Tom went to a car mart to buy a car. He saw only 3 different brands of cars. He saw a total of 24 Toyotas, 6 BMWs and 18 Audis. What is the ratio from BMW to Toyota to Audi?

Answer:

The length of AC is 12.08 cm.

Step-by-step explanation:

Given:

In triangle ABC, AB = 8.2 cm, C = 13.5 cm and angle A = 81 degrees.

Solution:

https://brainly.com/question/21977218

This is erinna's answer, no need to thank me, thank her instead

Using Law of Sines, we get

Using angle sum property, we get

Now,

Therefore, the length of AC is 12.08 cm.

The length of the side AC of the triangle ABC whose side AB is of 8.2 cm and side BC is of 13.5 cm length with angle A of 81° is 12.1 cm approx.

Let there is triangle ABC such that |AB| = a units, |AC| = b units, and |BC| = c units and the internal angle A is of θ degrees, then we have:

[tex]a^2 + b^2 -2ab\cos(\theta) = c^2[/tex]

(c is opposite side to angle A)

When one angle and two sides of a triangle are known, and we want to know the length of the remaining third side, then we can use the law of cosines.

We're specified that:

Let the third side's length = |AC| = b cm (don't mix this notation with the notation of the formula said above. We just used notation such that its the smaller case version of the vertex opposite to that side, for example, opposite to AC lies b).

For using formula, we just need to take care that the angle θ is the angle opposite to the side which is going to be on one side (the notation c^2 in the formula given and here since we know the angle A, so the side opposite to A which is BC will be used in one side of the cosine rule, as shown below).

The side opposite to the angle A is BC, thus, we get:

[tex]|BC|^2 = |AB|^2 + |AC|^2 -2|AB||AC| \cos(m\angle A)\\\\13.5^2 = 8.2^2 + b^2 -2(8.2)b \cos(81^\circ)\\\\b^2 - 2.566 b - 115.01 \approx 0\\\\b \approx \dfrac{2.566 \pm \sqrt{2.566^2 - 4(-115.01)}}{2}\\\\b= 12.0835, -9.5175[/tex]

b represents side length, therefore positive. Thus, we obtained the length of the side |AC| approximately 12.1 cm

Thus, the length of the side AC of the triangle ABC whose side AB is of 8.2 cm and side BC is of 13.5 cm length with angle A of 81° is 12.1 cm approx.

Learn more about law of cosines here:

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Answer:

4/27

Step-by-step explanation:

F(x) = 4(1/3)^x

Let x =3

F(3) = 4(1/3)^3

Exponents first

F(3) = 4 * 1/27

Then multiply

f(3) = 4/27

Answer:

4/27

Step-by-step explanation:

f(x) = 4(1/3)^x

f(3) = 4(1/3)^3

f(3) = 4(1/27)

f(3) = 4/27

hope that helps

Answer:

x=37

Step-by-step explanation:

50+24=74

74/2=37

Answer:

(3)(5) + (1/3)(5) + (3)(1/4) + (1/3)(1/4)

Step-by-step explanation:

I'm pretty sure that's the correct answer..

As per the following steps the expression [tex]3\frac{1}{3}+5\frac{1}{4}[/tex] has the solution 18.

The question is incomplete I provided the complete problem in the image below.

A fraction is a number that in mathematics represents a portion of a whole. There are two parts: a numerator and a denominator. The denominator is the total number of pieces that make up the whole, while the numerator is the number of equally sized portions of the whole.

[tex]3\frac{1}{3}\times 5\frac{1}{4}\\=3\frac{1}{3}\times(5+\frac{1}{4})\\=3\frac{1}{3}\times5+3\frac{1}{3}\times\frac{1}{4}\\=(3+\frac{1}{3})\times 5+(3+\frac{1}{3})\times \frac{1}{4}\\=3\times5+\frac{1}{3}\times 5+3\times\frac{1}{4}+\frac{1}{3}\times\frac{1}{4}\\=15+\frac{5}{3}+\frac{3}{4} +\frac{1}{12}[/tex]

In this manner, we solve our problem.

We find the solution to the expression [tex]3\frac{1}{3}\times 5\frac{1}{4}[/tex] and get

[tex]15+\frac{5}{3}+\frac{3}{4} +\frac{1}{12}\\= 15+\frac{20+15+1}{12}\\=15+\frac{36}{12}\\[/tex]

= 15+3= 18

Hence, the solution of the expression is 18.

Learn more about fractions here-

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Answer:

$45

Step-by-step explanation:

$7.50 * 4 = $30

$15 + $30 = $45

Hope this helps

Answer:

The answer is $45 because it costs $15 a month and $7.50 for a premium movie channel and Josh buys 4 so 7.50 x 4= 30

15 +30 = 45

Step-by-step explanation:

Answer:

20m^2

Step-by-step explanation:

multiply the side lengths

Answer: 79 more

Step-by-step explanation:

Step-by-step explanation:

To find the equation of a parabola we need to have 3 points. The intercept of the X axis is the X intercept. The definition of an intercept is when the other value is equal to zero. (3,0) and (9,0)

There appears to not be enough points to answer your question. we also need a vertex

Answer:

lsu is there to help you with this question

Step-by-step explanation:

A.

Step-by-step explanation:

It is A because the person left, which would cause the distance to become greater, then ate a meal which would cause them to stop. Finally, the person went back home, which would cause the distance to decrease.

Answer:

a

Step-by-step explanation:

Answer:

B. [tex]\frac{x + 6}{10x}[/tex]

Answer:

i think its 110

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

123 X 8000 = 984000

984000/48 = 20500(PUT EURO SIGN)

Answer:

37cm = 370 millimeters

37cm = 0.37 meter

37cm = 0.00037 kilometers

Step-by-step explanation:

[tex]1cm = 10 millimeters \\\\1 cm = \frac{1}{100} meter\\\\1cm = \frac{1}{100000} kilometer\\\\[/tex]

37cm = 370 millimeters

37cm = 0.37 meter

37cm = 0.00037 kilometers

Answer:

$1.50/bar

Step-by-step explanation:

The constant of proportionality is $1.50/bar:  each bar costs $1.50.

Answer: c

Step-by-step explanation:

Answer:

I think its distributive

Step-by-step explanation:

I'm not sure correct me if I'm wrong

Answer: that’s 5

Step-by-step explanation:

Answer:

[tex] \displaystyle b = - 14[/tex]

[tex] \displaystyle c = - 54[/tex]

Step-by-step explanation:

to figure out b we can consider the following formula:

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

the form of vertex coordinate given by

[tex] \displaystyle (h,k)[/tex]

so according to the question

[tex] \displaystyle (h,k) = ( - 7, - 5)[/tex]

by order pair we obtain:

[tex] \displaystyle h = - 7, k = - 5[/tex]

now substitute the value of h and a to the formula:

[tex] \displaystyle \frac{ - b}{2(- 1)} = - 7[/tex]

simplify multiplication:

[tex] \displaystyle \frac{ - b}{ - 2} = - 7[/tex]

cross multiplication:

[tex] \displaystyle - b = 14[/tex]

divide both sides by -1:

[tex] \displaystyle b = - 14[/tex]

now we need to figure out C to do so substitute -7 for x and -5 for y which yields:

[tex] \displaystyle - {7}^{2} - 14( - 7) + c = - 5[/tex]

simplify square:

[tex] \displaystyle -49 - 14( - 7) + c = - 5[/tex]

simplify multiplication:

[tex] \displaystyle -49 + 98+ c = - 5[/tex]

simplify addition:

[tex] \displaystyle 49+ c = - 5[/tex]

cancel 49 from both sides:

[tex] \displaystyle c = - 54[/tex]

hence,

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[tex]\quad\quad\quad\quad\tt{ a{x}^{2} + bx + c}[/tex]

[tex]\quad\quad\quad\quad\tt{ a \: = - 1}[/tex]

[tex]\quad\quad\quad\quad\tt{ h = - 7}[/tex]

[tex]\quad\quad\quad\quad\tt{ k \: = - 5}[/tex]

[tex]\quad\quad\quad\quad\tt{y = a(x - h {)}^{2} } + k[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 1(x - ( - 7) {)}^{2} } + ( - 5)[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 1(x + 7 {)}^{2} } - 5[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{y = - {x}^{2} - 14x - 54}}[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{ \boxed{ \color{magenta}{b = - 14}}}}[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{ \boxed{ \color{magenta}{c = - 54}}}}[/tex]

[tex]\quad\quad\quad\quad\tt{ - 7 = \frac{b}{2(a)} }[/tex]

[tex]\quad\quad\quad\quad\tt{ - 7 = \frac{b}{2(-1)} }[/tex]

