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:
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Given the function below, what value will result in f(x)=10?
f(x)=1/2x+8
Solve this system using elimination (20 POINTS)
4x-7y=3
x-7y=-15
Answer:
x = 6, y =3
Step-by-step explanation:
4x-7y=3
x-7y=-15
Multiply the first equation by -1
-4x+7y=-3
Then add this to the second equation to eliminate y
-4x+7y=-3
x-7y=-15
------------------
-3x +0y = -18
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
Now find y
x -7y = -15
6 -7y = -15
Subtract 6 from each side
6-7y-6 = -15-6
-7y = -21
Divide by -7
-7y/-7 = -21/-7
y =3
Two water tanks are being filled. The water in Tank A is 3 inches deep, and the depth of the water increases 4
inches every hour. The water in Tank B is 10 inches deep, and the depth is increasing by 2 inches every hour.
Write an inequality to determine when the water in Tank A will be deeper than the water in Tank B.
I need an inequality written for what is written above please!!!
Answer:
i think it is this:
tank a: 6 hours?
tank b: 7 hours?
Step-by-step explanation:
sorry if im wrong if you can please give me brainliest<3 have a good day
(6th grade math)
68.2x8.4=?
Answer:
572.88
Step-by-step explanation:
Use a calculator it makes it easier
The solution of expression 68.2 × 8.4 after multiplying is,
⇒ 572.88
Given that,
A mathmatical expression to solve,
⇒ 68.2 × 8.4
Now, simplify the number and then multiply as,
⇒ [tex]68.2 \times 8.4[/tex]
⇒ [tex](68.2 \times \dfrac{10}{10} )\times ( 8.4 \times \dfrac{10}{10} )[/tex]
After multiplication the numbers we get;
⇒ [tex]\dfrac{682}{10} \times \dfrac{84}{10}[/tex]
⇒ [tex]\dfrac{57,288}{100}[/tex]
⇒ [tex]572.88[/tex]
Therefore, the solution of expression 68.2 × 8.4 is,
⇒ 572.88
Learn more about the multiplication visit:
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Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29
Answer:
B, 36
Because, a composite number has factors
The others are prime
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
help pleaeeeeesssssssss
Answer:
-2, b, a+c
Step-by-step explanation:
hope this helps!
heLp pLs aNd tHanK yOUz
Answer:
5
1
20
4
35
7
45
9
50
10
Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed
In Cary's basketball career, he's made 80% of his free throws, plus or minus 5%. If he attempts 200 free throws this season, what is the range of successful free throws he can expect to make?
Answer:
150 to 170 successful free throws
Step-by-step explanation:
Total % of free throws made = 80%±5%
If attempted number of free throws = 200
Range of successful free throws to expect :
(80% - 5%) of 200 TO (80% + 5%) of 200
75% of 200 TO 85% of 200
(0.75 * 200) TO (0.85 * 200)
150 TO 170
150 - 170 successful free throws
If the length of FH is 18 units, what is the value of x?
3
4
6
12
Answer:
The Value of x would be 3
Step-by-step explanation:
Answer is A
Answer:
A. 3
Step-by-step explanation:
How do you solve (3×-2)^3
Answer:
the answer should be -216
Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc where the measures of the corresponding central angles are the same. What is the relationship between the arc lengths in the two circles? Explain. (2 points)
Answer:
[tex]L=2l[/tex] where [tex]l,L[/tex] denote arc lengths of two circles
Step-by-step explanation:
Let [tex]l,L[/tex] denote arc lengths of two circles, [tex]r,R[/tex] denote corresponding radii and
[tex]\alpha _1\,,\alpha _2[/tex] denote the corresponding central angles.
So,
[tex]l=r\alpha _1[/tex] and [tex]L=R\alpha _2[/tex]
This implies [tex]\alpha _1=\frac{l}{r}[/tex] and [tex]\alpha _2=\frac{L}{R}[/tex]
As each circle has an arc where the measures of the corresponding central angles are the same, [tex]\alpha _1=\alpha _2[/tex]
[tex]\frac{l}{r}=\frac{L}{R}[/tex]
As radius of one circle is twice the radius of the other circle,
[tex]R=2r[/tex]
[tex]\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l[/tex]
2. D-Vee-Ta Supermarket sells pears or $1.68 per kilogram. Estimate the prices for each
amount of pears. Explain how you made your estimation. Use may use the ratio table to
help in your explanation.
1
2
3
4
5
6
$1.68
3.36
5.04
6.72
2.a. 2.75kg
2.b. 0.19kg
Answer:
2.a. The price of 2.75 kg of pears is $4.62
2.b. The price of 0.19 kg of Pears is $ 0.3192
Step-by-step explanation:
The given parameters are;
The price of each kilogram of Pears = $1.68
Therefore, we have;
The price of a given mass of Pears = The mass in Kg of the Pears × The price per kg of Pears
2.a. The price of 2.75 kg of pears = The mass × The price per Kg = $1.68/kg × 2.75 kg = $4.62
The price of 2.75 kg of pears = $4.62
2.b. The price of 0.19 kg of Pears = The mass × The price per Kg = $1.68/kg × 0.19 kg = $ 0.3192
Lisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads Tim uses 9 red beads for every 6 yellow beads Is the ratio of red beads to yellow beads in lisas necklace equivalent to the ratio in tim's necklace?
Answer:
No
Step-by-step explanation:
Lisa: 5 red beads to 3 yellow beads
Tim: 9 red beads to 6 yellow beads
5/3 & 9/6
5/3(2/2) = 10/6
10/6 & 9/6
10/6 > 9/6
10/6 is in fact greater than 9/6. So the answer is no.
Evaluate each expression if a = 3.45 and b = 15.356.
6. b-a.
7. a + b + 5
Answer:
11.906
23.806
Step-by-step explanation:
here you go also can you check my account for some lyrics i posted :)
Mrs. Martinez uses 1.5 pounds of flour for each loaf of bread she makes. How many
complete loaves of bread could she make with a 25-pound bag of flour?
A 16
B 17
C 26
D 37
I feel like its A or B bu idk which.. HELP
Answer:
16
Step-by-step explanation:
The width of a rectangle is 2 cm less than its length. The perimeter of the rectangle is 16 cm. What are the dimensions of the rectangle?
Answer:
Width=3 cm
Length=5 cm
Everybody solve this pls and a answer
More information is needed to properly answer the question!
Step-by-step explanation:
(x+12)+(6x-4)+(3x+2)=180
10x+10=180
10x=170
x=17
m<W =17+12
=29
[EASY + BRAINLIEST] Find the slope-intercept equation of the line. PLEASE HELP!
Answer:
y = 1x + 2
Step-by-step explanation:
i just did this question on brainly but another person asked it.
Mr. Sampson fills the family pool with water for
the summer. After two hours, the water has
reached a depth of 2.5 feet. After three hours,
the water level has risen to 3 3/4feet. If the
relationship between time and water depth is
proportional, what is the constant of
proportionality?
Answer
A.1
B.1 1/4
C.1 1/2
D.2
Answer:
A, because the difference between 2.5 and 3 3/4 is 1. Thanks!
Evaluate the expression. Need Answer Asap
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
Plz help I will mark branindiest?
Answer:
the answer is on google
solve (2x-10)=(65-x)
Answer:
The answer is x = 25.
8x+5x= 1300
what is x
Answer:
x = 100
Step-by-step explanation:
Original equation:
8x + 5x = 1300
Combine like factors
13x = 1300
Divide both sides by 13
x = 100
Hope this helps :)
Please consider Brainliest :)
Answer:
The answer is:
x= 100
Step-by-step explanation:
1. Collect like terms.
Turn 8x+5x to 13x2. Divide both sides of the equation by 13.
13x= 13003. Then you should get, x= 100.
Hope this helps and if you could mark this as brainliest. Thanks!
COULD SOMEONE HELP ME ITS URGENT!!!!
Omar flies his plane out of a local airport. The airport is at an altitude of 1100 feet above sea level. He flies his plane to an altitude of 2500 feet above sea level. Which number represents sea level?
I need help here plz
Answer:
E -5
Step-by-step explanation:
what is 20 times 45 divided by 6
Answer:
The answer is 150
Step-by-step explanation:
I hope this helped, please mark me brainliest. Thank you and have a nice day!
Monday's high temperature in Denver, Colorado was 25°F. The low temperature was
-4° F. What was the difference between the high and low temperatures?
Answer:
The difference between the high and low temperatures is 29°F
Step-by-step explanation:
Subtraction
The high temperature in Denver, Colorado was 25°F on Monday.
The low temperature was -4°F in the same place.
We are required to find the difference between the high and low temperatures.
We need to subtract 25 and -4:
Difference = 25°F - (-4°F)
Note we change the sign of the subtraction multiplying (-1) by (-1);
Difference = 25°F + 4°F
Difference = 29°F
The difference between the high and low temperatures is 29°F
When gold medalist Ren Qian prepared for her dive from the 10 meter platform during the
Olympics, she looked out at her family sitting on the front row (level with the pool) at a 20°
angle of depression. How far away was Ren from her family (ground distance)? Round to the
nearest tenth of a meter.
Write answer like this: ##.# m.
(5 Points)
Enter your answer
Answer:
Ren was 27.5 meters away from her family.
Step-by-step explanation:
Ren Qian was at a height of 10 meters to the ground. Let the distance from her vertical point on the ground to her family (i.e the ground distance) be represented by x.
But the angle of depression is measured with respect to the horizontal plane, so;
the vertical angle = [tex]90^{o}[/tex] - 20°
= [tex]70^{o}[/tex]
Applying the appropriate trigonometric function, we have;
Tan θ = [tex]\frac{opposite}{adjacent}[/tex]
Tan [tex]70^{o}[/tex] = [tex]\frac{x}{10}[/tex]
⇒ x = 10 x Tan [tex]70^{o}[/tex]
= 10 x 2.7475
= 27.475
x = 27.5 meters
Ren was 27.5 meters away from her family.
I need help with this please. I already did this problem but I think I made a mistake can you please look it over?
Answer:
it is corect
Step-by-step explanation:
Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
Answer:
The correct option is;
Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
Step-by-step explanation:
The given function is f(x) = -0.1·cos(x) - 4
The parent cosine function is cos(x)
Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;
The negative sign in the function gives a reflection across the x-axis
The 0.1 factor of the cosine function gives a compression of 0.1
The constant -4, gives a vertical translation 4 units down
Therefore, the correct option is a reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down.
Answer:
✔ vertical compression by a factor of 0.5
reflection across the y-axis
✔ vertical translation 3 units down
vertical stretch by a factor of 0.5
✔ reflection across the x-axis
vertical translation 3 units up
vertical translation 0.5 units down
or A.), B.), and D.)
The function rule y = –0.5cos(x) – 3 describes graph
✔ c shown.