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
sineoko [7]
3 years ago
15

How do I do this exercise?

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0
I think the answer is 80°
You might be interested in
Solve the quadratic equation below<br><br> x2-64=0
Montano1993 [528]

Answer:

x=32

Step-by-step explanation:

first, you add 64 to both sides and you have:    x2=64

second, you divide 2 on both sides to get x by itself, so 64 divided by 2 is 32

4 0
2 years ago
Read 2 more answers
The symphonic choir and the jazz choir are recording songs for an album. The album can be no more than 72
Brut [27]

Answer:

The maximum number of songs that the symphonic choir can record is 14

Step-by-step explanation:

Let

x ----> the number of songs of the symphonic choir

we know that

The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes

so

The inequality that represent this situation is

3(7)+3.5(x)\leq 72

solve for x

21+3.5x\leq 72

subtract 21 both sides

3.5x\leq 51

divide by 3.6 both sides

x\leq 14.6\ songs

therefore

The maximum number of songs that the symphonic choir can record is 14

3 0
2 years ago
An aircraft on a reconnaissance mission takes off from its home base and flies 550 miles at a bearing of S 46° E to a location i
Alexandra [31]
<h3>Answer: D) 1692 miles</h3>

============================================

Explanation:

A diagram is very handy for this type of problem. Refer to the diagram below (attached image). Here are the steps used to form the diagram

  1. Plot point A and make that the home base. Plot point D directly south of point A. I'm skipping B and C because those will be used to form the triangle later.
  2. Imagine you are standing at point A and looking south at point D. Turn 46 degrees toward the east direction (this is what the notation "bearing of S 46° E" means). Then move 550 miles from A to land on point B. This is the location where the plane makes its first turn.
  3. Plot the points E and F, which are north and south of point B.
  4. Imagine we are at point B and looking directly south at point F. Turn 55 degrees toward the west, which is due to the "S 55° W" and then move 483 miles to arrive at point C. This is the plane's location where it turns around to go back to home base.

The diagram below shows all of this visually summarized. We have the segments

  • AB = 550 miles
  • BC = 483 miles
  • AC = x miles

And we have these angles

  • Angle DAB = 46 degrees and Angle ABE = 46 degrees (blue)
  • Angle ABC = 79 degrees (red)
  • Angle ACB = 55 degrees and Angle FBC = 55 degrees (green)

Angle ABC comes from the fact that the blue and green angles add with the red angle to get 180. So we basically need to solve 46+y+55 = 180 which leads to y = 79.

------------------------------

Once the diagram is set up, we'll use the law of cosines to find x.

Focus on triangle ABC. Ignore points D,E,F. Ignore any extra lines as well.

The interior angles of triangle ABC are

  • A = 46 degrees
  • B = 79 degrees
  • C = 55 degrees

The sides opposite the angles are

  • a = 483 (opposite angle A)
  • b = x (opposite angle B)
  • c = 550 (opposite angle C)

Now we can apply the law of cosines

b^2 = a^2 + c^2 - 2*a*c*cos(B)

x^2 = 483^2 + 550^2 - 2*483*550*cos(79)

x^2 = 434412.180756441

x = sqrt(434412.180756441)

x = 659.099522649229

x = 659

Side AC, or CA, is roughly 659 miles long.

------------

To find the total distance the plane travels, we add up the three sides of the triangle (ie we find the perimeter)

Distance Traveled = AB + BC + CA

Distance Traveled = 550 + 483 + 659

Distance Traveled = 1692 miles

3 0
2 years ago
Why is -9an acceptable answer to the equation x2=81 ?
Arte-miy333 [17]

Answer:

X=9 or x=-9

Step-by-step explanation:

X^2=81

Can be written as

x^2-81=0

Factorize by the property:

a^2-b^2=(a-b)(a+b)

So the expression becomes:

(x-9)(x+9)=0

Therefore, either x-9=0or x+9=0

Then the solutions are x=9 or x=-9

8 0
3 years ago
Read 2 more answers
The perimeter of a picture frame is 68 inches. The difference between the length of the frame and th
Julli [10]

Answer:

L - W = 2 and 2L + 2W = 68

Step-by-step explanation:

The two equations here are going to be-

Length minus width equals 2

L - W = 2

And

Length x 2 + Width x 2 = 68

2L + 2W = 68

6 0
2 years ago
Other questions:
  • A television game has 6 shows doors, of which the contests must pick 2. behind two of the doors are expensive cars, and behind t
    14·1 answer
  • How do I get the answer y= 2x^2+9x-5
    9·1 answer
  • What is the y-intercept of the quadratic y=-2x^2-4x-5 ?<br> (-5,0)<br> (0,-2)<br> (-1,3)<br> (0,-5)
    5·1 answer
  • How to solve 12x=-24
    5·2 answers
  • PLEASE HELP I NEED TO PASS.Put the following equation into function notation select all answers that are possible
    7·1 answer
  • Evaluate 4(5 - 8) - 7
    7·1 answer
  • Write 5.712 × 10–^8 without exponents
    15·1 answer
  • Last month, there were 4 sunny days for every rainy day. If there were 30 days in the month, how many days were rainy? Explain y
    8·1 answer
  • Which triangle is similar to triangle T
    10·1 answer
  • 31-62=152+2-6(3+21) i need the answer to this please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!