[tex]\quad\quad\quad\quad\tt{ - 7 = \frac{b}{-2} }[/tex]

[tex]\quad\quad\quad\quad\tt{ (- 2)( - 7) = - b }[/tex]

[tex]\quad\quad\quad\quad\tt{ \frac{ (- 2)( - 7)}{ - 1} = b }[/tex]

[tex]\quad\quad\quad\quad\tt{ \frac{ 14}{ - 1} = b }[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{ - 14 = b }}[/tex]

[tex]\quad\quad\quad\quad\tt{y = - {(-7)}^{2} - 14(-7) - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 49 +98 - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{y = - 49 +98 - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{y = 49 - 54}[/tex]

[tex]\quad\quad\quad\quad\tt{ \boxed{y = - 5}}[/tex]

[tex]\quad\quad\quad\quad\tt\huge{ \boxed{ \boxed{ \color{magenta}{b = - 14}}}}[/tex]

[tex]\quad\quad\quad\quad\tt\huge{ \boxed{ \boxed{ \color{magenta}{c = - 54}}}}[/tex]

___________________________________

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✍︎ C.Rose❀

Answer:

question one:

x = 6.018150231520483

adjacent angle = 7.986355100472928

Step-by-step explanation:

i have no links, but try to search triginometry calculator and pick carbide calculator for fast trigonometry calculations

it automaticly does sin, cos, and tan for you.

Answer:

There are no graphs

Step-by-step explanation:

"what graph below best represents the range for a tip "

Brian

120 * .2 = 24

24 < d

Hayden

120 * .25 = 30

d ≤ 30

24 < d ≤ 30

Answer:

x = 1.5 or 3/2

Step-by-step explanation:

It simplified to x= 3/2, which is 1.5 in decimal form

Hope this helps:)

Given:

Consider the dimensions of the rectangle are [tex](x^2+7x-9)[/tex] and [tex](3x^2-2x)[/tex].

To find:

The perimeter in terms of x, of the rectangle.

Solution:

Let the length of the rectangle be [tex](x^2+7x-9)[/tex] and the width of the rectangle is [tex](3x^2-2x)[/tex] units.

The perimeter of a rectangle is:

[tex]P=2(l+w)[/tex]

Where, l is the length and w is the width of the rectangle.

Substituting [tex]l=(x^2+7x-9)[/tex] and [tex]w=(3x^2-2x)[/tex] in the above formula, we get

[tex]P=2((x^2+7x-9)+(3x^2-2x))[/tex]

[tex]P=2(4x^2+5x-9)[/tex]

[tex]P=2(4x^2)+2(5x)+2(-9)[/tex]

[tex]P=8x^2+10x-18[/tex]

Therefore, the perimeter of the rectangle is [tex]8x^2+10x-18[/tex] units.

Answer:

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{100})[/tex]

Step-by-step explanation:

Given

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)[/tex]

Required

The sum

Using the laws of logarithm, we have:

[tex]\log(a) + \log(b) = \log(ab)[/tex]

Take the first two terms of the series

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{2} * \frac{2}{3})[/tex]

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{3})[/tex]

Include the third term

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{3} * \frac{3}{4})[/tex]

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{4})[/tex]

Include the fourth term

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{4} *\frac{4}{5})[/tex]

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{5})[/tex]

Notice the following pattern

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3}) = \log(\frac{1}{3})[/tex] ---------------- n =2

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) = \log(\frac{1}{4})[/tex] -------------- n = 3

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ \log(\frac{3}{4}) + \log(\frac{4}{5}) = \log(\frac{1}{5})[/tex] ----------- n = 4

So the sum of n series is:

[tex]\log(\frac{1}{2}) + \log(\frac{2}{3})+ ............ + \log(\frac{n}{n+1}) = \log(\frac{1}{n+1})[/tex]

So, the sum of the series is:

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right)[/tex]

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{99+1})[/tex]

[tex]\log\left(\frac{1}{2}\right)+\log\left(\frac{2}{3}\right)+\log\left(\frac{3}{4}\right)+\log\left(\frac{4}{5}\right)+...+\log\left(\frac{98}{99}\right) +\log\left(\frac{99}{100}\right) = \log(\frac{1}{100})[/tex]

Answer: 500 yd

Step-by-step explanation: took the test

Step-by-step explanation:

answer is in photo above

Answer:

0.25

Step-by-step explanation:

f(1)=(1/4)^1

0.25

Answer: the answer is C