An observer (O) spots a plane (P) taking off from a local airport and flying at a 33° angle horizontal to her line of sight and located directly above a tower (T). The observer also notices a bird (B) circling directly above her. If the distance from the plane(P) to the tower (T) is 7,000 feet, how far is the bird (B) from the plane (P)? Round to the nearest whole number.
Answer:
the distance of the Bird (B) from the plane (P) is = 10779 ft
Step-by-step explanation:
From the given information:
a diagrammatic representation is attached below for better understanding and solution to the question.
From the diagram;
Let the Bird (B) be represent as A
The plane (P) be represented by B
The observer be represented by O
and the tower T be represented by C
we will see that:
[tex]\overline {AB} \ \| \ \overline {OC}[/tex]
Also;
[tex]\angle ABO = \angle BOC = 33^0[/tex]
AO = BC = 7000
Let consider the trigonometry of triangle BAO
tan θ = opposite/adjacent
tan 33° = 7000/x
0.6494 = 7000/x
x = 7000/0.6494
x = 10779.18
x = 10779 ft ( to the nearest whole number)
Thus; the distance of the Bird (B) from the plane (P) is = 10779 ft
Answer: 10,779 feet
Step-by-step explanation: I just took the test and got it right
What does Cos a/2 equal to?
Answer:
cos(α2)= −1/5√2
Step-by-step explanation:
you are given tan(α)=7/24 , so you can find the length of the hypotenuse using the Pythagorean theorem, which is a2+b2=c2 with a and b being the legs of the triangle and c being the hypotenuse of the triangle.
c2=7^2+24^2
⟹c2=49+576
⟹c2=625
⟹c=25
if π<α<3π/2 , then α has to lie in quadrant III where cosine is negative. so cos(α)= −24/25
The half-angle identity for the cosine function is cos(α2)=±√1+cos(α)/2 , so plugging the information in, we get
cos(α2)=±√ 1+(−24/25)/2
⟹ cos(α2)=±√1/25 / 2
⟹cos(α2)=±√1/50
⟹cos(α2)=±1/5√2
Perform the following operation and express the answer in scientific notation. 9x10^2/3x10^12
Answer:
3 multiplied by 10^-10
Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
Answer: y = 3x + 1
Step-by-step explanation:
In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.
Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).
m = 3
And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:
b = 1
Now put these two values into one equation.
y = mx + b
y = (3)x + (1)
y = 3x + 1
1. Jane saved up 20 coins, all nickels and
quarters, and when she counted it, she had
$3.00. How many nickels and how many
quarters did she have?
Let
Let
Equation:
Equation:
Sentence:
Answer:
10 nickels and 10 quarters
Step-by-step explanation:
Given
Number of coins: 20
Vaiue of coins = $3.00
Required
Number of Nickels and Quarters;
Let N =Nickels and Q =Quarters
The total coins is represented as:
[tex]N + Q = 20[/tex]
1 nickel is equivalent to $0.05 and 1 quarter is equivalent to $0.25; So
[tex]0.05N + 0.25Q = 3[/tex]
Make N the subject of formula in the first equation
[tex]N = 20 - Q[/tex]
Substitute this in the second equation
[tex]0.05(20 - Q) + 0.25Q = 3[/tex]
[tex]1 - 0.05Q + 0.25Q = 3[/tex]
Collect like terms
[tex]-0.05Q + 0.25Q = 3 - 1[/tex]
[tex]0.2Q = 2[/tex]
Multiply both sides by 5
[tex]5 * 0.2Q = 2 * 5[/tex]
[tex]Q = 10[/tex]
Recall that N = 20 - Q
[tex]N = 20 - 10[/tex]
[tex]N = 10[/tex]
Simplify this algebraic expression,
X-5/5+10
O A. x-3
O B. x + 11
O C. x+ 9
O D. X-9
The simplified form of an algebraic expression is x+9.
The given algebraic expression is x-5/5+10.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, x-5/5+10=x-1+10
=x+9
Therefore, the simplified form of an algebraic expression is x+9.
To learn more about an algebraic expression visit:
https://brainly.com/question/953809.
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Write the equation of the line that passes through the points (8,-2)(8,−2) and (5,5)(5,5). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
[tex]slope=\frac{y_2-y_1}{x_2-x_1} \\slope=\frac{5-(-2)}{5-8}\\slope=\frac{7}{-3} \\slope=-\frac{7}{3}[/tex]
Now we use this slope in the general slope-intercept form of a line;
[tex]y=mx+b\\y=-\frac{7}{3} x+b[/tex]
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
[tex]y=-\frac{7}{3} x+b\\5=-\frac{7}{3} (5)+b\\5=-\frac{35}{3} +b\\b=5+\frac{35}{3}\\b=\frac{50}{3}[/tex]
The the equation of the line is
[tex]y=-\frac{7}{3} x+\frac{50}{3}[/tex]
Can anyone give me the median and mean of this problem
Answer:
Mean = 76
Median = 75.2
Step-by-step explanation:
Mean - put all the temperatures in order and pick the middle one.
