Answers
Answer:
173.2m
Step-by-step explanation:
Let C be the position of the meteorological station, B the position of the balloon and CB be the cable.
Let the height of the balloon from the ground be AB=hmetres.
In a right angled triangle ACB
BC
AB
=sin60
∘
⇒
200
h
=
2
3
since
sin60
∘
=
2
3
⇒h=200×
2
3
⇒h=100
3
∴h=100×1.732=173.2 since
3
=1.732
Hence, the height of the balloon above the ground is 173.2m
Related Questions
Sally goes to the store and buys a camera for $65. The store is
running a discount of 10%. What is the price of the camera after the
discount?
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Answer:
58.50
Step-by-step explanation:
There are 100 classes at Sun Valley Magnet School. 45% of the classes are Math and Science. How many classrooms are not Math and Science?
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what is the equation
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[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y_1 = y - coordinate \: \: point \\ x_1 = x - coordinate \: \: point[/tex]
From the given equation.[tex]y + 8 = 4(x - 5)[/tex]
[tex]y - ( - 8) = 4(x - ( + 5))[/tex]
Answer[tex] \large \boxed{( - 8,5)}[/tex]
How do you write 0.060 in scientific notation?
Answers
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
[tex]6 \times 10 {}^{ - 2} [/tex]
Find the local maximum and minimum values of f(x)=x^3-6x^2+5
Answers
Answer:
Local maxima at x=0
Local minima at x=4
Step-by-step explanation:
Will give Brainly
Find the measure of b.
Answers
Answer:
b= 90 degrees
Step-by-step explanation:
opposite sides
can someone please help meeee
Answers
97^2 = 9409
65^2 = 4225
4225 + b^2 = 9409
b^2 = 5184
b = 72
then you need to add 65 and 72 to get 137
137 - 95 = 42
42 kilometers closer
All of the following would make a formal proof incomplete except what?
A) A lack of justifications
B) Incomplete sentences
C) Errors in logic
D) Incorrect reasons for statements
Urgent I need this for tonight please!!!
Answers
Answer:
b incorrect sentences
Step-by-step explanation:
got it right on my test
47 + 34 - 3k ТІЗk + Зk
solve for k show your work
Answers
Answer:
47+34= 3k + 3k + 3k + 3k
Step-by-step explanation:
6¾
order 9%, 0.03, 0.7% and 0.004 from least
to greatest
Answers
A bird leaves its nest and travels 18 miles per hour downwind for x hours. On the return trip, the bird travels 3 miles per hour slower and has 5 miles left after x hours.
a. What is the distance of the entire trip? (In miles)
b. How long does the entire trip take? (In hours and minutes and seconds)
Answers
9514 1404 393
Answer:
60 miles3 hours 40 minutes 0 secondsStep-by-step explanation:
The relation between speed, distance, and time is ...
distance = speed × time
a) The distance the bird traveled downwind is ...
(18 miles/hour)(x hours) = 18x miles
3 miles per hour slower than 18 miles per hour is 15 miles per hour. So the distance in miles the bird traveled after x hours on the return trip is ...
15x = 18x -5
5 = 3x . . . . . . add 5 -15x
x = 5/3 . . . . . .divide by 3
Then the distance traveled downwind is ...
18x = 18(5/3) = 30 . . . . miles
and the time for the return trip is ...
(30 mi)/(15 mi/h) = 2 h . . . . . for the entire return trip
So, the entire round trip is 2×30 miles = 60 miles.
__
b) The time for the entire trip is ...
5/3 h downwind + 2 h return = 3 2/3 h = 3 hours 40 minutes 0 seconds
Solve each of the following equations.
(4b + 11)(3b - 7) = 0
Answers
Answer:
4b = 4(11/4)
3b = 3(7/3)
Compare the values.
9 × 10^2 is _____ times as much as 3 x 10^-2.
A) 6 x 10^4
B) 3 x 10^-4
C) 3 x 10^4
D) 6 x 10^0
please i need help **Will mark BRAINLIEST**
Answers
10.12 ÷ 4.4 =
A
0.23
B
2.3
C
5.72
D
57.2
Answers
Answer:
The answer is 2.3 B It is just by dividing
Answer:
B. 2.3
Step-by-step explanation:
Change the divisor 4.4 to a whole number by moving the decimal point 1 place to the right. Then move the decimal point in the dividend the same, 1 place to the right.
We then have the equations:
101.2 ÷ 44 = 2.3
and therefore:
10.12 ÷ 4.4 = 2.3
Which of the following statements are true?
The value of the 5 in 592,841 is 10 times the value of the 5 in 358,764.
The value of the 6 in 861,257 is 10 times the value of the 6 in 651,042.
The value of the 8 in 358,764 is 10 times the value of the 8 in 592,841.
The value of the 5 in 592,841 is in of the value of the 5 in 358,764.
The value of the 6 in 861,257 is in of the value of the 6 in 651,042.
The value of the 8 in 358,764 is id of the value of the 8 in 592,841.
Answers
Answer:
5/6 is eaqual to 2.5/3
Step-by-step explanation:
1 A farmer needs to plow a 8-acre field. She starts by plowing – of the field. 6 How many acres does the farmer plow?
Answers
Find the length of XY.
Answers
Answer:
XY = 50
Step-by-step explanation:
Triangle given in the picture,
Point B, C and D are the midpoints of the sides of the triangle.
By applying midsegment theorem in the given triangle,
"Segment joining the midpoints of two sides of a triangle is parallel and half of the length of the third side"
CD = [tex]\frac{1}{2}(XY)[/tex]
25 = [tex]\frac{1}{2}(XY)[/tex]
XY = 50
Therefore, XY = 50 is the answer.
Write an equation of the line that has a slope of -5 and a y intercept of 4 in slope intercept form.
PLEASE HELP!!!
Answers
Hope this helps:)
m = slope
b = y-intercept
Ans: y = -5x + 4
What is the equation of the line that has a slope of 14
and goes through the point (8,−3)?
y=1/4x−5
y=1/4x+5
y=1/4x−11
y=1/4x+1
Answers
Answer:
y=1/4x+1
please mark as brainliest
Which number is 1/10 the value of 600?
Answers
Answer:
60
Step-by-step explanation:
Simply multiply to find your answer:
Answer = 600 x 1/10
Simplify. Divide:
600 x 1/10 = 600/10 = 60
60 is your answer.
~
Answer:
[tex] \frac{1}{10} th \: of \: the \: value \: 600 \\ \frac{1}{10} \times 600 \\ 60 \: is \: the \: required \: number.[/tex]
If P(A) = .80, P(B) = .65, and P(A ∩ B) = .78, then P(B | A) =
Answers
Answer:
P(B | A) = 1.2
Step-by-step explanation:
Given
P(A) = .80P(B) = .65P(A ∩ B) = .78To determine
P(B | A) = ?Using the formula
P(B | A) = P(A ∩ B) / P(B)
= .78 / .65
= 1.2
Therefore,
P(B | A) = 1.2
Part 1: Determine the domain.
DOMAIN:
Answers
Answer:
The domain is -2 to positive 2.
I need help with this word problem please
Answers
Answer:
Step-by-step explanation:
Given function is,
f(x) = [tex]x\sqrt{x}[/tex]
We can rewrite this function as,
f(x) = [tex]x^{\frac{3}{2}}[/tex]
a). Domain of the function is [0, ∞)
Derivative of the function in this domain,
f'(x) = [tex]\frac{3}{2}x^{(\frac{3}{2}-1)}[/tex]
= [tex]\frac{3}{2}x^{\frac{1}{2}}[/tex]
Since, f'(x) > 0 in the interval [0, ∞)
Function is increasing in the interval [0, ∞)
b). For local maxima and local minima,
Second derivative of the function,
f"(x) = [tex]\frac{3}{2}(\frac{1}{2})x^{\frac{1}{2}-1}[/tex]
= [tex]\frac{3}{4}x^{-\frac{1}{2}}[/tex] > 0
So the function should have a local minima.
But the function is continuous in the interval x ≥ 0,
There is no local minima (only absolute minima).
c). Since, second derivative is undefined at x = 0,
There are no inflection points.
d). Since, f"(x) > 0 in the interval [0, ∞)
Concavity of the curve is UPWARDS.
What is the slope of a line that is perpendicular to the graph ofy = 7x+1?
Answers
Answer: 4pi , second part is 5pi/2 + 4npi and third part is 7pi/2 + 4npi
Step-by-step explanation: Edge 2021
three-fourths of the sum of six times a number and twelve distribute
Answers
Answer:
Step-by-step explanation:
Let x be the number.
6 times the number = 6*x = 6x
Sum of 6 times of a number and twelve = 6x + 12
Three-fourths of the sum of 6 times of a number and twelve = [tex]\frac{3}{4}(6x +12)[/tex]
[tex]\frac{3}{4} ( 6x + 12) = \frac{3}{4}*6x + \frac{3}{4}*12\\\\[/tex]
[tex]= \frac{3}{2}*3x + 3*3\\\\=\frac{9}{2}x + 9[/tex]
Dan invests £1600 into his bank account. He receives 3.5% per year simple
interest. How much will Dan have after 2 years? Give your answer to the
nearest penny where appropriate.
Answers
Answer:
171200 pennies
Step-by-step explanation:
Amount after 2 years = Principal + Interest
Given
Principal = £1600
Rate = 3.5%
Time = 2years
Get the interest
Interest = PRT/100
Interest = 1600*3.5*2/100
Interest = 32 * 3.5
Interest = £112
Get the amount after 2 years;
Recall that:
Amount after 2 years = Principal + Interest
Amount after 2 years = 1600 + 112
Amount after 2 years = £1712
Hence the amount Dan will have after 2 years is £1712
1712 pounds = (1712 * 100)penny
1712 pounds = 171200 pennies
k I need help again the last part says triangles
Answers
C
One side is 3, another is 6, and the last side is 9
Hope this helps :)
Pls give me BRAINLIEST
if there is one store and they are selling 10 pens for 8.99 and they are selling 25 pens for 19.75 witch one is better explian
Answers
25 pens is better because if you see the cost of one it will be cheaper
What is the solution to the inequality 5.25- b
6.5?
Answers
-b > 6.5 - 5.25
b < 1.25
Hope this helps!
/////////////////////////////////////////////////////////////////////////////////////////////////////////////
The tax on a property with an assessed value of $90,000 is $1,350. Find the tax on a property with an
assessed value of $140,000.
a. $1500.00
b. $150.00
c. $2100.00
d. $210.00
e. $750.00
Answers
Answer:
0.015 or 1.5% tax
Step-by-step explanation:
90000x0.015 = 1350