Unit 8: Right Triangles & Trigonometry Homework 4: Trigonometry: Ratios & Finding Missing Sides

Answers

Answer 1

Answer:

26.69

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached

The missing side is x;

From the triangle we are given;

Opposite = x

Hypotenuse = 29

Angle of elevation = 67 degrees

Using the SOH CAH TOA identity;

Sin theta = opposite/hypotenuse;

sin 67 = x/29

x = 29sin67

x = 29(0.9205)

x = 26.69

Hence the length of the missing side is 26.69

Unit 8: Right Triangles & Trigonometry Homework 4: Trigonometry: Ratios & Finding Missing Sides
Answer 2

All trigonometric ratios of triangle PQR were calculated.

In the given right triangle PQR

PR = 14

QR = 50

So, using Pythagoras' theorem

PQ = 48

What are Sine, Cosine, and Tangent of a triangle?

Sine of an angle = Opposite side / Hypotenuse

cosine of an angle = Adjacent side/ Hypotenuse

Tangent of an angle = Opposite side/ Adjacent side

So, SinQ = 14/50 =7/25      

CosecQ = 1/SinQ = 25/7

CosQ= 48/50 = 24/25

SecQ = 1/CosQ = 25/24

TanQ = 14/48 = 7/24

CotQ = 1/tanQ = 24/7

SinR=24/25

CosecR = 1/SinR= 25/24

CosR=7/25

SecR = 1/Cosr = 25/7

TanR =24/7

CotR = 1/tanR = 7/24

Thus, All trigonometric ratios of triangle PQR were calculated.

To get more about trigonometric ratios visit:

https://brainly.com/question/24349828


Related Questions

I need help wit this

Answers

Answer:

i don't know how to explain the answew to you

Step-by-step explanation:

Mason used 1/6 of a liter of milk to make 1/8 of a jug of tea. How much milk in liters is required to fill the jug

Answers

Answer:

1.33 liters of milk are required to fill the jug.

Step-by-step explanation:

With the information provided, you can use a rule of three to find the amount of milk required to fill 1 jug of tea given that Mason used 1/6 of a liter of milk to make 1/8 of a jug of tea:

1/6 f a liter of milk → 1/8 of a jug of tea

           x                ←  1 jug of tea

x=(1/6*1)/1/8

x=(1/6)/(1/8)

x=(1*8)/(6*1)

x=8/6

x=4/3=1.33

According to this, the answer is that 1.33 liters of milk are required to fill the jug.

what is 2562 times 7287

Answers

Answer:

18,669,294

Step-by-step explanation:

Answer: it’s 18,669,294

Step-by-step explanation:

Supongamos que el 20% de los objetos fabricados por una empresa son defectuosos. Escogemos 4 objetos al azar. Hallar la probabilidad de que (a) 2 sean defectuosos, (b) 3 sean defectuosos, (c) ninguno sea defectuoso.

Answers

Responder:

0,1536

0.0256

0.4096

Explicación paso a paso:

Dado que :

p = 0,2

Número de ensayos, n = 4

1 - p = 1 - 0,2 = 0,8

Probabilidad de que 2 sean defectuosos;

Usando la fórmula de distribución binomial:

P (x = 2)

P (x = x) = nCx * p ^ x * (1 - p) ^ (n - x)

P (x = 2) = 4C2 * 0.2 ^ 2 * 0.8 ^ 2

P (x = 2) = 6 * 0,04 * 0,64

P (x = 2) = 0,1536

3 están defectuosos:

P (x = 3) = 4C3 * 0,2 ^ 3 * 0,8 ^ 1

P (x = 3) = 4 * 0,008 * 0,8

P (x = 3) = 0,0256

Probabilidad de que ninguno sea defectuoso:

P (x = 0) = 4C0 * 0.2 ^ 0 * 0.8 ^ 4

P (x = 0) = 1 * 1 * 0,4096

P (x = 0) = 0,4096

Usando la distribución binomial, se encuentra que hay una probabilidad de:

a) 0.1536 = 15.35% que 2 sean defectuosos.

b) 0.0256 = 2.56% que 3 sean defectuosos.

c) 0.4096 = 40.96% que ninguno sea defectuosos.

Para cada objeto, solo hay dos resultados posibles. O está defectuoso o no lo es. La probabilidad de que un objeto sea defectuoso es independiente de cualquier otro ítem, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribución binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

n es el número de ensayos. p es la probabilidad de éxito en un ensayo x es el número de éxitos

En este problema:

4 objetos, por eso [tex]n = 4[/tex].20% son defectuosos, por eso [tex]p = 0.2[/tex].

Item a:

Esta probabilidad es P(X = 2), o sea:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536[/tex]

Probabilidad de 0.1536 = 15.35% que 2 sean defectuosos.

Item b:

Esta probabilidad es P(X = 3), o sea:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{4,3}.(0.2)^{3}.(0.8)^{1} = 0.0256[/tex]

Probabilidad de 0.0256 = 2.56% que 3 sean defectuosos.

Item c:

Esta probabilidad es P(X = 0), o sea:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.2)^{0}.(0.8)^{4} = 0.4096[/tex]

Probabilidad de 0.4096 = 40.96% que ninguno sea defectuosos.

Un problema similar es dado en https://brainly.com/question/25132113

5x(12-4)+3=?
PLEASE HELP WILL MARK BRAINLIEST!!!!!

Answers

Answer:

D. 43

Step-by-step explanation:

first do everything inside paranthesis (12-4)=8

then multipy 8 by 5= 40

40+3=43

hope this helps

Answer:

43

Step-by-step explanation:

If a leaky faucet drips one ounce of
water per minute, approximately how
many gallons per day would that be?
A. 0.5625
B. 5.625
C. 1.125
D. 11.25

Answers

Answer:

join kvp-cgtc-yjz

Step-by-step explanation:

1.125 is the answer

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!
What is the missing side?

Answers

Answer:

18. lol

Step-by-step explanation:

Answer:

using the Pythagoras theorem,

[tex]a { }^{2} + b {}^{2} = c {}^{2} [/tex]

144+225=c squared

369=c sqared

13=c

so, your unknown value is 13

EXTRA POINTS- Find the volume of the following solids

Answers

Answer: Their are 40 cm salsa in the jar.

1500cm are missing in the jar.

Step-by-step explanation:

Because cm is 10 and if you multiply 10x15 you will get 1500. If you multiply 10 and 4 you will get 40.

can someone help me asap? pls

Answers

Answer:

Step-by-step explanation:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height hope this helped somehow ;-; sry if not

WILL GIVE BRAINLIEST TO CORRECT ABSWER. can someone please solve 2,4,6, and 8

Answers

Answer:

pls resnap, i tried to zoom in but i can't see clearly


If the measure of each exterior angle is twice as large as each interior angle, the polygon must be a regular

Answers

Answer:

y+o+u+t+u+b+e +biggie smalls

Step-by-step explanation:

The polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.

What is a regular polygon?

A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.

As we know, the interior angle is given by:

= 180(n - 2)

Sum of the exterior angle is 360 degree

(360/n) = 2[180(n - 2)]/n

360 = 360(n - 2)

n = 3

Number of sides n = 3

Polygon will be a triangle

Thus, the polygon will be a triangle if the measure of each exterior angle is twice as large as each interior angle.

Learn more about the regular polygon here:

brainly.com/question/11810316

#SPJ2

Solve the inequality 4/3 < -8/3y.

Answers

Answer:

The answer to this inequality is y < -1/2.

Hope this could help you! (*^წ^*)

Answer:

[tex]y<-\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{4}{3}<-\frac{8}{3}y[/tex]

[tex]-\frac{8}{3}y>\frac{4}{3}\\[/tex]

[tex]\left(-\frac{8}{3}y\right)\left(-1\right)<\frac{4\left(-1\right)}{3}[/tex]

[tex]\frac{8}{3}y<-\frac{4}{3}[/tex]

[tex]3\cdot \frac{8}{3}y<3\left(-\frac{4}{3}\right)[/tex]

[tex]8y<-4[/tex]

[tex]\frac{8y}{8}<\frac{-4}{8}[/tex]

[tex]y<-\frac{1}{2}[/tex]

Hope this helps!

All the love, Ya boi Fraser :)

I need help on homework.

Answers

J = (3,0)

K = (3,negative two)

L = [ 0, negative two]

I apologise for the way this is set out, half of the keys on my laptop do not work

Answer:

J- (3,0)

K- (3,-2)

L- (1,-2)

Reasoning- Just move the points to where it's asking.

At what value of x does the graph of the following function F(x) have a
vertical asymptote?

F(x)= 1/x+2

A. 2.
B. -2
C. -1
D. 0

Answers

Answer:

B

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{x+2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 2 = 0 ⇒ x = - 2

The equation of the vertical asymptote is x = - 2

HELPP PLS. what do i put?

Answers

Answer:

(3, 2)

Step-by-step explanation:

Point B has the x-coordinate 3 and the y-coordinate 2, as can be read of directly from the graph.  Therefore Point B is (3, 2).

Answer:

(3,2)

Step-by-step explanation:

That is its location on the graph

what's
[tex]76 \div 4\times3[/tex]

Answers

76 divided by 4 = 19

19 x 3 = 57

Answer = 57

x - 21 = 19

x = please help

Answers

Answer:

x=40

Step-by-step explanation:

plz make the other person the brainliest thanks!

(my sister needs help with this)
Peter says 3
4 of a pizza is always the same
as 6
8 of a pizza. Nadia says while 3
4 and 6
8 are
equivalent fractions, 3
4 and 6
8 of a pizza could
represent different amounts.


Who is correct? Explain. Use a drawing to
justify your argument.




Use a counterexample to explain who
is correct

Answers

Answer:

Nadia is right

Step-by-step explanation:

if you use cross multiply 3/4 6/8. 8 x 3 = 24, 6 x 4 = 24, the two answer are both 24.

Solve for x ! giving brainly

Answers

Answer:

[tex]x = 16[/tex]

Step-by-step explanation:

[tex]3x + 5 + 9x - 19 = 180[/tex]

[tex]12x - 12 = 180[/tex]

[tex]12x = 180 + 12[/tex]

[tex] \frac{12x}{12} = \frac{192}{12} [/tex]

[tex]x = 16[/tex]

hope it helps you

The measure of x = 16

Find the percent of increase or decrease. Round to the nearest percent.
1 point
1) Keelin's hourly rate went from $9.50 per hour to $10.25 per hour. What is
the percent increase

Answers

.75%. Is the answer I believe

Please solve I will give brainliest to whoever solves correct and is first to solve

Answers

1/2 times 3.14(30.25)
1/2 times 94.985
47.51658

Answer:

[tex]A=1/2 \pi r^2[/tex]

[tex]1/2(3.14)(5.5)^2[/tex][tex]1/2(3.14)(30.25)[/tex][tex]=47.49[/tex]

[tex]A=47.5~yd^2[/tex]

----------------------hope it helps..have a great day!!

How many 1/3-​yard long pieces of wood can be cut from​ 1-yard long piece of​ wood?

Answers

Answer:

3 pieces

I hope this helps

Step-by-step explanation:

X(1/3) = 1

x/3 = 1

X= 1×3 = 3

A rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of this rectangular prism in square inches?

Answers

Answer:

51.08 in.²

Step-by-step explanation:

S.A = (l x b) + (l × h) + (b × h)

= (8.2 in. × 3.4 in.) + (8.2 in. × 2 in.) + (3.4 in. × 2 in.)

= 27.88 in.² + 16.4 in.² + 6.8 in.²

= 51.08 in.²

Answer:51.08

Step-by-step explanation: First you see what you have to do then you put it all together and it pops up with 51.08

Solve for x
Need help on this

Answers

mid segment of triangle = 1/2 base
base = x here, so
1/2x = 15
multiply both sides by 2,
x=30

answer: x=30

Please help -2(x+10)

Answers

Answer:

-2x-5

Step-by-step explanation:

By distributing the -2 to the x+10 we get, "-2x-5". This is our final simplified answer.

Answer:

−2

5/6 + (-4/9) -(-2).

Answers

Answer:

= 2 7/18

Step-by-step explanation:

Follow the PEMDAS order of operations.  

Add and subtract left to right

=43/18 (as an improper fraction)

=2 7/18 (as a mixed number)

what’s the ratio 3:12:9 in its simplest form.

Answers

Answer:

1:4:3

Step-by-step explanation:

Hope that helps.

Have a good day and stay safe!

Answer: 1 : 4 : 3

Step-by-step explanation:

Their greatest factor is 3 so you had to divide all by 3.

3 ÷ 3 = 1

12 ÷ 3 = 4

9 ÷ 3 = 3


The first three terms of a geometric sequence are given. Find the 8th term. Round to the nearest thousandth (if necessary).
2,4,8, ...

Answers

Answer:

2 4 8 16 32 64 128 256

Step-by-step explanation:

its doubleing evrey time

Answer:

7.594

Step-by-step explanation:

Find all solutions of the equation in the interval [0, 2pi).
(2sinx-sqrt2)(3cscx-2sqrt3) = 0

Answers

The answer is x*2 equals negative 2

. Coach Bryant schedules soccer practice from 4:00 PM to 5:15 PM. His team
spends 10 minutes stretching and ½ hour passing the ball. The rest of the
time is spent on skill drills. How much time does Coach Bryant’s team spend
on skill drills? Use the number line to help you solve.

Start practice is 4:00 pm
End Practice is 5:15 pm

Answer Choices:
A. 30 minutes
B. 35 minutes
C. 75 minutes
D. 65 minutes

Answers

Answer:

B

Step-by-step explanation:

4.00 minus 5.15 is 1.15

1.15 minus 10 minus 30 is 35

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