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timofeeve [1]
2 years ago
12

There are 120 people on the bus 50% get off at the first stop 20% get off at the second stop. The rest get off on the third stop

. How many people got off the bus at the third stop?
Mathematics
1 answer:
padilas [110]2 years ago
5 0

Answer:

36

Step-by-step explanation:

so 50% of 120 is just half of it. so that would be 60. Then 20% of 120 is 24 so subtract that from 60 and you get 36.

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Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds out he is off course and 160
elena-14-01-66 [18.8K]

CHECK THE COMPLETE QUESTION BELOW

Island A is 250 miles from island B. A ship captain travels 260 miles from island A and then finds that he is off course and 160 miles from island B. What bearing should he turn to, so he is heading straight towards island B?

A. 111.65

B. 119.84

C. 21.65

D. 135.53

Answer:

OPTION A IS CORRECT

A. 111.65

Step-by-step explanation:

This question can be explained using a triangle, let us say triangle ABD

and let us say A and B represent the islands and D is the particular point from where the captain is standing at a distance of 160 miles from B island .

We will be making use of cosines rule to calculate our angles, and we know that from cosine rule

D² = a² + b² -2abCosD

Where, a= 160 b = 260 and d = 250 then we can substitute in order to calculate our angles

250²= 60² + 260² - 2(160*260)Cos(D)

62500= 625600+ 67600- 83200CosD

83200CosD= 25600+ 67600 - 625600

83200CosD= 30700

CosD= 30700/83200

CosD= 0.369

D= cos⁻¹ (0.369)

D=68.35

Therefore, the angle inside the triangle is 68.35°

Now we can now find the bearing the captain supposed to turn , if he is heading to island B which will be the external angle of the triangle, but we know that The external angle =180°(supplimentary angles )

Then the angle he would turn will be external angle of the triangle - 68.35°

= (180 - 68.35)

= 111.65°

Therefore, the bearing the captain should turn is 111.65° for him to be heading straight towards island B.

7 0
3 years ago
What is the length of side x?
Vinil7 [7]

Answer:

x = 3

Step-by-step explanation:

In a 30-60-90 triangle the side between 60 and 90 degree angle is  a, the side between 30 and 90 degree angle is  a√3, and the hypotenuse is 2*a.

Given that the side that is supposed to be  a is currently √3, we know that the missing side x must be:

a√3    (We know that a, in this case, is √3, so substitute)

x = (√3) * (√3)

x = 3

5 0
3 years ago
The function {(-1, 2), (-2, 1), (0, 2)} has the function rule y = x + 3. HELPPPPPP
Komok [63]
Answer: True
Explanation: hope this help
7 0
3 years ago
Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2
Tasya [4]

Answer:

f(x) = x3 + 3x2 − 4x − 12

Step-by-step explanation:

A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.

(x+3)(x+2)(x-2)

(x^2 + 3x + 2x + 6)(x-2)

(x^2 + 5x + 6)(x-2)

x^3 + 5x^2 + 6x -2x^2 - 10x - 12

x^3 + 3x^2 - 4x - 12

4 0
3 years ago
A sum has five addends. Each addend is a unit fraction. The sum is 1. What are the addends?
Bogdan [553]
I would assume 1/5 is your answer. As 1/5+1/5+1/5+1/5+1/5 = 5/5 which is 1.
4 0
3 years ago
Read 2 more answers
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