In a unit circle, what is the length of an arc that subtends an angle of
π/4 radians?

Answer:

Median = 18

Step-by-step explanation:

The median is the middle number if the elements (prices)  are arranged from least to greatest.

let's arrange the prices of watches from least to greatest:

12, 15, 16, 16, 20, 22, 24 27

Since there are even number of numbers (8), the median is the value between 4th and 5th numbers.

4th number is 16

5th number is 20

We need the value between 16 and 20. We get that by adding these 2 and dividing by 2:

16 + 20 = 36

36/2 = 18

THus, median = 18

[tex]\bf \qquad \qquad \textit{joint compound proportional variation} \\\\ \begin{array}{llll} \textit{\underline{y} varies directly with \underline{x}}\\ \textit{and inversely with \underline{z}} \end{array}\implies y=\cfrac{kx}{z}\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{W varies jointly as its width, squared heght and inversely with length}}{W=\cfrac{wh^2}{L}}[/tex]

[tex]\bf \textit{now we also know that }~~ \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{3}\\ L=12\\ W=30 \end{cases}\implies 30=\cfrac{~~k\frac{1}{4}\left( \frac{1}{3} \right)^2~~}{12} \\\\\\ 360=\cfrac{k}{36}\implies 12960=k~\hfill \boxed{W=\cfrac{12960wh^2}{L}}[/tex]

[tex]\bf \textit{when } \begin{cases} w=\frac{1}{4}\\ h=\frac{1}{2}\\ L=12 \end{cases}\textit{ what is \underline{W}?}\qquad W=\cfrac{12960\left( \frac{1}{4} \right)\left(\frac{1}{2} \right)^2}{12} \\\\\\ W=1080\left( \cfrac{1}{4} \right)\left( \cfrac{1}{4} \right)\implies W=1080\cdot \cfrac{1}{16}\implies W=\cfrac{135}{2}\implies W=67\frac{1}{2}[/tex]

Using the joint variation, A similar beam can support [tex]67 \frac{1}{2}[/tex] feet if the beam is one-fourth foot wide and half a foot high, and 12 feet long.

What is Proportion

A proportion is an equation stating that two rational expressions are equal. Simple proportions can be solved by applying the cross products rule.

If [tex]\frac{a}{b} = \frac{c}{d}[/tex] then ab = bc.

What is Direct variation?

The phrase “ y varies directly as x” or “ y is directly proportional to x” means that as x gets bigger, so does y, and as x gets smaller, so does y. That concept can be translated in two ways.

[tex]\frac{y}{x} = k[/tex] for some constant k.

The k is called the constant of proportionality. This translation is used when the constant is the desired result.

What is Inverse Proportion?

According to the expressions "y varies inversely as x" and "y is inversely proportionate to x," y decreases as x increases or vice versa. There are two translations for this idea. For any constant k, referred to as the constant of proportionality, yx = k. If the constant is wanted, use this translation.

What is Joint Variation?

Joint variation is the term used to describe when one variable changes as the sum of other variables. There are two translations for the phrase "y fluctuates concurrently as x and z."

So, In the given question:

Weight that a rectangular beam can support varies jointly as its width and the square of its height and inversely as its length;

It is in joint proportion;

[tex]\begin{aligned}&\mathbf{W}=\frac{\mathbf{w h}^2}{\mathbf{L}} \\&\left\{\begin{array}{l}w=\frac{1}{4} \\h=\frac{1}{3} \\L=12 \\W=30\end{array} \quad \Longrightarrow 30=\frac{\mathbf{k} \frac{1}{4}\left(\frac{1}{3}\right)^2}{12}\right.\end{aligned}[/tex]

[tex]360=\frac{\mathrm{k}}{36} \Longrightarrow 12960=\mathrm{k}[/tex]

Now,

[tex]\text { when }\left\{\begin{array}{l}w=\frac{1}{4} \\h=\frac{1}{2} \\L=12\end{array}\right.[/tex]

[tex]W=\frac{12960\left(\frac{1}{4}\right)\left(\frac{1}{2}\right)^2}{12}[/tex]

[tex]W=1080\left(\frac{1}{4}\right)\left(\frac{1}{4}\right) \\\Longrightarrow W=1080 \cdot \frac{1}{16}[/tex]

[tex]\\\Longrightarrow\mathrm{W}=\frac{135}{2} \\\Longrightarrow \mathrm{W}=67 \frac{1}{2}[/tex]

Hence, A similar beam can support [tex]67 \frac{1}{2}[/tex] feet if the beam is one-fourth foot wide and a half a foot high, and 12 feet long.

