They got to an altitude of 500 feet. The balloon is tethered to the ground by a cable and the angle between the ground and the cable is 53º. Find the length of the cable
Answers
Answer:
about 626.1 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right triangle. The given angle is opposite the given side, and we are asked to find the hypotenuse. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
__
Solving for the hypotenuse, we get ...
Hypotenuse = Opposite/Sin
cable length = (balloon height)/sin(53°) = (500 ft)/0.79864
cable length ≈ 626.1 ft
Related Questions
Use the distributive property and then simplify the expression.
3(x-8)+6(x+4)
Answers
Answer: 9x
Explanation: Distributive property basically multiplies the numbers inside the parentheses by the number outside of them.
So, in this case, to simplify both parts of the equation, you’d have to multiply “x” and “8”by 3, and the other “x” and “4” would be multiplied by 6.
3 times “x” would be 3x, and 3 times “-8” would be -24. So the first part simplified would be: -24+3x.
Now for the second part, 6(x+4). We’d multiply “x” and “4” by 6. This would get us 6x and 24.
Now to simplify. We currently have the expression “(-24+3x)+(6x+24)”.
As -24 and 24 cancel each other out, the only things we would have left to simplify would be 3x+6x.
3x+6x is equal to 9x.
So there’s how you’d get your answer of 9x!
Hopefully this was explained easy enough for you! If not, please comment!
I hope this helps you! :)
please help, i would really appreciate your help
Answers
Answer:
x = 7
Step-by-step explanation:
Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.
7x - 4 = 5x + 10
add 4 from both sides to get
7x = 5x + 14
subtract 5x from both sides to get
2x = 14
divide both sides by 2 to get
x = 7
Corresponding angles are Same
7x-4=5x+107x-5x=10+42x=14x=14/2x=7The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches.
Suppose that you are given the value of the unknown number. Verbally describe two methods for finding the area of this rectangle. Use complete sentences in your answer.
PLS HELP
Answers
2) Another method can be dividing the rectangle into 2 triangles (draw a line from one corner to opposing corner) and finding the areas of each triangle. Area of triangle is 1/2 base* height so 2 triangles makes it base * height which is same formula as previous one.
Answer number 10 please thank you
Answers
8%
have a lovely day/afternoon/night!! <3
The second term is 5 the fourth term is 12 and the seventh term is 22. 5 what is the first term?
Answers
Answer:
3.5
Step-by-step explanation:
each jump will increase 3.5
order: 2 3 4 5 6 7
num: 5 8.5 12 15.8 19 22.5
Martin runs three fourths mile three days a week. How many miles does he run in four weeks? (2 points)
a
9 miles
b
nine and one third miles
c
6 miles
d
six and two thirds miles
Answers
Answer: 9miles
Step-by-step explanation: ¾miles three days a week = 9/4 miles a week
In 4 weeks he will run 9/4 × 4/1
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50
Answers
The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.
What is a rectangle?It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.
A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.
Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).
Then the area of the rectangle is given as
Area = l × w
Then we have
w(2w + 5) = 50
More about the rectangle link is given below.
https://brainly.com/question/10046743
Use the matrix tool to solve the system of equations. Enter the answer as an
ordered pair.
4x-y=0
8x +4 =18
Answers
Answer:
(-1/2,2)
Step-by-step explanation:
2(4x+y=0)=8x+2y=0
8x+2y=0
-(8x-y=6)
3y=6
Divide both sides y=2
4x+2=0
4x=-2
divide both sides x=-1/2
An item is listed for $477.00 less 19.66667%, 9%, 7.7% what is the net price?
Answers
What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. x = ft
Answers
Answer:
X: 13.3 feet
Step-by-step explanation:
Acute Scalene Triangle
Side N = 13.28283
Side P = 9.35004
Side M = 15
Angle ∠N = 61° = 1.06465 rad
Angle ∠P = 38° = 0.66323 rad
Angle ∠M = 81° = 1.41372 rad = 9/20π
How many ways can you choose 5 players from 14
Answers
Answer:2002 combinations
Step-by-step explanation:I did the math on my paper
Scores on an English test are normally distributed with a mean of 68.7 and a standard deviation of 6.2. Find the score which seperates the bottom 64% from the top 36%.
Answers
Answer:
70.93
Step-by-step explanation:
Z-score for 100-36 = 64 percentile = +.36 of a S.D. above the mean
.36 * 6.2 + 68.7 = 70.93
laws of exponents:
other:
5⁰*2³
Answers
Answer:
8
Step-by-step explanation:
Hello!
Remember that any value to the power of 0, is always 1.
So we can simplify this expression using that knowledge.
Simplify:
[tex]5^0 * 2^3[/tex][tex]1 * 2^3[/tex][tex]2^3[/tex][tex]8[/tex]The correct solution is 8.
find 10 rational numbers between 3/5 and 3/4
Answers
Answer:
[tex]\sf\fbox\red{ αղsաҽɾ:-} [/tex]
Ten rational numbers between 3/5 and 3/4 are 121/200, 122/200, 123/200, 124/200, 125/200, 126/200, 127/200, 128/200, 129/200, 130/200.
[tex]\small\fbox{\blue{\underline{mαrk \; mє \; вrαínlíєѕt \; plєαѕє ♥}}} [/tex]
Lindsey purchased one pet carrier that $21.89 and two bags of cat food that cost $16.46 each what was the total cost of these items?
Answers
Answer:
[tex]\huge\boxed{\sf \$54.81}[/tex]
Step-by-step explanation:
The cost of pet carrier = $21.89
The cost of 1 bag of cat food = $16.46
The cost of 2 bags of cat food = $16.46 × 2
= $32.92
Total cost:
= $21.89 + $32.92
= $54.81
[tex]\rule[225]{225}{2}[/tex]
[tex] \text{Cost of one pet carrier =}[/tex]$21.89
[tex] \text{Cost of one cat food bag =}[/tex]$16.46
[tex] \therefore \text{Cost of two cat food bag = }[/tex]$16.46×2= $32.92
[tex] \therefore\bold{\underline{Total\:cost}}\text{\:of each items = }[/tex]
$21.89 + $32.92 =[tex] \boxed{\sf \$ \red{54.81}}[/tex]
Hope This Helps35+(-1)+(-64)+(-8) anwer of this question
Addition
Answers
Answer:
[tex]\underline{\boxed{\sf -38}}[/tex]
Step-by-step explanation:
[tex]\sf 35+(-1)+(-64)+(-8)[/tex]
Subtract 1 from 35= 34
[tex]\sf 34-64-8[/tex]
Subtract 64 - 34= -30
[tex]\sf -30-8[/tex]
Subtract 8 - 30 = -38
[tex]\sf -38[/tex] ← Answer
Steps:
Step 1.
Group the positive and negative terms in 35 + (-1) + (64) + (- 8) together and factor out the minus sign. Also remove the parenthesis.
Step 2.
35 - 1 + 64 - 8
(35 + 64) - (1 + 8)
Step 3.
Evaluate 35 + 64.
35 + 64 = 99
Therefore we have 99 - (1 + 8)
Step 4.
Evaluate 1 + 8.
1 + 8 = 9
Therefore we have 99 - 9.
Step 5.
Subtract 9 from 99.
99 - 9 = 90
is −0.25 rational or irrational
Answers
-0.25 is rational.
Brainly patrol, don't you even dare.
Share $420 in the ratio of 2:5:7
Answers
Answer:
If you split it up it would be 60, 150, 210
how do you know the order in P.E.M.D.A.S
Answers
Answer:
Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction
Step-by-step explanation:
The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.
What is an
equation of the line that passes through the points
(1,4) and (3,0)?
Answers
Answer:
y = -2x +6
Step-by-step explanation:
Help
Two walls are 15 feet apart. Two ladders, one
25 feet long and one 18 feet long, are placed at
the bottoms of the walls leaning against the
opposite walls. How far from the ground is the
point where the two ladders cross?
Answers
Answer:
im in 6° but it's a computer so I can't tell
Solve the following:
Answers
Answer:
-4
Step-by-step explanation:
9^2+19/(10^2-5^3)
9^2+19/(10^2-5^3)=81+19/100-125
9^2+19/(10^2-5^3)=81+19/100-125=100/-25
9^2+19/(10^2-5^3)=81+19/100-125=100/-25= -4
Psychologists found over 18,000 different traits by compiling those listed in a dictionary.
А.True
В.False
Answers
Answer:
True
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property tax rate of 0.039. you know that 65% of your property tax dollars go to public schools. to the nearest dollar, how much of your taxes went to funding schools? a. $4,063 b. $3,668 c. $2,641 d. $6,772 please select the best answer from the choices provided a b c d
Answers
Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.
What is tax?A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.
The given data in the problem is;
The market value of the home = is $144,700
They assessed a value of 72% of that amount.
The city has a property tax rate of 0.039.
The assessment value is found as;
[tex]\$ \ 144,700 \times 0.72 = \$ \ 104,184[/tex]
The tax on the property will be;
[tex]\$ \ 104,184 \times 0.039 = \$ \ 4,063.176[/tex]
The amount which goes to funding schools is;
[tex]\$ \ 4,063.176 \times 0.65= \$ \ 2641.0644[/tex]
Hence your taxes went to funding schools will be $2641.
To learn more about the tax refer to the link;
https://brainly.com/question/16423331
Answer:
2641
Step-by-step explanation:
Juan puts 36,500 milliliters of gasoline in his vehicle. A liter of gasoline costs $1.68.
How much did the gasoline cost?
Enter your answer in the box.
Answers
Answer:
$ 61.32
Step-by-step explanation:
36500 ml / 1000ml/l = 36.5 liters
36.5 liters * 1.68 $/liter =
James and Kian both took an online IQ exam independently. The probability that James will pass the test is 0.8 and Kian is 0.7 respectively.Find the probabilities that neither one of them will pass the test.
Answers
Answer:
they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass
what is the volume of this cube? WHO EVER AWNSERS GETS 100 POINTS
Answers
0.5x0.5x0.5=0.125
So the answer is 0.125
Paula makes two slices through a three-dimensional object. One plane is
parallel to the base; the cross-section is a circle. The other plane is
perpendicular to the base; the cross-section is atriangle. What three-
dimensional shape did Paula cut?
• A. Rectangular prism
O B. Cone
O C. Cube
• D. Cylinder
Answers
The answer to your question that you asked is cone or B
Translate this into an algebraic equation.
Milo is 400,000$ in debt. He gets a job that pays 1,906.67 a month. How much money will Milo have in 12 months?
Answers
Answer:
$22,880.04 Without paying off the debt
$18,880.04 After paying off the debt
Step-by-step explanation:
Which function can be used to represent the graphed geometric sequence?
f(x) = 80(One-fourth) Superscript x minus 1
f(x) = 320(One-fourth) Superscript x minus 1
f(x) = 80(4)x – 1
f(x) = 320(4)x – 1
Answers
Answer:
A) 80(One-fourth) Superscript x minus 1
Step-by-step explanation:
Used the table function on my calculator. 1/4 of 80 is 20 and 1/4 of 20 is 5. f(1) = 80 f(2) = 20 f(3) = 5 and so on. Hope that made sense!
Answer:
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]
Step-by-step explanation:
the nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
given the points (1, 80 ) , (2, 20 ) , (3, 5 )
then
x | 1 2 3
y | 80 20 5
with a₁ = 80 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] , then
f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]