Find all the missing sides and angles (picture attached)

Find All The Missing Sides And Angles (picture Attached)

Answers

Answer 1

Answer:

[tex]\boxed{x=73.74}[/tex]

[tex]\boxed{y=16.26}[/tex]

[tex]\boxed{z=25}[/tex]

Step-by-step explanation:

Hello there!

Algebra 1

The first thing we should find is the missing angle

Because this is a right triangle we can solve it using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given two legs so we plug in a and b and solve for c

[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]

so we can conclude that the missing side length ( or z) equals 25

now to solve for the angles

Trigonometry

We can solve for y using sin

sin = opposite side divided by the hypotenuse

the opposite of y is 7 and the hypotenuse is 25

so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]

now we solve for y

[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]

then we round to the nearest hundredth

so we can conclude that angle labeled y = 16.26

basic geometry

Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180

180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74


Related Questions

Jaquin would like to install a rug in her square living room. Her living room has an area of 121 square feet. What should the side length of the rug measure?

Answers

Answer:

11 feet

Step-by-step explanation:

All the sides of a square are equal

the area of a square = length²

121 ft² = length²

to determine the length find the square root of the area, 121

√121 = 11 feet

Find the coordinates of each point after the described reflection. Give the distance between each point and its reflection.

Answers

Complete Question:

Find the coordinates of the point after the described reflection. Give the distance between the point and its reflection. R(-5, 8) is reflected across the x-axis _____________.

Answer:

[tex](a)[/tex] [tex]R' = (-5,-8)[/tex]

[tex](b)[/tex] The distance is 16 units

Step-by-step explanation:

Given

[tex]R = (-5,8)[/tex]

Solving (a): Reflection across x-axis

The rule is:

[tex]R(x,y) ==> R(x,-y)[/tex]

So, the reflection of [tex]R = (-5,8)[/tex] is:

[tex]R' = (-5,-8)[/tex]

Solving (b): The distance between R and R'

Distance (d) is calculated as:

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

Where:

[tex]R = (-5,8)[/tex] ---- [tex](x_1,y_1)[/tex]

[tex]R' = (-5,-8)[/tex] --- [tex](x_2,y_2)[/tex]

This gives:

[tex]d = \sqrt{(-5- -5)^2 + (-8- 8)^2}[/tex]

[tex]d = \sqrt{(0)^2 + (-16)^2}[/tex]

[tex]d = \sqrt{256}[/tex]

[tex]d = 16[/tex]

The distance is 16 units

I need help finding area fast​

Answers

Answer:

24

Step-by-step explanation:

The awnser is 24 because you have to multiple 6x4

Step-by-step explanation:

6x4=24

Corinna wants to make ⅔ of the recipe. Does she need more or less than 1 ¾ cups of sugar? Explain how you know. How many cups of sugar does she need?

Answers

I think it’s 4 3/8

Find the TOTAL Surface Area of the square prism below.
12 cm
6 cm
6 cm
6 cm
6 cm

360 cm2
216 cm2
72 cm2
288 cm2

Answers

Answer:

I believe that the answer is C: 72 cm²

please help i’ll give brainliest if you help thanks

Answers

Answer:

pretty sure its 4b!

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

For the following right triangle, find the side length x.
х
8
15

Answers

Answer:

17

Step-by-step explanation:

h²=p²+b²

hypotenuse is x.

So, 8²+15²=289 which is 17²

so, h=17

Inés tiene una linda colección de estampillas en el álbum de Europa tiene274,de Francia 188,de Italia ;254 de Alemania y 124 de España sien el álbum de América hay 854 estampillas ¿en que álbum hay mas estampillas?

Answers

Answer:

la puedes a sed a engles no se mucho español.

please help me simplify this​

Answers

Step-by-step explanation:

Given

sin(α+β) cos(α-β) +cos(α+β) sin(α -β)

We can see it is in the formula of

sin(A + B) = sinA cosB + cosA sinB

So now

Sin ( α + β + α - β)

= sin 2α

Or we can write sin2α as

= 2 sin α * cos α

Hope it will help :)❤

X/19 < -7
Inqualities

Answers

Because 19 is being divided, you have to do the opposite. What's the opposite of division? Multiplication. So multiply 19 to -7, then get rid of the 19 on the x's side(cuz it was cancelled out). Now you should have x<-133. In case you don't know, positive times negative equals negative, but negative times negative equals positive.

---

hope it helps

The organizers of a carnival need to buy a total of 200 small and large signs combined for the event. If the small signs cost $5 and the large signs cost $10, how many signs can they buy with $1500.00. Write the systems of equation and solve the system by graphing.

Answers

Answer:25$

Step-by-step explanation:

can sumone please help me im sooo tired and i have like 2 more test to complete today please thank you!!

Answers

Answer:

so not submit yet, i cant see the digits in the sphere.

is income take home pay?​

Answers

Answer:

Take-home pay is the net amount of income received after the deduction of taxes, benefits, and voluntary contributions from a paycheck.

Step-by-step explanation:

Hope this helps!

which is the graph of x^2/16+y^2/6=1

Answers

Answer: The graph ou are looking for is added in the picture.

Graph 1 shows the correct representation the solution of the system.

What is solution of system of linear equation?

The point that satisfies all of the equations in a system of linear equations is called the solution.

A system of linear equations could be solved through graphing as well as identifying the intersection point, or by solving the variables algebraically.

here, we have,

For the given question;

The system of linear equation are given as;

x + 2y ≤ 16  .......eq 1

4x + y > 6    ......eq 2

Consider equation 1;

x + 2y = 16

For x = 0; y = 8 , Point = (0, 8)

For y = 0, x = 16, Point = (16, 0)

As the inequality of the eq 1 is less than equal to, the shaded region will lies below the line with solid lines.

Consider equation 2;

4x + y = 6

For x = 0; y = 6 , Point = (0, 6)

For y = 0, x = 1.5, Point = (1.5, 0)

As the inequality of the eq 2 is greater than, the shaded region will lies above the line with doted lines.

Thus, graph 1 shows the correct representation the solution of the system.

To know more about the solution of system of linear equation, here

brainly.com/question/13054392

#SPJ3

complete question:

Which graph is the solution of the system

x+2y≤16

4x+y>6

1 2 3 4

what are the inverse operations for addition and multiplication?

Answers

Answer:

Operations Inverse operations

Addition             Subtraction

Subtraction      Addition

Multiplication      Division

Division           Multiplication

Step-by-step explanation:

i hope this will help you

Work out the size of angle PRQ.show working out

Answers

Answer:

I got full 3 marks for this but you might have to reword depending on how your mathswatch was set

Step-by-step explanation:

12-2=10

10×180=1800

1800/12=150

=150˚

150/2=75

=75

Orlando tiene como tarea obtener el resultado correcto de la operación 14 + 5 – 6 x 2 ¿Hallará el resultado correcto efectuando (14 + 5) – (6 x 2) o (14 + 5 – 6) x 2?.

Answers

Responder:

(14 + 5) - (6 x 2)

Explicación paso a paso:

Para la operación dada:

14 + 5-6 x 2

Siguiendo la prioridad de operación matemática BODMAS.

Multiplicamos antes de realizar la suma:

-6 * 2 = 12

Ahora;

14 + 5 - 12

19 - 12 = 7

Por tanto, comprobamos cuál de las opciones nos da 7

(14 + 5-6) x 2

13 * 2 = 26

(14 + 5) - (6 x 2)

19 - 12 = 7

Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto

A container holds 2
3
gallon of apple juice. If four people from the cross-country track team share the juice equally, how much juice will each team member get?

You would
to solve this problem.
Each runner will get
gallon of apple juice.

Answers

Answer:

5.75 gallon each

Step-by-step explanation:

Simple unit rate problem

So we have 23 gallons of apple juice and 4 people sharing this 23 gallons evenly. So we jsut divide. 23/4= 5.75

So 5.75 gallon each.

Answer:

5 3/4 (5.75)

Step-by-step explanation:

23 divided by four team mates equals 5.75

Please answer this! Pleaseeeeee

Answers

Answer: x=50°

Step-by-step explanation:

For this question, you have to first find out whether you are using Sin, Cos or Tan.

To help you find out which one you are using you can use SOH CAH TOA to help you:

SOH-the 'S' is for Sin then the 'O' and the 'H' is for Opposite over Hypotenuse.

CAH-the 'C' is for Cos and then the 'A' and the 'H' is for Adjacent over Hypotenuse.

TOA-the 'T' is for Tan then the 'O' and the 'A' is for Opposite over Adjacent.

In this, because you have the Hypotenuse (the length opposite the right angle) and the Adjacent (the length next to the angle you are finding) you would be using Cos.

So first you would write:

Cos x=59/91

But then because you want x on it's own you would do the inverse. So, instead of multiplying x by cos you would have to do cos-1 (the inverse of cos). This would be written as:

x=cos-1 59/91

To get the answer you would have to put this in your calculator.

So x=50°

Hope this helps :)

A
Write an explicit formula for an, the nth term of
the sequence 17, 15, 13, ...

