A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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6x+1≤37 inequality solved
Answer:
Step-by-step explanation:
Rachel hiked 2\5 of a trail. Tim hiked 7/10 of the trail.
Use benchmark fractions to estimate how much more of the trail Tim hiked than Rachel.
Answers about the same about 3/4 about 1/4 and about 1/2pls choose one of those
Answer:
First, change 2/5 to tenths. That equals 4/10. Now, we subtract. 7/10 - 4/10 is... that's right! 3/10! That's about 1/4. Good luck!
Answer:
the answer is 1/4
Step-by-step explanation:
sorry if it is wrong
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
Find the missing side of the triangle. 14 mi 11 mi x
Answer:
\(5\sqrt{3}\)
Step-by-step explanation:
\(a^{2} +b^2=c^2\\11^2+x^2=14^2\)
121+x^2=196
x^2=75
x=\(\sqrt{75} \\5\sqrt{3} \\or 8.66\)
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 30 meters of fencing available, determine the dimensions that would create the garden of maximum area. What is the maximum possible area?
The dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is 75 square meters
What is measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, and volume, in order to describe and quantify the properties of objects and phenomena.
Let's assume that the rock wall is the width of the garden and the wire fencing is used for the length and the other two sides. Let's denote the length of the garden as L and the width as W.
Since we have 30 meters of fencing available, the total length of wire fencing used is:
L + 2W = 30 - W
Simplifying this equation, we get:
L = 30 - 3W
The area of the garden is:
A = LW
Substituting the expression for L from the previous equation, we get:
A = W(30 - 3W)
Expanding the expression, we get:
A = 30W - 3W²
To find the maximum area, we need to take the derivative of A with respect to W and set it equal to zero:
dA/dW = 30 - 6W = 0
Solving for W, we get:
W = 5
Substituting this value back into the expression for L, we get:
L = 15
Therefore, the dimensions of the garden that create the maximum area are 5 meters by 15 meters, and the maximum possible area is:
A = 5(15) = 75 square meters
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What are the answers to these questions?
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88
The U.S. Department of Energy's Fuel Economy Guide provides fuel efficiency data for cars and trucks (U.S. Department of Energy website, February 22, 2008). A portion of the data for 311 compact, midsize, and large cars follows. The column labeled Class identifies the size of the car; Compact, Midsize, or Large. The column labeled Displacement shows the engine's displacement in liters. The column labeled Fuel Type shows whether the car uses premium (P) or regular (R) fuel, and the column labeled HwyMPG shows the fuel efficiency rating for highway driving in terms of miles per gallon.
a) Develop an estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement.
Let x represent the engine's displacement.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x
b) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain?: ____%
c) Consider the addition of the dummy variables ClassMidsize and ClassLarge to the simple linear regression model in part (a). The value of ClassMidsize is 1 if the car is a midsize car and 0 otherwise; the value of ClassLarge is 1 if the car is a large car and 0 otherwise. Thus, for a compact car, the value of ClassMidsize and the value of ClassLarge are both 0. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement and the dummy variables ClassMidsize and ClassLarge. Let x1 represent engine's displacement. Let x2 represent variable ClassMidsize. Let x3 represent variable ClassLarge.If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3
d) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
e) Consider the addition of the dummy variable FuelPremium, where the value of FuelPremium is 1 if the car uses premium fuel and 0 if the car uses regular fuel. Develop the estimated regression equation that can be used to predict the fuel efficiency for highway driving, given the engine's displacement, the dummy variables ClassMidsize and ClassLarge, and the dummy variable FuelPremium. Let x1 represents engine's displacement. Let x2 represents variable ClassMidsize. Let x3 represents variable ClassLarge. Let x4 represents variable FuelPremium. If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
Y = ___ + ___ x1 + ___ x2 + ___ x3 + ___x4
f) How much of the variation in the sample values of HwyMPG does this estimated regression equation explain? : ___ %
a) Y=38.6594-5.4198x; b) 39.1% explained variation; c) Y=44.9379-5.9522x1-1.2758x2-2.0102x3; d) 49.9% explained variation; e) Y=45.2478-6.1081x1-0.9945x2-2.5692x3+0.9963x4; f) 53.1% .
a) The estimated regression equation for predicting fuel efficiency for highway driving is Y = 38.6594 - 5.4198x, where x represents the engine's displacement in liters.
b) The estimated regression equation explains 39.1% of the variation in the sample values of HwyMPG.
c) The estimated regression equation that includes the dummy variables ClassMidsize and ClassLarge is Y = 44.9379 - 5.9522x1 - 1.2758x2 - 2.0102x3, where x1 represents engine's displacement, x2 represents variable ClassMidsize, and x3 represents variable ClassLarge.
d) The estimated regression equation with the added dummy variables explains 49.9% of the variation in the sample values of HwyMPG.
e) The estimated regression equation that includes the dummy variable FuelPremium is Y = 45.2478 - 6.1081x1 - 0.9945x2 - 2.5692x3 + 0.9963x4, where x1 represents engine's displacement, x2 represents variable ClassMidsize, x3 represents variable ClassLarge, and x4 represents variable FuelPremium.
f) The estimated regression equation with all three dummy variables explains 53.1% of the variation in the sample values of HwyMPG.
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Which of the following statements are true?
Select all that apply.
A. 4 is a perfect cube.
B. 16 is a perfect square.
C. 2,197 is both a perfect square and a perfect cube.
D. 8 is a perfect cube.
E. 18 is neither a perfect square nor a perfect cube.
The statements that are true are B and D.
Given are some statements we need to check which is true.
Let's analyze each statement:
A. 4 is a perfect cube.
False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.
B. 16 is a perfect square.
True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.
C. 2,197 is both a perfect square and a perfect cube.
False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.
However, it is a perfect cube because 13³ equals 2,197.
D. 8 is a perfect cube.
True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.
E. 18 is neither a perfect square nor a perfect cube.
True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.
Therefore, the statements that are true are B and D.
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Which BEST describes the relationship between
the two triangles?
A. The triangles are a reflection of each other and are
congruent by side-side-angle.
B. The triangles are a reflection of each other and are
congruent by side-angle-side.
C. The triangles are a translation of each other and are
congruent by side-side-angle.
D. The triangles are a translation of each other and are
congruent by side-angle-side.
What is the tax on an item that is $42.50 if the tax rate is 9%?
Answer:
3.83
Step-by-step explanation:
find 9% of 42.50
A manufacturer produces cherry, peppermint, cinnamon, and orange-flavored gum. Each flavor is available with sugar or sugar-free. The gum
is sold in 2 ounce, 4-ounce, or 8 ounce packages,
How many different types of labels will the manufacturers have to produce?
Answer: The total number of different types of labels will the manufacturers have to produce = 24.
Step-by-step explanation:
Given: Choices for flavours = 4
Choices for sugar = 2 {either sugar or sugar free}
Choices for the qunatity = 3
By Fundamental counting principle,
Total number of different types of labels will have to produce = (Choices for flavors) x (Choices for sugar)x (Choices for the quantity )
= 4 x 2x 3
=24
Hence, the total number of different types of labels will the manufacturers have to produce = 24.
can someone help me with number 10 and 11 pls
Answer:
C and D
Step-by-step explanation:
You multiply the first two numbers and add the exponents of the second two while keeping the base number. I'm 99.9% sure. I hope this helps!
Hai's math problem requires her to draw a rectangle with an area of 60 square units and a perimeter between 30 and 40 units. List three possibilities Hai can use for the dimensions.
Using the area and perimeter of the rectangle given, Hai can use the dimensions 12 units by 5 units, 10 units by 6 units, or 15 units by 4 units to satisfy the conditions of the problem.
What are the possible dimensionsLet's use length (L) and width (W) to represent the dimensions of the rectangle.
The area of a rectangle is given by the formula A = LW, and the perimeter is given by the formula P = 2L + 2W.
We want to find three possibilities for L and W that satisfy the conditions of the problem:
The area is 60 square units: LW = 60The perimeter is between 30 and 40 units: 30 < 2L + 2W < 40We can use the fact that L and W are interchangeable in a rectangle, so we can consider only cases where L is greater than or equal to W.
1. Here are three possibilities:
L = 12 units and W = 5 units
Area: LW = 12 × 5 = 60 square unitsPerimeter: 2L + 2W = 2 × 12 + 2 × 5 = 34 units2. L = 10 units and W = 6 units
Area: LW = 10 × 6 = 60 square units
Perimeter: 2L + 2W = 2 × 10 + 2 × 6 = 32 units
3.L = 15 units and W = 4 units
Area: LW = 15 × 4 = 60 square units
Perimeter: 2L + 2W = 2 × 15 + 2 × 4 = 38 units
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th Write an explicit formula for an, then term of the sequence 80, -20,5.....
Answer:
\(a_n=80\cdot(\frac{-1}{4})^{n-1}\)Explanation:
We can see that 20 is equal to 80 divided by 4 and 5 is equal to 20 divided by 4. Additionally, the sign change for every term. So, the explicit formula for an is:
\(a_n=80\cdot(\frac{-1}{4})^{n-1}\)So, we can prove that this equation applies for the first 3 terms as:
\(\begin{gathered} a_1=80\cdot(\frac{-1}{4})^{1-1}=80 \\ a_2=80\cdot(\frac{-1}{4})^{2-1}=-20 \\ a_3=80\cdot(\frac{-1}{4})^{3-1}=5 \end{gathered}\)Therefore, the answer is:
\(a_n=80\cdot(\frac{-1}{4})^{n-1}\)The Washington's went to dinner at the river view garden.If their dinner cost $92.95 and they left a 18% tip for their sever , how much did they pay altogether?
Answer:
18%
Step-by-step explanation:
Answer:
$109.68
Step-by-step explanation:
92.95 ÷ 100 = .9295
.9295 x 18 = 16.73
92.95 + 16.73 = 109.68
Have a good day I hope this helped! Can get a brainiest if right?
What is the value of
0 4,194,304
020
O 1,024
O 625
Answer: 20
Step-by-step explanation:
if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20
Find the midpoint of the segment with the following endpoints.
(-4,5) and (-1,1)
2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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Find the surface area of the box shown
A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 4 apples and 4 oranges. They also need $12 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Answer:
no
Step-by-step explanation:
The prices are inconsistent, so there is no unique price that can be set for either an apple or an orange that will give the total prices indicated.
__
The first relation can be written as ...
$10 = 4A +4O
$10 = 4(A +O) . . . . factor out 4
$2.50 = A +O . . . . divide by 4
The second relation can be written as ...
$12 = 6A +6O
$12 = 6(A +O) . . . . factor out 6
$2 = A +O . . . . . . . divide by 6
These two relations give different prices for 1 apple and 1 orange. There is no price that can be set for either fruit that will give this result.
No unique prices can be assigned.
Rewrite y = square root 25X - 75 + 3 to make it easy to graph using a translation. Describe the graph
Answer:
D
Step-by-step explanation:
y = sqrt(25x-75)+3
y = sqrt(25(x-3))+3
y = sqrt 5(x-3)+3
transformations:
vertically stretched by a factor of 5
right 3 units
up 3 units
D is the best answer
During a basketball game Jorell attempted 40 shots and made 18. He says he made 40% of the shots he took. Is Jorell correct
Answer:
no
Step-by-step explanation:
18/40 is 45% and he said he made 40%
Answer:
He made 45% of his shots
Step-by-step explanation:
Which ordered pair would form a proportional relationship with the point graphed below?
100 iv
90
8 8 8 8 8 8 3 8
45, 30)
10 20 30 40 50 60 70 80 90
X
(10. 10)
(25, 35)
(70.50
(90.60)
Solve the equation X=
Step-by-step explanation:
I think the answer is x=70
The tangent line to a curve can touch the curve at only one point.
True or false
Step-by-step explanation:
This statement is generally true and can be proven mathematically. In calculus, the tangent line to a curve at a given point is defined as the line that passes through the point and has the same slope as the curve at that point.
If a tangent line touches a curve at more than one point, it means that it has the same slope as the curve at those points, which would mean that the curve has two or more points with the same slope. However, this is not possible for a continuous curve. If a curve has two or more points with the same slope, it would have a point of inflection, a sharp corner, or a cusp at those points, which would break the continuity of the curve.
Therefore, for a continuous curve, the tangent line can touch the curve at only one point. This property is important in calculus and is used to find the slope of the curve at a specific point and to approximate the behavior of the curve near that point.
need help don't know what that middle mayan number is..
Answer:
The number is 1203
Answer below is correct :)
Step-by-step explanation:
Please mark brainliest if it helps! =D
That "shell" figure is supposed to represent 0.
So the number
•••
(shell)
•••
is the base-20 number 303₂₀, which in base-10 is
303₂₀ = 3 × 20² + 0 × 20¹ + 3 × 20⁰ = 1203
please explain the reasoning!!
Answer:
No, the rectangles are not proportional.
Step-by-step explanation:
I say this because the area of the first one is 10ft x 12ft = 120 ft
But, the answer to the second rectangle is 9ft x 8ft = 72ft
Proportional means corresponding in size
So, the rectangles above are not proportional.
Hope this helps!
Find x on this special right triangle
Answer:
the ans is 45⁰ BC it is a right angle
Step-by-step explanation:
Is this a trigonometry ratio
Premise 1: If a person lives in San Francisco, then they live in California. Premise 2: Fred does not live in San Francisco. Conclusion: Fred does not live in California. Let A be the set of people who live in San Francisco, and let B be the set of people who live in California. (a) Draw the Venn diagram that can be used to demonstrate the above information. Include labels for both circles and mark the location of the X. Then choose which option matches your answer? ? C X B (A) B (B) B (C) B (D) А X B (E) (b) Is this argument valid or invalid? Explain on your work paper how you made this conclusion. Invalid
Nice work on selecting "invalid" as the correct answer.
The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.
The venn diagram would either be (A) or (D).
The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.
Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.