Use a calculator to find tan 72°. Round to the nearest thousandth.

\(\begin{array}{ccll} \stackrel{cups}{sugar}&cookies\\ \cline{1-2} \frac{3}{4}&24\\[1em] x&18 \end{array}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{x}~~ = ~~\cfrac{24}{18}\implies \cfrac{ ~~ \frac{3}{4} ~~ }{\frac{x}{1}}~~ = ~~\cfrac{4}{3}\implies \cfrac{3}{4}\cdot \cfrac{1}{x}=\cfrac{4}{3} \\\\\\ \cfrac{3}{4x}=\cfrac{4}{3}\implies 9=16x\implies \cfrac{9}{16}=x\)

now, the fraction is not an improper one, thus we can't quite put it in a mixed format, unless you count 0 as its whole, then I guess we can say is \(0\frac{9}{16}=x\)

Answer:

9/16

Step-by-step explanation:

24/6=4

18/6=3

(3/4)x(3/4)=9/16

Step-by-step explanation:

Finding the area of the canvas:

The canvas has sides measuring 3x - 3 and 4x + 1 inches. To find the area, we multiply the lengths of the sides. So, the area of the canvas is given by:

Area = (3x - 3) * (4x + 1)

= 12x^2 + x - 3

Therefore, the correct equation for the area of the canvas is A = 12x^2 + x - 3.

Finding the area of the circle created by the paint:

The rate at which the paint is spreading on the canvas is given by the function r(t) = 4t, where t represents time in minutes and r represents how far the paint has spread. The area of the circle created by the paint can be expressed as A[r(t)] = πr^2, where r(t) is the distance the paint has spread at time t.

Substituting the value of r(t) = 4t into the formula, we get:

A[r(t)] = π(4t)^2

= 16πt^2

Therefore, the area of the circle created by the paint is 16πt^2.

Determining if the circle will be at least 1300 in² in 5 minutes:

To check if the area of the circle will be at least 1300 in² in 5 minutes, we substitute t = 5 into the equation for the area:

A[r(5)] = 16π(5)^2

= 400π

Approximating the value of 400π, we get approximately, 1256.64.

Since 1256.64 is less than 1300, we can conclude that the area of the circle created by the paint after 5 minutes will not be at least 1300 in².

Answer:

126

Step-by-step explanation:

(:

Answer: 0.4 meters

Step-by-step explanation:

2.85 - 2.45 = 0.4

Answer:

See below

Step-by-step explanation:

Standard form is Ax + By = C

x - price of adult tickets, y - price of child tickets, the equation in the standard form is:

y-intercept is obtained when x = 0

It represents the amount of child tickets if no adult tickets sold

x-intercept is obtained when y = 0

It represents the amount of adult tickets if no child tickets sold

Converting the equation into slope-intercept form of y = mx + b

Answer:

Step-by-step explanation: To find the mean of the data, we add up all the values and divide by the number of values:

(14 + 13 + 16 + 15 + 12 + 14 + 13 + 15) / 8 = 14

So the mean of the data is 14.

B) The statement "The mean is greater than the median, so the shape of the distribution is skewed" is generally true. However, there are some cases where the mean and median can be equal and the distribution can still be skewed, so the statement is not always true.

F) 4 cannot be used to describe a measure of spread since it is a single number and does not provide any information about the range or variability of the data.

Bonus: Given the ordered data set [12, 13, 13, 14, 14, 15, 15, 16], we can determine several measures of center and spread. The median is 14 since it is the middle value when the data is ordered. The mean is also 14 since the sum of the values divided by 8 is 112/8 = 14. The range is 16 - 12 = 4, and the interquartile range (IQR) is the difference between the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data, which is (12 + 13 + 13 + 14) / 4 = 13, and the third quartile (Q3) is the median of the upper half of the data, which is (14 + 15 + 15 + 16) / 4 = 15. So the IQR is 15 - 13 = 2.

Answer: 12a + 2b im pretty sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 5/2

Using the two points you do rise over run.

2. zero

Any line that is horizontal is equal to zero (0

3. undefined

Any line that is vertical is undefined

4. The equation always is:

y^2-y^1/x^2-x^1

to find slope.

Label your ordered pairs according to the formula:

x^1 = -12

y^1 = -1

x^2 = -3

y^2 = -4

substitute

y^2-y^1/x^2-x^1

= -12 — -1 / -3 — -4

solve

-12 — -1 = -11

-3 — -4 = 1

-11/1 = -11

5. The equation always is:

y^2-y^1/x^2-x^1

to find slope.

Label your ordered pairs according to the formula:

x^1 = -11

y^1 = -1

x^2 = 7

y^2 = -2

substitute

y^2-y^1/x^2-x^1

= -11 — -1 / 7 — -2

solve

-11 — -1 = -10

7 — - 2 = 9

-10/9

I hope this is right...

I hope this helps!!!

Answer: 6 divided by 3/4 is 8

Step-by-step explanation:

First when you divide 6 and 3/4. We use a dividing a fraction by a whole number. We have to make 3/4 into 4/3 to make it easier because we are trying to have a whole number. Then you multiply 6 and 4 to get 24 then you divide by 3 so you get 24/3. When you divide this, you get 8.

Once up a time there were 6 and there were 3/4. 6 was the big guy. 3/4 was the smallest in the hood. they were enemies. One day they had a fight and 6 was divided by 3/4 and became 0.5 or 1/2. now 3/4 was the big guy.

