In ΔXYZ, x = 940 cm, ∠Y=139° and ∠Z=20°. Find the length of z, to the nearest centimeter.

Answers

Answer 1

Answer: 897

Step-by-step explanation: \frac{a}{\sin A}=\frac{b}{\sin B}

sinA

a

=

sinB

b

From reference sheet.

\text{Find other angle:}

Find other angle:

\angle X=180-139-20=21^{\circ}

∠X=180−139−20=21

X

Y

Z

x = 940

z = ?

139°

20°

21°

\frac{z}{\sin 20}=\frac{940}{\sin 21}

sin20

z

=

sin21

940

Plug in. Opposite sides go together.

z=\frac{940\sin 20}{\sin 21} \approx 897.12 \approx 897

z=

sin21

940sin20

≈897.12≈897


Related Questions

use the pythagorean theorem to write an equation for the distance Jane's trainer bikes.​

Answers

Complete question is;

Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 16 miles south. She then runs 12 miles west. Her trainer bikes from the health club to meet jane at the end of her run. Use the pythagorean theorem to write an equation for the distance janes trainer bikes

Answer:

x = √(12² + 16²)

Step-by-step explanation:

We are told that;

She bikes from health club to South = 16 miles

From South to West = 12 miles

Her trainer bikes from the health club to meet her at the end which is west.

I have attached a diagram showing this movement in form of a triangle.

From the diagram I attached, I have depicted the distance the trainer bikes as x.

Using pythagoras theorem;

x² = 12² + 16²

x = √(12² + 16²)

Slope and Y-Intercept:
Determine the slope and y-intercept
1. y = 4x + 3 m = ____ b = _____
2. y = -5x m = ____ b = _____

Answers

Answer:

m= 4 b=3

m= -5 b= 0

Step-by-step explanation:

From the equations given that is the answer

Geometry Help!
Please only answer if you know the answer. Look at the image below to answer the question.

Be sure to show all of your work and explain your thinking.

I posted 3 of these, so if you understand it, please go and check them out.

If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!

Answers

Answer:

x = 88.76°

Step-by-step explanation:

Use the law of cosines:

cos C = (a² + b² - c²)/(2ab)

Apply to the given triangle and solve for x:

cos x = (52² + 48² - 70²)/(2*52*48)cos x = 108/4992cos x = 0.02163461538x = arccos 0.02163461538x = 88.76°

1. Solve the system of equations.
y = –3x + 4
x + 4y = –6

A. x = –2,y = –1
B. x = –2,y = 10
C. x = 2,y = –2
D. x = 3,y = –5
E. x = 4,y = –8

Answers

Answer:

c.x=2,y=-2

Step-by-step explanation:

hope this help:)

Jessica is selling books during the summer to earn money for college. She
earns a commission on
each sale but has to pay for her own expenses.
After a month of driving from neighborhood to neighborhood and walking
door-to-door, she figures out that her weekly earnings are approximately a
linear function of the number of doors she knocks on.
She writes the equation of the function like this: E(X) = 10x - 30, where x is the
number of doors she knocks on during the week and E(x) is her earnings for
the week in dollars.
Which of the following are reasonable interpretations of the y-intercept of
Jessica's function?
Check all that apply.
A. She can earn $10 per week even if she does not knock on any
doors.
B. She will lose $10 per week if she does not knock on any doors.
C. If she does not knock on any doors at all during the week, she will
lose $30.
D. Her expenses are $30 per week.

Answers

It’s c I just took the test and got a hundred

identify the transformation shown by the two lines on the graph as a dilation or translation.
a) translation
b) dilation

Answers

Answer:

a) translation

Step-by-step explanation:

We have two lines on the map.

One is given by g(x) = -x + 1, and the other is f(x) = x + 1.

The change from f to g is given by:

[tex]g(x) = f(-x)[/tex]

Which represents a translation in the function.

On a Math test, a student got 25 questions correct but did not pass. On a second attempt, the student got 36 questions correct. What was the percent of increase?

Answers

Answer:

44 percent

Step-by-step explanation:

hope this helps!

could you please mark me as brainliest? thanks!

please help fast :( it’s geometry i’ll give you thanks

Answers

Answer:

5.5 cm

(Rounded up)

Convert the expression (√5)(∛5) to exponential form. Show your work

Answers

Answer:

[tex] {5}^{ \frac{5}{6}}[/tex]

Step-by-step explanation:

[tex]( \sqrt{5} )( \sqrt[3]{5}) \\ \\ = ({5}^{ \frac{1}{2} } ).({5}^{ \frac{1}{3} } ) \\ \\ = {5}^{ \frac{1}{2} + \frac{1}{3} } \\ \\ = {5}^{ \frac{3 + 2}{2 \times 3}} \\ \\ \huge \red{ \boxed{ = {5}^{ \frac{5}{6}} }}[/tex]

14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24

Answers

9514 1404 393

Answer:

  C.  12

Step-by-step explanation:

g(f(6)) = g(6 -3) = g(3) = 4(3)

g(f(6)) = 12

pls do this exponent worksheet

Answers

Please leave a thanks <3
Use Photo-math it helps snenwnnwnw

On Saturday, Luke drove 5x − 4 miles. On Sunday, he drove 3x − 3 miles. What is the difference in miles driven?
A. 2x+1
B. 2x + 7
C. 2x - 1
D. 2x - 7

PLEASE ANSWER ASAP IM TAKING THE TEST RN

Answers

5x - 3x = 2x. 4 - 3 = 1. A > 2x + 1

What the area for thos? A= 1/2 (bxh)

Answers

Answer:

A =8.75 ft^2

Step-by-step explanation:

The area of the triangle is

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

A = 1/2 ( 7 * 2.5)

A =8.75 ft^2

Answer. it fast please​

Answers

Answer:

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}[/tex]

Step-by-step explanation:

Given

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2[/tex]

Required

Solve:

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2[/tex]

Simplify 6/10

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2[/tex]

Express 9 as 3^2

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{3^2})^2[/tex]

Apply law of indices

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}[/tex]

Express as a sing;e fraction

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}[/tex]

Apply law of indices:

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5*3}[/tex]

[tex](\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}[/tex]

Work out the size of angle
X.
X Х
33°
20°
165°

Answers

Answer:

142 degrees

Step-by-step explanation:

The sum of angle in a quadrilateral is 360 degrees

33 + 20 + 165 + X =360

53 + 165 + X = 360

218 + X = 360

X = 360 - 218

X = 142

Hence the size of angle X is 142 degrees

Write these numbers in order, starting with the smallest.
0.78
0.607
5.6
0.098
4.003

Answers

Answer:

0.098-0.607-0.78-4.003-5.6

Step-by-step explanation:

The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Calculation of the listing numbers:

Since the list of the number should be like

0.78

0.607

5.6

0.098

4.003

So here we sequence the numbers from the smallest to the largest

So it should be like 0.098-0.607-0.78-4.003-5.6.

Hence, The numbers in orders that starting with the smallest should be considered as the 0.098-0.607-0.78-4.003-5.6.

Learn more about numbers here: https://brainly.com/question/24571514

How many digits are there in the​ Hindu-Arabic form of 44,350•1019​?

Answers

Answer:

25 digits

Step-by-step explanation:

add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits

Hindu-Arabic numerals are a decimal, or base-ten, place-value number system with the ten digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 as fundamental building blocks. Each digit in a number has a place value depending on its position.

What fraction of 1/2 is 1/9?

Answers

Answer: 1/4.5

Step-by-step explanation:

9/2=4.5

What is the value of
7/3 divided by 5/6

Answers

Answer:

multiply the dividend denominator by the divisor numerator to make a new denominator:

7 x 6

3 x 5

 =    

42

15

Thus, the answer to 7/3 divided by 5/6 in fraction form is:

42

15

 

To make the answer to 7/3 divided by 5/6 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

42/15 = 2.8

The answer is rounded to the nearest four decimal points if necessary.

