2. Find the values of the six trigonometric functions for angle 0, when AC = 10 and BC = 8.

Answer:

B

Step-by-step explanation:

Answer:

25 cm^2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Area if a square = length²

225 =  length²

length = √225

length = 15

if the map is drawn to scale of 1 : 3

the length on the map = 15/3 = 5

area of the square 5 x 5 = 25

Answer:

A) y=-1/2x+55

Step-by-step explanation:

We can clearly see a negative trend/association between the number of hot drinks sold on a given  day and the low temperature of that day. Therefore, the slope of the best line of fit must be negative, eliminating D and E. Also, notice that when the low temperature is 0°F, the number of hot drinks sold is about 55, which is a good indicator of our y-intercept or constant, eliminating choice C. Because the best line of fit is not so steep, the slope will be closer to 0 if it's a negative trend. This eliminates choice B, making the correct answer A.

Answer:

area-  628    

circumference- 62.8

Answer: 235.5 feet

Step-by-step explanation:

In this case, we have to calculate the circumference of the track. The circumference will be calculated as:

= 2πr

Diameter = 75 feet.

Radius = 75/2 = 37.5 feet

Circumference = 2πr = 2 × 3.14 × 37.5 = 235.5feet

Answer:

( 4, -1 )

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

(2,0) -> (6, -2) requires a transition of (+4, -2) now we divide the new number by 2 to find the amount changed from each side (+2,-1) then we add that to the original point (2,0) to get (4,-1)

we have

using a graphing tool

see the attached figure

This is a quadratic equation (vertical parabola) open up

The vertex is a minimum---------> Vertex

The domain of the function is all real numbers-------> interval (-∞,∞)

The range of the function is the interval----------> [-6.125,∞)

The function has two x-intercepts----->  and

The function is increasing over the interval-----> (0.25,∞)

The function is decreasing over the interval-----> (-∞,0.25)  

Answer:

the range of function is all real numbers,

and the function has 2 x intercepts

Step-by-step explanation:

super easy way to do it, look for an i in your equation, if there is none, and you dont take the square root of a negative number, all answers are real. then you can see that you function crosses the x-axis twice, meaning you have two x-intercepts

Answer:

11/30, 2/5, 7/15, 1/2

Step-by-step explanation:

2/5= 0.4

11/30= 0.36

1/2= 0.5

7/15= 0.46

Answer:

CI 90 %  =  [ 0,05  ;  0,16 ]

Step-by-step explanation:

From sample we got

n  =  110

x  =  21

p =  21/110  =  0.19      then   q  =  1  -  p   q  =  1  -  0.19   q  = 0.81

To create a 90 % confidence Interval, the significance level α  = 10 %

α = 0.1    α/2  =  0.05

t(c) for   α/2  =  0.05    is from z-table    z(c) = 1.64

CI 90 %  =  (  p  ±   z(c) * √(p*q)/n

CI 90 %  =   [  0,11 ±  1.64 * √ (0.19*0.81)/110 ]

CI 90 %  =  [ 0.11  ±  1.64 * 0.037 ]

CI 90 %  =  [ 0.11  ±  0,06 ]

CI 90 %  =  [ 0,05  ;  0,16 ]

Answer:

a

Step-by-step explanation:

Answer:

The answer would be A .......

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length [tex] \sqrt{(x2-x1)²+(y2-y1)²} [/tex]

now

AB:[tex] \sqrt{(-2-0)²+(3+3)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

BC:[tex] \sqrt{(0-4)²+(-3-5)²} [/tex]=[tex] 4\sqrt{5} [/tex]units

AC:[tex] \sqrt{(-2-4)²+(3-5)²} [/tex]=[tex] 2\sqrt{10} [/tex]units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

([tex] 4\sqrt{5} [/tex])²=2p²

16*5=2*([tex] 2\sqrt{10} [/tex])²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

Answer:

You would divide it into shapes that you already know, like squares, rectangles and triangles. Find the area of each shape and add them together.

Its pretty simple once you understand it

dont be afraid to ask me if you need some help.

Have a wonderfull day

Answer:

39.1

Step-by-step explanation:

31.7 + 42.8 + 26.4 = 100.9

35 times 4 = 140

140 - 100.9 = 39.1

Answer:

[tex]mean = \frac{31.7+42.8+26.4+x}{4} \\\\35 = \frac{31.7+42.8+26.4+x}{4} \\\\\\35*4 = 31.7+42.8+26.4+x \\\\140 = 100.9 + x\\\\x= 39.1[/tex]

option 3

9514 1404 393

Answer:

  24 cm^2

Step-by-step explanation:

The base of ∆Z is 4 cm, and its height is 12 cm. The area is given by the formula ...

  A = 1/2bh

  A = 1/2(4 cm)(12 cm) = 24 cm^2 . . . area of Z

Answer:

After 3 visits both plans will cost the same.

Step-by-step explanation:

Gym A costs $26.76 plus an additional $4 for each visit.

Gym B has no initial fee but costs $12.92 for each visist.

The cost for gym A can be written as

C= $26.76 + 4(x)  where x is the number of visits to the gym A

The cost for gym B can be written as

C= $12.92 (x)  where x is the number of visits to the gym B

Both costs will be equal

12.92x= 26.76 +4x

12.92x-4x= 26.76

8.92x= 26.76

x= 26.76/8.92

x= 3

after 3 visits both plans will cost the same.

Check

12.92x= 26.76 +4x

12.92*3= 26.76 +12

38.76= 38.76

Answer:

The correct answer to the problem is 9

Step-by-step explanation:

3 x- 1 = 26

3 x = 27

x = 9

Answer:

Probability that one of them is mathematics and other two are either physics or history books = 0.51

Step-by-step explanation:

Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

To find - What is the probability one of them is mathematics and other two are either physics or history books ?

Solution -

Given that,

A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.

So,

Total number of books = 3 + 3 + 1 = 7

The student has to select 3 books

So, Total number of ways = [tex]^{7} C_{3}[/tex] = 35

So,

Probability that one of them is mathematics and other two are either physics or history books is -

= [tex]\frac{^{3} C_{1}. ^{4} C_{2} }{^{7} C_{3}}[/tex]

= [tex]\frac{(3)(6)}{35}[/tex]

= [tex]\frac{18}{35}[/tex]

= 0.51

⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51

Answer:

1/243 or 0.00411522…

Answer:

It started from the Origin(Sine graph). It curved upwards immediately it started... Meaning graph's amplitude is gonna be positive one

The Equation for a sine graph is ASin[B(x-C)] + D

A=Amplitude

B= 2π/period

C= c value at the starting point.

D= y value at starting point

Let your Starting point be at the sinusoidal axis (Max + Min)/2.

Looking at this graph

Let's take 1cm on the y axis to be 1unit(1,2,3,4...)

On the x axis... let's take 1cm to be π units(π,2π,3π....)

To get the sinusoidal axis Max - Min/2

Since 1cm is 1unit

Max =1 (from the graph)

Min= -1

1-1/2 = 0

The axis is at the center of middle

Meaning

D=y=0(Its directly at the x axis)

From this axis at the origin... The graph goes... Intercept Maximum... intercept Minimum... Meaning its a Positive sine graph.

A=amplitude = 1cm

B=Period...(Time to complete one Oscillation)

It doesn't fall directly on an x value... It falls at the 1.9th position. or 19/10

B=2π/Period.

B=2π/19/10

B=2π x 10/19

B=20π/19

C=0

Writing the Equation

Y= 1Sin[20π/19(x-0)] +0

ie

Y = Sin [20πx/19]

My thoughts on it

Correct me if wrong... Thanks

Answer:

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution

Step-by-step explanation:

From the given options the parameters of the equations are;

The slope of the equations are the same

The y-intercept of the equations are different

Therefore, the lines of the two equations ae parallel and there are no points of intersection of the two equations and therefore no solutions

The best correct option is therefore option C.;

C. Ben is incorrect. Since the equations have the same slope and different y-intercepts, the system has no solution.

Answer:

D

Step-by-step explanation:

Answer:

-16x-7

Step-by-step explanation:

you distribute the -4, then combine like terms, that is about it, here is a picture of everything i did

Answer:

The discriminant is 0

There is 1 real solution

Step-by-step explanation:

Use the discriminant formula, D = b² - 4ac

In the equation y = x² - 4x + 4, a is 1, b is -4, and c is 4.

Plug in these values into the formula:

D = b² - 4ac

D = (-4)² - 4(1)(4)

D = 16 - 4(4)

D = 16 - 16

D = 0

So, the discriminant is 0.

With a discriminant of zero, there is one real solution.

So, the number of real solutions is 1.

Answer:

10

Step-by-step explanation:

tan30°=P/B

tan30°=P/10√3

1/√3=P/10√3

1/√3×10√3=P

.:P=10

j = 10

Step-by-step explanation:

use the definition of tangent of an angle:

tan 60 = opp/hyp = (10√3)/j

Solving for j,

j = (10√3)/tan 60

But tan 60 = √3 so we can write j as

j = (10√3)/√3

= 10

Answer:

20 ft squared

Step-by-step explanation:

The base is the bottom and I multiply 5ft and 4ft and you get 20ft squared