In ΔOPQ, q = 6.5 inches, o = 8.6 inches and ∠P=55°. Find ∠Q, to the nearest 10th of an degree.

Answers

Answer 1

Answer:

∠Q = 35.5°

Step-by-step explanation:

We are given;

q = 6.5 inches

o = 8.6 inches

∠P = 55°

Let's first use cosine rule to find p.

p² = q² + o² - 2qo cos P

Plugging in the relevant values;

p² = 6.5² + 8.6² - (2 × 6.5 × 8.6 × cos 55)

p² = 42.25 + 73.96 - 32.0629

p² = 84.1471

p = √84.1471

p = 9.17 inches

Using sine rule, we can find ∠Q;

p/sin P = q/sin Q

sin Q = (q•sinP)/p

sin Q = (6.5 × sin 55)/9.17

sin Q = 0.5806

Q = sin^(-1) 0.5806

Q ≈ 35.5°

Answer 2

Answer:

47.5  

Step-by-step explanation:

From delta math


Related Questions

What is the first step in solving this equation? 2(3x - 4) = 3x + 1 a combine like terms b move x to the other side c distributive property d multiplication

Answers

You need to do the distributive property first so the answer is C

Which expression is equivalent to 48 + 54?

Answers

48 + 54 = 102

102 / (8+9) = 6

48 + 54 = 6 x (8+9)

6 can be written on the blank line to make the expressions equivalent.

can i please get brainlist

Answer: 8+9

Step-by-step explanation:

Divide both by 6

48/6 = 8

54/6 = 9

This is the lowest point you can divide it by meaning 8+9 would be equivalent to 48+54.

I didn't see any multiple choice answers to choose from so this could be wrong.

What are 3 ways you could use arts and music outside school

Answers

Painting a mural
Doing charity work like playing a concert
Design

what's the circumference of a circle with the radius of 7 ft use 3.14 for π​

Answers

Answer:

7 x 3.14 x 2 = 43.96 ft

Step-by-step explanation:

Formula of Circumference:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter

A cube with a surface area of 150 square centimeters is shown. Eight cubes like the one shown are combined to create a larger cube. What is the volume, in cubic centimeters, of the new larger cube?​

Answers

Answer:

1000 cubic centimeters

Step-by-step explanation:

150 / 6 = 25

Square root of 25 = 5

5 * 2 = 10

10 * 10 * 10 = 1000 cubic centimeters

Find the average of Brendan's Math test Scores:
82,95,71,88,89
average= _____
Please help me

Answers

Answer:

The average score is 85

Step-by-step explanation:

Good Luck!

El espesor de un borde de un componente de una aeronave está distribuido de manera uniforme entre 0.05 y 1.05 milimetros.Obtenga la función de distribución acumulada del espesor del borde.Calcule la proporción de bordes cuyo espesor es mayor que 1.02 milimetros.Qué espesor estEa excedido por el 90% de los bordes.Calcule la media y la varianza del espesor.

Answers

Answer:

a) [tex]F(x)\begin{cases} & 0\text{ if } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ if } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ if } x \geq 1.05 \end{cases}[/tex]

b) 0.03

c) 0.15

d) La media es 0.55

La varianza es 8.[tex]\overline 3[/tex]

Step-by-step explanation:

La variación del espesor del componente de la aeronave = 0.05 a 1.05

El pdf de la variable 'X' se da de la siguiente manera;

[tex]f(x) = \dfrac{1}{1.05 - 0.05} = 1[/tex] por 0.05 < x < 1.05

a)

[tex]F(x)\begin{cases} & 0\text{ si } x \leq 0.05 \\ \\ &\dfrac{x - 0.05}{1.05 - 0.05} = x - 0.05 \text{ si } 0.05 \leq x \leq 1.05 \\ \\ & 1 \text{ si } x \geq 1.05 \end{cases}[/tex]

b) Para la proporción de los bordes que con un espesor superior a 1.02 milímetros, obtenemos;

P(X > 1.02) = 1 - F(1.02) = 1 - (1.02 - 0.05) = 0.03

P(X > 1.02) = 0.03

La proporción de bordes que tienen un espesor mayor que 1.02 = 0.03

c) El espesor, 'x', excedido en el 90% de los bordes, se encuentra de la siguiente manera;

P(X > x) = 1 - F(x)

∴ 90/100 = 0.9 = 1 - F(x) = 1 - (x - 0.05)

x - 0.05 = 1 - 0.9 = 0.1

x = 0.1 + 0.05 = 0.15

∴ El espesor excedido en el 90% de los bordes, x = 0.15

d) Para una variable aleatoria uniforme continua, a ≤ x ≤ b, tenemos;

[tex]El \ significado, \mu = E(X) = \dfrac{(a + b)}{2}[/tex]

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(b - a)^2}{12}[/tex]

Para la distribución de espesor de borde dada, tenemos;

0.05 < x < 1.05

[tex]\therefore El \ significado, \mu = E(X) = \dfrac{(0.05 + 1.05)}{2} = 0.55[/tex]

El significado E(X) = 0.55

[tex]La \ varianza, \sigma^2 = V(X) = \dfrac{(1.05 - 0.05)^2}{12} = 1/12 = 8.\overline 3[/tex]

La varianza, V(X) = 8.[tex]\overline 3[/tex]

Please help correct answer gets brainly but hurry fast please

Answers

SHHHHEEESSH that looks tuff anyways help this soul out plz

Answer:

A (1,0)

B (0,-3)

C (-6,5)

D (-3,-5)

I don't really think I have to explain it.

hope this helps!!

Adam borrowed $5,600 from the bank. The bank charges 4.2% simple interest each year.
Which equation represents the amount of money in dollars, x, Adam will owe in one year, if no payments
are made?

Answers

Answer:

$235.2

Step-by-step explanation:

Given data

Principal=  $5,600

Rate= 4.2%

Time= 1 year

The expression for the simple interest is given as

SI= PRT/100

substitute

SI= 5600*4.2*1/100

SI= 23520/100

SI=$235.2

Hence after 1 year he will pay $235.2

Which statement best describes the effect nicotine has on the central nervous system?
A.
It acts as a stimulant and causes pleasurable feelings.
B.
It acts as a sedative and relaxes the mind.
C.
It acts as both a stimulant and a sedative.

Answers

Answer:

c can i have brainliest pls i need for virtuoso

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because thats what nic does


A movie theater has 13 new release movie posters. How many ways can the manager choose 7
posters for a promotion?

Answers

Answer:

1716

Step-by-step explanation:

I'm pretty sure

The manager can choose a group of 7 posters for a promotion in 1716 ways.

How many ways k things out of m different things (m ≥ k) can be chosen if order of the chosen things doesn't matter?

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in a total of

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.[/tex]

A movie theater has 13 new release movie posters

the manager choose a group of 7 for posters.

When we choose 7 posters, the order does not matter.

So we use a combination

We need to find 7 from 13 new release movie posters.

[tex]^mC_k = \dfrac{m!}{k! \times (m-k)!} ways.\\\\^13C_7 = \dfrac{13!}{7! \times (13-7)!} ways.\\\\^13C_7 = \dfrac{13!}{7! \times6!} ways.\\\\^13C_7 = 1716[/tex]

The manager can choose a group of 7 posters for a promotion in 1716 ways.

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

17 ft.
8 ft.
15 ft.

What is the area of the triangle above?

Answers

Answer:

60 ft²

Step-by-step explanation:

Answer:

60 ft.

Step-by-step explanation:

8*15 = 120/2 = 60

I need help ASAP PLEASE ASAP!!!

Answers

The area is 10 just use a area calculator!
The area is 10:) good luck on it

Which equation represents a line which is parallel to the line 2x+y=-82x+y=−8?
y= 2x-1
y= -2x+1
y= 1/2x -6
y= -1/2x -5

Answers

Answer:

x=7 is the line parallel to the given line x=8 . Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined.

Step-by-step explanation:

Find the value of x in the triangle

Answers

Answer:

x+23+80=4x+17

x+103=4x+17

103-17=4x-x

86/3=x

x=28.66

Step-by-step explanation:

What is the volume of the rectangular prism - i ready. 1/3 ft some of. The answers 1 1/9 feet3- 10 ft3 - 2/9 ft3 - 3 1/3 ft3

Answers

Answer:

[tex]3\frac{1}{3}\ ft^3[/tex]

Step-by-step explanation:

A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:

Volume = width * height * length

From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.

The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.

The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.

The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.

The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =  [tex]3\frac{1}{3}\ ft^3[/tex]

Answer:

it is 3 1/3 good day

Step-by-step explanation:

Can someone help me please.

Answers

8. is 16

10. is 5
11. is 10
9. Is 20 since it wasn’t said in the previous answer

Hey! So I need help because I don't understand anything that I'm doing.

Answers

I think the answer is 108ft. First multiply 12x12 to find the area of the entire square, then multiply 6x6 for the part that is missing. Then subtract 36 from 144.

Answer:

Step-by-step explanation:

Kari lost 2.88 kilograms after two weeks of exercise. One kilogram is equal to approximately 2.2 pounds. Which measurement is closest to the number of pounds that Kari lost? Group of answer choices

Answers

Answer:

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

Step-by-step explanation:

Given;

Amount of weight Kari lost in kilogram = 2.88 kilograms

Given scale;

1 kilogram = 2.2 pound

Find:

Amount of weight Kari lost in pound

Computation;

Amount of weight Kari lost in pound = Amount of weight Kari lost in kilogram x  2.2 pound

Amount of weight Kari lost in pound = 2.88 x 2.2 pound

Amount of weight Kari lost in pound = 6.336

Amount of weight Kari lost in pound = 6.34 pound (Approx.)

please help,
i accidentally skipped the lesson and i'm not sure what to do.

Answers

Answer:

75

Step-by-step explanation:

Find the difference between the measures of the two intercepted arcs and divide by 2:

(180-30)/2 =150/2 = 75

The measure of angle ACE is 44 degrees.

5/1(x-2)=1/10(x+6). hep me guys pls i don't undestant math

Answers

Answer:

[tex]x=\frac{106}{49}[/tex]

Step-by-step explanation:

Therefore, [tex]x=\frac{106}{49}[/tex] will be your final answer.

Josh and Ben spotted a bear in the woods while riding their bikes. Josh rode 3 miles north and Ben rode 2 miles east.

How far apart are the two boys?

Round to the nearest tenth if needed.

Answers

Answer:

3.6 miles

Step-by-step explanation:

a²+b²=c²

a and b are triangle legs, and for this question it doesn't really matter which you identify as a or b. We are looking for c, or the distance apart from each other.

3²+2²=c²

= 9+4=c²

= 9+4= 13

= c² = 13

Now we are looking for the square root of 13

√13 = 3.605...

This rounded to the nearest tenth is 3.6

The answer is 3.6 miles.

Hope this helped and made it a bit easier to understand - sorry if the text format is a little messy.

Josh and Ben are 3.6 miles apart from each other.

The distance covered by Josh north, distance covered by Ben east and the distance between the two boys forms a right angled triangle.

Let x represent the distance between the two boys.

Using Pythagoras theorem:

x² = 3² + 2²

x² = 9 + 4

x² = 13

x = 3.6 miles

Therefore both Josh and Ben are 3.6 miles apart from each other.

Find out more at: https://brainly.com/question/9761076

Can someone help me ASAP

Answers

Answer:

A) 1/2

Step-by-step explanation:

blue/total number of spins

30/60

1/2

Ans: 1/2

2/3 y = 1/4 y ___?

A) 3/8
B) 5/12
C) 11/12
D) 2 2/3

Answers

Answer:

Heyaa!! Im Pinky!! And Im Here To Inform You That Your Answer Is...

Step-by-step explanation:

!!!! A. 3/8 !!!!

My calculations:

      Given

   2/3 y = 1/4

  Multiply Each Sides by 3!

      2y = 3 ×  1/4= 3/4

 Then we can Divide both sides by 2!

 y= 3/4 ÷ 2 = 3/4 × 1/2 = 3/8!!

  Have An Amazingly Good Day!!! (or night!)

~Pinky~

Can somebody help me out my grade are bad like this

Answers

Answer: no like this

Step-by-step explanation:

The sidewalk is 5 feet wide and the garden measures 40 feet across. Which measurement is closest to the area of the sidewalk?

A.
3,200 ft

B.
1,400 ft

C.
700 ft

D.
1,000 ft

Answers

Answer:

C

Step-by-step explanation:

Question 7

Which set of side lengths can be used to form a right

triangle?

Answers

Answer:

D.30,40,50

Step-by-step explanation:

A.4,5,6

B.2,3,4

C.10,20,30

D.30,40,50

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

4² + 5² = 25 is not equal to the square of 6 which is 36

2² + 3² = 10 . 10  is not equal to the square of 4 which is 16

10² + 20³ = 500. 500  is not equal to the square of 30 which is 900

30² + 40² = 2500. this is equal to the square of 50

15. In a random sample of 40 students, 25 students preferred chocolate to
vanilla. If there are 120 student in the school, how many like chocolate

Answers

25/40 = x/120
solve for x you get 75

What is the measure of m? 6 24 n m = ✓ [?] Enter
WHOEVER IS RIGHT GETS BRAINLIEST

Answers

Answer:

n = 12

Step-by-step explanation:

Find the diagram attached.

According to the altitude theorem;

24/n = n/6

Cross multiply

24 * 6 = n²

144 = n²

Swap

n² = 144

n = √144

n = 12

Hence the value of n is 12

Given the parallelogram solve for x and find the measure of

Answers

Answer:60

x=8.14

Step-by-step explanation:

Other Questions
Mr.Q's class is having a giveaway where his students can receive 100 classroom credits. He will pull names out of a hat and select two winners. Once a student wins, they are not eligible to win a second time. If there are 40 total people in the class, including you and your best friend. What is the probability that both you and your best friend get the 100 classroom credits?PLEASE SHOW WORK!! Find the surface area of the figure below. What is the Evaluate the expresson for p = 49p = _____I need help I'm new to this ;-; A triangle has angle measurements of 53, 37, and 90. What kind of triangle is it? 4. What all goes into a body section of an argument? Someone please help me Ill give out brainliest please dont answer if you dont know Which of the following defines an ecological succession? A.It is the final and stable commuity of an ecosystem. B. It is the first plants and animals to inhabit a newly available ecosystem. C. It is the number of a particular species that an ecosystem can support. D.It is a process of chang during which species in a community are established or replaced. A box contains 7 red marbles, 4 white marbles, and 5 blue marbles. If only white marbles are added to the box, how many must be added tomake the probability of drawing a white marble ?OA. IO B. 2Oc: 5D. 7E. 12 Solve the equation 8-2x=-8x+14 Only EVENS {100 points} + Brainlist "PLEASE ASAP" IF YOU DONT WANT TO HLP PLEASE DONT ANSWER What mass of aluminum sulfate is required to precipitate all of the Ba?? out of 45.0 mL of 0.548 M barium nitrate solution? 3 Ba(NO3)2 (aq) + Al2(SO4)3 (aq) --> 3 BaSO2 (s) + 2 Al(NO3)3 (aq) How do you write 1.0x10^-3 in standard form? What do you mean by technical occupations ? write with examples how should the Holocaust be remembered? Research coming out of the Developmental Labs, Inc., of Huntington,New York, established that reading skill was positively correlated with smooth movements of the eyes during reading (i.e., fewer pauses and fewer retracks). A friend suggests that the local school district invest money in equipment that teachers could useto help students develop smoother eye movements and improve their reading skill. What would be the response to this recommendation Question 2 of 525 =O A. 10B. 6C. 4D. 5 In which situation would an informal writing style be most appropriate? A. A business extending a job offer to an applicant B. A government official writing a letter to a citizenC. A student writing a text message to a friend D. A couple sending an invitation to their wedding 25% of what number equals 10? which is equivalent to ? Please help me with this