In ΔXYZ, y = 500 inches, mm∠Y=117° and mm∠Z=10°. Find the length of z, to the nearest inch.

Answers

Answer 1

if in ΔXYZ, y = 500 inches, mm∠Y=117° and mm∠Z=10° then length of z is 97.64 inches.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that ΔXYZ, y = 500 inches, mm∠Y=117° and mm∠Z=10°.

We have to find the length of z.

By using sine rule we find the length of z.

sin117/500=sin10/z

0.891/500=0.174/z

Apply cross multiplication

0.891z=0.174×500

0.891z=87

z=87/0.891

z=97.64 inches

Hence, if in ΔXYZ, y = 500 inches, mm∠Y=117° and mm∠Z=10° then length of z is 97.64 inches.

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Answer 2

Answer:

97

Step-by-step explanation:


Related Questions

A restaurant has 23 tables. Some of the tables seat 4 persons and the rest seat two persons. In all, 76 persons can be seated at once. How many tables of each kind are there?

Answers

Answer:

15 tables with 4 seats and 8 tables with 2 seats.

Step-by-step explanation:

x = 4 seated tables

y = 2 seated tables

x + y = 23

4x + 2y = 76

Multiply first equation by -2 to cancel y's:

-2x - 2y = -46

4x + 2y = 76

2x = 30

x = 30 / 2

x = 15

And we said 23 tables so:

23 - 15 = 8

x = 15

y = 8

After 4 tests,Alex average score was 65.After the 5th test his average score increased by 5 .How much did he score in his 5th test?​

Answers

Answer:

329 вот правильный ответ

A hot dog bun (volume 240cm3) with a density of 0.15g/cm3 is crushed in a picnic cooler into a volume of 195cm3. What is the density of the bun?

Answers

Answer:

weight of hot dog bun = 240 cm^3 x 0.15 g/cm^3 = 36 gram

36 gm / 195 cm^3 = 0.185 g/cm^3

Step-by-step explanation:

Density is mass/volume. The mass of the bun never changes, only its volume. Solve for the original mass.

Now think about it logically. Should the bun be more sense now that it has been crushed? Of course! The math proves it.

      Therefore the answer is: 0.185 g/cm^3

if ON=7x-5, LM= 6x+3, NM =x-4, and OL =2y+5, find the value of x and y given that LMNO is a parallelogram

Answers

Answer:

x=8, y=-1/2

Step-by-step explanation:

parallelogram's opposite sides are equal.

LM=ON, NM=OL

6x+3=7x-5, solve for x, x=8

x-4=2y+5

y=-1/2

Sapna and Robbie have some biscuits.
Altogether they have 14 biscuits.
Sapna has 2 more biscuits than Robbie.
How many biscuits do Sapna and Robbie each have?

Answers

Socratic < it’ll have the answer fs

Use substitution to solve the linear system of equations.
2y = X - 6
x=9
(9, 24)
(9, 3/2)
(3/2, 9)
(9,9)

Answers

Answer:

2y=X-6

×=9

(9, 3/2)

Step-by-step explanation:

Hope this help!

Answer: 65

Step-by-step explanation: 65

Who ever gets this right gets branliest

Answers

Answer:

2 1/2

Step-by-step explanation:

Answer: 2 1/2

Step-by-step explanation: Its positive and lands between 2 and 3 halfway

7/8 percent equivalent to the nearest whole percent?

Answers

Answer:

88%

Step-by-step explanation:

7/8 = 87.5%

The flux hotel recently installed a triangular pool as shown below. If the hotel manager needs to order a cover for the pool and the cost is $35 per square foot, how much can he expect to spend?

Answers

Answer:

[tex]Total = \$6545[/tex]

Step-by-step explanation:

Given

[tex]Base = 17ft[/tex]

[tex]Height = 22ft[/tex]

[tex]Slant\ Height = 32ft[/tex]

[tex]Cost = \$35[/tex] per square ft

Required

Determine the expected spending

First, calculate the area of the pool.

[tex]Area = \frac{1}{2} * Base * Height[/tex]

[tex]Area = \frac{1}{2} * 17ft * 22ft[/tex]

[tex]Area = 17ft * 11ft[/tex]

[tex]Area = 187ft^s[/tex]

The total cost is:

[tex]Total = Cost * Area[/tex]

[tex]Total = 35 * 187[/tex]

[tex]Total = \$6545[/tex]

WHOEVER HELPS AND GETS IT RIGHT I WILL GIVE BRAINLY!!!!!

Answers

Answer:

3

Step-by-step explanation:

Option 3 I believe is correct

Ratna , who is in Mumbai , telephones her brother Ravi in Ahmedabad and speaks for 89 seconds . She is charged Rs 1.20 for every 16 seconds or part of 16 seconds . There is also a service charge of Rs 2 / - . Study the bill carefully . How much will it cost Ratna if she speaks to Ravi for 3 minutes ?

A) 14.40
B) 16.40
C) 18.40
D) 20.40

Please give explanation of your answer , please .

Answers

Answer:

16.40

Step-by-step explanation:

3 min-> 180 s

180÷16≈11

11+1=12

12x1.20=14.40

14.40 + 2 = 16.40

△XYZ is similar to △XVW. Enter the congruence statements that must be true.

The congruence statements that must be true are

Answers

Answer:

angle X is congruent to angle X

angle Y is congruent to angle V

angle Z is congruent to angle W

Step-by-step explanation:

−3x−8y=−8
y=2−x

yes or no

Answers

Answer:

No

Step-by-step explanation:

-3x-8y=-8

3x+8y=8 (multiply all terms by -1)

8y=8-3x (take 3x from both sides)

y=1-(3/8)x (divide each term by 8)

1-(3/8)x ≠ 2-x

cat este ¾-⅝?? caci eu nu stiu ​

Answers

Answer:

1/8 hope this help :)

Answer:

1/8 or 0.125

Step-by-step explanation: Key || · equals multiplication

3/4  -  5/8  =  3 · 2/4 · 2  -  5/8  =  6/8  -  5/8  =  6 - 5/8 = 1/8

Each square in the grid is a 1 x 1 centimeter square.
What is the area of the shape?

Answers

8square centimeters

Step-by-step explanation:

1 square is 1cm2. theres 8 squares so 8cm2

Two ships leave port at the same time. One travels north at 70 knots (that is, 70 nautical miles per hour), and the other west at 70 knots. The distance between the ships increases at a constant rate. At what rate is the distance between the two ships increasing

Answers

Answer:

99miles is more likely correct

or 114miles as knots is usually higher mileage

Step-by-step explanation:

70^2 + 70^2 = c^2

sqrt 4900 + sqrt 4900 = c^2

sq rt 9800 = c^2 = 98.9949494

99 x 1.1507794480225 = 113.927165 = 114miles if converted to 80.6m/ph

70 Knots is equivalent to 80.554561361578 Miles/Hour. How to convert from Knots to Miles/Hour The conversion factor from Knots to Miles/Hour is 1.1507794480225. To find out how many Knots in Miles/Hour, multiply by the conversion factor or use the Velocity converter.

A piece of fabric is 2 yards long. The fabric is cut into 24 pieces of equal length.

How long is each piece?

2 inches
3 inches
4 inches
6 inches

Answers

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

8.15 = e + 6* the answer would be E=2.15 right if it’s not plz correct me if I’m wrong

Answers

I think his -4 because the E represents 2.5

Find the Area Please​

Answers

Answer:

The area of this shape is super close/equal to 18.283 [tex]m^{2}[/tex]

Step-by-step explanation:

The area of this shape will be equal to the sum of the area of the trapezoid with the height being 4m and parallel lines being 2m and 4m long,  and the area of the semi-circle with the radius of 2m. And so we get...

Let "A" be the total area of this shape, then...

[tex]A = \frac{(a + b)h}{2} +[/tex] π[tex]r^{2}[/tex]/2

[tex]A = \frac{(2 + 6)4}{2} +[/tex]  π [tex]2^{2}[/tex]/2

[tex]A[/tex] ≈ 12 + 6.283

A ≈ 18.283 [tex]m^{2}[/tex]

What is 643 divided by 8.4?

Answers

643 divided by 8.4 = 76.5
Or if you round it to one decimal place 77 is the answer

Hi there!

643*8.4=76.5476190476

please help it’s due!

Answers

Answer:

....m....................................

THE ANSWER IS: 42.6 units

i found the lengths of FE and FD by using the pythagorean theorem

then added all three lengths together to get 42.6

After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:

Bumper Cars:

6 minutes: 8 tickets

8 minutes:12 tickets

Which one gives you more time for your money?

Answers

Answer:

The option of 6 minutes with 8 tickets given more time for the money.

Step-by-step explanation:

Which one gives you more time for your money?

We have to find the time per ticket, which is the number of minutes divided by the number of tickets.

6 minutes: 8 tickets

6/8 = 0.(60/8) = 0.75 minutes per ticket.

8 minutes:12 tickets

8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.

So the option of 6 minutes with 8 tickets given more time for the money.

Which expression represents the distance between the points (11, 4) and (5,8)?

Answers

Answer:

[tex]\displaystyle d = 2\sqrt{13}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (11, 4) → x₁ = 11, y₁ = 4

Point (5, 8) → x₂ = 5, y₂ = 8

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(5-11)^2+(8-4)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                 [tex]\displaystyle d = \sqrt{(-6)^2+(4)^2}[/tex][√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{36+16}[/tex][√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{52}[/tex][√Radical] Simplify:                                                                                         [tex]\displaystyle d = 2\sqrt{13}[/tex]

In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice

Answers

Answer:

The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %

Step-by-step explanation:

We will use binomial theorem here

[tex]C_{n,k}p^k(p')^{n-k}[/tex]

Substituting the available values in above equation, we get

[tex]C_{5,2} * \frac{1}{6}^2*\frac{5}{6}^3[/tex]

[tex]0.1608[/tex]

OR

The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %

I need to know the probability of a yellow marble not being drawn at all.

Answers

Answer:

9/13

Step-by-step explanation:

Bill paid $45in tax on a laptop that cost $500. What percent sales tax did Bill pay?

Answers

Answer:

9%

Step-by-step explanation:

9% of 500 is 45

9% of 400 is 45 is the answer is 9%

please help me thank you in advance!

Answers

Answer:

First option: (x+9)^2=81

Step-by-step explanation:

It has the same solution

a number which is now a rattional number is a​

Answers

Answer:

??? Incomplete sentence

Step-by-step explanation:

Mark buys $65 worth of of building supplies. He uses a 25% off coupon. What will be the new price?

Answers

Answer:

Step-by-step explanation:

65(1-25/100)

65(75/100)

65(.75)

$48.75

Answer is $48.75. Since 25% is only the coupon, you could make it easier by multiplying 75% or .75.

Determine whether the following statements are true and give an explanation or counterexample. If f is not one-to-one on the interval [a, b], then the are of the surface generated when the graph of f on [a, b] is revolved about the x-axis is not defined.

Answers

Answer:

Step-by-step explanation:

The missing equation is:

[tex]S = \int ^b_a 2 \pi f(y) \sqrt{1 + f' (y)^2 } \ dy[/tex]

Suppose f = nonnegative function whose first derivative is within (a,b) and it is continuous, Then the area of the surface generated is revolved about the x-axis:

The area of the surface revolution is:

[tex]S = \int ^b_a 2 \pi f(x) \sqrt{1 + f' (x)^2 } \ dx[/tex]

So; if  [tex]x = g(y)[/tex] for [tex]y \ \varepsilon \ [c,d][/tex]

Then; substituting a with c and b with d; f(x) also with g(y) and dx with dy;

Then;

[tex]S = \int ^d_c 2 \pi g(y) \sqrt{1 + g' (y)^2 } \ dy[/tex]

SInce;

[tex]g(y) \ne f(y)[/tex]; Then the statement is false.

Provided that the semicircle [tex]y = \sqrt{1-x^2}[/tex] isn't on [tex][-1,1][/tex] interval.

Then, the solid generated by the revolution about the x-axis is a sphere.

However, the surface is well defined and the statement is false.

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