The angle of elevation of the fly's flight path is approximately 57.74 degrees.
What is hypotenuse?In a right triangle, the hypotenuse is the side opposite the right angle. It is always the longest side of the triangle and is the side opposite to the 90 degrees angle. It is also the side that forms the "hypotenuse" of the right triangle.
What is Pythagorean theorem?The Pythagorean theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as c^2 = a^2 + b^2, where a and b are the legs of the triangle and c is the hypotenuse. This theorem can be used to find the length of the hypotenuse of a right triangle when the lengths of the other two sides are known.
Let's call the angle we're trying to find "theta". The horizontal distance is 30 feet, the vertical distance is 32 feet and the height is 9 feet.
Using pythagorean theorem:
$c^2 = a^2 + b^2$
$c = \sqrt{30^2 + 32^2}$ = $\sqrt{900 + 1024}$ = $\sqrt{1924}$
Now we can use the tangent function:
$\tan(\theta) = \frac{opposite}{adjacent} = \frac{32}{30}$
Now we can find the angle, theta, by using the inverse tangent function:
$\theta = \tan^{-1}(\frac{32}{30})$
The angle of elevation of the fly's flight path is approximately 57.74 degrees.
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Please answer 1, 2, and 3. WILL GIVE BRAINLIEST.
WORTH 18 POINTS
Answer:
8
-5
12
Step-by-step explanation:
9514 1404 393
Answer:
7 -1 2/3 4Step-by-step explanation:
The average rate of change of a function f(x) on interval [a, b] is the slope of the line through points (a, f(a)) and (b, f(b)). The slope formula tells you that is ...
m = (f(b) -f(a))/(b -a)
1) The rate of change in the interval [1, 2] is ...
rate of change = (2³ -1³)/(2 -1) = (8 -1)/1 = 7
__
2) rate of change = ((√4 -8) -(√1 -2))/(4 -1) = (-6-(-1))/3 = -5/3
__
3) rate of change = (11 -(-1))/(5 -2) = 4
True or False? Pythagoras
theorem involves the formula a2 +
b² = c²
Answer:
true
Step-by-step explanation:
Trenton's laptop ls 27 centimeters wide. What is the width of the laptop in decimeters? Round your answer to the nearest hundredth.
Answer:
2.70 decimeters
Step-by-step explanation:
1 cm = 0.1 decimeter
27 * 0.1 = 2.7
Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection
Answer:
40 + 5 = 45
45 ÷ 9 = 5
Therefore, he will have 5 boxes of rocks.
Illustrate the effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream
The effect that a decrease in the price of milk and input to ice cream would have on the market for ice cream is that there will be more production and demand in the market.
What is Market?This is referred to as a place where buyers and sellers can meet to facilitate the exchange or transaction of goods and services.
A decrease in the price of milk and input to ice cream means that production costs would fall, which will cause the suppliers to produce more thereby shifting the supply curve to the right with the demand for the goods being increased which is therefore the effect on the market.
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please help!!! HURRY!!
please help!!! HURRY!!
Rewrite the limit as a definite integral for number 13
The notation of the limit as a definite integral is given as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}} = \int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
How to write the limit as an integral?The limit for this problem is defined as follows:
[tex]\lim_{n \rightarrow \infty} \sum_{k = 1}^{n} \sqrt{k} \times n^{-\frac{3}{2}}[/tex]
This is a limit of a Riemann sum, hence it can be written as a definite integral according to the rule presented as follows:
[tex]\int_a^b f(x) dx = \lim_{n \rightarrow \infty} \sum_{i = 1}^{n} f(a + \Delta_x i) \Delta_x[/tex]
As the second term is only a factor of n, the Delta is given as follows:
[tex]\Delta_x = n^{-\frac{3}{2}}[/tex]
As the a term does not appear in the function, the value of the coefficient a is given as follows:
a = 0.
The parent function dependent on k is given as follows:
[tex]f(x) = \sqrt{x}[/tex]
The parameter b is obtained as follows:
[tex]\Delta_x = \frac{b - a}{n}[/tex]
[tex]n^{-\frac{3}{2}} = \frac{b}{n}[/tex]
[tex]b = n^{-\frac{1}{2}}[/tex]
(the parameter n is not given).
Hence the definite integral is obtained as follows:
[tex]\int_0^{n^{-\frac{1}{2}}} \sqrt{x} dx[/tex]
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Describe fully the single transformation that maps triangle A onto shape B
Answer:
Reflection over y=x
Step-by-step explanation:
Please help will mark Brainly
Answer:
Step-by-step explanation:
the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.
