NO LINKS!! A blimp, suspended in the air of 500 feet, lies directly over a line from Soldier Field to the Adler Planetarium on Lake Michigan (see the figure). If the angle of depression from the blimp to the stadium is 32° and from the blimp to the Planetarium is 23°, find the distance between Soldier Field and the Adler Planetarium.
Answers
Answer:
1978 ft (nearest foot)
Step-by-step explanation:
Using the Alternate Interior Angles theorem, we can deduce that the left base angle of the triangle is 32° and the right base angle of the triangle is 23°.
The triangle can be divided into 2 right triangles, both with height of 500ft (see attached diagram).
Using the tan trig ratio, we can calculate the base of each triangle.
[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]
where:
[tex]\theta[/tex] = angleO = side opposite the angleA = side adjacent the angleLeft triangle
let [tex]x[/tex] = the base length
[tex]\implies \tan(32)=\dfrac{500}{x}[/tex]
[tex]\implies x=\dfrac{500}{\tan(32)}[/tex]
Right triangle
let [tex]y[/tex] = the base length
[tex]\implies \tan(23)=\dfrac{500}{y}[/tex]
[tex]\implies y=\dfrac{500}{\tan(23)}[/tex]
To find the distance between the Soldier Field and Adler Planetarium, simply sum [tex]x[/tex] and [tex]y[/tex]:
[tex]\implies \dfrac{500}{\tan(32)}+\dfrac{500}{\tan(23)}=1978.093447...[/tex]
Therefore, the distance is 1978 ft (nearest foot)
Related Questions
Select the correct answer.
What is the measure of the indicated central angle ?
A.
60°
B.
None of the above
C.
20°
D.
80°
E.
40°
Answers
Answer: E
Step-by-step explanation:
3. The triangular prisms shown below are
similar. What are the values of x and y?
20 cm
4 cm
8 cm
Can some help please fast
Answers
Answer:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
If you want help, could you take a pic of the prisms. I'd be happy to help then!
Step-by-step explanation:
6. One game system costs $238. How much will 4 game systems cost?
Answers
Answer:
Solution,
1 game cost $238
4 game cost = $238×4
= $952
I think it will help you.
Answer:
$952
Step-by-step explanation:
238×4
952
therefore 4 game system will cost $952.
Emma and Daniel both had fevers and were found to
both have a temperature of 101 degrees F. What was
their combined temperature?
Answers
Step-by-step explanation:
Danielle rented a canoe for 4 hours while on vacation. She paid a fixed hourly rate and a $55 damage deposit. The resulting cost was $123. What was the hourly cost to rent the canoe?
Answers
Answer:
The hourly cost is 17 dollars.
Step-by-step explanation:
1. Subtract the damage deposit from the total cost to get 68.
2. Divide 4 from 68 to get 17. Which is the hourly cost.
here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct
Answers
Answer:
Answer:
11+ 9 = 20
Step-by-step explanation:
=> 21-9=11
21 - 9 equals to 11 is actually a wrong answer
So in order to find the subtraction problem that will help us truly know whether the equation is wrong
=> 11+ 9 = 20
OR THE SECOND EQUATION IS
=> 21 - 11 = 10
F(3) F(x)=(1/5)^x 2.2.3
Answers
Answer:
f(3)f(x)=( (1/5)^x)^2.2
Write the equation of the line that passes through the points (7, –4) and (–1, 3), first in point-slope form, and then in slope-intercept for
Answers
Answer:
8y + 7x - 17 = 0
Step-by-step explanation:
You'll use;
y2 - y1/ x2- x1 = y - y1/x- x1
Find the distance between the two points in simplest radical form.
(-5,0) and (-9,9)
Answers
Answer:
√97 units
Step-by-step explanation:
the distance between the two points in (-5,0) and (-9,9) is √97 units.
Answer:
√97
Step-by-step explanation:
The formula is: d=√(x²-x¹)²+(y²-y¹)²
√(-9 - -5)^2 + (9 - 0)^2
√(-4)2 + (9)2
√97
It cannot be simplified any further.
5)
Solve the following quadratic inequality, express the solution set as an interval, and graph
the solution set :x(x-7)+4> -8
Solution:
Answers
Answer:
x < 3 or x > 4
Step-by-step explanation:
Hope it helps!!!!!!Brainliest pls!!!!!Angie's neighbor sells T-shirts. T-shirts usually cost $20.00. This week,
each shirt is on sale for 20% off, plus 13% tax.
Calculate the sale price of one T-shirt with tax.
Answers
Answer:
$18.08
Step-by-step explanation:
20% off = 20 x 0.8 = 16
plus tax = 16 x 1.13 = 18.08
Answer:
$18.08
Step-by-step explanation:
20% of $20.00 = 0.2 x 20 = $4
Therefore, the sale price of the t-shirt with 20% off = 20 - 4 = $16
If a sales tax of 13% is then applied, final sale price = 16 x 1.13 = $18.08
Brainliest if correct
Answers
Answer:
12 divided by 3 is 4
so multiply 1 by 4 and you get... 4
so now its 1/12+4/12 and that comes out to 5/12
Step-by-step explanation:
hope this helps :D
Need help with this
Answers
Answer:
It's a polynomial because...
it has a power degree, in this case, 4
it has real numbers
doesn't have negative exponents
doesn't have 'x' in the denominator ex, ( 3/x )
doesn't have a square root of ex. √x, √5
I hope this helped some!
Joe bought shin guards for $15.35 and socks for $5.89. What is his total cost?
Answers
Answer:
$24.24 is his total cost
Step-by-step explanation:
15.35
+ 5.89
---------------
24.24
Type the correct answer in each box.
Complete the statement, and find the value of xin the diagram.
The quadrilateral shown is a
X=
Answers
Answer:
Kite[tex]x=3[/tex]I hope this helps you
:)
The vertex is (4,-4) and the other given point is (3,-2)
Find the quadratic equation
Answers
as if you are asking in terms of graph:-(4,-4) lies in quadrant 4th and (3,-2) lies in quadrant 4th only
Which shows an equation in point-slope form of the line shown?
y−2=34(x+6)
y−4=43(x−2)
y−4=34(x−2)
y+2=43(x+6)
Answers
An equation in point-slope form of the line shown is: C. y - 4 = 3/4(x - 2)
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would determine the slope of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (-2 - 4)/(-6 - 2)
Slope (m) = 6/8
Slope (m) = 3/4
At data point (2, 4) and a slope of 3/4, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 4 = 3/4(x - 2)
y - 4 = 3x/4 - 3/2
y = 3x/4 - 3/2 + 4
y = 3x/4 + 5/2
Read more on point-slope here: brainly.com/question/24907633
#SPJ1
please help me with this , it would mean alot
Answers
Answer:
Step-by-step explanation:
21-26. a = v - u / t
=> a = 47 - 19 / 5
=> a = 28 / 5
=> a = 5.6 m/s²
27-32. avg. speed = distance / time
=> 40 m / 10 s
=> 4 m/s
33-38. velocity = distance / time
=> v = 150 / 40
=> v = 15 / 4
=> v = 3.75 m/s
What is the height of the trapezoid?
Answers
Answer:
don't know just wanted my points you stole
Step-by-step explanation:
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
Answers
Answer:
75%
Step-by-step explanation:
You do 18/24. This gives you 0.75 or 75%
Fiona is planning on moving to Oregon for a new job. She calls a couple rental agencies to find out how much it will cost to rent a truck.
When she called the rental agency A New Beginning, they quoted her that renting truck will cost $40.00 plus $0.15 per mile. Write an equation that gives the cost C of driving the trucky miles. C = 40 + 0.15x b. When she called the rental agency To Infinity and Beyond they quoted her that renting a truck will cost $30.00 plus $0.35 per mile. Write an equation that gives the cost of driving the truck.x miles. C=30+0.35x, c. Graph both equations on the same graph., d. What is the point of intersection? Be sure to show work for finding the point of intersection and lobel it on the graph. e. Interpret the point of intersection. Tell us what it means in a complete sentence.
Answers
Answer:
The intersection is at (50,47.50). At 50 miles the cost will be the same. After 50 miles the cost will continue to increase at a greater rate when using To Infinity and Beyond.
Which of the following represents an exponential function? Select all that apply
Answers
Answer:
Option B and C are correct.
Step-by-step explanation:
The two graphs in the second picture are the graphs of exponential functions. You can detect it from the L shaped graphs.
The very first graph represents a linear function. A straight line always represents a linear function. In a Linear function, the change in the values of y is constant throughout in relative to change in x values.
The final graph represents a quadratic function rising on both ends.
Answer:
2 and 3 by my knowledge
Step-by-step explanation:
La II - Evaluating and Graphing Polynomial Functions
-
Notes
eas/Questions
Notes/Examples
EROS
• The point(s) at which the function intersect the
• A polynomial function of degreen can have at most
real zeros
• An even degee polynomial has an
number of zeros (or no zeros).
• An odd degree polynomial has an
number of zeros (or no zeros).
IFY BY
Answers
Answer:
need ko points po please pa answer ng paanswer ngxquestion koooooo
Type the correct answer in the box
The value of the expression 23+32-3x4-52 divided by 5+(7x4) is
Answers
Answer:
50.2
Step-by-step explanation:
First we would do parenthesis and then exponents which they aren't
7 x 4=28
then we would do 3 x 4=12
52 divided by 5=10.4
23 + 32=55 - our 3 x 4
55 - 12=43
so 43 - 10.4=32.6-52 divided by 5
32.6 - 10.4 =22.2
And our last step what is 22.2 + 28=50.2
Hope this helps have a great day:)
What is the fifth term of the arithmetic sequence? –3, –1, 1, 3,...
Answers
Answer:
5
Step-by-step explanation:
+2
does 2^5 =5^2 ? Use the drop-down menus to explain
Answers
Answer:
No. This is not true.
2x2x2x2x2 = 32
5x5 = 25
Therefore,
2^5 does NOT equal 5^2.
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\mathbf{Does\ 2^5 = 5^2?\ Use \ the\ drop-down\ menus\ to \ explain}[/tex]
[tex]\huge\textbf{Breaking down the first equation:}[/tex]
[tex]\mathbf{2^5}\\\\\mathbf{= 2\times 2 \times 2 \times 2 \times 2}\\\\\mathbf{= 4 \times 4 \times 2}\\\\\mathbf{= 16 \times 2}\\\\\mathbf{= 32}[/tex]
[tex]\huge\textbf{So, the first choice \boxed{answer} is:}[/tex]
[tex]\huge\boxed{\mathsf{2\times2\times2\times2\times2}}\huge\checkmark[/tex]
[tex]\huge\textbf{Answering number 2:}[/tex]
[tex]\mathbf{Since, your\ 2\ expressed\ 5\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 2}}\huge\checkmark[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\textbf{Breaking down the second equation: }[/tex]
[tex]\mathbf{5^2}\\\\\mathbf{= 5\times5}\\\\\mathbf{= 25}[/tex]
[tex]\huge\textbf{So, the third choice \boxed{answer} is:}[/tex]
[tex]\huge\boxed{\mathsf{5\times5}}\huge\checkmark[/tex]
[tex]\huge\textbf{Answering number 4:}[/tex]
[tex]\mathbf{Since, your\ 5\ expressed\ 2\ times, so\ your\ answer\ should\ be: }\\\\\\\huge\boxed{\textsf{Only factor is 5}}\huge\checkmark[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\mathbf{2^5 \neq 5^2}\\\\\\\mathbf{32 \neq 25}[/tex]
[tex]\large\text{Since }\rm{2^5}\large\text{ and }\rm{5^2}\large\text{ have }\large\boxed{\textbf{ no common factors }},\large\text{ they \boxed{\textbf{ are not }}}\large\text{ equal.}[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
(-1, 2) is a solution to the following system:
equation image indicator
True
False
Answers
Use the constant term and leading coefficient to list all the potential roots of the expression
524 +223 + 32² - 7
Answers
Step-by-step explanation:
ok first you do that 524+223+322_7 1060 that's the problem ok
Solve for x. Please look at the picture and answer it. Thank you
Answers
ANSWER x=8
Find the missing side length
Answers
Answer:
The missing side length is 36
Step-by-step explanation:
You need to find the ratio of the dilation so if you take corresponding sides, for example, 72 and divide by 8 you get 9. So, if you multiply each side of the triangle XYZ by 9, it should get the length of the sides on triangle ABC.
4 * 9 = 36
Hope this helps! :)
Answer:
36
Step-by-step explanation:
72 is 9 times 8
63 is 9 times 7
36 is 9 times 4
another way
63/7 = x/4
7x = 252
x =36