please help. no body ever helps right away. i’ll mark brainlist and give thanks. geometry btw
Answers
9514 1404 393
Answer:
437.3 ft
Step-by-step explanation:
The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.
The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...
Cos = Adjacent/Hypotenuse
cos(29°) = x/(500 ft)
Multiplying by 500 ft gives ...
x = (500 ft)cos(29°)
x ≈ 437.3 ft
_____
Additional comment
You have posted a number of problems that make use of this geometry. They are all solved the same way:
a) identify the desired measure and the given measures
b) using SOH CAH TOA, identify the relation applicable to those measures
c) fill in the given values in the equation
d) solve for the unknown
You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.
Related Questions
What is the perimeter of this shape
Answers
9514 1404 393
Answer:
72.6 cm
Step-by-step explanation:
It is the perimeter of the overall rectangle plus twice the depth of the notch.*
P = 2(L+W) +2d
P = 2(16 cm + 13 cm + 7.3 cm) = 2(36.3 cm)
P = 72.6 cm
The perimeter of the shape is 72.6 cm.
_____
* You may be able to visualize this if you imagine the bottom (top) of the notch translated out (down) to the edge of the rectangle. That translation does not affect the length of the line segment, but helps convince you that only the two legs of the notch are added to the perimeter of the rectangle.
The price of a computer is reduced by 17.5%. The reduced price is £264 by how much is the price reduced
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Answer:
Step-by-step explanation:
100%-17.5%= 82.5%
82.5% (divide) 82.5%= 1%
so (1% of the orginal price)=
£264 (divide) 82.5%= £320= original price
The price of the computer is reduced by £56 which is 17.5% of £320.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, The price of a computer is reduced by 17.5% and the reduced price is £264.
Let the original price be '£x'.
So, (100 - 17.5)% = 82.5% of '£x' is £264.
∴ (82.5/100)×x = 264.
0.825x = 264.
x = 264/0.825.
x = £320.
So, The price reduced is (320 - 264) = £56.
learn more about percentages here :
https://brainly.com/question/24159063
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The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $460 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $7 per day for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. (a) Find a function R giving the revenue per day realized from the charter. R(x)
Answers
Answer:
R(x) = (460 * 7x)*(20+ x)
Step-by-step explanation:
If exactly 20 people sign up :
Charge per person = $460
For passengers after 20:
At number of passengers = 20 ;
Cost = (fee * discount * number of additional passesengers) * (20 + Number of additional passengers
Let number of additional passengers after 20 = x
R(x) = ($460 * $7x) * (20 + x)
Hence,
R(x) = (460 * 7x)*(20+ x)
(3x^2-8+3X)-(10+2x^2-2X)
Answers
Answer: x^2+5x-18
Step-by-step explanation:
the bases of a trapezoid are 8 and 6 inches it's height is 5 inches what is the area of the trapezoid?
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Answer:
35 in^2
Step-by-step explanation:
The area of a trapezoid is the average of the bases times the height.
Base 1: 8, Base 2: 6, Height: 5
(8 + 6)/2 = 7
7 * 5 = 35 in^2
Ally picked 25 roses. She gave away 10 roses. What percent of the roses does Ally still have?
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Answer:
25%
Step-by-step explanation:
Explain your answer !!
Have a great day
Will give brainlst
Answers
The local appliance store is advertising a 17% off sale on a new flat-scree TV. If the sale price is $664, what was the original price of the flat-screen TV?
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Answer:
the original price = $800
Step-by-step explanation:
To find the fraction of the original price, subtract 0.17 from 1.00, obtaining 0.83. Then 0.83n = $664 yields n = the original price = $800
For t=2, 13t-2t is equal to 22 and 2t - 13t is equal to ??
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Answer:
[tex]2(2) - 13(2) \\ 4 - 26 \\ = - 22[/tex]
Write the equation of the line in slope-intercept form that has a slope of -5/2 and passes through the point (14,-39)
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Answer:
Step-by-step explanation:
The equation of the line in point-slope form;
y+39 = (-5/2)(x-14)
Rearrange to solve for y:
y+39 = (-5/2)x + 35
y = (-5/2)x + 4
find the area of a triangle with a base and height of 1/3 and 1/4
Answers
Answer: 1/12
Step-by-step explanation:
Multiply 1/3 by 1/4. Or just multiply 3 by 4.
3 x 4 = 12
Therefore, the answer is 1/12.
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored. How many of the cupcakes sold that day were chocolate flavored?
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Answer:
66 are chocolate. 120x1.45 66
The number of cupcakes sold that day was chocolate flavored will be 54.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.
A bakery sold a total of 120 cupcakes in a day, and 45% of them were chocolate flavored.
Then the number of cupcakes sold that day were chocolate flavored will be
Let x be the number of the cupcakes sold that day that was chocolate flavored.
x = 45% of 120
x = 0.45 × 120
x = 54
Thus, the number of cupcakes sold that day was chocolate flavored will be 54.
More about the percentage link is given below.
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A quadratic function is described by the equation f(x) = (x - 3) ^ 2 Which statement about the graph of the function is true?
A The only zero of the function is 3 which is where the graph of the function intersects the x-axis
В. The only zero of the function is 3 which is where the graph of the function intersects the y-axis.
C.The only zero of the function is , which is where the graph of the function intersects the x-axis.
D.The only zero of the function is is where the graph of the function intersects the y-axis .
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Answer: A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Step-by-step explanation:
Remember, a quadratic function which has roots x = a, and x = b, can be written as:
p(x) = A*(x - a)*(x - b)
Where A is the leading coefficient. This is the factorized form of a quadratic.
We have the function:
f(x) = (x - 3)^2
Now, we could rewrite this as:
f(x) = (x - 3)*(x - 3) = 1*(x - 3)*(x - 3)
Then we wrote f(x) in its factorized form, from this, we can see that the roots of the function are x = 3, and x = 3 (we have the same root two times)
Then the only root of f(x) is x = 3.
Remember that a root (also called a zero) is the value of x where the function intersects the x-axis. then the correct option here is:
A) The only zero of the function is 3 which is where the graph of the function intersects the x-axis
Which of the following points below represents (- 2, - (5pi)/4) the polar grid?
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Answer:
Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:
r = √(x^2 + y^2)
θ = Atg(Iy/xI) + 90°*(n - 1)
where n is number of the quadrant where our point is.
For example, if we are on the second quadrant, we use n = 2.
Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:
x = r*cos(θ)
y = r*sin(θ)
Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:
x = -2
y = -(5*pi)/4
Using the first relation, we can find that:
r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4
(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)
θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°
Then the point that represents (- 2, - (5pi)/4) in polar coordinates is the point:
(4.4, 262.7°)
If instead of degrees, the angle part is written in radians, we have:
180° = 3.14 radians.
262.7° = x radians.
then:
x/3.14 = (262.7)/180
x = 3.14*(262.7)/180 = 4.58 radians.
then the point will be:
(4.4, 4.58 radians)
CAn you help witht this fast!
Answers
Answer: 150% sugar
Step-by-step explanation: Make a proportion.
if 8 equals 40 grams how much is 64 grams
Answers
Answer:
320 grams
Step-by-step explanation:
First you find out how much 1 bat ate
40 divided by 8 = 5
So each bat ate 5 insects
Multiply 5 by the 64 bats
64 * 5 = 320
· y = 3x - 7
Find the slope
Answers
Answer:
3
Step-by-step explanation:
the slope of an equation (y=mx+b) is always "m", or the coefficient right infront of x. in this case, y=3x-7, 3=m, -7=b. m is the slope, so the slope is 3.
Ivan is making brownies from a boxed mix. He wants to combine 2 boxes. 1 box calls for ½ of a cup of water. The other calls for ⅓ of a cup of water. How much water will Ivan need to make brownies from both boxes?
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Answer:1/56
Step-by-step explanation:
Solve the equation
t−3.7=1.2
Answers
Answer:
t=4.9
Step-by-step explanation:
Answer:
t=4.9
Step-by-step explanation:
t-3.7=1.2
t-3.7+3.7=1.2+3.7
t=4.9
PLS HELP!! FIND X AND Y
Answers
Answer:
x=110
y=70
Step-by-step explanation:
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What is the equation of the line in slope-intercept form 
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Answer:
y=3/5x+3
3 is where the line goes through the y-axis
3/5 is the slope (rise/run)
Step-by-step explanation:
choose the points that lies in the line and do the above process.
2x−y=5 If x=4, then y=
Answers
Answer:
Y = 3
Step-by-step explanation:
2(4) = 8
Subtract 8 on both sides
-y = -3
Y=3
What are your plans for the future?Which profession would you like to pursue and why?
Answers
Answer:
I plan to finish my degree first and pursue my dreams of becoming a pilot, because that thing will help me and my family aside from that it's like I'm free to do whatever I want.
t-shirts for $2 and shorts for $4. the total sales were $600. they sold four times more tshirts than shorts how many tshirts and shorts did they sell?
Answers
Answer:
T-shirts: 200
Shorts: 50
Step-by-step explanation:
To solve, set up an equation using two variables to represent the number of t-shirts and shorts sold. Let x = t-shirts sold. Let y = shorts sold. 2x + 4y = 600. We know that x will be 4 times greater than y, so we can plug in some guesses that seem reasonable and use the equation to test our theories. My first guess was 50 shorts, which by luck was the correct answer. These problems can be tricky, but setting up an equation can prove to be a great help.
2. Select all of the numbers that Courtney could multiply by 72,033 to get a product LESS than 72,033 (2 Points)
A. 1 and 3/4
B.718
C.2
D. 1/6
E. 12/8
Answers
Answer:
Step-by-step explanation:
It's not A since that means 1 3/4 or 7/4. That isn't a possible answer since 7/4 is greater than 1.
B: not the answer. You'll make 72000 almost 1000 times bigger if you use B.
C: same reason as B. Anything over 1 will make 72033 larger, not smaller
E: 12/8 > 1. It can't work.
The answer is d . Try it on your calculator. Anything between 0 and 1 make make any number smaller. (include zero, don't include 1).
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answers
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
Determine the domain of the following graph:
Answers
Or [-8,3)
anyone know this ......
Answers
Answer:
4/1
or its 1/4
Step-by-step explanation:
it is a positive slope because it changes from the left going up to the right, therefore making any options with a fraction incorrect.
A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.
Answers
Step-by-step explanation:
Let l be the length and w be the width of the frame.
We have 2(l + w) = 94 and l = 2w - 7.
Therefore 2[(2w - 7) + w] = 94.
=> 3w - 7 = 47
=> 3w = 54
=> w = 18
l = 2(18) - 7 = 36 - 7 = 29
Hence the length of the frame is 29in and the width of the frame is 18in.
There is an unknown number of people at the beginning of lunch. Then...
Each student had 3 friends come sit with them, tripling the amount.
Then the entire group divided into 4 groups, and all but one group left and went outside, so only 1 fourthof the total students were left in the lunchroom
7 more people came into the lunchroom
The total number of people in the lunchroom at the end of lunch was 16
Answers
Answer:
5.25
Step-by-step explanation:
