Answer:
27 units
Step-by-step explanation:
6 (base) × 9 (height) = 54
54 × 1/2 = 27
What is the purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects?
The purpose of knowing the angle of elevation and depression in relation to the field of surveyor, military/police, aeronautics (pilot), engineers, landscapers, and architects is discussed below
What is angle of elevation and depression?If a person stands and looks up at an object, the angle of elevation is the angle between the horizontal line of sight and the object. If a person stands and looks down at an object, the angle of depression is the angle between the horizontal line of sight and the object.
If the pilot looks straight out, that line of sight is horizontal (focused on the distant horizon). The pilot might see the airport's runway, distant buildings, or even mountains in her field of view.
If the pilot looks down at the ground, the one will see the ground crew. The angle of depression is the angle that is formed between the horizontal and the downward looking angle. It is always a downward view, an angle below the horizon.
For the ground crewmember, looking down would not be much help in communicating with the pilot in her cockpit seat. The crewmember will look up, above the horizontal line, to see the pilot. The ground crewmember's angle of vision if an angle of elevation, the angle above the horizon.
Angle of elevation or depression in a survey can be defined as the angle subtended between the line of sight passing through the scope and the horizontal axis of the instrument.
Engineers, landscapers, architects all use trigonometry in their everyday life to help them efficiently and safely create or design something new.
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Suppose f(x)=6x-2 and g(x)=2x+4. Find each of the following functions.
a. (f+g)(x)
b. (f-g)(x)
Answer:
a) (f + g)(x) = 8x + 2
b) (f - g)(x) = 4x - 6
Step-by-step explanation:
Given:
f(x) = 6x - 2g(x) = 2x + 4a) Find (f + g)(x):
a. (f + g)(x) = f(x) + g(x)
⇒ (f + g)(x) = (6x - 2) + (2x + 4)
⇒ (f + g)(x) = 6x + 2x - 2 + 4
⇒ (f + g)(x) = 8x + 2
b) Find (f - g)(x):
b. (f - g)(x) = f(x) - g(x)
⇒ (f - g)(x) = (6x - 2) - (2x + 4)
⇒ (f - g)(x) = 6x - 2x - 2 - 4
⇒ (f - g)(x) = 4x - 6
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Volume of a triangular prism with numbers 3 4 5 6
Answer:
Step-by-step explanation:
V=14h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4aBase sidebBase sidecBase sidehHeight
Perform the indicated operation
Answer:
Step-by-step explanation:
How do I write 3x3x3x3 in Standard Form
Answer:
3 to the fourth power, which equals 81.
Step-by-step explanation:
what is three and 2 fourths and minus two and three fourths
Answer:
The answer is 0.75
Hope this helps!
The temperature inside of a storage building in degrees Fahrenheit can be modeled using the equation f(t)=-8.3cos((pi/5)•t+63.7 where t is the number of hours since midnight
The temperature at midnight is 55.4 degrees Fahrenheit
How to determine the temperature at midnight?The information that completes the question is "At what temperature is the building at midnight?"
The function is given as:
f(t) = -8.3cos(π/5)t + 63.7
At midnight, t = 0.
So, we have:
f(0) = -8.3cos(π/5) * 0 + 63.7
Evaluate the product
f(0) = -8.3cos(0) + 63.7
Evaluate the expression
f(0) = 55.4
Hence, the temperature at midnight is 55.4 degrees Fahrenheit
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Select the correct solution method below, where x represents Kendall’s money
The correct solution method of Kendall's money is 7x = 98. Divide both sides by 7. Kendall had $14
How to write equation?x = Kendall's money
Mateo's money = $98
= 7 × x
The equation:
7 × x = 98
7x = 98
x = 98/7
x = $14
Therefore, the correct answer is option B
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An artist is designing a website to showcase his 15-inch-wide paintings. The website will include scaled-down images of the paintings called thumbnails. For ease of viewing and to keep the thumbnail images large enough to show some detail, the artist decides to put three thumbnail images in a row so that any two adjacent images are separated by a space of 40 pixels, as shown in the figure above. If the website is 800 pixels wide, what should be the scaled size (in pixels per inch of painting) of the thumbnails?
The scaled size of the thumbnails is 16 pixels per inch of painting
How to determine the scaled size?The given parameters are:
Width = 15 inchesWebsite = 800 pixelsThe space between adjacent images is 40 inches.
Given that there are two spaces, the remaining space is:
Remaining = 800 - 2 * 40
Remaining = 720
Given that there are three samples of image, the width of each image is:
Image = 720/3
Divide
Image = 240 pixels
The scaled size is then calculated using:
Scale = Image scale width/actual width
This gives
Scale = 240/15
Evaluate
Scale = 16
Hence, the scaled size of the thumbnails is 16 pixels per inch of painting
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Help me out please….