Please help no links!! Look at picture^^
Answer:
12,983.04
Step-by-step explanation:
[tex]1)\ A_1 = R^2 * Pi = (\frac{56}{2})^2 * 3.14 = 28^2 * 3.14 = 784 * 3.14 = 2,461.76\\[/tex]
[tex]2)\ 2,461.76 * 4 = 9,847.04\ (There\ are\ four\ semi\ circles)[/tex]
[tex]3)\ A_2 = 56^2 = 3,136[/tex]
[tex]4)\ A = A_1 + A_2 = 3136 + 9,847.04 = 12,983.04[/tex]
Ms. Lopez goal is to run 25 miles this week.
She runs 3 miles on Tuesday and 4 miles on Wednesday.
What percent of her goal has she accomplished?
Answer: 28%
Step-by-step explanation: First, we need to find how much she runs in total on Tuesday and Wednesday. So, we add 3 + 4 to get 7. With that, we need to determine how much 7 is from 25. So, it'd look like this:
7 * 100 / 25
700 / 25
=28
Therefore, she's done 28% of her goal (within the 2 days) I hope this helped!
Answer:
I think the other person who answered the question is right
Step-by-step explanation:
(Linear Relationships LC)
Which of the following tables represents a linear relationship that is also proportional?
x y
0 3
3 6
6 9
x y
0 4
2 6
4 8
x y
0 0
6 3
12 6
x y
0 3
5 5
10 7
PLEASE I NEED HELP ASAP
All the table show the linear relationship, but none of the table show the proportional relationship.
What is proportional relationship?A proportional relationship is a relationship between two expressions and where changes in one expression means some constant change in the other expression as well. Generally, it is represented as x/y = k, where x and y are two expressions and k is constant.
Given:
A). x → y
0 → 3
3 → 6
6 → 9
To show the linear relationship:
We have to find the constant first difference.
That means,
6-3 = 3
And 9 - 6 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
3/6 = 1/2,
6/9 = 2/3.
The values of this table do not show the proportional relationship.
B). x → y
0 → 4
2 → 6
4 → 8
To show the linear relationship:
We have to find the constant first difference.
That means,
6-4 = 2
And 8 - 6 = 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/4 = 4,
2/6 = 1/3,
4/8 = 1/2.
The values of this table do not show the proportional relationship.
C). x → y
0 → 0
6 → 3
12 → 6
To show the linear relationship:
We have to find the constant first difference.
That means,
3-0 = 3
And 6 - 3 = 3
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/0 = undefined,
6/3 = 2,
12/6 = 2.
The values of this table do not show the proportional relationship.
D). x → y
0 → 3
5 → 5
10 → 7
To show the linear relationship:
We have to find the constant first difference.
That means,
5 - 3 = 2
And 7 - 5= 2
The values of this table show the linear relationship.
To show the proportional relationship:
Let x/y = k (k is constant)
We have to find the k:
0/3 = 0,
5/5 = 1,
10/7 = 10/7.
The values of this table do not show the proportional relationship.
Therefore, none of the table show the proportional relationship.
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A committee must be formed with 2 teachers and 3 students. If there are 10 teachers to choose from, and 13 students, how many different ways could the committee be made?
Answer:
12870 ways
Step-by-step explanation:
10c2*13c3
10!/(10-2)!2! *13!/(13-3)!3!
[(10*9*8!)/8!*2*1] *[(13*12*11*10!)/10!*3*2*1]
45*286
12870 ways
Please answer this question asap will be marked brainliest
Answer: 9.85 inches
Step-by-step explanation:
Each point on the graph represents the total rainfall in one month in this desert. For instance, the 2 points on top of 1.0 inches indicates that there were two months in the year where rainfall was 1.0 inches.
The total rainfall in this desert was therefore:
= 0.4 + 0.5 + 0.5+ 0.6 + 0.85 + 0.85 + 0.95 + 1.0 + 1.0 + 1.05 + 1.05 + 1.1
= 9.85 inches
Plz help me well mark brainliest if correct...??
Answer:
I'm pretty sure the answer is A
Answer:
Answer is A
Step-by-step explanation:
B- The area is LxW meaning it is 3x9= 27 sq cm
C- Area LxW meaning 4x8= 32.
A- I only see 6 but this would mean that the width is 7. 7x6= 42 sq cm.
There you go: Formula is : LxW or multiplying the two numbers.< Hope it helps!
The width of Hudson's science fair poster needs to be more than 2.5 feet wide. Which of the following shows what the width could be? Select TWO that apply
A 40 inches
B 35 inches
C 25 inches
D 20 inches
Answer:
a c
Step-by-step explanation:
factorise 10(x-2y)-5p(x-2y)
Answer:1 0 (
Decide whether the relation is a function *
1) {(-5, -2), (-1, 1), (3, -6), (8, 1)
Answer:
Step-by-step explanation:
Identify the input values. Identify the output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Simplify each expression (I don't know this) please help me out
Answer: solve the same variables
Step-by-step explanation:
1. 3y + 4.1
2. 4x +
3. 5x + 22½
4. 4y²
5. + 25
6. 0
round 20/3 to the nearest hundredth of a foot
The fraction 20/3 rounded to the nearest hundredth is 6.67.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, A fraction 20/3, First we'll convert this fraction into a decimal.