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Answer:

The equivalent expression will be seven-thirds squared times two-thirds cubed so option (A) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given,

three-sevenths squared times two-thirds raised to the power of negative three all raised to the power of negative one

⇒ [ (3/7)²  ] to the power -1

⇒ [(3²/7²)(3³/2³)] to the power -1

⇒ [ 3⁵/(2³7²) ] to the power of -1

⇒ [ (3³3²)/(2³7²)] to the power of -1

⇒ [ (3/7)²(3/2)³] to the power of -1

⇒ (7/3)²(2/3)³

Hence "The equivalent expression will be seven-thirds squared times two-thirds cubed".

#tonk

#tanks for life

The given expression will be equal to ( 2.3 )¹⁵ / ( 0.9 )¹². The correct option is D.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 2.3 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power.

Write the expression in the mathematical form and solve:-

[ ( 2.9⁵) / ( 0.9 )⁴ ]³ = [ ( 2.9⁵) / ( 0.9 )⁴ ]³

                             =  [ ( 2.9 )¹⁵ / 0.9 )¹² ]

Therefore, the given expression will be equal to ( 2.3 )¹⁵ / ( 0.9 )¹². The correct option is D.

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Answer:

it as actually 5 soo.

Step-by-step explanation:

Answer:

First, we know that:

1 1/3 = 4/3

10 2/3 = 32/3

15 minutes = 0.25 hours

Let's imagine that x (hours) is the time it takes Lee to type 32/3 pages.

From the information, we can tell that:

Lee can type:

4/3 pages in 0.25 hours

32/4 pages in x hours

So x should be:

x = (32/4 . 0.25)/4/3 = 2 (hours)

So it takes Lee 2 hours ro type 10 2/3 pages

Step-by-step explanation:

Answer:

Answer:

Answer attached

Step-by-step explanation:

Answer:11.25

Step-by-step explanation:

The number 5.25 is increased by one which is 6.25 then you add it by one again you get 7.25 but if you add 2 you get 9.25 so you add 2 to 9.25

the probability of rolling a sum of 4 when rolling a 6-sided die twice is,

⇒ 3 / 36.

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Now, To determine the probability of rolling a sum of 4 when rolling a 6-sided die twice, we need to first find all the possible outcomes when rolling a die twice.

Since, There are 6 possible outcomes when rolling a single die:

1, 2, 3, 4, 5, or 6.

Now, When rolling two dice, we can combine each of these outcomes with every other outcome.

Hence, This gives us a total of 6 x 6 = 36 possible outcomes when rolling two dice.

Thus, To find the number of outcomes that add up to 4, we can list them out:

1 + 3

2 + 2

3 + 1

So, there are three possible outcomes that add up to 4.

Hence, To find the probability of rolling a sum of 4, we need to divide the number of outcomes that add up to 4 by the total number of possible outcomes:

⇒ P(sum of 4) = 3/36

Therefore, the probability of rolling a sum of 4 when rolling a 6-sided die twice is 3 / 36.

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Assuming that Noah uses a certain amount of sparkling water to make a liter of sparkling orange juice, let's call this amount "x" liters of sparkling water per liter of orange juice. Then, the total volume of sparkling orange juice that Noah can make from j liters of orange juice is given by:

t = x*j

Therefore, the equation that Noah can use to find t if he knows j is:

t = x*j

Answer:

37.5

Step-by-step explanation:

cosФ = \(\frac{A}{H}\)

cos(33°35') = \(\frac{m}{45}\)

m = 45 × cos(33°35')

m = 37.5 (1d.p.)

Answer:

About 30.98386677 ft above the water.

Step-by-step explanation:

Use pythagorean theorem, a^2+b^2=c^2.

So when you plug in the numbers it would be x^2+22^2=38^2. Move 22^2 to the right side giving you x^2=38^2-22^2. Then subtract and take the square root of x^2.

Answer:

m= (b/4) -1

Step-by-step explanation:

b = 4(m + 1)

b/4 = m+1

(b/4) -1 = m

Answer:

m= (b/4) - 1

Step-by-step explanation:

You have to do the inverse of operations so times would be divide and add would be subtract.

Answer:

-8m+10n

Step-by-step explanation:

5m+3(2n-7m)+4(n+2m)

Simplify the parenthesis.

5m+6n-21m+4n+8m

Reorder so each like term are by each other.

5m+8m-21m+6n+4n

Combine those like terms.

13m-21m+10n

-8m+10n

-hope it helps

Answer:

-8m+10n

Step-by-step explanation:

first do the parenesis 3 x 2n = 6n 3 x 7m= 21m

then do 4 x n =4n 4x 2m=8m

5m+6n-21m+4n+8m

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

Answer:

The correct equation is −8(r + 14.5) = 64.5

Step-by-step explanation:

This equation states that negative 8 times the sum of a number (r) and 14.5 is equal to 64.5.

The other equations are not correct because they do not correctly represent the given statement. In equation 1, the minus sign is in the wrong place, and in equation 3, the minus sign is missing before the 14.5. In equation 4, the minus sign is missing before the 8.

I hope this helps. Let me know if you have any further questions.

Step-by-step explanation:

\(x=3\\y=\frac{1}{3}\\z=5\\ \\\frac{12x-3y}{4x-z} \\=\frac{12*3-3*\frac{1}{3} }{4*3-5}\\=\frac{36-\frac{3}{1}*\frac{1}{3} }{12-5} \\=\frac{36-\frac{3}{3}}{7}\\=\frac{36-1}{7}\\=\frac{35}{7}\\=5\)

Answer:

the answer is 5

Step-by-step explanation: