Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
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Can you help me here pls thx very much What is 52% of 25
Answer:
13
Step-by-step explanation:
What types of numbers are Irrational numbers? A)Whole Numbers (positive and negative) B)Repeating Decimals C)Decimals that Terminate D)Decimals that never end
Answer:
Whole numbers, repeating decimals, and decimals that never end
Step-by-step explanation:
10.In an experiment , the approximate population P of a bacteria colony is given by P = 15t ^ (5/3) , where t is the number of days start of the experiment . Find the population of the colony on the 8th day .
Answer:
Step-by-step explanation:
15×8^(5/3) = 15×∛8^5 = 15×2^5 = 15×32 = 480
Population after 8 days is 480
Population after 8 days is 480.
What is exponential function?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex numbers or generalized to other mathematical objects like matrices or Lie algebras.
here, we have,
given that,
the approximate population P of a bacteria colony is given by
P = 15t ^ (5/3)
where t is the number of days start of the experiment .
now,
the population of the colony on the 8th day is,
15×8^(5/3)
= 15×∛8^5 ]
= 15×2^5
= 15×32
= 480
hence, Population after 8 days is 480.
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a. A 5in radius ball is in a
box such that all six sides of
the box are touching the ball.
What percent of the space in
the box is being taken up by
the ball?
Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.
[tex] V_{ball} = \frac{4}{3} \pi r^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14(5)^3 [/tex]
[tex] V_{ball} = \frac{4}{3} \times 3.14\times 125 [/tex]
[tex] V_{ball} = \frac{1,570}{3}\: In^3 [/tex]
[tex] V_{box} =l^3 [/tex]
[tex] V_{box} =(10)^3 [/tex]
[tex] V_{box} =1000\: In^3 [/tex]
Percentage of the space in the box occupied by the ball
[tex] = \frac{V_{ball}}{V_{box} } \times 100 [/tex]
[tex] = \frac{\frac{1,570}{3}}{1000} \times 100 [/tex]
[tex] = \frac{1570}{3000} \times 100 [/tex]
[tex] = \frac{157}{3} [/tex]
[tex] = 52.33\% [/tex]
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Area of the Net is incorrect
Step-by-step explanation:
Base Surface Area = π×12^2
= 452.38934211693 inches^2
Lateral Surface Area = π×12×√12^2 + 15^2
= 724.1762903163 inches^2
Total Surface Area = 1176.5656324332 inches^2
what is the sum of213,857?
Answer:
1079
Step-by-step explanation:
213
+857= 1070
sum means addition .
Point smtr located at (-6,13) and (8,13) on the coordinate plane want is the distance between these to points
Answer:
14 points in between
Step-by-step explanation:
just count how many spaces are in between those points on the graph
is 3/7 in lowest terms
Answer:
Yes
Step-by-step explanation:
Yes because because you can't simplify it more and it's just in fraction form decimal form the answer would be 0.42857142857143.
F(x)= 3x+4
find inverse, domain, at range of the function and it's inverse.
Answer:
12
вот правильный ответ
David needs to travel 111 kilometers. Driving at a constant rate, he expects the trip to take him 3 hours. At what constant rate does David expect to drive?
Answer:
37 i got it right on the test
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
i just got it right
round 3 2/3 to the nearest whole number
Answer:
3 2/3 can be converted into proper fraction like this
3*3+2←numerator
3 itself ← denominaor
So, we have 11/3
Nearest to 11/3 will be 4
find the value of Tan 45°
Answer:
The exact value of tan(45°) is 1
Step-by-step explanation:
I hope it's helpful!
Solve The systems of equation using any method
4×+3y=2 3x-3y=-9
Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x
F(3) + G(4) - 2H(5) =
Answer:
These are functions, you must operate accordingly
Step-by-step explanation:
is the 2 in 3x2 an exponent
if it is the answer is 81
What is the height of a right triangle if its other two sides are 30 centimeters and 10 centimeters long?
Answer:
Step-by-step explanation:
It depends on whether the 30 cm side is the hypotenuse, or one of the legs.