Answer:
There two images below,
one is the final product and one of how it was reflected
Given f(x) = -x + 5, find f(-3).
Answer:
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Given f(x)=-x+5, find f(-3).
[tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
We have the function
[tex]\longmapsto\sf{f(x)=-x+5}[/tex]
We need to find
[tex]\longmapsto\sf{f(-3)=}[/tex]
What we need to do:-Replace x with -3:-[tex]\longmapsto\sf{f(x)=-(-3)+5}[/tex]
Simplifying,
[tex]\longmapsto\sf{f(x)=3+5}[/tex]
(which is the exact same thing as 5-3)
Henceforth, We conclude that the answer is
[tex]\longmapsto\sf{f(-3)=8}[/tex]
Good luck with your studies. [tex]\ddot\smile[/tex]#TogetherWeGoFar ~
[tex]\rule{300}{1}[/tex]
Hey there!
Find f(-3) :
Answer :f(-3) = 8 ✅
Explanation :f(x) = -x + 5
>> Substitute -3 for x in f(x) :
f(-3) = -(-3) + 5
f(-3) = 3 + 5
f(-3) = 8
Therefore, your answer is f(-3) = 8
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Help me I’m confused
The properties used is [tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]
the correct option is (A).
What is exponents and power?
power can be defined as an expression that represents repeated multiplication of the same number whereas exponent is the quantity that represents the power to which the number is raised.
Given:
[tex]4^{\frac{5}{3} } = \sqrt[3]{4^{5} }[/tex]
We can use the following property
[tex]\sqrt[3]{4^{5} } = (4^{5})^{\frac{1}{3} } = 4^{\frac{5}{3} }[/tex]
By using the property we can find the answer.
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Solve the equation by completing the square.
0 = 4x2 − 64x + 192
A.
x = -12, -4
B.
x = 4, 12
C.
x = -8, 24
D.
x = -24, 8
Answer:
A
Step-by-step explanation:
HELP ON 1 & 2 THANK YOU
[1] n = -2
We will convert the words given into a mathematical equation and then solve by isolating the variable. Let n be "a number"
19 decreased by four times a number is 17
19 - four times a number is 17
19 - 4 n is 17
9 - 4n = 17
-
9 - 4n = 17
- 4n = 8
n = -2
[2] x = -1, y = 3, or (-1, 3)
I will plug the first equation into the second from the system of equations given to us because it already has an isolated variable, y.
2y - 2x = 8
2(2x + 5) - 2x = 8
4x + 10 - 2x = 8
2x = -2
x = -1
Now, I will plug this value back into the equation and solve for y.
y = 2x + 5
y = 2(-1) + 5
y = -2 + 5
y = 3
Find the values of the six trig functions for theta on each triangle.
Step-by-step explanation:
Select four types of data demographers study to make predictions.
birth rate
death rate
employment
income
marriage
migration
pushpa Rajkgf chapter 2VOLINCE VOLINCE VOLINCERRRIf you draw all of the diagonals from one vertex of a regular hexagon, how
many triangles do you make?
If you draw all of the diagonals from one vertex of a regular hexagon we make 5 triangles. This is further explained below.
What is a hexagon?Generally, the hexagon is simply defined as the hexagon is a polygon with six sides. to be considered a hexagon, the form must have six sides, all of which must be closed.
In conclusion, We get five triangles if we draw the diagonals of a regular hexagon starting at a single vertex.
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answer this fully! i need to know what x equals
answer this fully! i need to know what x equals
X equal minus 0.5
HELP ASAP ILL MAKE YOU THE BRAINIEST
find the value of c
Work Shown:
tan(angle) = opposite/adjacent
tan(61) = x/9
x = 9*tan(61)
x = 16.2364298 approximately
Your calculator needs to be in degree mode. One quick way to check is to type in something like tan(45) and the result should be 1.