To learn more about joint variation visit the below link:

https://brainly.ph/question/9288542

#SPJ2

Answer:

522 [tex]m^2[/tex]

Step-by-step explanation:

To find the surface area, we can find the area of each shape in the net.

There are 2 identical triangles and 3 different rectangles. Then we can add all of these areas together

[tex]2(\frac{1}{2} (9)(14))=126\\\\(10)(14)=140\\\\(10)(16.6)=166\\\\(9)(10)=90\\\\126+140+166+90=522[/tex]

Answer:

x= 4-7i  x= 4+ 7i

Step-by-step explanation:

step 1 : make equation = 0

[tex]x^{2}[/tex] - 8x + 65 = 0

step 2 : solve for x [ using the quadratic equation]

ie :     x = -b ± [tex]\sqrt{b^{2}-4ac}[/tex] / 2a

so it will look like this

x= -(-8) ± [tex]\sqrt{(-8)^{2} - 4(1)(65)}[/tex] /2(1)

when you simplify you wont be able to root the -196 so you will have to separate the roots

x = 8 ±( [tex]\sqrt{-1}[/tex] )( [tex]\sqrt{196}[/tex]) / 2

now there is a rule for negative roots whereby  [tex]\sqrt{-1}[/tex] is equivalent to i so now you will change [tex]\sqrt{-1}[/tex] into i

Simplify [tex]\sqrt{196}[/tex]

which will give you 14

now place all the new values into the formula

8 ± 14i /2

you can then further simplify to  

4 ± 7i

step 3 : separate

this will give you the final answer of

x= 4 + 7i   x= 4- 7i

Answer:

x = 4+7i and x=4-7i

Step-by-step explanation:

I just did the test

Answer:

f(x) = (x + 4)² - 13

Step-by-step explanation:

You will have to "complete the square [½B]²" to figure this out. Here is how you would set it up:

(x + 4)² → x² + 8x + 16

x² + 8x + 16 - 13 → x² + 8x + 3 [TA DA!]

We know that our vertex formula is correct. Additionally, that -h gives you the OPPOSITE terms of what they really are, and k gives you the EXACT terms of what they really are. Therefore, your vertex is [-4, -13].

I am joyous to assist you anytime.

Answer: 12.5 tomatoes

Step-by-step explanation:

You know that the recipe for 4 servings requires 5 tomatoes and you want to make chili for 10 servings. Therefore, to calculate the amount of tomatoes required for this, you should use the following conversion factor:

[tex]\frac{5\ tomatoes}{4\ servings}[/tex]

Now multiply the conversion factor by the 10 servings:

[tex]=(10\ servings)(\frac{5\ tomatoes}{4\ servings})\\=12.5\ tomatoes[/tex]

Therefore, you will use 12.5 tomatoes to make 10 servings.

Answer:

Tomatoes for 10-servings = 12.5

Step-by-step explanation:

Given

Number of tomatoes for 4 servings = 5

So we can calculate the number of tomatoes for one serving by dividing the serving by number of tomatoes.

So,

Number of tomato for one serving = 5/4

= 1.25

Now we can calculate the number of tomatoes for 10 servings

Number of tomatoes for 10 servings = Number of tomatoes for one serving * 10

= 1.25 * 10

= 12.5 tomatoes

Answer:

Area of the parking lot = 6525 ft²

Explanation:

Since the two isosceles right-angled triangles have equal bases and heights, therefore, their areas are equal

Therefore:

Area of the parking lot = area of rectangle + 2*area of isosceles triangles

1- getting the area of the rectangle:

Area of rectangle = length * width

We are given that the dimensions of the rectangle are 45 ft and 100 ft

Therefore:

Area of rectangle = 45 * 100 = 4,500 ft²

2- getting the area of the isosceles triangle:

Area of triangle = 0.5 * base * height

From the drawing, we can note that:

base of triangle = height of triangle = smaller side of the rectangle = 45 ft

Therefore:

Area of triangle = 0.5 * 45 * 45 = 1,012.5 ft²

3- getting the total area:

Total area of parking lot = area of rectangle + 2*area of isosceles triangles

Total area of parking lot = 4500 + 2(1012.5)

Total area of parking lot = 6,525 ft²

Hope this helps :)

Answer:

x is 12

Step-by-step explanation:

Write a proportion

4:5

x:15

or you can write it as 4/5=x/15

Cross multiply and you get 12  

The value of x if the scale factor of figure A to figure B is 4:5 is; x = 12

We are given the scale factor of figure A to figure B as 4:5.

Now, looking at both triangles, we can say that;

x:15 = 4:5

Thus,we can write in fraction as;

x/15 = 4/5

x = 15 × 4/5

x = 12

In conclusion, the value of x from the given proportion between both triangles is 12.

