Steve Fossett is approaching the shores of Australia on the first successful solo hot air balloon ride around the world. His balloon, the Bud LightTM Spirit of Freedom, is being escorted by a boat (directly below him) that is 108 meters away. The boat is 144 meters from the shore. How far is Fossett's balloon from the shore?
Answers
Answer:
180 meters
Step-by-step explanation:
Distance from the balloon to the boat = 108 meters
Distance from the boat to the shore = 144 meters
Since the boat is directly below the balloon, the problem forms a right triangle in which the distance from the balloon to shore is the hypotenuse.
Let the length of the hypotenuse = l
Using Pythagoras Theorem
[tex]l^2=108^2+144^2\\l^2=11664+20736\\l^2=32400\\l=\sqrt{32400} \\l=180$ meters[/tex]
The distance from Fossett's balloon to the shore is 180 meters.
Fossett's balloon is 180m from the shore
data;
escort boat to the ballon = 108mboat from the shore = 144mdistance between the ballon and the shore = xPythagoras TheoremTo solve this problem we can assume this is situation forms a right angle triangle and we can solve this using pythagoras theorem.
[tex]x^2 = y^2 + z^2\\[/tex]
Let's substitute the values and solve
[tex]x^2 = y^2 + z^2\\x^2 = 108^2 + 144^2\\x^2 = 32400\\x = \sqrt{32400} \\x = 180m[/tex]
Fossett's balloon is 180m from the shore
Learn more on pythagorean theorem here;
https://brainly.com/question/231802
Related Questions
Suppose the area of a rectangle is represented by the expression 100 – 49. When the expression is fully factored, the factors represent the dimensions of the rectangle. What expressions represent the dimensions of the rectangle?
Answers
Answer:
a - b and a + b.
Step-by-step explanation:
Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.
According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.
In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).
We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.
Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).
Hope this helps!
Can someone help me
10 pts
Answers
Answer:
x=7
Step-by-step explanation:
If BD is the bisector, then ABD = DBC
3x-1 = 34-2x
Add 2x to each side
3x-1+2x = 34-2x+2x
5x-1 =34
Add 1 to each side
5x-1+1 = 34+1
5x= 35
Divide by 5
5x/5 = 35/5
x = 7
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.
Answers
Hi,
it'took 70 minutes to empty the pool.
After 20 it's stay 45 000 litres. So in 50 minutes, 45 000 litres are gone.
So : 45 000 / 50 = 4500/5 = 9*5 *100 /5 = 900
900 litres is off every minute.
So the pool contained : 900 *70 = 63 000 litres in the beginning.
13. Fill in this diagram so that each of the rows, columns and
diagonals adds to 18.
What is the sum of all the corner numbers?
(A) 20
(B) 22
(C) 23
(D) 24
(E) 25
Answers
Answer:
D. 24
Step-by-step explanation:
Let's name the diagram
Row 1: a1, a2, a3
Row 2: b1, b2, b3
Row 3: c1, c2, c3
From the diagram,
b2 and c2 have been given
All rows, columns and diagonal must sum up to 18
If b2=6 and c2=4
a2=18-(6+4)
=18-10
=8
a2=8
Assume a1=4
Diagonals a1+b3+c3=18
4+6+c3=18
10+c3=18
c3=18-10
=8
Assume a3=6
Diagonals a3+b2+c1=18
6+6+c1=18
12+c1=18
c1=18-12
=6
So b1=18-(6+4)
=18-10
=8
b1=8
b3=18-(6+8)
=18-14
=4
b3=4
Input all the numbers into the boxes
We have,
4 8 6
8 6 4
6 4 8
Corner numbers are a1,a3,c1,c3
=4,6,6,8
Sum of all the corner numbers=4+6+6+8
=24
D. 24
34.9 was rounded to 1 decimal place. What is the upper bound?
Answers
=======================================================
Explanation:
The upper boundary, or upper bound, is a fence of sorts.
Note how the following values all round to 34.9, when rounding to one decimal place
34.9434.94534.94934.949934.9499934.94999934.949999934.94999999We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9
All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answers
Answer:
60 square units
Step-by-step explanation:
We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.
From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...
(10×6), (2×6), (6×4), (6×4)
Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...
(1/2)(60 +12 +24 +24) = 60
Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:
trapezoid area = 120 -60 = 60 . . . . square units
please help find the correct solutions for the equations below 2x+20=-3x-25 x= -7x+14=4x- 19 x= 10x-3=-5x-18 x= answers 8 5 6 24 -1 -9 20 3 10 -2
Answers
Answer:
I think its 8
Step-by-step explanation:
Find the area of the triangle.
Answers
Answer:
80cm^2
Step-by-step explanation:
Answer:
80 ft^2
Step-by-step explanation:
To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2
The figure is not trying to scale. PQ and MN are straight lines. Find X
Answers
45°
Explanation:
AngleMR is 90° which means Angle MP and angle X have to be equivalent and all three angles add up to 180°, making angle X equal to 45°
Please help find the measure of the arc
Answers
Answer: 214
Step-by-step explanation:
The circumference of a circle measures 360 degrees, and since minor arc EF measures 146 degrees, this means arc EDF measures [tex]360-146=214^{\circ}[/tex]
arc EDF measures is 214°
What is arc?The arc is a portion of the circumference of a circle
The circumference of a circle measures 360°,
Since minor arc EF measures 146°,
arc EDF measures = 360°-146° = 214°
Hence, arc EDF measures is 214°
learn more about arc of circle
https://brainly.com/question/1577784
#SPJ2
Please answer this in two minutes
Answers
Answer:
Tan(x) = 1/[tex]\sqrt{3}[/tex]
We know that Tan 30 = 1/[tex]\sqrt{3}[/tex]
Therefore, x = 30 degrees
using the frequency table. what fraction of students passed the test
Answers
Add the frequency for 16 and above :
5 + 7 + 7 = 19
19 passed
Total students ( add all frequencies) is 30
The fraction that passed is 19/30
Latisha worked for six hours and 45 minutes how should she write that on her time card
Answers
Answer:
Hey there!
6 hrs 45 mins = 405 mins, or 6.75 hours.
Hope this helps :)
In the figure, angle A measures 45° and angle E measures 15°.
The measurement of angle C is___
The measurement of angle D is___
Answers
Answer:
m<C = 45
m<D = 30
Step-by-step explanation:
m<A + m<B + m<C = 180
45 + 90 + m<C = 180
m<C = 45
m<E + m<A = 60
60 + 90 + m<D = 180
m<D = 30
If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°hat is mArc S T?
Answers
Answer:
The answer is below
Step-by-step explanation:
In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64° 87°
Given that:
mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees
∠SOR = ∠TOU (Vertically opposite angles are equal). Therefore:
13 x = 15x - 8
solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x = 13(4) = 52°
∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
Answer:
C) 64 degrees
Step-by-step explanation:
just took the test on edg2020
The zeroes of the function are . of the zeroes have a multiplicity of 2.
Answers
Answer:
The three roots have a multiplicity of 2
Step-by-step explanation:
The zeros of the function refers to those points on the x-axis on which the curve passes through
These are the points -2,0 and 4
Now we want to determine which of these points has a multiplicity of 2?
The correct answer is that all have a multiplicity of 2 since 2 can be factored out
2(-1) , 2(0) and 2(2)
Answer:
the answer is A. none
Help is much appreciated. It is easy but, for me I am just confused.
Answers
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada’s Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip.
Answers
Bsnshsnsjajs
Shamans
Ah
Skek6171
Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 4545 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, at what mean oil-change time would there be a 10% chance of being at or below? This will be the goal established by the manager. There would be a 10% chance of being at or below nothing minutes. (Round to one decimal place as needed.)
Answers
Answer:
The answer is given below
Step-by-step explanation:
The mean (μ) = 21.2 minutes and the standard deviation σ = 3.5 minutes.
the oil-change facility will perform 45 oil changes between 10 A.M. and 12 P.M, therefore the sample size n = 45
there be a 10% chance of being at or below. From the normal distribution table, The z score corresponding to a probability of 10% (= 0.1) is -1.28.
z = -1.28
To calculate the mean oil-change time, we use the formula:
[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }\\\\ Substituting \ values:\\-1.28=\frac{x-21.2}{\frac{3.5}{\sqrt{45} } }\\\\x-21.2=-0.6678\\\\x=-0/6678+21.2\\\\x=20.5[/tex]
PLZZZZZ HLPPPPP MEEEEEEEEEE NOW <3
Answers
Answer:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Step-by-step explanation:
The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:
[tex]y - k = C\cdot (x-h)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).
Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:
[tex]C = 1[/tex]
After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:
[tex]V(x,y) = (-3,-2)[/tex]
The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):
[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]
[tex]y = x^{2} + 6\cdot x + 7[/tex]
Then, the blue parabola is represented by the following equations:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Sean and katherine have been married for two years. They want to start a family soon. However, before having a child, they would like to secure their future and the future of their child. Which financial option will help them secure their family's future? A. Invest in in several real estate options B. Invest in high-risk shares that promise big returns C. Invest in a joint insurance and retirement plans D. Become entrepreneurs or invest in a profit-making business
Answers
PLEASE MARK BRAINLIEST!!!!!! Thanks
Answer:
A joint insurance and retirement plan would generally be the most secure investment.
Step-by-step explanation:
Note: there may be divergence in the answers depending on personal opinion.
If they would like to secure their future, then they need secure investments, or low-risk investment. Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.
A. real estate options, mean unknown return in unknown time-frame
B. high risk shares that promise big returns mean risky investment with high risk of losses
C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)
D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.
expand the following 8 (3x-y)
Answers
Answer:
24x-8y
Step-by-step explanation:
8(3x-y) - distributive property
24x-8y
Answer:
24x - 8y.
Step-by-step explanation:
8(3x - y) = 8 * 3x - 8 * y = 24x - 8y
Hope this helps!
PLEASE HELP ME! Sally is paid a fixed amount of money to walk her neighbor's dog every day after school. When she is paid each month, she puts aside $20 to spend and saves the remaining amount. Write an expression that represents the amount Sally will save in 6 months if she earns m dollars each month.
Answers
Answer: 6($m - $20)
Step-by-step explanation:
From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:
$m - $20.
The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:
= 6($m - $20)
Answer:
Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.
Step-by-step explanation:
she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)
The side lengths of a square are each 3p. By adding 5 to the length and subtracting 5 from the width, a rectangle is made. What is the area of the rectangle?
Answers
Answer:
A = 9p² - 25
Step-by-step explanation:
The side lengths were 3p. 5 was added to the length and subtracted from the width. This means that
l = 3p + 5
w = 3p - 5
Plug these values into the formula for the area of a rectangle.
A = lw
A = (3p + 5)(3p - 5)
A = 9p² - 25
The area of the rectangle is 9p² - 25.
47:PLEASE HELP Find the y-intercept of -x +2y=20
Answers
Answer:
(0,10)
Step-by-step explanation:
-x + 2y = 20
2y = x +20
y = 1/2x + 10
This is slope-intercept form. The y-intercept is 10.
(0,10)
Answer:
(0, 10)
Step-by-step explanation:
Can be simplified to
2y = x+20 by adding x to both sides
then divide by 2 to get to slope intercept form: y = ax+b
b is the y-intercept
y = 1/2x + 10
so the answer is 10
PLS HELP ME IVE BEEN TRYING
Answers
Answer:
try and let me know is it correct or not line A-4 lineB-8
Step-by-step explanation:
i also use mathswatch
Evaluate. 8−2⋅3+7 Enter your answer in the box
Answers
Answer:
9
Step-by-step explanation:
8−2⋅3+7
PEMDAS
Multiply and divide first
8−6+7
Then add and subtract
2+7
9
Answer:
9
Step-by-step explanation:
Remember to follow the order of operations, PEMDAS. Note that PEMDAS =
Parenthesis
Exponent (& Roots)
Multiplication
Division
Addition
Subtraction
First, multiply -2 with 3:
-2 * 3 = -6
Next, follow the left -> right rule. First subtract, then add:
8 - 6 = 2
2 + 7 = 9
9 is your answer.
~
Express 35 millimetre in centimetre
Answers
Answer:
Hello!
___________________
Express 35 millimetre in centimetre
Millimetre = 35
Centimetre = 3.5
Step-by-step explanation: Divide the length value by 10.
Hope this helped you!
:D
Answer:
Hey! :)
35 millimetre = 3.5 centimetre
Good luck!
- The Brainly Team
A grandfather wants to know the average height of all his grandchildren. He finds that the heights of his 9 grandchildren are given in inches by 63,71,60,59,74,60,60,75,58.
Answers
Answer:
The average height is 64.45 inches.
Step-by-step explanation:
Total number of children = 9 children
Heights in inches = 63,71,60,59,74,60,60,75,58.
The average height of grandchildren can be determined by adding all the given heights and then divide by the number of grandchildren.
Now if we add all the given heights of 9 children = 63 + 71 + 60 + 59 + 74 + 60 + 60 + 75 + 58 = 580
The average heights = 580 / 9 = 64.45 inches.
Answer:64.4
Step-by-step explanation:
please help ! As an estimation we are told £3 is €4. Convert £64.60 to euros. Give your answer rounded to 2 DP.
Answers
Answer:
€86.13
Step-by-step explanation:
The computation is shown below:
According to the given question
The estimation we told is
£3 = €4
£ reflects the sign of the pound and "€" reflects the sign of Euro.
Therefore we apply the estimation we get
£1 = €
Now multiply both sides by 73.50.
£64.60= €
£64.60 = €
Therefore, the estimated value of £64.60 is €86.13 (£64.60 × 4 ÷ 3)