Given the following f(x) = 3x² + 7x³ + 8x^4; g(x) = -3x + 12x² - 5x³; and h(x) = 12x +
6
Complete the following: (f.h)(x)
96x5 +132x4+78x³ + 18x²
96x +132x4+78x³ + 18x²
96x5 + 122x + 78x³ + 18x²
96x5 +132x4+84x³ + 18x²
The value of the function (f.h)(x) is 96x⁵ + 132x⁴ + 78x³ + 18x²
How to solve function?f(x) = 3x² + 4x³ + 8x⁴
g(x) = -3x + 12x² - 5x³
h(x) = 12x + 6
Therefore,
(f.h)(x) = f(x).h(x)
Hence,
f(x).h(x) = (3x² + 7x³ + 8x⁴)(12x + 6)
f(x).h(x) = 36x³ + 18x² + 84x⁴ + 42x³ + 96x⁵ + 48x⁴
(f.h)(x) = 96x⁵ + 84x⁴ + 48x⁴ + 36x³ + 42x³ + 18x²
(f.h)(x) = 96x⁵ + 132x⁴ + 78x³ + 18x²
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Solve below functions word problem ASAP
The revenue function when the assumed values and parameters are used is F(x) = (60 + 8x)(250 - 30x)
The assumed valuesTicket price = $60 per ticketPeople = 250Increase in price = 8Decrease in people = 30The revenue functionLet the number of people be x, and the revenue function be F(x).
Using the assumed values, the revenue function is:
F(x) = (60 + 8x)(250 - 30x)
The maximum fundsWe have:
F(x) = (60 + 8x)(250 - 30x)
Expand
F(x) = 15000 - 1800x + 2000x - 240x²
Differentiate the function
F'(x) = -1800 + 2000 - 480x
Evaluate
F'(x) = 200 - 480x
Set to 0
200 - 480x = 0
This gives
480x = 200
Divide both sides by 480
x = 0.42
Substitute x = 0.42 in F(x)
F(x) = (60 + 8 * 0.42)(300 - 30* 0.42)
Evaluate
F(x) = 18210
Hence, the maximum revenue is $18210, at a rate of $0.42 per person.
Would they raise $5000?We start by setting F(x) to 5000.
So, we have:
15000 - 1800x + 2000x - 240x² = 5000
Evaluate the like terms
10000 + 200x - 240x² = 0
Using a graphing tool, we have:
x = 6.89
Hence, they would reach their goal at a rate of $6.89 per ticket.
The cost function
We have:
People = x
Cost per person = 20
So, the cost function is:
C(x) = 20x
The profit functionProfit is calculated using:
P(x) = F(x) - C(x)
So, we have:
P(x) = 15000 - 1800x + 2000x - 240x² - 20x
Evaluate
P(x) = 15000 + 180x - 240x²
The break even priceThis is the point where P(x) = 0.
So, we have:
15000 + 180x - 240x² = 0
Using a graphing tool, we have:
x = 8.29
Hence, the break even price is $8.29
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Parville surveys every 15th person in the
town to see if there is support for a new
library and there are 40,161. How many people are surveyed?
Answer:
2677.4
Step-by-step explanation:
40161/15
In circle B below, diameter RT, radius BE, and chord RE are drawn.
If m2TRE = 15° and BE = 9, then the area of sector EBR is
The area of sector EBR in the given diagram attached below is: 33.75π units².
What is the Area of a Sector?Area = θ/360º × πr²
Given the following:
m∠TRE = 15° BE = 9Measure of arc TE = 2(m∠TRE) = 2(15) [inscribed angle theorem]
Measure of arc TE = 30°
Arc RE = 180 - arc TE = 180 - 30 [semicircle]
Arc RE = 150°
m∠EBR = Arc RE = 150°
Area of sector EBR = m∠EBR/360 × π(BE²)
Area of sector EBR = 150/360 × π(9²)
Area of sector EBR = 33.75π units²
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Express cos K as a fraction in simplest terms.
9
M
15
Answer: cos K=
K
Submit Answer
Answer:
4/5
Step-by-step explanation:
In a right triangle such as this one
cos (angle) = adjacent leg / hypotenuse
cos(k) = KL / 15
You will need to find the leg length KL using Pythagorean Theorem
15^2 = 9^2 + (KL)^2 KL = 12
then cos k = 12/15 = 4/5
11. 7b + (4b - 6)
12. 8d2 + (6d2 - 4d)
13. (5x2 + 4) + (-3x2 - 4)
14. [-4x + (10 - 5x)] + 5x
15. 8 + [5 + (6 + x)]
16.
+3c - 7d
- 2c + 5d
- c + 8d
+4c - 6d
17.
3a + 8b - 5c
6a - 9b + 4c
-7a + b + 2c
18.
+6p - 3q + z
- 3p + 2q - z
- p + 00q___
Answer: 11. [tex]11b-6[/tex]
12. [tex]14d^2-4d[/tex]
13. [tex]2x^2[/tex]
14. [tex]-4x+10[/tex]
15. [tex]19+x[/tex]
16. [tex]4c[/tex] (all together, the problems aren't entered correctly)
17. Nothing further can be done with these equations. Please check the expression entered.
18. [tex]2p-q[/tex] (All together, the problems aren't entered correctly)
Step-by-step explanation:
11.[tex]\quad \:a+\left(b+c\right)=a+b+c[/tex]
[tex]7b+\left(4b-6\right)=7b+4b-6[/tex]
[tex]=7b+4b-6[/tex]
[tex]7b+4b=11b[/tex]
[tex]=11b-6[/tex]
12.[tex]2d*(7d-2)=14d^2-4d[/tex]
[tex](8 * (d^2)) + ((2*3d^2) - 4d)[/tex]
[tex]2^3d^2 + (6d^2 - 4d)[/tex]
[tex]14d^2 - 4d = 2d * (7d - 2)[/tex]
13.[tex]((5*(x^2))+4)+((0-3x^2)-4)[/tex]
[tex](5x^2 + 4) + (-3x^2 - 4)[/tex]
[tex]=2x^2[/tex]
14.[tex]-4x+10-5x+5x[/tex]
[tex]-4x-5x+5x+10[/tex]
[tex]-4x-5x+5x=-4x[/tex]
[tex]=-4x+10[/tex]
15.[tex]8+5+6+x[/tex]
[tex]\:8+5+6=19[/tex]
[tex]=19+x[/tex]
Answer: 2a + c is the answer for #17 and #18 is 2p.
17.
3a + 8b - 5c
6a - 9b + 4c
-7a + b + 2c =
2a + c
18.
+6p - 3q + z
- 3p + 2q - z
- p + q =
2p
Step-by-step explanation:
(5√3-√27)^3
how do you prove that this is an integer?
Keys:
[tex]\left(a\cdot \:b\right)^n=a^nb^n[/tex]Step-by-step explanation:
[tex]\left(5\sqrt{3}-\sqrt{27}\right)^3\\\5\sqrt{3}-\sqrt{27}^3=\left(2\sqrt{3}\right)^3\\= 2\sqrt{3}\\\left(2\sqrt{3}\right)^3=2^3\left(\sqrt{3}\right)^3\\=2^3\left(\sqrt{3}\right)^3\\2^3=8\\=8\left(\sqrt{3}\right)^3\\=8\cdot \:3\sqrt{3}\\8\cdot \:3=24\\=24\sqrt{3}[/tex]
Answer:
It is not an integer.
Step-by-step explanation:
[tex](5\sqrt{3} -\sqrt{27} )^3\\\\=(\sqrt{3} *(5-3))^3\\\\=8*3*\sqrt{3} \\\\=24\sqrt{3} \\[/tex]
i can figure out
12 is greater than four times a number g
Answer:
"Find g to make this statement true".
12 > 4 • g
The answer of the given expression is 1 & 2.
Concept:Firstly, convert word form into numerical expression.Then Simplify the given expression.How to solve the given question?Convert word form into numerical expression.Thus, the answer of the given expression is 1 & 2.
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find the length for point a to point
b
What is the approximate length of minor arc JH? Round to the nearest tenth of a centimeter.
3.5 cm
6.9 cm
21.6 cm
46.8 cm
The length of the arc is 3.5 cm
How to determine the arc length?The attached image completes the question
The given parameters are:
Diameter, d = 16Central angle, x = 25The length of the arc is calculated as:
[tex]L = \frac{x}{360} * \pi d[/tex]
So, we have:
[tex]L = \frac{25}{360} * 3.14 * 16[/tex]
Evaluate the product
L = 3.5cm
Hence, the length of the arc is 3.5 cm
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Answer:3.5
Step-by-step explanation:
Do these two statements contradict
each other?
aurt is scalene
and aurt is obtuse.
yes
no
a scientist notes that the number of bacteria in a colony is 50.3 hours later, she notes that the number of bacteria has increased to 80. if this rate of growth continues, how much more time will it take for the number of bacteria to reach 1119?
Answer:
16.8 hours
Step-by-step explanation:
An exponential population increase can be modeled by the function ...
p(t) = a·b^(t/p)
where 'a' is the initial value (at t=0), b is the multiplier in time period p.
__
setupThe colony increased by a factor of b = 80/50 = 1.6 in p = 3 hours. Since we want to find the additional time to reach a population of 1119, the initial population we're working with is 80, not 50.
p(t) = 80·1.6^(t/3)
1119 = 80·1.6^(t/3)
__
solutionSolving this for t, we find ...
1119/80 = 1.6^(t/3) . . . . . . . . . . . . divide by 80
log(1119/80) = (t/3)log(1.6) . . . . . take logarithms
t = 3·log(1119/80)/log(1.6) . . . . . divide by the coefficient of t
t ≈ 16.8 . . . . hours
It will take about 16.8 more hours for the population to increase from 80 to 1119.