Use △XYZ, in which ∠X is a right angle and tanY=815.

Use XYZ, In Which X Is A Right Angle And TanY=815.

Answers

Answer 1

Answer:

8/17

Step-by-step explanation:

The correct and complete question is:

Use △XYZ, in which ∠X is a right angle and tanY=8/15. What is the ratio for sinY?

From definition:

tan(Y) = opposite/adjacent

From the graph and the question:

tan(Y) = XZ/XY = 8/15

Then:

XZ = 8 and XY = 15. Using pytaghorean theorem:

XZ² + XY² = YZ²

8² + 15² = YZ²

√289 = YZ

17 = YZ

From definition:

sin(Y) = opposite/hypotenuse

From the graph:

sin(Y) = XZ/YZ

sin(Y)= 8/17


Related Questions

Wyatt’s eye-level height is 120 ft above sea level, and Shawn’s eye-level height is 270 ft above sea level. How much farther can Shawn see to the horizon? Use the formula d = StartRoot StartFraction 3 h Over 2 EndFraction EndRoot, h greater-than-or-equal-to 0 with d being the distance they can see in miles and h being their eye-level height in feet.

StartRoot 5 EndRoot mi

3 StartRoot 5 EndRoot mi

15 StartRoot 5 EndRoot mi

45 StartRoot 5 EndRoot mi

Answers

Answer:

The answer is 3√5 mi.

The formula is: d = √(3h/2)

Wyatt:

h = 120 ft

d = √(3 * 120/2) = √180 = √(36 * 5) = √36 * √5 = 6√5 mi

Shawn:

h = 270 ft

d = √(3 * 270/2) = √405 = √(81 * 5) = √81 * √5 = 9√5 mi

How much farther can Shawn see to the horizon?

Shawn - Wyatt = 9√5 - 6√5 = 3√5 mi

Answer:

its b

Step-by-step explanation:

i just did it

The total sales made by a salesperson was $25,000 after 3 months and $68,000
after 23 months. Predict the total sales after 41 months.
$ 106,742
$106,670
$106,800
$106,700

Answers

Answer: $106,700

Step-by-step explanation:

y = money amount

x = months

Slope (m) = change in y / change in x = (68000-25000) /(23-3)= 43,000/20= 2,150

Now, we have to write the equation in the form y =mx+b, using one of the points:

25000= 2,150(3) +b

25,000= 6,450+b

25,000-6,450=b

18,550=b

So, the final equation is:

y = 2,150x+18,550

So, when x=41 months

y = 2,150(41)+18,550

y= $106,700

Feel free to ask for more if needed or if you did not understand something.

Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digits and the same letter always represents the same digit. What is the smallest whole number that can be the value of this expression?

Answers

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

What is the slope intercept equation of a line that has a slope of -2 and a y-intercept of (0, 3)​

Answers

Answer:

y = -2 x +3

Step-by-step explanation:

If the slope must be "-2", then the slope intercept form of the line should look like;

y = m x + b

with the slope "m" = -2

That is:

y = -2 x + b

Now the constant "b" can be found using the info on the value of the y-intercept which is (0, 3), so when x = 0, the value of the y-coordinate must be 3. By imposing this condition into the equation, we can find the value of "b":

3 = -2 (0) + b

3 = b

Then the equation becomes:

y = -2 x +3

The university theater uses a combination of one letter (A – Z) and two digits (0 – 9) to identify their reserved seats. How many reserved seats are possible using a combination of one letter followed by two digits?

1.) 2600

2.) 234

3.) 260

4.) 2106

Answers

Answer:

Correct option: 1) 2600

Step-by-step explanation:

The letter has a total of 26 possible values (from 'a' to 'z'), and each digit has a total of 10 possible values (from 0 to 9).

So, to find the number of reserved seats possible, we just need to multiply the number of possible values of each letter and digit.

