Answers
Answer:
[tex] \tan(51°) = \frac{10}{x} \\x = \frac{10}{ \tan(51°) } \\ x = \frac{10}{1.235} \\ \boxed{ x = 8.1}[/tex]
★ Value of x is 8.1.[tex] \sin(51°)= \frac{10}{H} \\ h = \frac{10}{ \sin(51°) } \\ H= \frac{10}{0.777} \\ \boxed{H= 12.8676}[/tex]
★ Value of H is 12.8676.Remember:
tan∅=Perpendicular/Basesin∅=Perpendicular/HypotenuseRelated Questions
(Extra Credit) Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 75% have an emergency locator, whereas 90% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. If it has an emergency locator, what is the probability that it will not be discovered?
Answers
Answer:
0.0323 = 3.23% probability that it will not be discovered
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Has emergency locator
Event B: Probability it will not be discovered.
Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered.
So 20% are not discovered, which means that [tex]P(B) = 0.2[/tex].
90% of the aircraft not discovered do not have such a locator.
So 10% of the aircraft discovered have the location, which means that [tex]P(A|B) = 0.1[/tex]
Probability of having the locator:
75% of 80%(Discovered).
10% of 20%(Not discovered). So
[tex]P(A) = 0.75*0.8 + 0.1*0.2 = 0.62[/tex]
If it has an emergency locator, what is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)} = \frac{0.2*0.1}{0.62} = 0.0323[/tex]
0.0323 = 3.23% probability that it will not be discovered
PLEASE HELP! i have by the end of the day to turn this in. PLEASE DONT GUESS
Answers
Answer:
x = 101°
Step-by-step explanation:
the bottom left angle inside the triangle is supplementary to the angle which measures 148°, so the m∡ is 32°
47 + 32 + x = 180
79 + x = 180
x = 101°
Question need help very hard pls
Answers
Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic theories, also enjoyed trout fishing, ballet and fine wines. He won the 1973 Nobel Prize in economics for his work in creating mathematical models to describe various economic phenomena. In the remainder of this lab we will look at a very simple special case of his work called a closed exchange model. Here is the premise: Suppose in a far-away land of Eigenbazistan, in a small country town called Matrixville, there lived a Farmer, a Tailor, a Carpenter, a Coal Miner and Slacker Bob. The Farmer produced food; the Tailor, clothes; the Carpenter, housing; the Coal Miner supplied energy; and Slacker Bob made High Quality 100 Proof Moonshine, half of which he drank himself. Let us make the following assumptions:
Everyone buys from and sells to the central pool (i.e. there is no outside supply and demand). Everything produced is consumed. For these reasons this is called a closed exchange model. Next we must specify what fraction of each of the goods is consumed by each person in our town. Here is a table containing this information:
Food Clothes Housing Energy High Quality 100 Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.2
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.1
Coal Miner 0.2 0.15 0.2 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.5
So for example, the Carpenter consumes 22% of all food, 19% of all clothes, 22% of all housing, 22% of all energy and 10% of all High Quality 100 Proof Moonshin. The columns in this table all add up to 1. Explain why this happens.
Answers
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
solve the equation
PLZ I need a good grade
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answer:
p = 6
1. pull out like factors
7p - 42 = 7 • (p - 6)
2. solve it
7=0
this equation can't be solved, therefore has no solution.
233 + 628 I want this answer please
THX
Answers
Answer:
861
Step-by-step explanation:
Calculator
Answer:
861
Step-by-step explanation:
The Picture has the answers and the question.
Answers
Answer:
B
Step-by-step explanation:
Need help don’t know what to do I’m confused
Answers
Answer:
-x + y = 8
Step-by-step explanation:
Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{10-7}{2-(-1)} = \frac{3}{3} or 1[/tex]
slope = 1, m represents the slope
y - y1 = m(x - x1)
choose any point ( -1, 7 ) or ( 2,10 )
y - 7 = 1( x + 1 )
y - 7 = x + 1
-x + y = 8
Given this equation y = x2 + 2x -5 , Find the average rate of change over the interval 2 ≤ x ≤ 4 ?
Answers
Answer:
The average rate of change is 8.
Step-by-step explanation:
We are given the equation:
[tex]y=x^2+2x-5[/tex]
And we want to find the average rate of change on the interval [2, 4].
When finding the average rate of change, we essentially find the endpoints and then find the slope between them.
So, the endpoints are:
[tex]y(2)=(2)^2+2(2)-5=3[/tex]
And:
[tex]y(4)=(4)^2+2(4)-5=19[/tex]
So, the average rate of change between them is:
[tex]\displaystyle m=\frac{19-3}{4-2}=\frac{16}{2}=8[/tex]
Find the slope of a line perpendicular to y = -3/4x + 5. show your work.
Answers
Answer:
4/3
Step-by-step explanation:
All you have to do is find the reciprocal of the slope and switch to the opposite sign.
