Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Use The Law Of Sines To Find The Length Of Side C.Cbe41.593742CDO A. 36.64B. 54.94C. 3737 36

Answers

Answer 1

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    


Related Questions

Suzy is shopping at a book sale. The table shows prices for paperbacks.

A two-column table with 3 rows. Column 1 is labeled Books (x) with entries 4, 6, 8. Column 2 is labeled Cost (y) with entries 6, 9, 12.

These points are graphed. Notice the pattern of the points. What is the rate?

The cost is $
for every 2 books.

Answers

Answer:

3 bucks

Step-by-step explanation:

The rate of change is 2 and the cost of two books is $3.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + C = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, Suzy is shopping at a book sale. The table shows prices for paperbacks.

The points are, (4, 6), (6, 8), and (8, 12).

Slope(m) = (12 - 8)/(8 - 6).

Slope(m) = 4/2.

Slope(m) = 2.

Now, 4 books cost $6, hence 2 books cost $3.

learn more about lines and slopes here :

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1. What side in the second trapezoid corresponds to CD?
choices:
RU
ST
TU
RS

2. What angle in the second trapezoid corresponds to B?

choices:
T
S
U
R



Answers

Answer:

1...ut

2..s

Step-by-step explanation:

you can see that the trapezium ABCD is talented than you are St trapezium so then from the ABCD trapezium Appa what then you can see a De is parallel to you are and ab is parallel to AC and DC is parallel parallel to T s and a De is parallel to ur

Answer:

1. UT

2. S

Step-by-step explanation:

1. parallel sides of the first trapezoid are DC and AB, the last being the longest

so the answer is

UT, which is shorter base

2. B is the right angle

so S is the one on the second trapezoid

(x+4)−(x−1)
HELPPPP
5edrfytguyhidiftougyih;fygvjbmncifyykgvjb mnr6o7ftuglh.bjnhugiyfltudkrysi6d7tfugiy;h/junk;lk

Answers

Answer:

There is no plug-in for x.

X=0.

(0+4) - (0-1) = [(4 - (-1)] = 5.

Answer:

5

Step-by-step explanation:

(x+4) -x +1

x - x = 0

5

In the diagram of circle A, what is the measure of ZXYZ?
35
70°
75
140

Answers

The solution is, the value is 35 degrees, is the measure of ZXYZ.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram, we get,

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The solution is, the value is 35 degrees, is the measure of ZXYZ.

To learn more on angle click:

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Line segments AB and BC are tangents to Circle P. What is the value of x?
a.117
b.73
c.107
d.146

Answers

Answer:

c. 107°

Step-by-step explanation:

In the figure attached, Circle P, segments AB and BC, and angle x are shown.

From circumscribed angle theorem, we know that angle ABC and angle x are supplementary, then:

x + 73° = 180°

x = 180° - 73°

x = 107°

Jared makes $133 per hour, but he loses 20% of his pay for a day if his boss catches him on the internet. If Jared works for 8 hours a day for 5 days, and his boss only catches him on the internet once how much money will he make in the five days?

Answers

Answer:

$5107.20

Step-by-step explanation:

His pay after he was caught once

133x 8=1064

1064x 20% = 212.8

1064-212.8=851.2

1064x 4= 4256

4256+ 851.2=5107.2

What is the exponential form of log4 16 = 2?

Answers

Explenation:

Logarithm

log

b

x

is the exponent of a power with base

b

which gives the number under

log

sign (

x

).

In this example we can say that:

log

4

16

=

2

because:

4

2

=

16

Step-by-step explanation:

what is

A, 80cm : 2.5

B,4kg : 1600g

C,5m : 500m

d, 800g : 2kg

f, 5days : 5weeks

h,40sec : 1min

j, 800ml : 1l

l, 10cm : 80cm

pls tell me the answers i will give 5stars

Answers

Answer:

......

Step-by-step explanation:

b)4kg:1600g

convert 4kg to grams

4000g:1600g

then divide

=5g:2g

then convert 5g into kg

=0.005kg:2g

f)5 days:5 weeks

multiply 5weeks by 7 u will get 35

5days :35dys then divide by 5

1:7days

=1 day:1 week

h)40 sec:1 min

40 sec:60 sec

then divide both of them by 2

2 sec:3 sec

then take 3 ÷60=0.05 min

=2 sec:0.05 min

HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

[tex]-2\frac{1}{4}=\frac{-9}{4}\\\\-1\frac{1}{2}=\frac{-3}{2}\\\\[/tex]

-2 1/4  ÷ -1 1/2 =

[tex]\frac{-9}{4}*\frac{-2}{3}=\frac{3}{2}*\frac{1}{1}\\\\=\frac{3}{2}\\\\=1\frac{1}{2}[/tex]

6 cm
4 cm
3 cm
12 cm
What’s the purple? Areas

Answers

Answer:

36 cm

Step-by-step explanation:

A = b1 + b2 x h / 1/2

A = 12 + 6 x 4 / 1/2

Rudolf has a pool that has a diameter of about 24.26 mm. What is the area of the pool in terms of pi

Answers

Answer:

   = 147.1369 pi

Step-by-step explanation:

The diameter is 24.26

The radius is d/2 = 24.26/2 =12.13

The area of a circle is

A = pi r^2

   = pi (12.13)^2

   = 147.1369 pi

Answer:

147.1369

Step-by-step explanation:

i think im wrong not sure. also the answer is not rounded.

Estimate a 15% tip on a dinner bill of $81.66 by first rounding the bill amount to the nearest ten dollars.​

Answers

Answer:

12 dollars

Step-by-step explanation:

Round the bill to the nearest ten dollars

81.66 rounds to 80 dollars

80 * 15%

80 *.15

12

The tip is 12 dollars

Answer:

81.66/100*115 = 93.909 rounding down to $90

Step-by-step explanation:

A blueberry bush was 13 inches tall. One year later, the bush was 25 inches tall.
Which number sentence shows how many inches the bush grew in one year?

Answers

Answer:

12 inches

Step-by-step explanation:

25-13=12

(How much it grew in the last year.)

Answer:
12 inches

Expression:
25-13

What is the solution to the equation below? Round your answer to two
decimal places
e^x = 5.9

Answers

Answer:.1.77

Step-by-step explanation:

e^x = 5.9

Take the natural logarithm of both sides

x = ln (59/10)

x = 1.77

Answer: x=1.77

Step-by-step explanation:

A P E X

need help quick plz​

Answers

I’m gonna say it’s A?

Aisha is playing a game in which she can gain or lose points on each turn. The table below
shows the points she scores on each of four turns in the game.
Aisha states that her highest score is on Turn 3, because 16 is greater than 3, 10, or 9. Use the
drop-down menus to explain Aisha's mistake.

Answers

Answer:

A score of -16 represents the lowest of points for these four turns.

The number for Aisha's highest score will be turn 2 on the number line.

That number is 10.  

Step-by-step explanation:

Since the options of the drop down menu are not included, you should choose any option similar to lowest.

Aisha's highest score was obtained in turn 2 and that is 10.

Aisha is comparing absolute terms, that is why she believes that -16 represents a good score, while in reality is the worst she got.

Ming took a cab across town. His fare was $22, and he leaves an 18%tip.
What is the total amount Ming pays the cab driver?

Answers

He payed a total of 25.96 because the tip was 3.96

Answer:

$25.96

Step-by-step explanation:

take 18% of 22, which is 3.96. Add it to 22 and that's the amount Ming payed!

A right angle is equal to how many angles

Answers

Answer:

90 degrees

A right angle is equal to 90 degrees. A line segment (AB) drawn so that it forms right angles with a line (CD).

Step-by-step explanation:

Answer:

3 angles

Step-by-step explanation:

there are 3 angles, one a right angle (90 degrees), and the other two are acute angles (45 degrees)

The figure below shows the quotient of Fraction 3 over 4 divided by Fraction 3 over 8 .

Rectangle divided into eight equal parts, where the first three-part is shaded dark representing three-eighths, the next three parts are shaded light to complete the three-fourths, and the last two parts are not shaded

The quotient is ____.

Answers

3/4 divided by 3/8 is 2
The correct answer is 2

Solve the problem in the image above

Answers

Answer:

Step-by-step explanation:

3[tex]x^{4}[/tex]

Answer: 9 √(3^x6)

Step-by-step explanation:

PLS HELP!!!!!! In a survey of 4530 U.S. adults, 87% said that they would like to donate more to charity. What is the margin of error for the survey? Round to the nearest tenth of a percent

Answers

Answer:

Margin of Error = 1.0% to the nearest tenth of a percent.

Step-by-step explanation:

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value is obtained from the z-tables at the popular confidence level of 95% and z-tables is used because the sample size, 4530, is large enough to approximate the population properties.

Critical value = 1.960

Standard error = σₓ = √[p(1-p)/n]

p = 87% = 0.87

n = sample size = 4530

σₓ = √[0.87×0.13)/4530]

= 0.0049966876

Margin of Error = 1.96 × 0.0049966876 = 0.0097935078 = 0.00979 = 0.979% = 1.0% to the nearest tenth of a percent.

Hope this Helps!!!

Todd has created the following diagram to prove the Pythagorean theorem. He drew (triangle)ABC with leg lengths a and b and hypotenuse length c. Then he drew altitude CZ to the hypotenuse. He determines that c/a=a/z and c/b=b/y. Then he determines that cx=a^2 and cy=b^2. What is the next step in proving the theorem?

Answers

Answer:

cx + cy = a² + b²

Step-by-step explanation:

Next step is adding up cx and cy:

cx + cy = a² + b²

Then followed by:

c(x+y) =  a² + b²c² =  a² + b²

Answer: cx + cy = a² + b²

Step-by-step explanation:

(-4, -5) (3, 4) Slope:



(0, -2) (5, -1) Slope:



(-5, -1) (5, -3) Slope:



(-5, -5) (-1, 5) Slope:



(-2, 0) (4, 1) Slope:
I WILL GIVE BRANLIEST

Answers

Answer    

1.M=1

2.3/5

3.(NO SOLUTION)

4.0

5.1/2 =0.5

Step-by-step explanation:

Y=mx+b

M=(Y2)+(y1)/(x2)+(x1)

1. x1  y1    x2   y2

    (-4 , -5) , (3 , 4)

Slope:

M=(4)+(-5)/(3)+(-4)

=-1/-1= 1

2. x1  y1    x2   y2

    (0 , -2) , (5, -1)

Slope:

M=(-1)+(-2)/(5)+(0)

=-3/5

3. x1  y1    x2   y2

    (-5 , -1) , (5 , -3)

Slope:

M=(-3)+(-1)/(5)+(-5)

=- 4/0=(NO SOLUTION)

4. x1  y1    x2   y2

    (-5, -5) (-1, 5)

Slope:

M=(5)+(-5)/(-1)+(-5)

= 0/-6 =0

5. x1  y1    x2   y2

    (-2, 0) (4, 1)

Slope:

M=(1)+(0)/(4)+(-2)

= 1/2 =0.5

Kim works at an ice-cream store. She wants to calculate how much ice-cream one cone can hold. If the cone is 6 inches tall and the circular opening at the top is 2.5 inches across, how much can the cone hold? Round to the nearest tenth at the end.

Answers

Answer:

The cone holds 9.8 cubic inches ice cream

Step-by-step explanation:

Height of cone = 6 inches

The circular opening at the top is 2.5 inches across

Diameter of cone = 2.5 inches

Radius of cone = [tex]\frac{2.5}{2}=1.25[/tex]

Volume of cone = [tex]\frac{1}{3} \pi r^2 h[/tex]

Volume of cone = [tex]\frac{1}{3} \times 3.14 \times 1.25^2 \times 6[/tex]

Volume of cone = [tex]9.8125 in^3[/tex]

Hence the cone holds 9.8 cubic inches ice cream.

what is the answer to:

16^3/2​

Answers

In my view the answer is 2,048

I am not sure about this answer..so if it is mistake then sorry

Answer:

[tex]16^\frac{3}{2} = 64[/tex]

Step-by-step explanation:

[tex]16^\frac{3}{2}[/tex]

Factor the number: [tex]16 = 4^2[/tex]

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

Apply exponent rule: [tex](a^b)^c=a^b^c[/tex]

[tex]\left(4^2\right)^{\frac{3}{2}}=4^{2\cdot \frac{3}{2}}=4^3[/tex]

[tex]= 4^3[/tex]

Refine:

[tex]=64[/tex]

Hope I helped, may I get brainliest and a thanks?

Thank you, have a good day! =)

which of the following are properties of the circumference of a triangle

Answers

Answer:

angle, length height

Step-by-step explanation:

The circumference of a triangle are the lengths of all three sides added together. If you ask yourself what are the properties you need to measre the lengths of a side.

The ratio of the measures of two supplementary angles is 8:4. What is the measure of
the smaller angle?

Answers

Answer:

the smaller angle = 4x = 4*15 = 60 degrees

Step-by-step explanation:

Using the unit circle find the exact value. CSC -30º =​

Answers

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]

sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus

csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2

In a club there are 10 women and 7 men. A committee of 6 women and 4 men is to be chosen. How many different ways are there to select the committee?

A) 1,680 ways
B) 27 ways
C) 7,350 ways
D) 127,008,000 ways

Answers

Answer:

c

Step-by-step explanation:

10×3×7×7×5=7350ways

which one isn’t a function ?

Answers

Answer:

D isn't a function because points intersect vertically on the graph

Step-by-step explanation:

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