Find c.
Round to the nearest tenth.
7 ft
с
320
8 ft
c = [?]ft
Law of Cosines: c2 = a2 + b2 - 2ab cos C

Answer:

$16

Step-by-step explanation:

20% is the same as 0.2 in decimal form, since its decreasing you multiply $20 by 0.8 to get 16. If it was increasing, it would be 20 times 1.2

Answer:

$16.00

Step-by-step explanation:

This is the answer because:

1) Since the price decreases by 20%, we have to first figure out what 20% of $20 is:

20% of $20 = 4

2) Next, we just have to subtract 4 from 20 so we can find out how much the cost is:

$20.00 - 4 = $16.00

Therefore, the answer is $16.00.

Hope this helps! :D

Answer:

[tex]f^{-1}[/tex](x) = x - 3

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x + 3 (subtract 3 from both sides )

y - 3 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus

[tex]f^{-1}[/tex](x) = x - 3

Option B is the correct answer.

2(-22+20)

=> -44+40

Hope it helps!

Answer:

Both of them are correct....

Answer:

the area of ∆DEF = 6 cm²

Step-by-step explanation:

The midpoint theorem states that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.

DE // BC and DE = BC/2 = 10/2 = 5

same reason: DF = AC/2 = 4

FE = AB/2 = 3

DF² + FE² = 16 + 9 = 25 = 5² = DE²

by the Pythagorean theorem, ΔDFE is a right triangle

area ΔDEF = (3 x 4) / 2 = 6 cm²

Answer:

its a i did it on egn

Step-by-step explanation:

Answer:

y = -4/5 x - 5

Step-by-step explanation:

Answer:

1) The expected value of the "winnings" is $(-0.97[tex]\overline 2[/tex])

2) The variance for the "winnings" is $0.57966

3) The standard deviation for the "winnings" is$0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Step-by-step explanation:

1) The probability of having a sum of 2 = 1/6×1/6 = 1/36

The probability of having a sum of 3 = 1/6×1/6 = 1/36

The probability of having a sum of 4 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 5 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 6 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 7 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 8 = 1/6×1/6 + 1/6×1/6 + 1/6×1/6 = 1/12

The probability of having a sum of 9 = 1/6×1/6 + 1/6×1/6  = 1/18

The probability of having a sum of 10 = 1/6×1/6 + 1/6×1/6 = 1/18

The probability of having a sum of 11 = 1/6×1/6  = 1/36

The probability of having a sum of 12 = 1/6×1/6  = 1/36

The values are;

For 2, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 3, we have 1/36 × (20 - 5) = 0.41[tex]\overline 6[/tex]

For 4, we have 1/18 × (20 - 5) = 0.8[tex]\overline 3[/tex]

For 5, we have 1/18 ×  (10 - 5) = 0.2[tex]\overline 7[/tex]

For 6, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 7, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 8, we have 1/12 × (10 - 5) = 0.41[tex]\overline 6[/tex]

For 9, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 10, we have 1/18 × (-20 - 5) = -1.3[tex]\overline 8[/tex]

For 11, we have 1/36 × (-20 - 5) = -0.69[tex]\overline 4[/tex]

For 12, we have 1/36 × (-25 - 5) = -0.69[tex]\overline 4[/tex]

The expected value of the winnings is given as follows;

0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.8[tex]\overline 3[/tex] + 0.41[tex]\overline 6[/tex] + 0.41[tex]\overline 6[/tex] + -1.3[tex]\overline 8[/tex] -1.3 - 0.69[tex]\overline 4[/tex] - 0.69[tex]\overline 4[/tex] = -0.97[tex]\overline 2[/tex]

Therefore, the expected value = $-0.97[tex]\overline 2[/tex], which is one is expected to lose $0.97[tex]\overline 2[/tex]

2) Using Microsoft Excel, we have;

The variance for the "winnings", σ² = $0.57966

3) The standard deviation for the "winnings" = √σ² = √(0.57966) ≈ $0.761354

4) The game is not a fair game because one is expected to lose $0.97[tex]\overline 2[/tex]

Answer:

The sequence converges

Step-by-step explanation:

Given the sequence Un = 10n-6/2n-3

To determine whether the sequence converges or diverges, we will have to take the limit of the sequence as n goes large.

