Given the diagram below, what is sin (30•)?

Given The Diagram Below, What Is Sin (30)?

Answers

Answer 1

Given:

The figure of a right triangle.

To find:

The value of [tex]\sin(30^\circ)[/tex].

Solution:

We know that, the sides of 30°-60°-90° right triangle are [tex]x,x\sqrt{3},2x[/tex] opposite to the angles 30°, 60°, 90° respectively.

Opposite side of 90° is 9.

[tex]2x=9[/tex]

[tex]x=\dfrac{9}{2}[/tex]

[tex]x=4.5[/tex]

So, opposite side of 30° is 4.5.

In a right triangle:

[tex]\sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin (30^\circ)= \dfrac{4.5}{9}[/tex]

[tex]\sin (30^\circ)= \dfrac{1}{2}[/tex]

Therefore, the correct option is A.


Related Questions

In triangle 4JKL, we have JK = 9 and KL = 15. If JL is an integer, what are the largest and smallest possible values for JL?

Answers

Answer:

The largest possible value is 23

The smallest is 7

Step-by-step explanation:

To get the length of JL, we use the triangle inequality theorem

The theorem is that the sum of the measure of any two sides of a triangle must be greater than the measure of the third side of the triangle for the triangle to exist

With respect to this, 9 + 15 must be greater than JL

since JL is an integer ( integers are whole numbers); we have the following

9 + 15 = 24

JL is less than 24; so the nearest integer closest to 24 is 23

Now, let us get the smallest possible value

For the smallest possible value;

Let us call that x

9 + x > 15

15 + x > 9

From the first inequality;

x > 15-9

x > 6

The smallest integer greater than is 7

So the smallest possible value for JL is 7 and the largest is 23

can someone help me w 3/5 of y is 33?

Answers

3/5 of 19 4/5 is 33

CAN SOMEONE HELPME I BEEN STUCK ON THIS FOR 3 HOURS​

Answers

Answer:

A,B,D

Step-by-step explanation:

Difference between an equation and an expression: equation has an equal sign while an expression does not. (C is also an inequality)

Please could someone work this out

Answers

1. 448000 cm^3

2. 56 minutes

:D

the screen shot is the question lz help me

Answers

Answer:

$123.75

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

I added all the things she bought and subtracted it by the total and got B. 123.75

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Answers

I would be led to believe it was c if you still need help

Solve for C.
3c-2c-1=13
PLS HELLLP​

Answers

c-1=13 — Combine like terms.
13+1=14 — Cancel the one out.
c=14 — Answer.

Step-by-step explanation:

1c-1=13

1c=13+1

1c=14

c=14

PLEASE PLEASE PLEASE HELO ILL GIVE BRAINEST​

Answers

Answer:

1. g = 4

2. g = 19

3. g = 39

4. g = 59

Step-by-step explanation:

Answer:

4,19,39,59

Step-by-step explanation:

it’s actually pretty simple.

for the first one you take 1 and plug it into n which looks like:

g=5(1)-1

then find yourself answer:

5(1)= 5

5-1=4

answer is 4

then you plug your four into n:

5(4)-1= 19

answer is 19

then you plug your 8 into n:

5(8)-1=39

answer is 39

then you plug your 12 into n

5(12)-1= 59

answer 59

I HOPE I HELPED!!!!!!!!

What is the point-slope form of a line that has a slope of 3 and goes through the point (-2, 4)?

Answers

Answer:

y-4=3(x+2)

Step-by-step explanation:

Plug into point slope equation with slope m and point (x1,y1)

y-y1=m(x-x1)

y-4=3(x+2)

PLS HELP ME PLS I WILL GIVE BRAINLIEST

Answers

Answer:

It will be A

Step-by-step explanation:

M=140-100/5-3

m=40/2

m=20

hey! I just need help with number 4...uh it's a little confusing.

Answers

Answer:

cheese4crown

Step-by-step explanation:

Answer:

Area: 27.5        trees?

Perimeter: 15    trees?

Step-by-step explanation:

Area of a right triangle is its base multiplied by its height

Since the two right triangles are mirror images of each other we only need to focus on one of them and then multiply our answers by 2

since the base of the whole triangle is halved we will do so to its value as well:

[tex]base=\frac{11}{2}[/tex]

we are given the height with the center line:

[tex]height=5[/tex]

so to get the area of one of the right triangles we do:

[tex]\frac{\frac{11}{2}*5}{2}[/tex]

and since there are two of them we can take away that divide by 2 to get:

[tex]\frac{11}{2}*5[/tex] which can be written as [tex]\frac{55}{2} ,\ 27\frac{1}{2} ,\ or\ 27.5[/tex]

now for the perimeter we just add up the outer most sides:

[tex]2+2+11=15[/tex]

(btw these measurements wouldn't make a triangle but that is what is shown so I just went with it)

If point A is reflected across both axes, what are the coordinates of the reflected point?

Answers

Answer:

The answer is "(6,3)".

Step-by-step explanation:

In this question, the point is missing if the given point is (-6,-3) so, its solution can be defined as follows:

Throughout this question whenever we reverse the axis to the mirror at the point. The reflection of (-6,-3) is (6,3), which also is the correct value because it changes the coordinates, that's why (6,3) is the correct point.

make x the subject of the formula


x/2c = a + 4

Answers

Answer:

x=8c

or

x=8

Step-by-step explanation:

Hope that helps :)

Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.


Help please Asap!!!

Answers

Answer:

4 cm, if you subtract 9 from 13 you get four.

Find the common solution.

x = - y + 10
x = y + 4

Type answer as an ordered pair.

Answers

Answer:

Step-by-step explanation:

x = -y + 10

Substitute into the second equation

-y + 10 = y + 4

-2y = -6

y = 3

Plug into first or second equation.

x = -3 + 10 = 7

x = 3 + 4 = 7

So the ordered pair is (7,3)

What is the 100th term of the sequence with a1 = 222 and d = -5?

1.-273
2.-278
3.717
4.722

Answers

Answer: the 100th term of the sequence =-273 (1)

Step-by-step explanation:

Since the first term = 222

and d  (common difference )=-5 Then we are talking about an arithmetic progression

The nth term of an Arithmetic progression is given as

Tn=a + (n - 1)d

Therefore given that n =100

Tn=a + (n - 1)d = 222 +(100-1)-5

222+ (99)-5

222-495=-273

Question 8 (4 points)
What is the area of the figure?
10 in
19 in
11 in.
17 in.
A. 223 in 2
B. 277 in 2
C. 267 in 2
D. 110 in 2

Answers

The area of the figure is A. 223 in 2 I did that question yesterday hahah what grade are you in?

Mis. Jackson wants to rent a van for a week it will cost a weekly fee plus 0.20 per mile driven let m equal the number of miles Ms. Jackson drives during the week write an algebraic expression that shows a month rent Jackson will pay for the van for the week

Answers

Complete Question

Mis. Jackson wants to rent a van for a week it will cost a weekly fee plus 0.20 per mile driven let m equal the number of miles Ms. Jackson drives during the week write an algebraic expression that shows a week rent Jackson will pay for the van for the week

Answer:

A = w + 0.20m

Step-by-step explanation:

Step 1

We find the equation for the total amount spent in a week

The total amount to rent the van in a week = A

Weekly fee = w

Number of miles = m

Therefore, thw algebraic expression that shows a week rent Jackson will pay for the van for the week is

A = w + 0.20m

tell me what is your favorite color

give brainliest and 15 points

Answers

Hmm anxjkssksdmsmsm black

Answer:

purple because when its really dark it looks sick

Step-by-step explanation:

When doing decimals, what does a dot over a number mean? For example, take 24.671, but theres a small dot over the numbers 6 and 1. What do I do and what does it mean?

Answers

Step-by-step explanation:

The dot is called a decimal point. It is also called the decimal separator. It separates whole numbers from fractional numbers.

In this example;

24.671

The numbers before the point, 24 is the whole number

The numbers after the point, 671 are the fractional portion of the number. They represent 6 tenths, 7 hundredths and 1 thousandths.

Also, the number of digits after the point tells you how many decimal place the number is in. In this example the number of decimal places is 3.

What is the scale factor of the dilation?

Answers

Answer: A is multiplied by  2  B is multiplied by B and C is multiplied by 2

Step-by-step explanation:

∠1 and ∠2 are complementary angles. If ∠1 measures 35º, what is the measure of ∠2?​

Answers

Answer:

55 degrees

Step-by-step explanation:

Complementary angles are two angles that equal 90 degrees together so if one angle is 35 degrees then the other must be able to add towards that to make 90 degrees

90=35+∠2

-35     -35

55=∠2

Round to 1 SF
0.0805672

Answers

0.0805672
Sig Figs
6
0.0805672
Decimals
7
0.0805672
Scientific Notation
8.05672 × 10-2
E-Notation
8.05672e-2
Words
zero point zero eight zero five six seven two

Answer:

Step-by-step explanation:

100709/1250000

100709

1250000

Jenna bought enough lattes for all her friends. Each latte was $3.50
and she gave the barista a $20 bill, who then gave her back $2.50
in change. Write an equation modeling this, with x as the cost per late
How many lattes did she buy?

Answers

Answer: 5 lattes

Step-by-step explanation: Our equation is 20 − 3.5x = 2.5, which means x = 5 lattes.

Answer:

Step-by-step explanation:

y=3.5x (cost function where y is cost and x is the number of lattes)

20-2.5=3.5x

17.5=3.5x

5=x

So she bought 5 lattes.

What are all the missing angles?

Answers

E is 49 because they are opposite angles. F is 180 - 49 = 131

Answer:

d = 90 degrees

e = 49 degrees

f = 131 degrees

Step-by-step explanation:

angle d is 90 degrees because adjacent angles add to 180 degrees, if the adjacent angle is right it is equal to 90 degrees, 180 - 90 is 90.

angle e is 49 degrees because opposite angles are equivalent.

angle f is 131 because adjacent angles add to 180 degrees, if the adjacent angle is 49, 180 - 49 is 131.

Classify △ABC
Choose 2 answers:

(Choice A)
A
Equilateral triangle

(Choice B)
B
Isosceles triangle

(Choice C)
C
Right triangle

(Choice D, Checked)
D
Acute triangle

(Choice E)
E
Scalene triangle

(Choice F)
F
Obtuse triangle

Answers

Answer:

b and d

Step-by-step explanation:

• Exprimer l'aire A de la partie colorée de la figure ci-
dessous en fonction de x. Donner le résultat sous
forme simplifiée en écrivant les détails.
• Calculer A pour x = 3 et x = 2.

Answers

Answer:

10

Step-by-step explanation:

by dojng lenght into breadth

Identify the correct equation for the graph below.

Answers

The answer is C. The y-intercept is at -3 and the slope is positive which means it has to be y = 1/2x - 3

please tell me answers I am given you brainliest ​

Answers

What the question? Am I suppose to find an angle or what?

Answer:

what is the question or whatever

I need help with these three equations
3x - 2 = x + 10
X+4=19-2x
8z - 20 =z +15

Answers

Answer:

1st answer is 6, 2nd is 5, 3rd is 5

Step-by-step explanation:

3x-2=x+10

3x-x=10+2

2x=12

x=12÷2

x=6

x+4=19-2x

x+2x=19-4

3x=15

x=15÷3

x=5

8z-20=z+15

8z-z=15+20

7z=35

z=35÷7

z=5

plzz mark me as brainliest

Answer:

3x-2=x+10

x=6

x+4=19-2x

x=5

8z-20=z+15

z=5

Step-by-step explanation:

3x-2=x+10

+2 on both sides

3x-2(+2)=x+10(+2)  =>  3x=x+12

subtract x on both sides

3x(-x)=x(-x)+12   =>  2x=12

divide 2 on both sides

2x/2=12/2

= x=6

x+4=19-2x

subtract 4 on both sides

x+4(-4)=19(-4)-2x    =>    x=15-2x

add 2x on both sides    

x(+2x)=15-2x(+2x)     =>    3x=15

divide 3 on both sides

3x/3=15/3

= x=5

8z-20=z+15

subtract z on both sides

8z(-z)-20=z(-z)+15    =>  7z-20=15

add 20 on both sides

7z-20(+20)=15(+20)

7z=35

divide 7 on both sides

7z/7=35/7

= z=5

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