42/15 can be simplified to 14/5.

14/5 is an improper fraction and should be written as 2 4/5.

Step-by-step explanation:

42/25 = 2 4/5 = 2.8 is the value of 7/3 divided by 5/6 .

Here, we have,

given that,

7/3 divided by 5/6

so, we get,

7/3 / 5/6

=7/3 x 6/5

multiply the dividend denominator by the divisor numerator to make a new denominator:

7 x 6/3 x 5

= 42/15

Thus, the answer to 7/3 divided by 5/6 in fraction form is:

42/15

To make the answer to 7/3 divided by 5/6 in decimal form, we simply divide the numerator by the denominator from the fraction answer above:

42/15 = 2.8

The answer is rounded to the nearest four decimal points if necessary.

42/15 can be simplified to 14/5.

14/5 is an improper fraction and should be written as 2 4/5.

Learn more about the Division here:

brainly.com/question/22357901

#SPJ6

What is 8/x^2 + 6x • 2x ?

Answers

Answer:

8+12x^4/x^2

Step-by-step explanation:

i know im right!

Answer:

16/x + 6

Step-by-step explanation:

Edge 2021

Find the product. 4 X 0.23

Answers

Answer:

0.92

Step-by-step explanation:

1

0.23

x. 4

———

0.92

Hope it helps

Find the equation of the line use exact numbers really need this plz

Answers

Answer:

Y = 4 and X = -6 ,  So the equation would be 4 + -6

Step-by-step explanation:

Look at were the line go across the numbers in Line Y and Line X this will help you understand more. And i also answered first :)

Answer:

y=3/2x+4

Step-by-step explanation:

First we find the slope.

To find the slope, we use this equation:

x2-x1/y2-y1=slope

So, we just need to pick any two points on the line.

(0, 4) and (3, 6)

3-0/6-4

3/2

The slope is 3/2.

Now, all we need to find is the B in y=3/2x+B

B is also known as the y intercept.

Since the line passes through 4 when x=0, the y intercept is 4.

So the equation is:

Y=3/2x+4

There were 60 people on bus. 40% were female. How many people were females and how many were males?

Answers

Answer:

There were 24 females and 36 men on the bus

Step-by-step explanation:

To find the amount of females on the bus you multiply the 60 passengers by 0.4 to mimic the 40% and you get 24. So there were 24 females and to find the men you simply subtract 24 and 60 to get 36

3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.


Answers

Answer:

tis is not confirmed answer

Step-by-step explanation:

comiision: 112.5%

Find the Value of X using Pythagorean theorem please round to the nearest tenth

Answers

Answer: [tex]x=\sqrt{18}[/tex]

Step-by-step explanation:

We can use Pythagorean's Theorem for the triangle on the bottom. The resulting answer will give the side length of the square.

[tex]3^2+3^2=\sqrt{18}[/tex]

If there are two boys to every three girls, what percent of the class is girls?

Answers

80% would be your answer.

Write these numbers in standard form.
seven hundred and forty thousand

Answers

Answer:

740,000

Step-by-step explanation:

that is standered form yuh

Standard form 7.4*10^5

find x please hurry hurry hurry hurry hurry hurry hurry ​

Answers

Answer:

x = 1.00872652

Step-by-step explanation:

sinx= opposite/hypotenuse

sinx= 11/13

x = 1.00872652

Hope this helps:)

Answer:

x = 1.00872652

:D

Step-by-step explanation:

The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters. Fill in the blank to write this number in scientific notation.

Answers

Answer:

4

Step-by-step explanation:

The length of a DNA nucleotide building block is about 1 nanometer, or 0.000000001 meters.  Fill in the blank to write this number in scientific notation.

×10−9

Copy this table and fill in the missing numbers 10% 30% 50% 70% 100% 75%

Answers

Answer:

20 %  40%  60% 80% 90% is the numbers you're missing.

Step-by-step explanation:

10 ,20, 30, 40, 50, 60, 70,  80, 90, 100. The numbers underlined is what you're missing and their in order. 10-100.

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