We have one letter and two digits, so we have:

26 * 10 * 10 = 2600 possible reserved seats

Correct option: 1)

Answer:

1.) 2,600

Step-by-step explanation:

Keenan is making a model of a stadium using a scale in which 0.25 centimeters equals 10 feet. If the actual length of the stadium is 300 feet, how long is the model, in centimeters? Your answer can be exact or rounded to two decimal places. the answer is not (75,1200, or 9144.0 cm)

Answers

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

I WILL GIVE BRAINLEIST TO WHOEVER ANSWERS THIS FIRST
Is the value of 9−y twice as much as the value of y?

Answers

Answer:

I think it is greater because when you put the y alone it has the value of 1.

So, 9-y it will always be greater. It can be double and triple as well. I hope this helps you.

Step-by-step explanation:

I have to complete the proofs and explain each one please help WILL MARK BRAINLIEST

Answers

Answer:

Step-by

Q1

PROOF

consider triangle ACT and ARD

CA=CA [GIVEN]

angle 1 = angle 2 [GIVEN]

angle CAT = angle  RAD [OPPOSITE ANGLES]

hence  ,triangle ACT is congruent to triangle  ARD [by SAS]

hence , angle 3 = angle 4 [ by cpct]

Q2

PROOF

consider triangle TSU and TVU

TU =TU [commn]

UV = US [given]

angle TUS = angle TUV [ given]

hence, triangle TSU congruent to TVU [ by SAS]

hence, VT = ST

Q3

PROOF

consider triangle ABC and ADC

AC = AC [ common]

angle ACB = angle ACD [given ]

angle ADC = angle ABC [ 90 degree ]

hence they are congruent [by AAS]

BC = DC  [ CPCT]

PLEASE MARK ME AS BRAINLIEST .....IT TOOK THOUSANDS OF HOURS TO TYPE ALL THESE IN COMPUTER

Can somewon please help me?

Answers

Answer:

Bobs Data: range from 2 to 8

Rosa Data range from 4 to 7

Step-by-step explanation:

The equation K = StartFraction one-half EndFractionmv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = m equals StartFraction K Over 2 v squared EndFraction.. After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by K equals StartFraction one-half EndFraction m v squared. instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.

Answers

Answer:A

Step-by-step explanation:

Answer: Letter A

Step-by-step explanation:

What is four hundred twenty-eight and forty-six hundredths written in standard form? 5th grade

Answers

428.46

400+28+.46= 428.46

Trust me if you remember what hundredths and tenths mean it will help a lot in 6-7th grade math.

PLEASEEE HELPPPPPPPjjsek

Answers

Answer:

1.777777778

Step-by-step explanation:

hope that helps!

Answer:

16/9 or 1 2/9

Step-by-step explanation:

the fraction bar means divison

Given P(E) = 0.58 and P(FE) =0.32 , find P(F/E). Round the answer to the nearest hundredth.
A 0.19
B. 0.44
C. 0.55
D. 1.81

Answers

(D) hope this helps kxjdndldjdkwpwnx
I got D 1.81 so try it

You have 24 homework problems for math class. You finish of them during some
extra time in class. If you complete 4 more problems while waiting for the bus, what
fraction of the 24 problems will remain?
دو آدم
8
24

Answers

Answer:

Step-by-step explanation:

If you were to complete 4 out of the 24 current homework problems, then I can say that you'd have 5/6 of the problems remaining. This is because 24 divided by 4 is 6, so completing 4 questions counts as completing 1/5 of the total amount of work present. If you want to use whole numbers instead of fractions, you would have completed 4 out of 24 questions and would have 20 remaining

Draw an angle and then draw the opposite ray to one of its sides, to form a linear pair. Find the measure of the angle formed by the angle bisector of the original angle and the opposite ray if the original angle measures 50°, 90°, and 150°. 1. If the angle equals 50°, then the measurement of the required angle is ? 2. If the angle equals 90°, then the measurement of the required angle is ? 3. If the angle equals 150°, then the measurement of the required angle is ?

Answers

Answer:

(1)155 degrees

(2)135 degrees

(3)105 degrees

Step-by-step explanation:

Let the original angle [tex]= \theta[/tex]

Angle Bisector of the original angle = [tex]\dfrac{ \theta}{2}[/tex]

If the other angle forms a linear pair, then:

The other angle, [tex]\beta=180^\circ-\theta[/tex]

Therefore, the measure of the angle formed by the angle bisector of the original angle and the opposite ray is:

[tex]\dfrac{ \theta}{2}+180^\circ-\theta\\=180^\circ-\dfrac{ \theta}{2}[/tex]

(1)If the angle equals 50°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 50}{2}\\=180^\circ-25^\circ\\=155^\circ[/tex]

(2)If the angle equals 90°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 90}{2}\\=180^\circ-45^\circ\\=135^\circ[/tex]

{3)If the angle equals 150°

Then the measurement of the required angle

[tex]=180^\circ-\dfrac{ 150}{2}\\=180^\circ-75^\circ\\=105^\circ[/tex]

See attachment for an example of the graphical solution.

Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z
13 cm
x
Y
4 cm​

Answers

Answer:

72.9°

solution,

[tex]tan \: y \: = \frac{13}{4} \\ y = {tan}^{ - 1} ( \frac{13}{4} ) \\ y = 72.9[/tex]

hope this helps ....

Good luck on your assignment...

By applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

What are Trigonometric identities ?

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

We have given that x=4cm , y=4cm and z=13cm.

By applying trigonometry of tan which is perpendicular upon base i.e. P/B

A triangle would be constructed , base would be z=13cm

and x and y will define the other 2 lines of 4 cm each.

tan Ф = perpendicular/ base,

tan Ф = 13/4

Ф = tan [tex]^{-1}[/tex] (3.25cm)

Ф = 72.9°

Therefore, by applying trigonometry ratio, the measure of angle XYZ in triangle XYZ, to 1 decimal place is 72.9°.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Solve the following system of equations. What is one x-value of a solution?
f(x) = x2 + 4x + 10 g(x) = -32x - 40

a. x = 5

b. x = -5

c. x = 6

d. x = 2

Answers

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

x² + 36x + 50 = 0

Using quadratic formula:

[tex]x = \frac{-b \pm \sqrt{b^2-4(a)(c)}}{2(a)} [/tex]

[tex]x = \frac{-36 \pm \sqrt{36^2-4(1)(50)}}{2(1)} [/tex]

[tex]x = \frac{-36 \pm 33.11}{2} [/tex]

[tex]x_1 = \frac{-36 + 33.11}{2} [/tex]

[tex]x_1 = -1.445 [/tex]

[tex]x_2 = \frac{-36 - 33.11}{2} [/tex]

[tex]x_2 = -34.555[/tex]

|25 POINTS| Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the length of the base is increased to 15 meters, what is the difference in the surface area between the new pyramid and the old pyramid?
125 meters squared.
525 meters squared.
600 meters squared.
400 meters squared.

Answers

Answer:

125 meters squared

Step-by-step explanation:

Surface area of initial pyramid:

A= 10²+4*1/2*10*15= 400 m²

Surface area of extended pyramid:

A= 10*15+2*1/2*15*15+2*1/2*10*15= 525 m²

The difference is:

525- 400= 125 m²

Please help lots of points

Answers

Answer:

directrix

Step-by-step explanation:

The parabola is equidistant from the line called the directrix

and from a point called the focus

Answer:

The answer is B.

