Kevin wants to buy a cow but can't afford
the $36 it costs. Later in the year it is at an
affordable $9 and Kevin can buy it. What
percentage of a discount was on the cow?

Answer:

b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

e) [tex]\tan(B) = 1[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

The true statement about B

The given options show that we determine the correct trigonometry ratio of B.

So, we have:

[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]

This gives:

[tex]\cos(B) = \frac{a}{c}[/tex]

Where:

[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]

[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]

Also:

[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]\sin(B) = \frac{b}{c}[/tex]

Where:

[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]

[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]

3 cancels out

[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]

Rationalize

[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]

[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]

Lastly:

[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]

This gives:

[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]

[tex]\tan(B) = 1[/tex]

Hence, (b) and (e) are true

Answer:

its A

Step-by-step explanation:

took the quiz

Answer:

74 and 76

Step-by-step explanation:

I'm pretty sure

Answer:

8 and 9

Step-by-step explanation:

8 x 8 = 64

9 x 9 = 81

75 is the number between 64 and 81

9514 1404 393

Answer:

  30 ft

Step-by-step explanation:

The width is 5 ft. The length is twice that, so is 10 ft. The perimeter is given by the formula ...

  P = 2(L +W)

  P = 2(10 ft + 5 ft) = 2(15 ft)

  P = 30 ft

The perimeter of the rectangle is 30 feet.

Answer:

52.5

Step-by-step explanation:

Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!

Answer:

We conclude that the mean age of average viewer has changed

Step-by-step explanation:

H0 : μ = 43

H1 : μ > 43

The test statistic :

(xbar - μ) ÷ σ/sqrt(n)

Sample size, n = 100

xbar = 45 ; σ = 5

Test statistic :

(45 - 43) ÷ 5/sqrt(100)

2 ÷ 0.5 = 4

The Pvalue :

P(Z < 4) = 0.000032

Pvalue < α

0.000032 < 0.05 ; Hence, we reject the Null

We conclude that the mean age of average viewer has changed

Answer:

3-15

Step-by-step explanation:

Answer:

12

Step-by-1step explanation:

THE RANGE IS THE BIGGEST NUMBER MINUS THE SMALLEST NUMBER SO 15 - 3 = 12 (sorry for caps lock)

Hope this helps!! Have a great day and don't forget, you are loved.

Answer:

216

Step-by-step explanation:

area of one side-6x6=36. 36x6=216

https://discord.com/channels/831320243858178088/831320244437254146/831690199184179221Step-by-step explanation:

9514 1404 393

Answer:

  51°

Step-by-step explanation:

The angles where the expressions are given are a linear pair, so total 180°.

  (3x +15) +(10x +9) = 180

  13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms

  x = 156/13 = 12

Then the acute angle is ...

  3x +15 = 3(12) +15 = 36 +15 = 51

The stairs make an angle of 51° with the basement floor.

_____

Additional comment

Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.

Answer:

18

Step-by-step explanation:

1 ft=12in

3ft=36in

divide 36 by 2 and you get 18

Answer:

B and E

Step-by-step explanation:

15 divided by 12 is =1.25

1.25 ti.es 36 rooms =45 hours

Answer:

ok... i got all A's in math this year so far

Step-by-step explanation:

Sure, but I might get some wrong so don't blame me :)

Answer:

[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]

Step-by-step explanation:

volume of the right rectangular prism

[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]

Answer: The volume is 148 3/4 in3.

Step-by-step explanation:

V= l*w*h      

V= 10* 4 1/4* 3 1/2

V= 148 3/4

834,692

If the number is less than 5, you keep the the 90 the same.

If the number is more than 5, the new number would be 834,700.

The answer is

Answer:

Option 2, v plus 5 greater or equal than 9

Step-by-step explanation:

For inequality represented by option 2 i.e v plus 5 greater or equal than 9

v+5 >= 9

If we put v =4 in above inequality, we get

4+5>= 9

9>= 9

Hence, option 2 is correct

Answer:

Option 2

Step-by-step explanation:

Answer:

Its English :))))))

Answer:

i would go fro the first one

Step-by-step explanation:

its asking whitch maple have the more absolute deviations

Answer:

14- 1/5

15- 9/20

16- 11/20

Step-by-step explanation:

Answer:

[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Step-by-step explanation:

In order to solve this we can start by drawing a sketch of the problem (see attached picture)

So fist, let's take the general form of a sinusoidal movement:

[tex]y=Asin(\omega x+\phi)+b[/tex]

where:

A= amplitude

[tex]\omega[/tex]= angular frequency

x= time

[tex]\phi[/tex] = horizontal shift

b= vertical shift.

In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:

A= 13in - 0.5in =12.5 in

The angular frequency is how many radians the wheel will turn in a minute, so we get:

[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]

[tex]\omega=180\pi rad/min[/tex]

Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:

[tex]\phi=-\frac{\pi}{2}[/tex]

and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:

b=13in

so when putting it all together we get our equation to be:

 [tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Answer: yx (4)(12) / 8

Step-by-step explanation:

Answer:

1. What is an inverse proportion equation that represents this situation?

y=48/k

2. How many crackers will each person get if 8 people are sharing the crackers?

6 crackers

Step-by-step explanation:

1. What is an inverse proportion equation that represents this situation?

The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.

When there are 4 people, each person gets 12 crackers:

y=k/x

12=k/4

48=k

Therefore, our equation is y=48/x

2. How many crackers will each person get if 8 people are sharing the crackers?

y=48/x, where y is the number of cracker and x is the number of people.

y=48/8

y=6

Answer

61

Step-by-step explanation:

subtract 180-73.8-46.2

Answer:

The value of z is 26.6

Step-by-step explanation:

72.6 - 46.2=26.6

54 = 6n     divide 6 on both sides, 6's will cancel on the right.

__    __     solve for 54 ÷ 6 = 9

6      6

n = 9, choice 4 -- final answer

hope this helps :)

The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

As per the given equation,

54 = 6n

Divide by 6 into both sides,

n = 9

Hence "The solution of the given equation 54 = 6n will be 9".

For more about the equation,

brainly.com/question/10413253

#SPJ2

Answer:

It is 15!

Step-by-step explanation:

Therefore the answer is x=15 :)

I don't know all of them I guess since I can't see the graphs

Answer:

The graph of the direct variation equation is a straight line through the origin.

Step-by-step explanation:

Volume of a cone = pi x r^2 x h/3

Volume = pi x 4^2 x 6/3

Volume = 32pi cubic inches ( in.^3)

Answer:She has to pay $20078.7 amount.

Step-by-step explanation:

Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.

To find : How much will she pay altogether?

Solution :

Using compound interest formula,

A = P(1 + r)

Where A is the amount

P is the principle P=17,000

P is the rate r=4.25%=0.0425

t is the time t= 4 years

Substitute the value,

Therefore, She has to pay $20078.7 amount.