An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?

Answer:

15,000 feet cubed

Step-by-step explanation:

15 x 15 = 225

10 x 15 = 150

150 / 2 = 75

225 = 75 = 300

300 x 50 = 15,000 feet cubed

Answer:

15000 ft^3

Step-by-step explanation:

You said you just wanted the answer so I won't explain in depth but let me know if you want an in depth explanation.

15*15=225

225*50= 11250

10*15=150

150/2=75

75*50=3750

11250+3750= 15000

Answer: 15000ft^3

The solution to the equation x³ + x - 4 = 0 is x = 1.38

From the question, we have the following parameters that can be used in our computation:

x^3 + x - 4 = 0

Express the exponents as proper superscript

So, we have the following representation

x³ + x - 4 = 0

Next, we solve the equation using a graph

i.e. we plot the graph of x³ + x - 4 = 0

See attachment for the graph of x³ + x - 4 = 0

The points where the graph of x³ + x - 4 = 0 crosses the x-axis are the solution

In this case, the point is 1.38

Hence, the solution is x = 1.38

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The value of y is 16 when x = 32 for equation y = (1/4)x divided by 2.

Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It displays how the expressions on the left and right sides are equally related. We have LHS = RHS in any mathematical equation. Equations can be solved to get the value of an unknown variable that represents an unknown quantity. If there is no "equal to" symbol, a statement is not an equation.

The given equation is

y = 1/4 x divided by 2

So,

y = ((1/4)x)/ 2

y = (2/4) × x

Put x = 32

y = 2/4 ×32

y = 2 × 8

y = 16

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Answer:

7 times with 1 left over

Step-by-step explanation:

29/4=7

(28)

Remainder 1

Answer:

a = 12

Step-by-step explanation:

Formula:

a² + b² = c²

Given:

b = 9

c = 15

Finding a:

a² + b² = c²

a² = c² - b²

a² = 15² - 9²

a² = 225 - 81

a² = 144

[tex]\sqrt{a^2} =\sqrt{144}[/tex]

a = 12

Answer:

12

Step-by-step explanation:

To solve this, use the pythagreons theorm:

a^2+b^2=c^2

A and B are the side lengths, while is the hypotenuse, which in this case is 15 meters.

So lets plug in our values and solve for the missing length:

9^2+b^2=15^2

Square all the values except for the unknown:

81+b^2=225

Subtract from both sides to get b alone:

b^2=144

Take the square root of both sides so b^2 becomes b:

b=12

So your answer is 12!

Hope this helps!

Answer:

<5=39

Step-by-step explanation:

<2=48

<3=93

<2 and <4 are equal to each other because they are alternate interior angles

93+48=141

180-141=39

Answer:

∠5 = 39º

Step-by-step explanation:

∠1 + ∠2 + ∠3 = 180

∠1 + 48 + 93 = 180

∠1 = 180 - 48 - 93

∠1 = 39

Corresponding angles are congruent

∠5 = ∠1

∠5 = 39º

Answer:

Step-by-step explanation:

The science of statistics focuses on creating and researching strategies for gathering, analysing, interpreting, and presenting empirical data.

Research in statistics finds application in almost all scientific domains, and research concerns in the various scientific fields inspire the creation of new statistical methods and theories. Statistics is a very interdisciplinary field. Statisticians use a range of mathematical and computational techniques while creating new approaches and researching the theory that supports such methods. Uncertainty and variation are two key concepts in the study of statistics. In science, as well as more generally in life, there are numerous circumstances where the result is unknown. Sometimes the uncertainty is caused by the fact that the result is still up in the air. Probability is a mathematical language that is used to talk about uncertain events, and it is crucial to statistics. There are numerous causes of variance that can affect any measurement or data collection attempt. By this, we indicate that the result would probably alter if the same measurement was repeated. The goal of statisticians is to comprehend and, whenever feasible, manage the sources of variation.

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2.0.8625

3.9.3625

4.168.75

5.smaller than

6.greater than

7.greater than

8.smaller than

9.greater than

10.smaller than

Answer:

B  

y = 0.508 sine (0.212 x minus 1.529) + 0.512

Step-by-step explanation:

just took the test

The amount that her clothes weigh more than her books would be = 57kg

The amount for the shipping cost for her school would be = 5600+25400 = $31000

Postal service is the type of service that helps.in the delivery of goods from one location to another when the goods are properly registered.

The mass of Moya's books = 70 kilograms

The mass of Moya's clothing = 127 kg

The difference between the bothe masses = 127 - 70 = 57kg

The cost per kg for books = $80 per kg

The cost per kg of clothing = $200

Therefore, the amount for the shipping cost for her school would be = (70×80) + (127 ×200)

= 5600+25400 = $31,000.

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Answer:

135

Step-by-step explanation:

:)

Answer:

When you convert them both you get 135

Answer: 34 21/64

Step-by-step explanation: Multiply all the sides to get the Volume.

3 1/4 x 3 1/4 x 3 1/4 = 34 21/64

Answer: [tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex], [tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]

Step-by-step explanation:

Given

[tex]\sin x-\sqrt{1-3\sin^2x}=0[/tex]

Take the square root term to the right-hand side

[tex]\Rightarrow \sin x=\sqrt{1-3\sin^2x}\\\text{Squaring both sides}\\\Rightarrow \sin^2x=1-3\sin^2x\\\Rightarrow 4\sin^2x=1\\\\\Rightarrow \sin^2x=\dfrac{1}{4}\\\\\Rightarrow \sin x=\pm\frac{1}{2}[/tex]

for

[tex]\sin x=\dfrac{1}{2}[/tex]

[tex]x=n\pi +(-1)^n\dfrac{\pi}{6}[/tex]

for

[tex]\sin x=\dfrac{-1}{2}[/tex]

[tex]x=n\pi +(-1)^n\left(\dfrac{-\pi}{6}\right)[/tex]

Answer:

Step-by-step explanation:

Certainly! To set up the problem, we can consider the owner-manager's utility as a function of two variables: income (profit) and charitable contributions or civic expenditures. Let's call these variables x and y, respectively.

The owner-manager utility is given by the function U(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

The cost of obtaining this utility is given by the function C(x,y), where x is the income (profit) and y is the charitable contributions or civic expenditures.

To find the lowest possible cost at which the owner-manager can obtain a specific level of utility, we can use the following optimization conditions:

The cost function C(x,y) should be minimized subject to the constraint U(x,y) = k, where k is the specific level of utility that the owner-manager wishes to achieve.

The first-order necessary conditions for a minimum are:

∂C/∂x = λ ∂U/∂x

∂C/∂y = λ ∂U/∂y

where λ is a Lagrange multiplier.

These conditions are known as the Karush-Kuhn-Tucker (KKT) conditions.

These optimization conditions differ from the utility-maximizing conditions in that we are minimizing the cost function instead of maximizing the utility function. In addition, we have the constraint U(x,y) = k, which means that we are trying to achieve a specific level of utility rather than trying to maximize it.

There are 30 girls and 10 boys

i hope this helped you xx

9514 1404 393

Answer:

  30

Step-by-step explanation:

The triangle inside the circle is an equilateral triangle, so the central angle is 60°. That angle is one of the acute angles in the right triangle formed by the tangent line. The other acute angle (x°) in that right triangle is the complement of 60°.

  x° = 90° -60° = 30°

  x = 30

Answer:

H 28.26 mm

Step-by-step explanation:

Answer:

one million

Step-by-step explanation:

a six digit passcode has one million possible combinations instead of 10,000.

Answer:

anything lower than 7 can be substituted for x to make this work

Step-by-step explanation: i tried

Answer:

b

Step-by-step explanation:

i think i say c because a is 30 degrees and c is 90 the whole triange needs to be 180 so b would be 60 also you see one side is 10 the other side also known as b is also 10 they have to be the same length and a is five because half of 10 is 5

Reflection along y axis

Translation: [tex](x,y) \to (x,y-3)[/tex]  which means we shift 3 units down

===========================================================

Explanation:

Let's track point A to see how it could move to point A'.

If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.

The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation [tex](x,y) \to (x,y-3)[/tex]

Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively.  Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.

Answer:

1 38888888889/50000000000

Step-by-step explanation:

The answer to the first part equation is 1080 ( 3*15*24). The answer to the second question ( 16*20*6) is 1920. Then you divide 1920/ 1080= 1 38888888889/50000000000

Answer:

If the ml means miles than its 400

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

Answer:

M<3 is 49 degrees, M<4 is 131 degrees  

Step-by-step explanation:  

This is a case of supplementary angles. M<1 and M<2 are supplementary, which means that their angle degrees added together will be equal to 180. The same is for M<2 and M<3, and M<3 and M<4, and M<1 and M<4. Basically, two angles are supplementary when they form a straight line, or 180 degrees  

First, we know that M<1 and M<2 added together is 180. We know M<1 is 11x-38 and M<2 is 19x+8, so then, we have:

(11x-38) + (19x+8) = 180

30x - 30 = 180

30x = 210

x = 7

Now, we plug in 7 for x to find M<1 and M<2.

M<1 is (11x-28), so it would be 49 degrees.

M<2 is (19x+8), so it would be 131 degrees (or just do 180-49).

Now, we can find M<3 and M<4 easily. M<3 and M<2 are supplementary, so 131 + M<3 must equal 180. Thus, M<3 is 49.

M<4 and M<1 are supplementary, so 49 + M<4 must equal 180. Thus, M<3 is 131.

AN EASIER WAY TO FIND M<3 AND M<4:

Vertical angles are angles directly opposite each other, created by two intersecting lines. A pair of vertical angles holds the same degree measurements. In this problem, M<2 and M<4 are a pair of vertical angles, and M<3 and M<1 are a pair. Thus, M<2 and M<4 must are the same degree and M<3 and M<1 must are the same degree. Thus, if M<2 is 131, M<4 is 131 degrees as well. If M<1 is 49 degrees, M<3 is 49 degrees as well.  

Answer: The probability of randomly selecting a student in sports is 65% or 65/100

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

Rectangle 1 :

b*h = 21

Triangle :

a= 1/2 b*h

3*7= 21 /2=10.5

Add both 10.5 + 21 =

31.5

The board can be rotated in 4 different ways (0, 90, 180, 270 degrees) and each of the four squares can be painted in 2 different ways (black or white). Since we can rotate the board, the order in which the squares are painted does not matter, so we must divide by the number of ways to rearrange the squares. So, there are (2^4) / 4 = 6 ways the board can be painted when we take rotations into account.

To calculate turnover, it is necessary to consider the departures and additions of people to the company in the period. Calculating turnover is quite simple: you need to add the number of admissions and the number of dismissals, then just divide by 2 and then divide by the total number of employees within your company.

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