Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the roof of the cabin. Naturally, he wants to place the roof beams in such an angle that each pair of opposite beams would meet exactly in the middle. What is the angle of elevation, in degrees, of the roof beams
Answer:
Step-by-step explanation:
Alright, lets get started.
Please refer the diagram I have attached.
The width of the room is 30 meters.
If two beams will be making an angle, they will half the width.
There will be a right triangle made, so using SOH CAH TOA,
[tex]cos x=\frac{adjacent}{hypotenuse}[/tex]
[tex]cos x=\frac{15}{17}[/tex]
taking cos inverse
x = [tex]cos^{-1} (\frac{15}{17} )[/tex]
x = 28.07° : Answer
Hope it will help :)
Answer:
28.07
Step-by-step explanation:
Credit to first said it
What’s one way we can check our answer to 2x10=20
The histogram represents the distributions of rain amounts in two cities. Which best explains how the histogram is useful for comparing the shapes of the data sets? It is easier to visually compare the means of the data. It is easier to visually compare the standard deviations of the data. It is easier to visually compare the medians of the data. It is easier to visually compare symmetry and skew of the data.
Answer:
It is easier to visually compare symmetry and skew of the data.
Step-by-step explanation:
Given that the histogram represents the distributions of rain amounts in two cities.
Histogram enables us to have a visual idea easily understandable about the pattern of the distribution.
The important points are whether the distribution is symmetrical or right/left skewed.
Mean, median, std deviations cannot be found easily by justing seeing the histograms.
Hence correct answer is
It is easier to visually compare symmetry and skew of the data.
Verify the identity.
tan x plus pi divided by two = -cot x
Zaira spent 55 hours in 2 weeks working on a science project. she worked 32 hours the first week. Write and solve an addition equation to find the amount of time she spent working the second week.
Roger counted the kids in the cafeteria on Monday. There were 9 tables of 10 kids at the start of lunch. In the middle of lunch, 4 kids came in and sat down. How many kids were in the cafeteria then?
Round 6541 to the nearest thousand
To round 6541 to the nearest thousand, identify the place value and look at the hundreds place. The answer is 6000.
Rounding 6541 to the nearest thousand:
Identify the place value you are rounding to, which is the nearest thousand.
Look at the hundreds place since we are rounding to the nearest thousand. In 6541, the hundreds digits is 5, so the thousands digit remains 6, and all digits after that become 0. Therefore, 6541 rounded to the nearest thousand is 6000.
Continue the following pattern; describe the eighth figure in this pattern
Answer:
The Eighth Figure would be an 8 by 8 square with 64 small squares
Step-by-step explanation:
The Figures shown in the picture are following a fairly simple pattern. Each variation is adding 1 row and 1 column of squares. Variation 4 has a 4 by 4 square with 16 small square (4*4 = 16). If we continue with pattern then variation 8 will be an 8 by 8 square with 64 smaller squares inside it (8*8 = 64)
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The area of a triangle is 36 square meters. The base is 1 meter less than the height. What is the height of the triangle?
Solve the following automotive-services problem.
Resistance = 0.1 ohm
Current = 60 amps
Voltage = ______ ?
A. 0.6
B. 6 60
C. 600
someone pleaseeeeeeeeee help me!
1. Displacement vectors of 5 km north, 3 km east, 2 km south, and 3 km west combine to a total displacement of
3 km north.
13 km west.
0 km.
2 km south.
Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
Answer:
-12 and 2
Step-by-step explanation:
[tex]x^2+10x=24\\[/tex]
[tex]x^2+2*5*x=24[/tex]
[tex]x^2+2*5*x+5^2-5^2=24[/tex]
[tex](x^2+2*5*x+5^2)-5^2=24[/tex]
Using the identity
[tex]a^2+2*a*b+b^2 = (a+b)^2[/tex]
we get
[tex](x+5)^2-5^2=24[/tex]
[tex](x+5)^2-25=24\\[/tex]
[tex](x+5)^2=24+25\\(x+5)^2=49\\(x+5)=+7 \\or (x+5)=-7\\[/tex]
Solving both of them we get
x=-12 or x=2
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Quadrilateral JPRA is similar to quadrilateral KDEW . PR=27 mm , DE=15 mm , and WE=25 mm .
What is AR ?
Final answer:
To find AR in quadrilateral JPRA similar to quadrilateral KDEW, use the concept of similar triangles to determine AR = 45 mm.
Explanation:
To find AR in quadrilateral JPRA that is similar to quadrilateral KDEW, we can use the concept of similar triangles.
Calculate the scale factor between the two quadrilaterals: PR/DE = AR/WE
Substitute the known values: 27/15 = AR/25 and solve for AR which gives AR = 45 mm.
Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms in the simplified expression negative
A) There are 3 terms in the simplified expression. B) There are 2 terms in the simplified expression that are negative.
First, let's combine the terms that are alike. We can combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms:
(-3 [tex]x^2[/tex] + 5 [tex]x^2[/tex] ) + (2 [tex]y^2[/tex]- 3 [tex]y^2[/tex]) + 5xy - 2y
This gives us:
2 [tex]x^2[/tex] - [tex]y^2[/tex]+ 5xy - 2y
We can then combine the xy and y terms:
2 [tex]x^2[/tex] - ( [tex]y^2[/tex]+ 2y)
This gives us:
2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y
So, the simplified expression is 2 [tex]x^2[/tex] - [tex]y^2[/tex]- 2y.
There are 3 terms in the simplified expression.
There are 2 terms in the simplified expression that are negative.
Here is a breakdown of the steps involved in simplifying the expression:
Combine the [tex]x^2[/tex] terms and the [tex]y^2[/tex] terms.
Combine the xy and y terms.