Read more at; https://brainly.com/question/20559293

Answer:

c. 216 inches

Step-by-step explanation:

6*6=36

Root 6 times root 6=6

36 times 6 is 216

Answer:

Area of square= 216 square inches

Perimeter  of square [tex]= 24\sqrt{6}[/tex] inches.

Step-by-step explanation:

Given that length of the side of the square = [tex]6\sqrt{6}[/tex] inches.

Now we need to find area of the rectangle. So apply the formula  area of rectangle

[tex]Area of square= (side)^2[/tex]

[tex]Area of square= (6\sqrt{6})^2[/tex]

[tex]Area of square= 6^2(\sqrt{6})^2[/tex]

[tex]Area of square= 36(6)[/tex]

Area of square= 216 square inches

Similarly

[tex]Perimeter of square= 4(side)[/tex]

[tex]Perimeter  of square= 4(6\sqrt{6})[/tex]

Perimeter  of square [tex]= 24\sqrt{6}[/tex] inches.

Answer:the anwser is B I am not 100% positive because a seems like it make sense to

Step-by-step explanation:

Hey there!

First, the minus sign is equal to -1 (in this case)

Now, let's distribute -1 by multiplying it times 5 and -3v:

-5+3v

or

3v-5

Both expressions are equivalent (equal to each other)

Hence, the answer is

[tex]\boxed{\boxed{\bold{3v-5}}}[/tex]

Hope everything is clear.

Let me know if you have any other questions.

#LearningDoesn'tEnd

To simplify the expression -(5-3v) using the distributive property, distribute the negative sign to each term inside the parentheses and combine like terms.

To simplify the expression -(5-3v) using the distributive property, we need to distribute the negative sign to each term inside the parentheses. This means we will multiply -1 by both 5 and -3v.

The distributive property states that for any numbers a, b, and c, a(b + c) is equal to ab + ac. Applying this property to our expression, we get -(5) - (-3v), which simplifies to -5 + 3v.

Therefore, the simplified expression is -5 + 3v.

https://brainly.com/question/37341329

#SPJ2

38 green is d mode of the data

If you are referring to the question in the attachment, the answer is the one I have selected!

Or "f(x) has the greater maximum."

Hope this helps

The perimeter of a square, if half of a diagonal is equal to 8 inches would be [tex]32\sqrt{2}[/tex] inches.

In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;

P = 4s

Where:

In Mathematics and Geometry, the side length of a square can be calculated by using this mathematical equation (formula);

Diagonal, d = √2s

d/2 = 8

d = 16 inches.

By solving for s, we have the following side length:

s = 16/√2

s = [tex]8\sqrt{2}[/tex] inches.

Now, we can determine the perimeter of the square is given by;

P = 4 × [tex]8\sqrt{2}[/tex] inches.

P = [tex]32\sqrt{2}[/tex] inches.

Answer:

Step-by-step explanation:

the answer is 365,412

Answer:

7

Step-by-step explanation:

The given algebraic expression is;

[tex]-x^2-6y+13x+7[/tex]

This is an algebraic expression in x and y.

Any term that is independent  of these two variables is called the constant term.

The term '7' is independent  of these variables.

Hence the constant term is 7.

Answer:

4     5

8     10

20    25

5,20

Step-by-step explanation:

Answer:

Step-by-step explanation:

First, you need to make these conversions:

(Remember that [tex]1m=100cm[/tex])

4,000 cm to m:

[tex](4,000cm)(\frac{1m}{100cm})=40m[/tex]

700 cm to m:

[tex](700cm)(\frac{1m}{100cm})=7m[/tex]

You can observe in the figure that it is formed by  two rectangles and a semi-circle.

To calculate the perimeter, you need to add the exterior measures of each figure.

Remember that the circumference of a circle is:

[tex]C=2\pi r[/tex]

Where "r" is the radius

Therefore, the perimeter is:

[tex]P=34m+7m+10m+40m+10m+68m+33m+\frac{(2\pi (17m)}{2}\\P=255.40m[/tex]

To find the area of the indoor sports exhibition, you need to add the areas of the rectangles and the area of the semi-circle.

The area of a rectangle can be calculated with:

[tex]A_r=lw[/tex]

Where "l" is the lenght and "w" is the width.

The area of a semi-circle can be calculated with:

[tex]A_{sc}=\frac{\pi r^2}{2}[/tex]

Where "r" is the radius.

Then, the area of the indoor sports exhibition  is:

[tex]A=(40m)(10m)+(68m)(33m)+\frac{\pi (17m)^2}{2}\\A=3,097.96m^2[/tex]

The 7 is in the 10 thousandth place of the number 472,085

That means is has the value of 70,000

Answer:

70,000

Step-by-step explanation:

The 7 is in the 10,000 place so therefore it would be 7 multiplied by 10,000

there are 12 inches in 1 foot, so 6 inches is really just half a foot, thus 3'6" is really just 3.5' or 3½ feet.

now, let's convert those mixed fractions to improper fractions and then subtract, bearing in mind our LCD will be 8.

[tex]\bf \stackrel{mixed}{4\frac{5}{8}}\implies \cfrac{4\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{45}{8}-\cfrac{7}{2}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)45~~-~~(4)7}{8}}\implies \cfrac{45-28}{8}\implies \cfrac{17}{8}\implies 2\frac{1}{8}[/tex]

She has 1 and 1/8 foot of wood left.

3 feet and 6 inches is equal to 3 and 1/2 feet.

3 and 1/2 feet are also equal to 3 and 4/8 feet.

Subtract 3 4/8 from 4 5/8.

4 5/8 - 3 4/8 = 1 1/8.

Hope this helps!

If it does, it would help me a lot if you could make me brainliest.

Answer:

hello :

the axis of symmetry  is the line wher an equation is : x =2

the vertex is : (  2 ; 5 )

Step-by-step explanation:

write this expression in the vertex form :

y=-x²-4x+1​

y = - ((x² +4x +4) -4) +1

y = - (x -2)²+5

the axis of symmetry  is the line wher an equation is : x =2

the vertex is : (  2 ; 5 )

Answer:

C

Step-by-step explanation:

The central angle is 20% of 360°, that is

central angle = [tex]\frac{20}{100}[/tex] × 360° = 0.2 × 360° = 72° → C

Answer:

Find the measure of the central angle that you would draw to represent 20% in a circle graph.

A. 18°

B. 60°

C. 72°

D. 20°

Step-by-step explanation:

The central angle is 20% of 360°

20 % of 360 = 72°

Answer:

The correct answer is option A.  1

Step-by-step explanation:

Points to remember

An element in a matrix is represented by Eₐₓ

It means that the element in ath row and xth column

From the figure we can see that a 4 x 4 matrix.

To find element a₃₃

From the given matrix we get a₃₃

a₃₃ means element in 3rd row and 3rd column

Here a₃₃ = 1

Therefore the correct answer is option A.  1

The answer is:

{-5<x<5}

To solve the problem, we need to remember how Absolute Value Functions behave, when we have this type of function, related to an inequality, the solution will be between two values.

We are given the inequality:

[tex]|x|<5[/tex]

So, we know that "x" will be between -5 and 5:

[tex]-5<x<5[/tex]

Hence, the solution of the given inequality will be:

(-5,5) or {-5<x<5}

Have a nice day!

Answer:

{x|-5 < x < 5}

Step-by-step explanation:

I got the answer right.

It would be 170.1

Steps:

Each triangle side: 10 × 9 = 90 × 0.50 = 45

Since there are three sides: 45 × 3 = 135

Bottom triangle: 9 × 7.8 = 35.1

135 + 35.1= 170.1

Please mark as Brainliest! :)

Answer:

170.11

Step-by-step explanation:

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Question

Find the surface area of the regular pyramid.

yd2

Answer:

The measure of angle BCD is [tex]35\°[/tex]

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

[tex]m<BCD=\frac{1}{2}(120\°-50\°)=35\°[/tex]

Answer:

c

Step-by-step explanation:

30 divided by 4 = 7.5

75 divided by 10 = 7.5

The answer is C. Jason goes 2 miles per every 15 minutes. If Jason goes 10 miles you would multiply 15 by 5 and that is 75.

Answer:

logbase13(169)=2

Step-by-step explanation:

Convert the exponential equation to a logarithmic equation using the logarithm base (13)of the left side (169) equals the exponent (2).

In the logarithimic form we have the equation as [tex]log_{13} 169 = 2[/tex].

We must note that we can write either in the logarithmic form or in the index form.

In this case, we have written in the index form as [tex]169=13^2[/tex]. In the logarithimic form we have the equation as [tex]log_{13}169 = 2[/tex].

Learn more about logarithimic form:https://brainly.com/question/9832815

#SPJ2

Answer:

The awnser is Street A

Step-by-step explanation:

Answer:

The Answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Equation of a circle: (x - h)² + (y - k)² = r

h is the x-coordinate of the center, and k is the y-coordinate.

Here, h is 3 and y is -2.

So, we find the circle which has the center of (3, -2).

That is D, because the center is 3 to the right and 2 down from the origin.