Answers

Tn=-2n+19

Step-by-step explanation:

Well in south africa we use Tn

Tn=a+(n-1)d

a=is the first term in the sequence which is 17

d=is the the difference between the terms which is - 2

Tn=17+(n-1)(-2)

Tn=17-2n+2

Tn=-2n+19

Yolanda ha comprado un coche por 8.200 euros. Lo ha pagado en tres partes. Primero pagó un 60% del valor del coche, después el 25% y por ultimo el resto ¿ cuánto pagó Yolanda la última vez?

Answers

Answer:

1.230 euros

Step-by-step explanation:

De la pregunta anterior se nos dice que:

Yolanda compró un coche por 8.200 euros. Lo ha pagado en tres partes.

Paso 1

Sea el porcentaje de la suma total de dinero = 100%

Primero pagó el 60% del valor del auto, luego el 25% y finalmente el resto.

Dejemos que el resto esté representado por x

Por eso;

Primera parte + Segunda parte + Tercera parte = 100%

60% + 25% + x = 100%

x = 100% - (60% + 25%)

x = 100% - 85%

x = 15%

Paso 2

¿Cuánto pagó Yolanda la última vez?

La última vez = Tercera parte y esto se calcula como:

15% de 8.200 euros

= 15/100 × 8.200 euros

= 1.230 euros

Yolanda pagó 1.230 euros la última vez.

2. Which is greater, 5.15 x 10-4 or 6.35 x 10-5

Answers

Answer:

6.35 x 10-5

Step-by-step explanation:

5.15 x 10-4 = 47.5

6.35 x 10.5 = 58.5

therefore 6.35 x 10-5 is greater

The answer is 6.35*5

PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
Over what interval(s) is the function strictly linear?

​​ ​0
−2
0
−2

Answers

Answer:

It’s -2 and 0 AND also 2 and 4

Step-by-step explanation:

Good luck!

A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.

Answers

Answer:

4 1/6 inches

Step-by-step explanation:

A triangle has sides of LaTeX: 1\frac{1}{6}1 1 6 inches, LaTeX: 1\frac{1}{3}1 1 3 inches, and LaTeX: 1\frac{2}{3}1 2 3 inches. What is the perimeter of the triangle? Make sure your answer is in simplest form.

Perimeter of Triangle = Side a + Side b + Side c

Perimeter of the Triangle =

( 1 1/6 + 1 1/3 + 1 2/3) inches

Lowest common denominator = 6

= 1 + 1 + 1 +(1/6 + 1/3 + 2/3)

= 3 + (1 + 2 + 4/6)

= 3 + 7/6

= 3 + 1 1/6

= 4 1/6 inches

Five more than twice a number is less than one more six times the number.

Answers

5+ 2n < 1+ 6n , n= number

11x - 8y = -4
-4x + 3y = 2

Answers

Answer:

x=4, y=6. (4, 6).

Step-by-step explanation:

11x-8y=-4

-4x+3y=2

----------------

4(11x-8y)=4(-4)

11(-4x+3y)=11(2)

-------------------------

44x-32y=-16

-44x+33y=22

-------------------

y=6

11x-8(6)=-4

11x-48=-4

11x=-4+48

11x=44

x=44/11

x=4

Choose one polynomial from each column below that will result in the given product. Select one option from each drop down. 24x^3y^2+16xy^3+12y^3 Column 1 a.) 4xy b.) 4x^2y c.) 4y^2 Column 2 d.) 6x+4y+3 e.) 6x^3+4xy+3y f.) 6x^2y+4x+3y^2

Answers

Answer:

[tex]Column\ 1: 4y^2[/tex]

[tex]Column\ 2: 6x^3+4xy+3y[/tex]

Step-by-step explanation:

Given

[tex]24x^3y^2+16xy^3+12y^3[/tex]

Required

Determine the product from the given column

[tex]24x^3y^2+16xy^3+12y^3[/tex]

Factor our [tex]y^2[/tex]

[tex]24x^3y^2+16xy^3+12y^3 = y^2(24x^3 + 16xy + 12y)[/tex]

Factor out 4

[tex]24x^3y^2+16xy^3+12y^3 = 4y^2(6x^3 + 4xy + 3y)[/tex]

So: the factors are:

[tex]4y^2[/tex] and [tex]6x^3 + 4xy + 3y[/tex]

This gives:

[tex]Column\ 1: 4y^2[/tex]

[tex]Column\ 2: 6x^3+4xy+3y[/tex]

What is the additive 3x -6

Answers

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

help anyone giving 5 stars

Answers

Answer:

The answer is: B

Step-by-step explanation:

Hope this helps!

b is the answer!!!!!!!!!!

A. GIVE AN EXAMPLE OF THE FOLLOWING AROUND YOUR HOME POINTS 1. 2. 3. 4. LINE /RAY/SEGMENT 5. 6. 7. 8. PLANE 9. 10.

Answers

Sorry but I’m lost what are you talking about
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