Which conversion requires multiplication? A deciliter- liter B liter- kiloliter C kiloliter- liter D milliliter - centiliter

Answers

Answer:C

Step-by-step explanation: because multiplication is only follow when you convert greater unit to smaller unit which in this case is kilolitres to liters

PLEASE MARK ME AS BRAINLIEST

Answer:

C

Step-by-step explanation:

So the other person can be brainleist

Find the product Enter the answer below

Answers

Answer:

56/33

Step-by-step explanation:

8/11 * 7/3

Multiply the numerator

8*7 = 56

Multiply the denominator

11*3 = 33

Put the numerator over the denominator

56/33

Answer:

56/33

Step-by-step explanation:

[tex]\frac{8}{11} *\frac{7}{3}[/tex]   Original equation

[tex]\frac{8*7}{11*3}[/tex]

[tex]\frac{56}{33}[/tex]   Simplify

In the triangles, BC 2DE and AC FE.
If mZc is greater than mZE, then AB is
DF
MA
O congruent to
o longer than
shorter than
the same length as
A
CF
E

Answers

The same as the second answer as the word congruent means to be identical so using this we can infer it’s the same as e I think

Given f(x) = 2x – 3 and g(x) = x2, find f(g(3)).

Answers

Answer:

First find f(g(x))

= 2(x²)-3

= 2x² -3

f(g(3)) = 2(3)² -3

= 2(9) - 3

= 18 - 3

= 15

Hope this helps.

Answer:

f(x)=6 and g(x)=6

Step-by-step explanation:

This is going to look crazy but try to follow along. I did a similar equation and got the answer correct.

1. find g(x)

2. x=3*  

3.   g(3)=3·2

4. x=6

Wherever there is an x put the number 3.....ONLY for g(x)

* ONLY in g(x)

4. Solve for f(x)

Since the equation for f(x) is f(g(3)) and the answer in g(x) was 6 wherever there is an x in the equation f(x)=2x-3 put the number 6

5. f(6)=2·6-3

6.f(x)=2·3

7.f(x)=6

What is the slope of the line shown below?

(3, 8)

(1, -2)

Answers

[tex]answer \\ 5 \\ solution \\ let \: the \: points \: be \: a \: and \: b \\ a(3 , 8) = > (x1 , y1) \\ b(1 , - 2) = > (x2 , y2) \\ slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: = \frac{ - 2 - 8}{1 - 3} \\ \: \: \: \: \: = \frac{ - 10}{ - 2} \\ \: \: \: \: \: \: = 5 \\ hope \: it \: helps[/tex]

To find the slope of the line, I will be showing you the table method.

To find the slope of the line using the table method,

we start by making a table for our ordered pairs.

We will put the x values in the left column

and the y values in the right column.

Our first ordered pair is (3, 8), so we put a

3 in the x column and a 8 in the y column.

Our second ordered pair is (1, -2), so we put a

1 in the x column and a -2 in the y column.

Next, remember that the slope or m, is always equal to

the rate of change or the change in y over the change in x.

Using our table, we can see that the y values

go from 8 to -2 so the change in y is -10.

The x values go from 3 to 1 so the change in x is 2.

Therefore, the rate of change, or the change in y

over the change in x is -10/2 which reduces to 5.

This means that the slope is also equal to 5.

Ben is 4 times as old as Ishaan. 6 years ago, Ben was 6 times as old as Ishaan. How old is Ishaan?

Answers

Answer:

15 years old.

Ishaan is 15 years old.

Solution,

Let the age of Ben be X and ishaan be y.

Now,

X=4y

Six years ago,

[tex]x - 6 = 6(y - 6) \\ or \: x - 6 = 6y - 36 \\ or \: x - 6y = - 36 + 6 \\ or \: x - 6y = - 30[/tex]

Put the value of X

i.e X=4y

[tex]or \: 4y - 6y = - 30 \\ or \: - 2y = - 30 \\ or \: y = \frac{ - 30}{ - 2} \\ y = 15[/tex]

hope this helps..

Good luck on your assignment....

Start by setting up a chart based on age now

and age 6 years ago for Ben and Ishaan.

Since Ben is 4 times as old as Ishaan, use x to represent

Ishaan's age now and 4x to represent Ben's age now.

Ishaan's age 6 years ago would then be x - 6 and Ben's

age 6 years ago would be 4x - 6.

Now that your chart is filled out, read through the

second sentence of the problem to setup the equation.

Since the second sentence starts with 6 years ago,

we're going to be using the information in the

second column of our chart to setup the equation.

So 13 years ago, Ben, 4x - 6, was, equals,

6 times as old as Ishaan, 6(x - 6).

So we have the equation 4x - 6 = 6(x - 6).

Solving from here, we find that x = 15.

Steps are attache din the image provided.

Going back up to the chart, x represents Ishaan's age now.

So Ishaan is 15 years old now.

In 2010, Rafik bought a house. In 2015, Rafik sold the house to Bianca. He made a 20% profit on the sale. In 2019, Bianca sold the house for £193800. She made a 5% loss. Work out how much Rafik paid for the house in 2010.

Answers

Answer:

£170000

Step-by-step explanation:

In 2010, Rafik bought a house. Let us assume Rafik bought the house for $x.  In 2015, Rafik sold the house to Bianca and made 20% profit. 20% profit = 20% of x = 0.2 × x = 0.2x. Therefore Rafik sold the house to Bianca at x + 0.2x = 1.2x. Bianca bought the house at 1.2x

The house was sold by Bianca at 5% loss in 2019. 5% loss = 0.05(1.2x) = 0.06x

Therefore the house was sold by Bianca at 1.2x - 0.06x = 1.14x. Since Bianca sold the house at £193800.

⇒ 1.14x = 193800

x = 193800/1.14

x = £170000

Rafik paid £170000 for the house in 2010

PLEASE HELP Draw the polygon whose vertices are (-2, 3), (-2, -3) (3, 1) and ( 3, 7) ,

Answers

Answer:

Parallelogram

Step-by-step explanation:

When I graphed these points on a coordinate plane and connect the points, I see a parallelogram.

PLZ MARK BRAINLIEST!!!

Find the student's error in solving the following
inequality.
31 <-5x + 6
25 <-5x
-5

Answers

They need to switch the sign to switch the sign at the end. The answer should be -5>x

The value of y when x=7

Answers

Answer:

y = 49

Step-by-step explanation:

y ∝ x²

=> y = kx²

Where k is the constant of proportionality

k = 1 (We've found this out in the previous question)

Now,

y = ? when x = 7

The above equation becomes:

=> y = (1)(7)²

=> y = (1)(49)

=> y = 49

What is 39,182 written in expanded form

Answers

Answer:

39,182 in expanded form:

Step-by-step explanation:

30,000 + 9,000 + 100 + 80 + 2

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How should the team proceed Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following.y 0 1 2 3p(y) 0.50 0.25 0.20 0.05A) Compute E(Y).B) Suppose an individual with Y violations incurs a surcharge of $110Y2. Calculate the expected amount of the surcharg. Which of these statements is true? A. There was a causal relationship between WW2 and a worldwide outbreak of disease. B. There was a causal relationship between submarine warfare and new shipping technology. C. There was a causal relationship between economics chaos and increased food production. D. There was a causal relationship between medical advancements and the influenza outbreak. 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He runs his business out of his garage, which he got converted into an office space. Martin, who had previously worked as a house painter in another company had good know-how of how to run a house-painting business. After a storm destroyed public properties in his neighboring town, he contracted with the mayor of that town to fulfill any painting jobs required during the town's reconstruction. In order to meet this demand and expand business, he hired more house painters.According to the BRIE model, which of the following is an example of Martin's resource competency?A. Martin hiring more house painters to meet demandB. Martin contracting with the mayor to help paint during reconstructionC. Martin setting up the business's office in his garageD. Martin having prior knowledge of the house-painting business Solve: g^2x + 1 = g^3x 2 Enter your answer in the provided box. 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