-3/4
flip
-4/3
switch
4/3
Sorry if this doesn't really make much sense. I don't know how else to explain this.
side length z =
angle d =
Answers
angle d=53
since they are similar triangles, angles should be the same, therefore,
d=53
if we consider the ration between the sides of the first triangle, its,
6:8:10 = 3:4:5 (when divided by the least common factor; 2)
by applying the same ratio for the second triangle, we can get,
15:20:25 (u can first divide both 15 and 25 by 5 and then multiply each term in 3:4:5 by 5)
therefore, z=20
The diagram shows a piece of cheese in the shape of the triangular prism.Work out the area of the cling film needed to cover the cheese
Answers
Answer:
488.4 cm²
Step-by-step explanation:
Area of cling film needed = surface area of the triangular prism = 2(B.A) + P×H
Where,
B.A = triangular base area = ½*base*height
height = 10.5 cm
base = √(13.7² - 10.5²) = √77.44 = 8.8 cm
B.A = ½*8.8*10.5 = 46.2 cm²
P = perimeter of the triangular base = 10.5 + 13.7 + 8.8 = 33
H = height of prism = 12 cm
Surface area of triangular prism = 2(46.2) + 33*12
= 92.4 + 396
= 488.4 cm²
Help me out with the answer
Answers
Answer:
C i think
Step-by-step explanation:
What is the name of the line passing through the vertex that divides
the parabola into two symmetric parts?
Answers
Answer:
symmetryStep-by-step explanation:
is the line that divides the parabola into two mirror imagesAnswer:
line of symmetry
Step-by-step explanation:
Can some one help thanks
Answers
Answer:
y = 8
Step-by-step explanation:
First substitute x with 6 in the equation
2y + 1/3(6) = 18
Multiple 1/3 with 6, which is 2
2y + 2 = 18
Solve the equation by subtracting 2 from both sides
2y + 2 = 18
- 2 - 2
You get 2y = 16, so you divide 2 frm both sides
You get y = 8
Emily and Miranda are standing outside. Emily is 5 feet tall and casts a shadow of 28 inches. Miranda's shadow is 29.4 inches long. Approximately how tall is Miranda?
Answers
Answer:
5.25ft
Step-by-step explanation:
i got the question right so thats it
Answer:
5 1/4
Step-by-step explanation:
5 1/4 to decimal form is 5.25
Factor the common expression: 2x + 4 =
Answers
Answer:
2(x+2)
Step-by-step explanation:
Hope it helps you
apriquide Rd
.) Travis is planning to ride at a constant speed during an upcoming bike trip. He wants to know
how many miles he will ride after different numbers of hours.
c) Plot two points that show how far Travis
will ride after 3 hours and after 4 hours.
Answers
Answer:
3 times 30 miles and 4 times 40 miles
Step-by-step explanation:
Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.
What is Speed?Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.
Speed is a scalar quantity as it only has magnitude and no direction.
Given that,
Travis is planning to ride at a constant speed during an upcoming bike trip.
This implies that the slope of the graph will be a constant.
So the graph will be a straight line.
We have two points on the graph (1, 10) and (2, 20).
The starting point will be (0, 0).
Slope = (20 - 10) / (2 - 1) = 10
So the equation of the line is y = 10x.
When x = 3 hours, y = 30 miles
When x = 4 hours, y = 40 miles
Hence the points has to be marked at (3, 30) and (4, 40).
Learn more about Speed and Slope here :
https://brainly.com/question/13281781
#SPJ2
The complete question with the graph is given below.
Help on No. 4 plz..............
Answers
Answer:
12Step-by-step explanation:
to understand thisyou need to know about:similarityPEMDASgiven:scale factor:2:5SV:30TIPS AND FORMULAS:SV~QRlet's solve:according to the question
[tex]step - 1 : define[/tex]
[tex] \frac{2}{5} \times 30[/tex]
[tex]step - 2 : simplify[/tex]
[tex] \frac{60}{5} [/tex]
[tex] \huge 12[/tex]
(6 1/2+2 2/5 )+ 2 1/2 using properties of addition
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8 9/10 + 2 1/2
= 11 2/5
Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?
Answers
Answer:
105 hopefully this helps you
100 Points help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
wait so you have t
Step-by-step explanation:
Answer:
I AGREE
Step-by-step explanation:
Help please I really need it
Answers
Answer:
angle 1 and angle 3
a knife is three times the cost of a spoon. 9 spoons and 12 knives cost £82.80. Work out the cost of one knife.
Answers
Please help me I’m not good with graphs
Answers
Answer:
I'm pretty sure it's 2 and 3
Good luck:)
What is equivalent to 12/24
Answers
Answer:
1/2
0.5
2/4
3/6
4/8
50%...
Step-by-step explanation:
graph y-2=-3(x-4). please help me
Answers
Y = 3 (-2 - 4)
Y = 6 + 12
Y= 18
Plz help me with the problem
Answers
Answer:Step-by-step explanation:
Just tell me the problem
2. Use the figure below and angle relationships to
find the measure of each angle.
54°
1
2
Answers
Answer:
m<1 = 90°
m<2 = 36°
Step-by-step explanation:
✔️m<2 + 54° = 90° (complementary angles)
m<2 = 90° - 54° (subtraction property of equality)
m<2 = 36°
✔️m<1 = m<2 + 54° (supplementary angles)
m<1 = 36° + 54°
m<1 = 90°
FIND THE VALUE OF X! please help !
Answers
Answer:
yes, it's 20
Step-by-step explanation:
first you should find the area