So, 20/3 is equal to 6.666666....
Therefore, 20/3 to the nearest hundredth of a foot is equal to 6.67.
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PLS HELP 10 POINTS ASAP RN PLSSSSS OR I WILL FAIL CLASS
Simplify - 4 of u-2
Answer:
it's 30
Step-by-step explanation:
30+4_2= dakukabilat
I’m getting 9.8 not sure what I’m doing wrong
Answer: 10
Step-by-step explanation:
it says round to nearest 10 your answer was 9.8 so round to 10.
hope this helps :)
Johnny combined 7/4 cups of pancake mix and 3/4 of a cup of water to
make pancake batter. If he uses 1/4 of a cup of batter to make each
pancake, how many pancakes can Johnny make from his batter?
Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
x^2 + y^2 - 8x + 2y + 13 = 0
Answer:
Step-by-step explanation:
x²-8x+16+y²+2y+1=16+1-13
(x-4)²+(y+1)²=2²
general form of a circle's equation is
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r= radius
By comparing with A,
(4,-1) is center and radius= 2.
The center of the circle is (-4,2) and the radius is 2
How to determine the center and the radius?The equation is given as:
x^2 + y^2 - 8x + 2y + 13 = 0
Rewrite as:
x^2 - 8x + y^2 + 2y + 13 = 0
Subtract 12 from both sides
x^2 - 8x + y^2 + 2y = -13
Group each variable
[x^2 - 8x] + [y^2 + 2y] = -13
-------------------------------------------------------------------
Take the coefficient of x and y
-8 and 2
Divide by 2
-4 and 1
Square both numbers
16 and 1
-------------------------------------------------------------------
Next, we add 16 and 1 to both sides of the equation
[x^2 - 8x + 16] + [y^2 + 2y + 1] = -13 + 16 + 1
Express as perfect squares and evaluate the sum
(x - 4)^2 + (y + 1)^2 = 4
Express 4 as 2^2
(x - 4)^2 + (y + 1)^2 = 2^2
A circle is represented as:
(x - a)^2 + (y - b)^2 = r^2
Where:
Center = (a,b)
Radius = r
This means that the center of the circle is (-4,2) and the radius is 2
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. If
the perimeter of a rectangle is 36m, and length and breath is (x+1m) and (x+5)m respectively, find its area.
Answer:
77
Step-by-step explanation:
solution
Perimeter of a rectangle (P) = 36 m
length (l) = (x+1) m
breadth (b) = (x+5) m
Area (A)= ?
We know that ;
P = 2(l+b)
or,36 = 2(x+1+x+5)
or,36 = 2 (2x+6)
or, 18 = 2x+6
or,18 - 6 = 2x
or, 12 = 2x
x = 6
length (l) = (x+1) = 6+1 = 7 m
breadth (b) = (x+5) = 6+5 = 11 m
Now;
Area (A) = l × b
= 7 × 11
= 77 square m
Answer:
77 m^2.
Step-by-step explanation:
Perimeter = 2 * (length + breadth)
36 = 2(x + 1 + x + 5)
36 = 2(2x + 6)
36 = 4x + 12
4x = 24
x = 6
So breadth = 6 +1 = 7 and
length = 6 + 5 = 11 m.
Area = length * breadth = 7 * 11
= 77 m^2
Help
The circle graph shows the percent of time different people took turns driving during a 20-hour road trip.
How many hours did Dan drive?
==========================================================
Explanation:
Add up the percentage values:
25+20+6+6+6 = 63
This means 63% of the trip was driven by anyone but Dan. That must mean 100-63 = 37% of the trip is how much Dan drove.
Apply this percentage to the 20 hour duration
37% of 20 = 0.37*20 = 7.4 hours represents how long Dan drove.
extra notes:
7.4 hours = 7 hours, 24 minutes because 0.4 hours = 0.4*60 = 24 minutes7.4 hours = 7 hrs + 24 min = 7*60+24 = 444 minutesSolve: -6n + 5 < 11
Which graph shows the solutions?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer:
graph should show an open circle on -2 with shading to the right
Step-by-step explanation:
-6n + 5 < 11
-6n < 6
n > -1
solutions consist of all number greater than -1
Is a function that can be graphed discrete or continuous?
Answer:
Discrete
Step-by-step explanation:
Discrete means it has ends, and continuous means it continues on forever.
Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin