Find the measure of each angle in the figure below.

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=x/10(do cross multiplication)

2*x=10*1

x=10/2

x=5

Answer:

5

Step-by-step explanation:

The sin is the opposite cathetus divided by the hypothenuse, and the sin30° = 0.5, so let's do an equality:

sin30° = x/10

0.5 = x/10

10•0.5 = x

x = 5

Answer:

Answer B is the correct answer..

cot(theta)=cos(theta)/sin(theta)

Trignometric functions are the ratio of the sides of the triangle. The correct option from the following is cot(theta)= cos(theta)/sin(theta).

The trigonometric function gives the ratio of different sides of a right-angle triangle. There are six basic trigonometric functions,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta= \dfrac{Sin \theta}{Cos \theta} =\dfrac{Perpendicular}{Base} \\\\\\Cosec \theta=\dfrac{1}{Sin\theta}=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta= \dfrac{1}{Cos\theta} = \dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{1}{Tan\theta}= \dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As we know about the basic trigonometric functions, therefore, the options that is correct from the following option is cot(theta)= cos(theta)/sin(theta).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

Answer:

First choice

Step-by-step explanation:

The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.

Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.

Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.

The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.

Answer:

x=24

Step-by-step explanation:

Because the triangle is a 30-60-90 triangle, you can find side x, the hypotenuse, by doubling the short side 12. Therefore, x=2(12)=24.

Answer:

this may or may not help ya :/

= 2 ×( x + 2 + x )

= 2 ( 2x + 2)

= 4x + 4 units

= (x + 2) × x

= x² +2x Sq. units

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=3.14*6^2*11

=3.14*36*11

=1243.44 mi^3

Answer:

Solution given:

radius [r]=6mi

height[h]=11mi

we have

Volume of cylinder=πr²h=3.14*6²*11=

1243.44mi³

Answer:

A loan

Step-by-step explanation:

They are not the same.

Answer:

$495

Step-by-step explanation:

(900 ÷ 100) × 45

= 405

900 - 405

= 495

Answer:

24 degrees

Step-by-step explanation:

The sum of the exterior angles of a triangle is 360 degrees

2x + 6x + 7x = 360

15x = 360

x = 24

Answer:

x=24

Step-by-step explanation:

2x+6x+7x=360
15x=360

15x/15=360/15
x=24

2 Answers:

====================================

Explanation:

The left and right walls are mirror copies of one another, and they are also copies of the cross section as well. Think of a subdivision to divide one room into two smaller ones. That middle wall is the same as the left and right walls of the original larger room. Effectively, those two smaller rooms are blocks of their own we can pull apart or cut.

the value of -4*2 is -8 jdjdjdjdhdhdjdjdjdhdh

Answer:

Step-by-step explanation:

take the -4 then times it by 2 and you will get -8

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

Answer:

I think the answer is 20 sq.inches

Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

Original statement: The grass is wet because it was raining.

Contrapositive statement: It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

Answer:

y-3 = (1/4)x; 4y = -4x +14; y=4

Step-by-step explanation:

>First find the equation of function A

general equation of a line is y=mx+b

m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7)  = 1/2

consider the point (-7,0)

0 = -7(1/2) +b

7/2 = b

Function A has the equation y= (1/2)x +7/2

>rewrite the equations to fit the standard form

y-3 = (1/4)x ; add 3 to both sides

y= (1/4) x +3

4y = -4x +14 ,divide by 4 both sides

y= -x + 7/2

y=4

> intercept less than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y= (1/4) x +3 is 3

3  < 7/2, so the answer is y-3 = (1/4)x

> intercept equal to A

y-intercept for function A , y= (1/2)x +7/2, is  7/2

y-intercept for function y= -x + 7/2 is 7/2

7/2=7/2 , so the answer is 4y = -4x +14

> intercept greater than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y=4 is 4

4 > 7/2

Answer:

A. 41

B. 1,590

C. .1

Step-by-step explanation:

A.

the equation is l*w=A

9.2*4.5=A

41.4=A

rounded it would be 41

B.

the equation is pi*r^2=A

3.14*22.5^2=A

3.14*506.25=A

1,589.6=A

^round this up to get 1,590

C.

what I did was use a*b/2 to find one side then add the other side (less complicated in my opinion)

.5*.2/2=A

.1/2=A

.05=A

.05+.05=0.1

Answer:

[tex]\text{a. }41.4\:\mathrm{m^2},\\\text{b. }1590.4\:\mathrm{cm^2},\\\text{c. }0.1\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part A:

The figure implies a rectangle. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex].

What we're given:

Therefore, the area of the rectangle is [tex]9.2\cdot 4.5=\boxed{41.4\:\mathrm{m^2}}[/tex]

Part B:

The figure shows a circle. The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. In the figure, the diameter is marked as 45 cm. To find the radius, we must divided this by 2, because by definition, the radius if half the diameter. Therefore, [tex]r=\frac{45}{2}=22.5\:\mathrm{cm}[/tex] and the area of this circle, rounded to the nearest tenth, is [tex]22.5^2\pi=1590.43128088\approx \boxed{1590.4\:\mathrm{cm^2}}[/tex]

Part C:

The figure shows a triangle (polygon with three sides). The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=\frac{1}{2}bh[/tex].

What we're given:

Substituting given values, we get:

[tex]A=\frac{1}{2}\cdot 0.4\cdot 0.5=\boxed{0.1\:\mathrm{m^2}}[/tex]

Answer:

Angle 1)  S = 12

Angle 2) Y = 18

Angle 3) R = 27

Angle 4) Z = 15

Angle 6) X = 13

Step-by-step explanation:

Angle 1

is a right angle, 90, use this to find s also

90 = (16s - 102)

90 + 102 = 16s

192/16 = s

12 = s

Angle 6

Angle 6 = 180

180 = 12x+24

180 - 24 = 12x

156 / 12 = x

13 = x

Angle 2

Angles 2 and 4 are a total of 90

Use this to find y

90 = (4y-9) + (y+9)

90 + 9 - 9 = 5y

90 = 5y

90/5 = y

18 = y

Angle 4

Angle 4 and 3 will be the same, us this to find z

2z - 3 = 4z - 33

2z - 3 - 4z = -33

-2z  = - 30

z = 15

Angle 3

3 and 5  together from 180

this mean

r + 5r + 18 = 180

6r = 180 - 18

6r = 162

r = 162 / 6

r = 27

Answer:

y = 1(x - 1)^2 + 34

yes it is meant to say 34, not 35.

Step-by-step explanation:

Vertex P(1, 34)

Y-intercept P(0, 35)

Answer:

Step-by-step explanation:

1B

Answer:

The answer is 3 for the above question

Answer:17

Step-by-step explanation:

Cm+cq=mq (m nằm giữa c và q)

Answer:

Step-by-step explanation:

LavLa inversa del coseno es

a. El arcoseno

b. El arcocoseno

c. La secante

La inversa del coseno es

a. El arcoseno

b. El arcocoseno

c. La secante

La inversa del coseno es

a. El arcoseno

b. El arcocoseno

c. La secante

inversa del coseno es

a. El arcoseno

b. El arcocoseno

c. La secante

Answer:

1. 3/8

Step-by-step explanation:

Total tossed times = 3

Total Possibilities = 8

Possibilities = (Head, Head, Head), (Tails,Tail,Tails), (Head,Head,Tails), (Head,Tail,Head), (Tails,Head,Head), (Head,Tail,Tail), (Tail,Tail,Head), (Tail,Head,Tail)

Number of options with a head and two tails = 3

So, Probability = Number of correct options ÷ Number of total possibilities

= 3 ÷ 8 or 3/8

Answer:

well the volume of a sphere is V = 4/3 x pie x r3 so the radius is half of the diameter so that would be 8 not going to show work but the answer is 2144.66

9514 1404 393

Answer:

  BC = 6

Step-by-step explanation:

Tangents from the same point are congruent, so ...

  2x = x+3

  x = 3 . . . . . . . subtract x

  BC = x+3 = 3+3 = 6 . . . . . . substitute for x

The length of BC is 6.

Answer:

there will be about 115 customer

Step-by-step explanation:

the y intercept is 2.5

(0,2.5)  (100 ,35)

the slope is (y2-y1)/(x2-x1)

m = (35-2.5)/(100-0)

m= (32.5)/100

m = .325

y = mx+b

y = .325x+2.5

let y =40  for 40 cars in all the spot

40 = .325 x + 2.5

subtract 2.5

37.5 =.325 x

divide by .325

37.5 /.325 = x

115.4 = x

there will be about 115 customer

Answer:

Length arc AB = 3.14 in

Step-by-step explanation:

Length of arc AB = central angle/360 * 2πr

Central angle = 30°

Radius (r) = 6 in.

Substitute

Length of arc AB = 30/360 * 2*π*6

Length arc AB = 3.14 in. (Nearest tenth)

Answer:

3.14

Step-by-step explanation:

its just right

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.