Median - add all the temperatures together and divide by 20.
what is 11 1/3 rounded to the nearest half? ( hurryyy)
Answer:
11 1 /2
Step-by-step explanation:
PLEASE HELP! The length of time a full length movie runs from opening to credits is normally distributed with a mean of 1.9 hours and standard deviation of 0.3 hours. Calculate the following: A random movie is between 1.8 and 2.0 hours. A movie is longer than 2.3 hours. The length of movie that is shorter than 94% of the movies.
Answer:
A random movie is between 1.8 and 2.0 hours.
z=1.8-1.9/0.3= -0.33= 0.3707
z=2.0-1.9/0.3= 0.33= 0.6293
0.6293-0.3707= 0.2586
Therefore, the chance a random movie is between 1.8 and 2.0 hours long is 0.2586.
A movie is longer than 2.3 hours.
z=2.3-1.9/0.3 =1.33 =0.9082
1-0.9082= 0.0918
Therefore, the chance a movie is longer than 2.3 hours is 0.9082.
The length of movie that is shorter than 94% of the movies
z=x-1.9/0.3= 0.94
z=x-1.9/0.3= 1-0.94= 0.06
=x-1.9/0.3= 0.06= -1.56
x= 1.432
Therefore, the length of the movie that is shorter than 94% of the movies about 1.4 hours.
Step-by-step explanation:
In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? 35° 54° 76° 104°
Answer:
The correct option is C
C) 76°
Step-by-step explanation:
The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.
We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.
<2 = <4
126 = 7x
x = 18
Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.
<7 = <5
<7 = 4x+4
Substitute x=18
<7 = 4(18) + 4
<7 = 76°
Answer:
option c
Step-by-step explanation:
hope this helps :)
27. Solve the equation.
Answer: r=-56
Step-by-step explanation:
multiply 7 on both sides
[tex]\frac{7r}{7}=7\left(-8\right)[/tex]
7*-8=-56
7 and 7 is eliminated
so x=-56
Answer:
r= -56
Step-by-step explanation:
The equation given is:
[tex]\frac{r}{7}= -8[/tex]
We want to solve for r. In order to do this, we must get r by itself.
Currently, r is being divided by 7. We want to perform the inverse, which is multiplication. Therefore, we should multiply both sides of the equation by 7.
[tex]7*\frac{r}{7}= -8 * 7[/tex]
[tex]r=-8*7[/tex]
[tex]r= -56[/tex]
Let's check our solution. Substitute -56 back in for r and solve.
[tex]\frac{r}{7}= -8[/tex]
[tex]\frac{-56}{7}= -8[/tex]
[tex]-8=-8[/tex]
Both sides of the equation are the same, so we know our answer is correct.
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2000 ft x 2= 4000 ft
So the answer is 4000 ft
What fraction of the boys are red headed
Answer:
19/64
Step-by-step explanation:
number of boys:
11+21+13+19=64red haired boys:
19The fraction:
19/64Answer:
19/64
Step-by-step explanation:
number of boys: 11+21+13+19=64
red haired boys: 19
The fraction: 19/64
Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.
Answer:
A,C,&D
Step-by-step explanation:any funny bur cute romance anime recommendations?
a store bought a vacuum cleaner for $120. the overhead is 5% of the cost. the store wants to make a profit of 10% over the cost plus overhead. find the selling price of the cleaner.
Answer:
The selling price of the cleaner is:
$138.6Step-by-step explanation:
First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:
$120 * 5% = $6This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):
$126 * 10% = $12.6And you must add this value to obtain the final price in the store:
$126 + $12.6 = $138.6Graph the image of the figure after a dilation with a scale factor of 1/3 centered at(1, - 2).
Answer:
point (4, 7) will go to (2, 1)
point (-8, 4) will go to (-2, 0)
point (-8, -2) will go to (-2, -2)
Step-by-step explanation:
Answer:
point (4, 7) will go to (2, 1)
point (-8, 4) will go to (-2, 0)
point (-8, -2) will go to (-2, -2)
ASAP simplify -3(2c+5)=33
Answer:
c=8
Step-by-step explanation:
-3(2c+5)=33
-6c-15=33
-6c=33+15
-6c=48
c=48/6
c=8
Answer:
if you are solving for C it will be -8.
Step-by-step explanation:
Start by dividing both sides of the equation by -3.
2c + 5= -11
Now Subtract 5 from both sides
2c = -11 - 5 (combime like terms) so 2c = -16
Now divide both sides by 2
You will get C= -8
Help please thank you
Step-by-step explanation:
Complementary angles mean that the sum of the angles equals 90 degrees.
This means that
A+B=90
(2x-13)+(4x-5)=90
expand and simplify
2x+4x-13-5=90
6x = 90+18 = 108
x = 108/6=18 degrees.
=>
B=4x-5=4*18-5=72-5=67 degrees
check:
A=2x-13=2*18-13=36-13=23 degrees
A+B=23+67=90 degrees => A and B are complementary
Given the function f(x)=-3x^2+4x+6 find f(2) and f(3)
Answer:
f(2)= 2, f(3)= -9
Step-by-step explanation:
To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:
f(2)= -3(2)^2 + 4(2) + 6
f(2)= -12 + 8 + 6
f(2)= 2
f(3)= -3(3)^2 + 4(3) + 6
f(3)= -27 + 12 + 6
f(3)= -9
0147:03
Which system of linear inequalities is represented by
the graph?
O y2X-2 and x - 2y <4
O y2 x + 2 and x + 2y <4
O y> x-2 and x + 2y < 4
O y>X-2 and x + 2y <-4
Answer:
y ≥ x - 2 and x + 2y < 4
Step-by-step explanation:
There are two lines graphed.
The dotted line passes through (0,2) and (4,0), then:
slope (m): (0 - 2)/(4 - 0) = -1/2
y-intercept (b): 2
equation:
y = mx + b
y = -1/2x + 2
multiplying by 2 at both sides, we get
2y = -x + 4
x + 2y = 4
The inequality is x + 2y < 4 because points below this line are shaded and points on the line are not included.
The solid line passes through (0,-2) and (2,0), then:
slope (m): (0 - (-2))/(2 - 0) = 1
y-intercept (b): -2
equation:
y = x - 2
The inequality is y ≥ x - 2 because points above this line are shaded and points on the line are included.
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?
Answer:
0.43 is the answer
Step-by-step explanation:
you need to take the total of action movie and divide it by the grand total.
204/478 ≈ 0.43
The probability that a randomly chosen person from this group an action movie is 0.43.
What is probability?Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.
Hence;
Probability of a male watching an action movie = 105/479
Probability of a female watching an action movie = 99/479
probability that a randomly chosen person from this group an action movie = 105/479 + 99/479 = 0.43
Learn mor about probability: https://brainly.com/question/14227610
Can someone please help me with these two
Answer:
1a. {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
1b. {5}
Step-by-step explanation:
For part 1:
A U B is the union of all values, so {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Remember that union means to include all values.
A n B is the intersection of all values, so {5}
Remember that the intersection means "what do they have in common".
if a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab))
O (a - b)^)
O (a + b)(x)
Answer:
[tex](ab)(x)[/tex]
Step-by-step explanation:
Data provided in the question
a(x) = 2x - 4
b(x) = x + 2
Now we go through each options
First option
[tex](ab)(x)=(2x-4)(x+2)[/tex]
[tex]=2(x-2)(x+2)[/tex]
[tex]=2(x^2-4)[/tex]
[tex]=2x^2-8[/tex]
Second option
[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]
Third option
[tex](a-b)(x)=(2x-4)-(x+2)[/tex]
[tex]=2x-4-x-2[/tex]
= x - 6
Fourth option
[tex](a+b)(x)=(2x-4)+(x+2)[/tex]
[tex]=2x-4+x+2[/tex]
= 3x - 2
As we can see from the above options only option A is correct i.e it only produced a quadric function
3/16 + 1/8 + 1/4 =?
Simple math let’s see who answers it right !
Answer:
9/16
Step-by-step explanation:
3/16 + 2/16 + 4/16 = 9/16
Answer:
9/16
Step-by-step explanation:
To solve this, you first need to give all the fractions a common denominator. In this case all the denominators can be mutiplied to 16, so that will be our common denominator. So now that all of the denomitors are the same,(3/16+2/16+4/16) we can start solving the problem. First, 3/16+2/16=5/16. Then do, 5/16+4/16=9/16.
Demario says that the point (1, 5) on the graph below means that one hat costs $5.00. Is Demario correct? yes or no
Answer:
I think that Demario is correct.
I think he is correct because the point is (1,5) and it says 5 in dollars.
What is the volume of the rectangular prism below/described? (Don't forget to label your answer!)

Length= 4 1/2 in. Width= 5 in. Height= 3 3/4 in.
The volume of the prism is ___.
(hint: in2 is inches squared; in3 is inches cubed)
Answer:
Step-by-step explanation:
Volume = Length times width times height.
Here,
Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.
This is equivalent to 84 3/8 cubic inches.
Answer:
[tex]84\frac{3}{8}in^3[/tex]
Step-by-step explanation:
V = L * W * H
V = 4 1/2 * 5 * 3 3/4
V = 9/2 * 5/1 * 15/4
V = 675/8
V = 84 3/8
You have an option between two cell phone plans. One costs $29 per month and charges $0.15 per text
message. The second option costs $65 and charges $0.05 per text message. How many messages would
have to send so the costs equal each other?
36
60
ant
360
3,600
Which graph represents a phase shift of pi/2 units right for the graph of
y = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x
Answer:
B. y = sin x
Step-by-step explanation: