember

Find the area of the following shapes

Answers

Area of small rectange = 7 cm × 4 cm = 28 cm sq

Area of bigger rectangle = 4cm×10 cm = 40 cm sq

Area of traingle = 1/2 × 8*3 cm sq = 12 cm sq

total area of polygon = ( 28 + 40 + 12 ) cm sq

area of polygon = 80 cm sq

What is the equation of the line that passes through the point (2,-4)(2,−4) and has a slope of 22?

Answers

Y = mx + b
m = slope. Find b
Y = 22x + b
Plug in the point
-4 = 22(2) + b
-4 = 44 + b, b = -48
Solution: y = 22x - 48

Find the equation of the line of best fit shown below.

Answers

Answer:

it’s a

Step-by-step explanation:

just do rise over run count how many it is going up from your y intercept to a point on the graph then count to the right from your y intercept to get your answer.

i need help with my homework, and the question is:
what is the equation of line? write in the form y=mx+b
it passes through (2,-5) and its x-intercept is 4.

Answers

Answer:

When the line intercepts the x axis, this means that y will be 0.

therefore the 2 coordinates the line passes through are (2,-5) and (4,0)

given equation of line:

y=mx+b

where m = slope

b = y-intercept.

Let (2,-5) and (4,0) be (x1,y1) and (x2,y2) correspondingly.

slope of line = y1-y2 / x1 - x2

[tex] = \frac{ - 5 - 0}{2 - 4} \\ = \frac{ - 5}{ - 2} \\ = \frac{5}{2} [/tex]

Now substitute x = 4, y = 0 and m = 5/2 into equation of line to find b.

[tex]0 = ( \frac{5}{2} )(4) + b \\ 10 + b = 0 \\ b = 0 - 10 \\ = - 10[/tex]

therefore equation of line will be:

[tex]y = \frac{5}{2} x - 10[/tex]


An employee compiled sales data for a company once each
month. The scatter plot below shows the sales (in multiples of
$1000) for the company over time (in months). The equation
represents the linear model for this data.
50
45
40
Sales ($1000)
35
30
y = 0.94x + 12.5
25+
20+
++
15
10
According to the model, what will the company's sales be after
40 months?
5
o

Answers

Answer:

well if you think about it the answer you see is in the points

Step-by-step explanation:

and the data comes from the scatterplot so try to see it and remember to chose b or c ok  

I need help with letter B, find the area

Answers

Answer:

58

Step-by-step explanation:

6*8+2*2+3*2=58

Hypnosis is a state of human consciousness involving a heightened sense of focus and concentration while blocking out sources of distraction. Researchers believe 80% of all people can be hypnotized. A random sample of 50 people showed that 42 of them were hypnotized successfully. Find the p-value and z-score to determine to show that 80% or more can be hypnotized.

a. p = 1.84, z = 0.71
b. p = 1.71, z =1.84
c. p = 0.71, z = 0.84
d. p = 0.76, z = 0.71

Answers

The answer is c that’s the answer

In order to determine the average price of hotel rooms in Atlanta, a sample of 63 hotels were selected. It was determined that the test statistic (z) was $-1.53. We would like to test whether or not the average room price is significantly different from $110. Population standard deviation is known to us. Compute the p-value.

Answers

Answer:

Pvalue = 0.063008

Step-by-step explanation:

Given :

Sample size, n = 63

The test statistic = - 1.53

To test if average room price is significantly different from $110 ; μ = $110

H0 : μ = 110

H1 : μ < 110

From the test statistic value obtained, we could see that the test is left tailed

The Pvalue :

P(Z < - 1.53) = 0.063008

If the claim is to be tested at 5% level of confidence then

Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110

I need help, please! ASAP.

Answers

Answer:

Formula for percent change is C = {x_2 - x_1}/{x_1}  

C = relative change

x_1 = initial value

x_2 = final value

Step-by-step explanation:

Answer:

<_> daddy

Step-by-step explanation:

Lana is putting lace trim around the
border of a circular tablecloth. The
tablecloth has a diameter of 1.2 meters.
To the nearest meter, what is the least
amount of lace she needs? Use 3.14 for T.

