1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
seraphim [82]
3 years ago
14

A meteorologist measures the angle of elevation of a weather balloon is 41 degrees. A radio signal from the balloon indicates th

at it is 1503 meters from his location. To the nearest meter how high above the ground is the balloon?
Mathematics
1 answer:
I am Lyosha [343]3 years ago
4 0
You can draw a diagram of the situation, representing it by a right triuangle.

In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.

The opposed leg to 41° is the height of the ballon.

Then you can use the sine trigonometric function.

sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)

=> x = 986m.

Answer: 986m
You might be interested in
Which expression has a value of 90?
ratelena [41]

Answer:

1. 73.2

2. 90

3. 80

4. 80

Step-by-step explanation:

you will have to divide 3,600 by 50

8 0
3 years ago
Read 2 more answers
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned
viktelen [127]

Answer:

We have a total investment of $20,000 in two different amounts A and B.

Then:

A + B = $20,000.

And we know that the interest of the amount A is 7%, and the interest of the amount B is 10%. (i will assume that both interests are yearly interest)

And after one year, Hank earns $1,640 thanks to those interests, then we have that:

(7%/100%)*A + (10%/100%)*B = $1,640

And we can write this as:

0.07*A + 0.1*B = $1,640

Then we have a system of equations:

A + B = $20,000

0.07*A + 0.1*B = $1,640

To solve this, the first step is isolating one of the variables in one of the equations.

Let's isolate A in the first equation:

A + B = $20,000

A = $20,000 - B.

Now we can replace this in the other equation:

0.07*A + 0.1*B = $1,640

0.07*($20,000 - B) + 0.1*B = $1,640

$1,400 - 0.07*B + 0.1*B = $1,640

0.03*B = $1,640 - $1,400 = $240

B = $240/0.03 = $12,000

Then we have:

A = $20,000 - $12,000 = $8,000

Hank invests $12,000 in the 10% account and $8,000 in the 7% one.

6 0
3 years ago
What is the value of 9,449 - 3,463?
Ivahew [28]

Answer:

it is. 7126

Step-by-step explanation:

Mark me BRAINLISTESLD

7 0
3 years ago
Read 2 more answers
A car insurance company has determined that 66​% of all drivers were involved in a car accident last year. Among the 1010 driver
jenyasd209 [6]

Answer: Our required probability is 0.618.

Step-by-step explanation:

Since we have given that

Probability of all drivers were involved in a car accident last year = 66%

Number of drivers = 10

Number of drivers involved in a car accident = 3

So, probability of drivers involved in car accident is given by

\dfrac{3}{10}\\\\=0.3

Probability of getting 3 or more who were involved in a car accident is given by

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

Here,

P(X=0)=^{10}C_0(0.7)^{10}=0.028\\\\P(X=1)=^{10}C_1(0.7)^9(0.3)=0.121\\\\P(X=2)=^{10}C_2(0.7)^8(0.3)^2=0.233

So, our equation becomes

P(X≥3)=1-P(X=0)-P(X=1)-P(X=2)

P(X\geq 3)=1-0.028-0.121-0.233=0.618

Hence, our required probability is 0.618.

4 0
3 years ago
If you had 1080 and the ratio is 3:4:5 how much would each person have
jolli1 [7]
270:360:450 is the ratio 
7 0
3 years ago
Other questions:
  • Please help, Karen took the kids, I need assistance ASAP.
    5·2 answers
  • The perimeter of a triangle is 51 centimeters. The lengths of its sides are consecutive odd integers. Find the lengths of all th
    6·1 answer
  • Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9
    6·1 answer
  • Evaluate each expression if <br> a=1, b=4, x=-2, y=3
    7·1 answer
  • Simplify the expression 4p−5(p+6)
    13·1 answer
  • Which of the following phrases could represent the expression K - 4?
    11·1 answer
  • Please answer the question above, will mark as brainliest answer​
    8·1 answer
  • B) The adjoining cylindrical vessel is 70 CM high and the radius
    7·1 answer
  • Which one is the one?
    13·1 answer
  • The sum of an integer and 5 times the next consecutive integer is 29. find the value of the lesser integer
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!