hot air balloon is attached to the ground by a cable that is 200 meters long. The cable makes a 57° angle with the ground.
How many meters above the ground is the balloon if there is no slack in the cable? Round your answer to the nearest tenth of a meter
Answer:
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
By inscribing the given information in a right triangle, we will see that the ballon is 167.7 meters above the ground.
Think in the situation as in a right triangle, you have a hypotenuse that is equal to the length of the cable, you know one angle of 57°, and the opposite cathetus to this angle represents the height at which the ballon is, this is what we want to find.
Using the relation:
sin(θ) = (opposite cathetus)/hypotenuse.
Where:
θ = 47°hypotenuse = 200mopposite cathetus = height.Replacing that we get:
sin(57°) = height/200m
sin(57°)*200m = height = 167.7m
So the balloon is 167.7 meters above the ground.
If you want to learn more, you can read:
https://brainly.com/question/15345177
Which choice shows the correct solution to 2528 ÷ 8?
Answer:
B.
Step-by-step explanation:
Hope it helps!
What is the answer to this question above?
Answer:
is it multiple choice
Step-by-step explanation:
Answer:
x is 10 y is 5.8
Step-by-step explanation:
x=y+4.2=10
Choose the correct answer below for the following problem:
(‒489) + (‒764) =
A.
‒1,253
B.
275
C.
1,253
D.
‒275
Step-by-step explanation Answer:
A -1253
-489-764 = -1253
Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.
Where does the graph intersect the y-axis (answer should be an ordered pair)?
Given:
The equation is
[tex]1.5x+4.5y=18[/tex]
To find:
The y-intercept (in ordered pair).
Solution:
We have,
[tex]1.5x+4.5y=18[/tex]
Putting x=0, we get
[tex]1.5(0)+4.5y=18[/tex]
[tex]0+4.5y=18[/tex]
[tex]4.5y=18[/tex]
Divide both sides by 4.5.
[tex]y=\dfrac{18}{4.5}[/tex]
[tex]y=4[/tex]
So, y-intercept is 4.
Therefore, the graph intersect the y-axis at (0,4).
For which equation is a = 4 not the solution?
9 a = 36
5 a = 54
8 a = 32
6 a = 24
9x4=36 X
8x4=32 X
6x4=24 X
5x4=20, not 54.
So 5xA=54 is the correct answer
hope it helps!
PLEASE HELP! ILL GIVE YOU BRAINLIEST
Answer:
In the first picture is B
In the second is C
Step-by-step explanation:
Answer:
the first one is A. 2n + 2 and the second is C. 3(y + 2)
Step-by-step explanation:
So for the first one, 5n + 2 - 3n, is basically combining the factors with the variable n, so you subtract 3n from 5n, giving you 2n + 2, or A.
The second one is kinda reverse. You have to find the one that makes the most sense via Distributive Property. So what you do is separate 3 from the others and put y + 6 in parentheses, like this:
3(y + 6)
But this isn't the answer, as if you do the distributive property with this answer, you would get 3y + 18, and that's not what we want to get. So what we have to do is divide 6 by 3, giving us 2, thus giving us our answer of C.
Hope I helped! ^w^
1) Albert has $200 in the bank. He would like to save $50 every month to buy Christmas
gifts. Which equation can be used to find y, the amount Albert will save for x days?
y = 50x + 200
y = 50 + 200x
y = 250x
y = 200 + 250x
Answer:
y = 50x + 200
Step-by-step explanation:
He has $200 at the bank. He is then adding 50 per month (that's why its 50x).
please help me with this, thank you so much!!
Answer:
a. 55.5
b. 12
Step-by-step explanation:
a. 94+17=111
180-111=69
2x+69=180
2x=111
x=55.5
b. 180-90=90
5x-7+x+25= 90
6x+18=90
6x=90-18
6x=72
x=12
Patrick paid $12 for
25 pounds of candy.
How much did each
pound of candy cost?
Answer:
48 cents each pound
Step-by-step explanation:
Divide $12 by 25 pounds.
12÷25=0.48
What is 6000 times 8000 plus 3000-20
Answer:
48,002,980
Step-by-step explanation:
Have a good day
20% of a is 11. what is a
Answer:
2.2
Step-by-step explanation:
11*.20 = 2.2
So that is 20% on 11.
Hope this helps!
In one year, Linda's parents spend $2400 on cable and internet service. If they spend the same amount each month, what is the resulting monthly change in the family's income? *
Answer: $200
Step-by-step explanation:
Given: In 1 year ,
Linda's parents spend $2400 on cable and internet service.
If they spend the same amount each month, Monthly payment = [tex]\dfrac{\text{Total money spent in 1 year}}{\text{Number of months in a year}}[/tex]
[tex]=\dfrac{\$2400}{12}\ \ \ [\text{Number of months in a year}=12]\\\\=\$200[/tex]
Hence, the resulting monthly change in the family's income = $200
Which of the following statements would not translate to the equation 8 ÷ x = -4?