Check to make sure that there are no common factors that can be canceled.
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Can someone help me with this problem?
A company is selecting students for interviews at the career fair. The number of students selected from university A is given by f(x) = 4x + 5, where x represents the number of days of the fair. The number of students selected from university B is given by g(x) = 2x + 8. Which function best describes the total number of students selected at the career fair?
a. h(x) = (4x + 5)(2x + 8)
b. h(x) = 2x - 3
c. h(x) = -2x + 3
d. h(x) = 6x + 13
Answer:
B, for plato students that is
Step-by-step explanation:
Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.
What is the volume of Prism B?
260 cm³
520 cm³
1040 cm³
16,640 cm³
The volume of prism B is [tex]\rm 260 \; cm^3[/tex] and this can be determined by taking the ratio of the volume of both the prism.
Given :
Prism A is similar to Prism B. The volume of Prism A is 2080 cm³.To determine the volume of prism B, first determine the ratio of the volume of prism A to the volume of prism B that is:
[tex]\rm \dfrac{V_A}{V_B}=\dfrac{8^3}{4^3}[/tex]
[tex]\rm \dfrac{V_A}{V_B}=8[/tex]
Now, put the value of the volume of prism A in the above expression.
[tex]\rm \dfrac{2080}{V_B} = 8[/tex]
Divide 2080 by 8 in the above equation.
[tex]\rm V_B = \dfrac{2080}{8}[/tex]
[tex]\rm V_B = 260\;cm^3[/tex]
So, the volume of prism B is [tex]\rm 260 \; cm^3[/tex].
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3500 calories for 6 servings of pie how many calories per serving
I need help!!!! Please if you get it right i will mark you brainliest!
laissez faire is the term used to describe a capitalist economy without any regulations
Information about Laissez-faire's economy is given.
What is a Laissez-faire economy?Laissez-faire is a free-market, capitalist economic theory that rejects government interference. The French Physiocrats, who lived in the 18th century, created the laissez-faire ideology. According to proponents of laissez-faire, government involvement in industry and markets hinders economic progress.
Laissez-Faire capitalism allowed businesses to pursue just their financial goals without having to worry about restrictions from the state or taxes. Naturally, this might induce unfavorable externalities and knowledge asymmetries that could enable producers to act badly and get away with it. Laissez-Faire proponents contend that since the market would eliminate such undesirable actors, extensive and expensive regulation is not necessary. However, in practice, negative actors might carry on their operations for a very long time. Without government testing and regulatory oversight to safeguard consumers, for instance, it could not be known if a vitamin manufacturer is putting sawdust in place of herb powder in their capsules.
Therefore, In real world the laissez-faire is a capitalist economy have regulations.
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Using the information given, select the statement that can deduce the line segments to be parallel. If there are none, then select none. please help asap
Answer:
option C
Step-by-step explanation:
In the figure attached, the given quadrilateral will be parallelogram if the given angles ∠7 = ∠3 and ∠8 = ∠4 ( alternate angles ) or ∠1 = ∠5 and ∠2 = ∠6 ( alternate angle )
But the given angles are ∠7 and ∠8 which represent a big angle A when combined.
Therefore, option C none will be the answer.
Which expression makes the equation true for all values of X? 16 X -16 =4(?)
A local magazine is offering a $2,500 grand prize to one lucky winner. $1,000 will be paid on the day of the drawing. the remaining $1,500 will be paid in three annual payments of $500 each, starting one year after the drawing. how much would this prize be worth to you if you can earn 9 percent on your money?
What is the slope of any line parallel to y = 4x + 17
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. How much money did Mrs. Wise spend on apples on Tuesday?
I Put 45 Points!!
Use what you have learned from this chapter to make a model boat out of a 10-cm square piece of foil. Test your model boat in a tank of water to see how many pennies it can support before sinking. Compare the performance of your boat with those of your classmates. Suggest several design improvements based on your results. Respond to at least one other students posting giving suggestions on how the model of their boat or yours could be improved to increase buoyancy.
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct?
Kevin is incorrect because 3:5 may be a simplified ratio.
Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.
Given that,
The ratio of girls to boys in a classroom is 3:5. Kevin says there must be 8 students in the classroom. Which explains whether Kevin is correct is to be determined,
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here, the ratio of girls to boys is 3:5, Which implies there are 3 girls over 5 boys in the number, This is the simplified ratio of the girls to boys of the students in the class. So, Kevin says there must be 8 students in the classroom which is right, but Kevin does not explain the proportion in his statement,
Thus, Kevin is incorrect because 3:5 may be a simplified ratio. Option C is correct.
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Arthur buys a zero coupon bond with a face value of $5000 for $4000. The bond has five years until it matures. How much would Arthur earn if he holds this bond to maturity?
Which quadratic regression equation best fits the data set?
Answer:
D. [tex]y=1.87x^2-5.16x+10.54[/tex]
Step-by-step explanation:
The data set is given by,
x y
1 5.9
2 8.9
3 13.4
4 20.1
5 30.1
6 45.1
7 67.7
Using the regression calculator, we see that,
The quadratic equation that best fits the data is [tex]y=1.87x^2-5.16x+10.54[/tex] as shown below.Thus, option D is correct.
How do you Simplify a4 x a5
The simplification of the given expression by the law of indices will be a⁹.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
In other words, the mathematics of power or exponent of any number is called indices.
Another example could be 7² = 7³/7 here we divide to obtain power 2.
As per the given expression,
a⁴ × a⁵
By the law of indices that [tex]a^{m} \times a^{n} = a^{m+n}[/tex].
a⁴ × a⁵ = a⁽⁴ ⁺ ⁵⁾ = a⁹
Hence "The simplification of the given expression by the law of indices will be a⁹".
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