Tom sees an enormous thundercloud approaching
from the west. He sees a lightning flash at the top
of the cloud and hears thunder 15 seconds later. His
angle of sight to the top of the cloud is 65°. How
high is the top of the thundercloud off the ground?
Sound takes 5 seconds to travel 1 mile.
Answers
Using the slope concept, it is found that the thundercloud is 6.43 miles above the ground.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
In this problem, we have that:
The angle is of 65º.The vertical distance is the height h.The horizontal distance is of 3 miles, as the sound takes 5 seconds to travel 1 mile, and it took 15 seconds.Hence:
tan(65º) = h/3.
h = 3 x tan(65º)
h = 6.43 miles.
The thundercloud is 6.43 miles above the ground.
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Related Questions
3x+4y=24 ,4x+3y=22 simultaneous equations simultaneous equ
Answers
Answer:
x=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
Sam pays #512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is #47,645.25k. How much does same paid for his meal
Answers
The amount paid by sam will be 11526.75k for the meal.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
Sam pays 512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is 47,645.25k.
We will form an expression from the data given above in the question.
Amount paid by Sam = ( r - 512.75 )
Amount paid by rob = r
( r - 512.75 ) + 3r = 47645.25
( r + 3r ) = 47645.25 + 512.75
4r = 48158
r = 12039.5
The amount paid by sam will be calculated as:-
S = r - 512.75
S = 12039.5 - 512.75
S = 11526.75
Therefore the amount paid by sam will be 11526.75k for the meal.
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What is the range of possible sizes for side x?
Answers
If x is the largest side :
x < 4.1 + 1.3x < 5.4If 4.1 is the greatest side :
4.1 < x + 1.3x > 2.8Range of possible sizes for side 'x' :
2.8 < x < 5.4Add.
(−2+6x^3−3x^2)+(4x^3−5+x^2)
Answers
Answer:
10x^3 - 2x^2 -7
Step-by-step explanation:
To subtract polynomials, you want to subtract the biggest exponent from the first polynomial to the second
so 6x^3 + 4x^3 and that would be 10x^3
then -3x^2 + x^2 and the negative is larger so it would be -2x^2
and finally -2 + -5 and that is -7
hope this helps! :)
Which best describes the orthocenter of a triangle?
O A The point where the three altitudes of the triangle intersect
O B. The point where the three angle bisectors of the triangle intersect
• C. The point where the perpendicular bisectors of the three sides of
the triangle intersect
O D The point where the three medians of the triangle intersect
Answers
Answer:
its A
Step-by-step explanation:
Its a because its A =)
The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 9.7% of his customers buy a magazine and he thinks that he might be able to use the display space to sell something more profitable. Before making a final decision, he decides that for one day he will keep track of the number of customers that buy a magazine. Assuming his suspicion that 9.7% of his customers buy a magazine is correct, what is the probability that exactly 5 out of the first 10 customers buy a magazine?
Answers
The probability that exactly 5 out of the first 10 customers buy a magazine is 0.00126.
Given suspicion of 9.7% that buy a magazine is correct.
We have to find the probability that exactly 5 out of the first 10 customers buy a magazine. Probability is the chance of happening an event among all the events possible.
The binomial distribution is the probability of exactly x successes on n repeated trials and X can only have two outcomes.
[tex]P(X=x)=C_{n,x}p^{x} (1-p)^{n-x}[/tex]
In which [tex]C_{n,x}=n!/x!(n-x)![/tex]
And P is the probability of happening of X.
In the question 9.7% of his customers buy a magazine.
So the value of P=0.097
This can be calculated by :
P(X=5) when n=13
[tex]P(X=x)=C_{n,x} p^{x} (1-p)^{n-x}[/tex]
[tex]P(X=5)=C_{10,5} (0.097)^{5} (1-0.097)^{10-5}[/tex]
=[tex]P(X=5)=C_{10,5} (0.097)^{5} (0.903)^{5}[/tex]
[tex]=10!/5!5!*0.0000085*0.600397[/tex]
=252*0.00000510
=0.001286
Hence the probability that exactly 5 out of the first 10 customers buy a magazine is 0.001286.
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please help
PLEASE
Answers
Answer:
9:6:10
Step-by-step explanation:
Copper: Zinc: Tin= C:Z:T
C:Z:T
3:2
3:5
3x3=9
3x2=6
5x2=10
so, Copper:Zinc: Tin= 9:6:10
if the formula for number of people in bus is p=50b, where k= 50 people per bus show me the formula for number of buses per person ?
Answers
The formula for number of buses per person is b = p/50
This is a way of using a variable to represent other variables in a function.
Given the expression
p = kb
If k = 50, then;
p = 50b
Make b the subject of the formula
p/50 = 50b/50
b = p/50
Hence the formula for number of buses per person is b = p/50
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If a || b and b I y then
Please help look at picture
Answers
Answer:
Abbly non of them your question is wrwon
Assume that the number of patients visiting a medical facility in a day is distributed as a poisson variable. the mean number of patients visiting is 16 per day.
what is the probability that the number of patients visiting is 15 in a day.
find the mean number of days in a month (30 days) with 15 patients visiting.
Answers
Using the Poisson distribution, it is found that:
The probability of 15 patients in a day is of 0.0992.In a month, the mean number of days with 15 patients is of 2.976.What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]
Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:
M = 30 x 0.0992 = 2.976.
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I think of a number and divide it by 3. The result is 2 less than the number I first thought of. Find the number I first thought of.
Answers
Answer:
Let the number be x
so, x/4 = x-3
x = 4(x-3)
x= 4x-12
x-4x = -12
-3x = -12
x= 12/3
x = 4
Step-by-step explanation:
Hope this helps! (:
Please mark me Brainliest!Find the HCF of
x^2 y and y^2
Answers
The highest common factor is [tex]\boxed{y}[/tex].
[20 Points]
Add the expressions 4- 2/3b+ 1/4a and 1/2a + 1/6b -7 . What is the simplified sum?
A: -1/6a + 5/12b - 3
B: 3/4a + 1/2b - 3
C: 3/4a + 5/6b - 3
D: 5/12a - 1/6b - 3
Answers
Answer:
B: 3/4a + 1/2b - 3
Step-by-step explanation:
this ven diagram shows sports played by 10 students.
let event a = the student plays basketball
let event b = the student plays soccer
what is p(A/B)?
Answers
For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)
Answers
Answer:
-x² + 3x + 7
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7
The value of (f - g)(x) is -x² + 3x + 7.
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given functions are;
f(x) = 3x + 1
g(x) = x² - 6
Now,
(f - g)(x) = f(x) - g(x)
= (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
(f - g)(x) = -x² + 3x + 7
Thus, the value of (f - g)(x) is -x² + 3x + 7.
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identify the coefficient of -24x7y3
Answers
Answer: -24
Step-by-step explanation:
See attached image.
Point C is the center of the circle.
Options to the second answer are
A. One-half the measure of angle C
B. Not related to the measure of angle C
C. The complement of angle C
D. Equal to the measure of angle C
Answers
Answer:
D
Step-by-step explanation:
Because.............
What is the gradient of the blue line?
Answers
Sorry but I believe that’s the answer
what it the answer to 1 ÷ 4 1/2=
Answers
Answer:
2/9 or 0.22222
Step-by-step explanation:
Use a Maclaurin series derived in this section to obtain the Maclaurin series for the given functions. Enter the first 3 non-zero terms only.
f(x) = cos(5x2) =______+...
f(x) = sin(-pix) =______+...
f(x) = xtan-1(5x) =_____+...
f(x) = x2e-x/2 =______+...
Answers
Find the slope of segment CD if C is (12, 4) and D is (6,2). (if answer is not a whole number, give a simplified fraction using "" and if the
answer is negative, put the negative sign first; for example you would write-1/2, not 1/-2) Type your answer in Blank 1
Blank 1:
Answers
Answer: 1/3 (if you have other questions like these you can use a slope calculator)
A half-marathon is 13 miles, how many kilometers is that?
26 km
82.36 km
20.92 km
209.31 km
Answers
Answer:
The correct answer would be 20.92
If you can help with this I would be thankful
Answers
The inverse of the function will be [tex]f(x) ^{-1}= 2x - 12\\[/tex]. option C is correct.
What is the inverse of a function?Suppose that the given function is
[tex]f:X\rightarrow Y[/tex]
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist),
then, the inverse of the considered function is
[tex]f^{-1}: Y \rightarrow X[/tex]
The function is given as
[tex]f(x) = \dfrac{1}{2} x - 6\\\\[/tex]
The inverse of the function will be
[tex]f(x) ^{-1}= 2x - 12\\[/tex]
Therefore, option C is correct.
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Which of the following is a like radical to 3/7x?
4 (3√√7x)
O
O √Tx
0 x(³√7)
0 7√√√x
Answers
Answer:
Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.
Step-by-step explanation:
Mathematically, like radicals are just like like terms. For example,
x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.
xy², -9xy², 13y²x are like terms because the total power of each expression is 3.
Similarly, like radicals are:
√2, -5√2, 1.1√2, etc.
Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].
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express the set x < 1 using interval notation
Answers
Answer:
(−∞,1)
Step-by-step explanation:
Which numbers are irrational? Select all that apply.
9/15
О 18
О 9
о 169
√78
О п
Answers
Answer:
⇒ π and √ 78
Rational number:
A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...
Irrational number:
A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....
_________________________
Rational numbers.
The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.
18 is a whole number and integer making it rational.
9 is a integer and a whole number = rational.
169 is a integer and whole number = rational.
_____________________________________
Irrational numbers.
√78 ≈ 8.831760866
This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.
Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.
So, why is PI irrational?It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.
_____________________________________
Therefore, the number that are irrational is π and √78.
What is the answer to the question?
Answers
Answer:
See attached file for answers and explanation.
Step-by-step explanation:
See attached image.
What is the area of ruth's mural?
Answers
Answer:
Step-by-step explanation:
Comment
The shape consists of a rectangle on the bottom and a trapezoid on the top.
Rectangle
A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.
Area = L * w
L = 14
w = 3
Area = 14 * 3 = 42 m^2
Trapezoid
The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5
Area = 1/2(b1 + b2)*h/2
b1 = 14
b2 = 10
h = 8 - 3 = 5
Area = 1/2 ( 14 + 10) * 5 / 2
Area = 1/2 (24)*5
Area = 12 * 5
Area = 60 m^2
Total Area 102 m^2
!!!!!!!!!!!!!!!!!!!help!!!!!!!
Answers
Answer: Answer below.
Step-by-step explanation: Attached is my work. Hope it is helpful!
can someone help me with this problem pleaseee
Answers
Answer:
x-intercept: (-5, 0)
y-intercept: (0, -4)
Step-by-step explanation:
The x-intercept is as the name implies when the line intersects the x-axis (the horizontal axis) or when y is equal to 0. If you look at the graph it intersects the x-axis at (-5, 0). The y-intercept follows the same concept except it's when it intersects the y-intercept (vertical axis) or when x is equal to 0. If you look at the graph it, it intersects the y-axis at (-4, 0).