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natka813 [3]
2 years ago
5

Shape equation puzzle 1

Mathematics
2 answers:
Oxana [17]2 years ago
6 0
Triangle = 3
square = -2
star = 7
galben [10]2 years ago
3 0
Triange 3
Square -2
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Okay I been on these 2 questions for about 30 min and I can't figure it out.
blsea [12.9K]
For #1 you have one leg of a right triangle measuring 4000 (the height of the mountain) and the other leg is 3000 (the distance that Mario is from Jenna). The angle of elevation is the one on the base of the triangle across from the right angle.  To find the measure of the angle, use the tangent ratio: tan(A)=4000/3000, which could be simplified to tanA = 4/3. Do that on your calculator using the inverse tangent function to get that the angle of elevation from Mario to Jenna is 53 degrees.
For #2 you have another right triangle situation where the length of the hypotenuse is 20 and the base leg is 10. You are finding again the base angle across from the right angle. Use the cosA=10/20, aka cosA=.5. Again use the inverse cos function on your calculator to find the angle in question is 60 degrees.
5 0
3 years ago
A riverboat travels 54 km downstream in 2 hours. It travels 57 km upstream in 3 hours. Find the speed of the boat and the speed
irakobra [83]

Here we must write and solve a system of equations to find the speed of the boat and the speed of the stream. We will find that the boat's speed is 23km/h and the river's speed is 4km/h.

First, remember the relation:

Distance = Speed*Time.

Now let's define the variables we will be using:

  • B = boat's speed
  • R = river's speed.

When the boat travels downstream, the total speed of the boat is the speed of the boat plus the speed of the river, and we know that in that case it travels 54km in 2 hours, then:

54km = (B + R)*2h

When the boat travels upstream, we must subtract the speed of the river. In that case, we know that the boat travels 57km in 3 hours, then we have:

57km = (B - R)*3h

Then our system of equations is:

54km = (B + R)*2h

57km = (B - R)*3h

To solve this, first, we need to isolate one of the variables in one of the equations, let's isolate B in the second one:

57km = (B - R)*3h

57km/3h + R = B

19 km/h + R = B

Now we can replace that in the other equation:

54km = (B + R)*2h

54km/2h = B + R

27 km/h = B + R = (19 km/h + R) + R

Now we can solve this for R:

27 km/h = 19km/h + 2*R

27 km/h - 19km/h = 2*R

8 km/h = 2*R

(8km/h)/2 = 4km/h = R

Now that we know the value of R, we can use:

B = 19 km/h + R  = 19 km/h + 4km/h = 23 km/h

So the boat's speed is 23km/h and the river's speed is 4km/h.

If you want to learn more, you can read:

brainly.com/question/12895249

5 0
2 years ago
The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than
blagie [28]

Answer: 9? I’m not sure but it seems like it’s 9 as it mentions it in the problem

4 0
1 year ago
Simplify the expression. <br><br> -1/2 + 1/6
sukhopar [10]
-1/2 = -3/6

-3/6 + 1/6 = -2/6

-2/6 = -1/3

-1/3 is your answer

hope this helps
8 0
3 years ago
Omggggggggg please please help meeeeeeeeee
Lera25 [3.4K]

Answer:

9

Step-by-step explanation:

9-7= 2

2<3

8 0
2 years ago
Read 2 more answers
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