[tex]\lim_{n \to \infty} \left\{\frac{10n-6}{2n-3}\right}\\[/tex]

Divide through by n

[tex]= \lim_{n \to \infty} \left\{\frac{10n/n-6/n}{2n/n-3/n}\right}\\= \lim_{n \to \infty} \left\{\frac{10-6/n}{2-3/n}\right}\\= \left\{\frac{10-6/\infty}{2-3/\infty}\right}\\= \frac{10-0}{2-0}\\= 10/2\\= 5[/tex]

Since the limit of the sequence gives a finite value, hence the sequence converges

Answer:

g(x) = [x/6]

Step-by-step explanation:

The given graph is f(x)=[x]

On stretching the function f(x) by a factor of 6, the new function g(x) is

g(x) = f(x/6)

So, g(x) = [x/6]

Hence, on stretching the f(x) by a factor of 6, the new function g(x)=[x/6].

Note that none of the given options matched.

Using trigonometric functions, it is found that the correct option regarding the appropriate function is:

B) the sine function unreflected

The most famous are the sine and cosine, which give information about the angles.

In this problem, the rider is at the bottom of the Ferris wheel at t = 0, hence f(0) = 0, which is true for the sine function, which means that option B is correct.

More can be learned about trigonometric functions at https://brainly.com/question/24680641

Answer:

Answer is C, the cosine function reflected about its midline

Step-by-step explanation:

Answer:

Sheldon has to sell at least 143 cups of coffee to purchase the kayak.

Step-by-step explanation:

First write an expression:

15 + 0.25x ≥ 50.75

Next use inverse operations:

15 + 0.25x - 15 ≥ 50.75 - 15

0.25x ≥ 35.75

0.25x ÷ 0.25 ≥ 35.75 ÷ 0.25

x ≥ 143

Sheldon has to sell at least 143 cups of coffee to purchase the kayak.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

143 cups

Step-by-step explanation:

Sheldon gets a flat $15, as well as 25 cents for each cup of coffee made.

He needs $50.75 to buy a Kayak.

Set the equation. Let the amount of cups of coffee = c.

0.25c + 15 = 50.75

Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, subtract 15 from both sides of the equation:

0.25c + 15 = 50.75

0.25c + 15 (-15) = 50.75 (-15)

0.25c = 50.75 - 15

0.25c = 35.75

Next, divide 0.25 from both sides of the equation:

(0.25c)/0.25 = (35.75)/0.25

c = 35.75/0.25

c = 143

Sheldon will need to sell 143 cups of coffee.

~

Step-by-step explanation:

65+5y=82

5y=82-65

5y=17

y=17/5=3.4

3x+23=54

3x=54-23

3x=31

x=31/3=10.3

5z+43=110

5z=110-43

5z=67

z=67/5=13.4

3x+5y+5z3.

3(3.4)+5(10.3)+5(13.4)

10.2+51.5+67

128.7

Answer:

2564

Step-by-step explanation:

Andre draws this tape diagram for 3 divided by 23:

Andre says that 3 divided by 23 = 413 because there are 4 groups of 23 and 13 left. Do you agree with

Answer:

draw a straight line from x point of 2pm up to the line. Then what is the y point of it?

Ill give you an example, for 4pm it's 13C. For 8pm it's 6C. For 9pm it's 8C.

Let me know what you get. And I'll let you know whether it's right or not

yeap praise god

Step-by-step explanation:

BLACK LIVES MSTTER

Answer:

(-2,1)( 1,4 ) (-2,4)

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

1/2 = 0.5

5/8 = 0.625

7/11 = 0.63

2/3 = 0.66

Answer:

[tex]\displaystyle x=\frac{a+b}{c}[/tex]

Step-by-step explanation:

Equations

Solve the equation:

[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}+2=0[/tex]

Subtracting 2:

[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}=-2[/tex]

Multiply by ab to eliminate denominators:

[tex]\displaystyle ab\frac{b-cx}{a}+ab\frac{a-cx}{b}=-2ab[/tex]

Simplifying:

[tex]b(b-cx)+a(a-cx)=-2ab[/tex]

Operating:

[tex]b^2-bcx+a^2-acx=-2ab[/tex]

Subtracting [tex]b^2+a^2[/tex]

[tex]-bcx-acx=-2ab-b^2-a^2[/tex]

Multiplying by -1:

[tex]bcx+acx=2ab+b^2+a^2[/tex]

Factoring:

[tex]c(b+a)x=2ab-b^2+a^2[/tex]

The right side of the equation is the square of a+b:

[tex]c(b+a)x=(a+b)^2[/tex]

Simplifying (for a ≠ -b):

[tex]cx=(a+b)[/tex]

Dividing by c:

[tex]\boxed{\displaystyle x=\frac{a+b}{c}}[/tex]

Answer:

The simplified form is [tex]x^{\frac{2}{3} }[/tex]

Step-by-step explanation:

So before solving this question we need to know that.....

[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]

(proof)

[tex]\sqrt[6]{x}[/tex] = [tex]x^{\frac{1}{6} }[/tex]

[tex](\sqrt[6]{x}) ^{6}[/tex] = [tex](x^{\frac{1}{6} })^{6}[/tex]

x = x

So now we can rewrite the question as.........

[tex](\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} )(\sqrt[6]{x} ) = (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) (x^{\frac{1}{6} }) = x^{\frac{4}{6} } = x^{\frac{2}{3} }[/tex]

Answer:

A

Step-by-step explanation:

x^2/3

Answer:

$52

Step-by-step explanation:

Given that :

Amount charged for shipping and handling = 4.5%

Let cost of order = x

Total amount charged = 54.34

However,

total. Amount charged = (total cost + handling and shipping)

54.34 = x + 0.045x

54.34 = 1.045x

Order total before shipping = 54.34 / 1.045

Order total before shipping = 52

Answer:

Biased

Step-by-step explanation:

I thing this question is a little bias because it could imply that the more cars your family owns, the richer you are. There could be some other instances where this is not the case, but overall this could be taken as bias.

Answer:

8

Step-by-step explanation:

2^3 is 8

Answer:

[tex]slope = \frac{ {y}^{1} - {y}^{o} }{ {x}^{1} - {x}^{o} } \\ for \: points \: given \\ = \frac{11 - 7}{5 - 4} \\ = \frac{4}{1} \\ slope = 4[/tex]

Answer:

m = 4

Step-by-step explanation:

equation of point slope formulae

[tex]y = mx + c[/tex]

m = slope , c = y-intercept

1) find the slope

* use the two coordinates given to find the slope

slope formulae:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

i) (4,7)

x1 = 4

y1 = 7

ii) (5,11)

x2 = 5

y2 = 11

substitute the values into the formulae

[tex]m = \frac{11 - 7}{5 - 4} [/tex]

[tex]m = \frac{4}{1} [/tex]

[tex]m = 4[/tex]

the slope = 4

Answer:

x = 100

Step-by-step explanation:

First we do 30 - 5 which is 25 then we divide by 1/4 which is really multiplying by four so the answer is 100

Answer:

Graph A

Step-by-step explanation:

The line starts at 1 since that is what he began with. Then it grows by two because every year he gets too more.

Answer:

I am pretty sure the answer would be Option B.

Step-by-step explanation:

If you look on the graph, Option B is the one that makes the most sense because it goes up by a ratio of 1:2 just like in the problem, 1 gift train + 2 trains per year.

Option A would not make sense because it goes up by the ratio of 1:3 and doesn't match up with the problem.

Note:

I hope this helps! :) Please correct me if I am wrong.