Answers

Answer:

[tex]1.2 \times 3.14[/tex]

Step-by-step explanation:

The ratio of a circumference to its diameter is equal to an irrational number, called pi, roughly equal to 3.14, denoted by symbol

[tex]\pi[/tex]

Therefore, knowing the diameter d, the circumference is equal to d*π

Write an equivalent expression.
−2​(7+6g​)
Choose the correct answer below.
A.
−2​(7+6g​)=6g−14
B.
−2​(7+6g​)=−2−12g
C.
−2​(7+6g​)=−14+6g
D.
−2​(7+6g​)=−14−12

please help lol

Answers

8.5 the answer is and replace the areas

The price of a bowl of plain pho is 6$. With 4 ingredients added, the total is 8$. Find the price of each ingredient

Answers

Answer:

0.5

Step-by-step explanation:

6+ 4x = 8

or, 4x = 8-6

or, 4x = 2

x = 0.5

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Answers

Answer:

30 is the volume

Step-by-step explanation:

Multiple 6x5 to get your answer

What is the unit rate for the ratio 100 points/ 4 games?

Answers

Answer:

25

Step-by-step explanation:

100 divided by 4 = 25

Anyone help ?? Sorry please

Answers

Answer:

All the points in the scatter plot are written as (x, y)

Where x is the value in the horizontal axis (in this case the weight)

and y is the value in the vertical axis (in this case, the number of seeds)

We want to know the weight of 100 seeds.

We know that the number of seeds is represented in the vertical axis.

Then, first let's look at the vertical axis and find the value 100.

Now let's move horizontally the right until we meet the point.

Once we meet the point, let's move vertically to the horizontal axis, and see in which value we intersect the axis.

If we do that, we can see that we will intersect the x-axis at the value x = 5.

And this axis represents the weight in kg, then the weight of 100 seeds is 5kg.

How do you find the h variable? 3ℎ+7=19

Answers

Answer:

h=4

Step-by-step explanation:

Subrtract 7, giving you 12.

Then divide by 3 to isolate h. Giving you 4.

plss help i’ll give brainliest thank you!

Answers

Answer:

d

Step-by-step explanation:

in c greatest common factor is 8

But in D

Factors of 12 = 1, 2, 3, 4, 6, 12

Factors of 20 = 1, 2, 4, 5, 10, 20

Look only 4 is GCF

Kay wants to increase the number 9,653 by multiplying. By which number can she multiply to get a product that is greater than 9,6537​ (please show step by step explanation)

A: 4/5

B: 2/2

C: 9/4

D: 7/8

Answers

Answer:

Option C.

Step-by-step explanation:

Kay has the number 9.653

We want to find a number such that if we multiply this one by that number, the product will be larger than 9.6537​

First, you need to notice that 9.6537​ > 9.653

Now you need to remember that if we have a number A and a number B.

A*B > A if B > 1

A*B = A if B = 1

A*B < A if 0 < B < 1

Then we need to find an option with a number larger than 1.

Also, a rational number a/b is larger than 1 only if a > b

The only option which has an option larger than 1 is C.

C: 9/4 = 8/4 + 1/4 = 2 + 1/4

What’s the answer for this

Answers

the angle is 37 degrees

Answer:

36.87°

Step-by-step explanation:

tan x= opposite/adjacen

x=tan ^-1(300/400)

x=36.86989765

What is the distance between (5, -6) and (2, -6) on a coordinate plane?

Answers

Answer:

3 units is the answer..

hope it helps

Help ASAP! 40 points plus brainly !

Answers

Step-by-step explanation:

use the distance formula. calculate the distance between AB and then between CD showing AB = CD.

then use the distance formula on BC and AD, showing they are equal.

d=√((x_2-x_1)²+(y_2-y_1)²)

I answered the question 3x-y=5 but is there a different way to answer this?

My answer:

I switched the y with the 3x
3x=y+5

Then I subtracted by 5

y=3x-5

Answers

Step-by-step explanation:

Hi,

I agree with what you did. You could also add y on both sides and get 3x = y + 5 and then divided by three to get...

x = 5 + y /3

(the 5 and y are being divided by 3)

But that's just complicated, it works, but it's complicated. What you did is correct and what I gave you is the value of x, but I'm 100 percent sure yours is correct.

Hope this helps

Answer and Step-by-step explanation:

Yes (technically),  there is a different way to answer the equation 3x - y = 5. But, the first part of how you described it is a bit off.

Here is how you would explain it:

What you would do is Add y to both sides, then subtract 5 from both sides.

3x = y + 5

3x - 5 = y (aka y  = 3x - 5)

The other way to solve:

3x - y = 5

Subtract 3x from both sides.

-y = -3x + 5

Now divide both sides by -1.

-1(-y) = -1(-3x + 5)

y = 3x - 5

If you want to solve for x, you would:

Add y to both sides of the equation.

3x = 5 + y

Then divide each side by 3.

x = [tex]\frac{1}{3}y[/tex] + [tex]\frac{5}{3}[/tex]

#teamtrees #PAW (Plant And Water)

centroid of triangle with vertices (0,0) ,(3,0) & (0,-3) is……. [ ]

a) (1,1) b) (1,-1) c) (-1,1) d) (0,0)​

Answers

Answer:

b

Step-by-step explanation:

centroid

x=(x1+x2+x3)/3=(0+3+0)/3=3/3=1

y=(y1+y2+y3)/3=(0+0-3)/3=-3/3=-1

centroid =(1,-1)

Di are you alright? I noticed the fact that you aren't online from 7th April or so-

A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the product of their ages is 675.
write down the equations connecting their ages and solve the equations in order to find the ages of the woman and her son. WAEC​

Answers

Step-by-step explanation:

Given

[tex]q + p = 2(q - p)[/tex]

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

[tex]qp = 675[/tex]

as equation 2.

Using equation 2,

[tex]q = \frac{675}{p} [/tex]

substitute this equation into equation 1.

[tex] \frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15[/tex]

Substitute P into equation 2.

[tex]15q = 675 \\ q = 675 \div 15 \\ = 45[/tex]

Therefore the woman is 45 years old while her son is 15 years old.

Shawna is a member of the swim team. She can swim 3 laps in 3 minutes
and 21 seconds. If Shawna swims at the same pace, how long would it take
her to swim 8 laps?

Answers

Answer:

8 minutes and 53 seconds

Answer:

8 minutes and  56 seconds

Step-by-step explanation:

3 laps ⇒ 3 minutes and 21 seconds        given1 lap ⇒ 1 minute and 7 laps                       divide by 3 8 laps ⇒ 8 minutes and  56 seconds       multiply by 8              

The length of a track around a field is 1/4 miles. You run 3 1/2 times
around the track. How far did you run?

Answers

Answer: 7/8 of a mile

A random sample of adults was surveyed about whether they shop online. Of the 90 adults surveyed, 72 stated they shop online. What is the 99% confidence interval for p, the proportion of adults who shop online?

Find the z-table here.

(0.72, 0.88)
(0.70, 0.90)
(0.69, 0.91)
(0.68, 0.92)

Answers

Answer:

(0.69, 0.91)

Step-by-step explanation:

Hope this helps!

The 99% confidence interval for p is (0.698, 0.902), which is closest to option (B) (0.70, 0.90).

What is a confidence interval?

A confidence interval is a range of values that are constrained by the statistic's mean and that are likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

To find the 99% confidence interval for the proportion of adults who shop online, we need to use the formula:

CI = p ± z√((p(1-p))/n)

where p is the sample proportion (72/90 = 0.8), n is the sample size (90), and z is the z-score corresponding to the 99% confidence level (from the z-table, this is 2.576).

Substituting the values, we get:

CI = 0.8 ± 2.576√((0.8(1-0.8))/90)

Simplifying, we get:

CI = 0.8 ± 0.102

Therefore, the 99% confidence interval for p is (0.698, 0.902).

To learn more about the confidence interval;

https://brainly.com/question/24131141

#SPJ7

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