If the 30 cm side is the hypotenuse, then the third side is √(30^2-10^2) = √800 = 20√2 cm
If the 30 cm side is one of the legs, then the hypotenuse is √(30^2+10^2) = √1,000 = 10√10 cm
5/6+5/12
For brainliest
Answer:
5/4
Step-by-step explanation:
5/6+5/12
or, {(5×2)+5}/12
or, 15/12 = 5/4
What is the average rate of change in temperature from February to May?
Answer:
27 degrees
Step-by-step explanation:
Write the word sentences as an equation! Half of a number q is 14.
Answer:
q/2=14I hope this helped you :)
Evaluate 4x - 2y when x= -5 y= -3
Answer:
-14
Step-by-step explanation:
4x-2y x=-5 y=-3
4(-5) -2(-3)
-20+6
-14
If its correct i will appreciate brainliest
Answer:-14
Step-by-step explanation:
4x-2y x=-5 y=-3
4(-5) -2(-3)
-20+6
-14
Elizabeth picked ⅔ off a row of strawberries from her garden. How many rows will Elizabeth have picked if she does this for 4 days?
HELP ASAP PLEASE I CANT FAIL THIS OR ELSE I GOTTA DO A WHOLE LESSON :( IM ALREADY SO BEHIND!!!!
Answer:
the last one on the bottom
Step-by-step explanation:
Answer:
the second one
Step-by-step explanation:
I need help asap
I will need help finding a and b
Answer:
(a) [tex]s = 2.56[/tex]
(b) [tex]s = 1.71[/tex]
Step-by-step explanation:
Given
Tables (a) and (b)
Required
Determine the standard deviation
For (a):
[tex]\bar x = 11.5[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{5*0.1*(1-0.1) +10 * 0.5 * (1 - 0.5) + 15 *0.4*(1-0.4) }[/tex]
[tex]s = \sqrt{5*0.1*0.9 +10 * 0.5 * 0.5 + 15 *0.4*0.6 }[/tex]
[tex]s = \sqrt{6.55}[/tex]
[tex]s = 2.56[/tex]
For (b):
[tex]\bar x = 4.4[/tex] --- mean
The standard deviation is calculated as:
[tex]s = \sqrt{\sum np(1-p)}[/tex]
This gives:
[tex]s = \sqrt{1*0.2*(1-0.2) +3 * 0.3 * (1 - 0.3) + 5 *0.1*(1-0.1) + 7*0.4*(1-0.4)}[/tex]
[tex]s = \sqrt{1*0.2*0.8 +3 * 0.3 * 0.7 + 5 *0.1*0.9 + 7*0.4*0.6}[/tex]
[tex]s = \sqrt{2.92}[/tex]
[tex]s = 1.71[/tex]
Need answer fast please I will give brainliest to first person with answer
Answer: add 7, giving 9, result by 6, giving x=54
Step-by-step explanation:
use the graph of each function to estimate the indicated function values. Then confirm the estimate algebraically. Round to the nearest hundredth, if necessary
Answer:
c)
Step-by-step explanation:
çünkü öyle olmalı
Select the correct answer.
The table represents quadratic function g. Which statement is true about the function?
-5
-4
-3
-2
-1
0
- 1
0
-1
-4
-9
- 16
A.
The maximum occurs at the function's x-intercept.
B.
The minimum occurs at the function's x-intercept.
C.
The maximum occurs at the function's y-intercept.
D.
The minimum occurs at the function's y-intercept.
De acuerdo a la siguiente imagen, selecciona la opción que muestre la operación que permite llegar al número encerrado en color rojo.
Answer:
2?
Step-by-step explanation:
I think im wrong/ creo que estoy mal?!
Kalansız bir bölme işleminde bölünen ile bölenin farkı 385 bölüm 12 olduğuna göre bölünen kaçtır
Step-by-step explanation:
bence 32 Kalansız bölme işleminde ama yinede sen bilirsin iyi akşamlar
You earn 3.5% commission as a car salesperson. If your sales for the month of February amount to $42,500, how much commission pay should you earn?
Answer:
$43987.50
Step-by-step explanation:
3.5% of $42,500 is
(3.5 x 42500):100 = $1487.5
So, add that number onto the price of the sales from feb.
for each ordered pair determine wheatear it is a solution to 2x
What is the value of 21/8 divided by 3/4.