A. Eight divided by a number is equal to negative four.
B. The solution of a number divided by eight is negative four.
C. The quotient of eight and a number equals negative four.
D. If eight is divided by a number, the result is negative four.
Answer:
B
Step-by-step explanation:
B it's wrong because 8 is divided by a number not a number by 8
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
i uhm eeeeeeeeeeeeeeeeeeeeeeeeee
HELP ILL GIVE BRAINLIEST
Answer:
i think its is 1.x 2.x4 3.x9 4.1x-2Step-by-step explanation:
i tride but it will be helpful if you give me brainlits
Write the equation of a line in point-slope form that is parallel to y=5X-2 and goes through the point (2,3)
Slope: m =
Slope-Intercept Form: y = mx + b
Point Slope Form: y - y = m(x - 1)
Answer:
y - 3 = 5(x - 2)
Step-by-step explanation:
[tex]5^{2} 5^{9}[/tex]
Answer:
5^11 = 48828125
Step-by-step explanation:
5^11 ( 2 + 9 = 11)
On Monday the temperature was 3 degrees below 0 on Tuesday the temperature was 7 degrees what was the change in temperature
Answer:
10 degrees
Step-by-step explanation:
7 - (-3) = 7+3 = 10 degrees
1
If x = 4 and y = -2, the value of
2
1 xy² is
Answer:
16
Step-by-step explanation:
PEMDAS
Find the angle measures.
Justify your responses.
Given: a//b, m1 = 71 degrees
Find: m5 , m8
SHOW YOUR WORK OR I WILL NOT GIVE YOU BRAINLIEST ANSWER! THANK YOU
Answer:
The measure of angle MNP is
m ∠ MNP = (x - y)/2
Explanation:
The image attached shows the figure corresponding to this question.
The angle MNP, which is also the angle LNP, is formed by the intersection of a secant and a tangent to a circle.
Then, you can use the theorem:
the angle formed by a secant and a tangent to a circle that intersect outside the circle is half the difference of the major arc minus the minor arc.
The major arc formed is identified with the letter x and the minor arc is identified with the letter y. Thus, the measure of the angle MNP is half the difference x - y:
m ∠ MNP = (x - y)/2
Brainleist please
HELP ME ASAP
Solve for x in the diagram below
Answer:
IM SORRY THIS ISNT HELPING BUT I LOVE THE NOAH NECK PFP LUEJEHE
A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this rule?
VX
(x,y) - (x - 3, y + 5)
O (x, y) - (x-3, y-5)
(x,y) - (x + 3, y-5)
O(x, y) - (x + 3, y + 5)
Answer:
A
Step-by-step explanation:
The solution is, The way to write the rule is: (x, y) is (x – 3, y + 5).
A triangle which is on a coordinated plane is translated to the rule.
What is coordinate plane?Two lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line that is the other number line.
here, we have,
The original rule x and y coordinates
that are being moved to the left-hand side of the equation by
decreased by 3 units and rise up by 5 units.
Based on the information given,
we can come to the conclusion that other way to
write the given rule is
(x, y) is (x – 3, y + 5).
Hence, the other rule which are given are incorrect.
To learn more about coordinate plane :
brainly.com/question/8978243
#SPJ7
Plz help I’ll mark brainliest
Answer:
J
Step-by-step explanation:
I did it in my head so?? ya
gl
Can somebody please help me out
Answer:
Right so, you would first graph your center point. Then, based on the radius, you would make four points. Let's say your center point is (0,0) and your radius is 2. You would make a point at (-2,0), (2,0), (0,-2), and (0,2). You would then draw a circle through those points. Let me know if you need any further clarification!
Factoring the following Difference of Two Perfect Squares.
X^2– 16
hi
x²-16 = (x+4) (x-4)
Two gallons of juice is poured into 8 containers so that each container holds the same amount of juice.
This visual model represents the situation, with each letter representing one of the containers.
Two equally sized rectangles. Each rectangle is divided into 8 equal parts. Longer lines separate every 2 parts. The first 2 parts of the first rectangle are each labeled A. The second 2 parts of the first rectangle are each labeled B. The third 2 parts of the first rectangle are each labeled C. The fourth 2 parts of the first rectangle are each labeled D. The first 2 parts of the second rectangle are each labeled E. The second 2 parts of the second rectangle are each labeled F. The third 2 parts of the second rectangle are each labeled G. The fourth 2 parts of the second rectangle are each labeled H.
How much juice does each container hold?
18 gal
14 gal
12 gal
1 gal
Answer:
1/4
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:hpe this helps
3. What is the slope and the y-intercept of
the line represented by equation:
2x + y = 1?
Explanation:
Answer:
The slope is -2/1 or simplified -2 and the y-intercept is 1
Step-by-step explanation:
Answer: Slope:-2 and y-intercept:1
Step-by-step explanation:
y=1 because the y by itself means 1.
The slope is a -2 because you have to do the opposite.
I used a calculator for math for the answer
Fine the value of 8 1/3
Answer:
8.333333333333333333333333333333333333333333333333333
Step-by-step explanation:
Answer:
Exact Form:
25/3
Decimal Form:
8.3
Mixed Number Form:
81 /3
• Samir and Jillian share a phone plan. Each month they can use a combined total of up
to 8 GB of data. So far this month, Samir has used 4.23 GB and Jillian has used 2.89 GB.
They want to know whether they still have data left to use.
.) Find the
sum
of Samir's and Jillian's data.
Compare that amount to
8
GB.
) An exact calculation is not necessary to solve the problem.
You can approximate the sum by rounding the addends.
• Round each person's data to the nearest gigabyte.
Samir:
GB
Jillian:
?
GB
7
8
9
4
5
6
Answer:
72GB
Step-by-step explanation:
Answer:
7 GB
Step-by-step explanation:
Just did this