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KATRIN_1 [288]
2 years ago
5

It is now 8:59 a.m. when the bell rings at 9:01 am. Damian will be late for science class for the 3rd time this week. He must ge

t from one side of the school to the other by hurrying down 3 different hallways. He runs down the first hallway, a distance of 35.0 at a speed of 3.5 m/s. The second hallway is crowded with students and he covers its 4.80 m length at a speed of 1.20 m/s. The final hallway is empty and Damian covers its 60.0 m length at a speed of 5.00 m/s.
How long does it take him to cover the 1rst hallway? The second one? The third one?
Mathematics
1 answer:
kvv77 [185]2 years ago
4 0

Answer:

1: 10 seconds   2: 4 seconds  3: 12 seconds

Step-by-step explanation:

35.0/3.5= 10

4.80/1.20= 4

60.0/5.00= 12

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Can someone help me with this!
Stolb23 [73]

Answer:

  2.  x = 18

  3.  x = 7

  4.  missing angles are 73°

Step-by-step explanation:

The simple rules involved here are ...

  • the sum of angles of a triangle is 180°
  • angles forming a linear pair are supplementary (total 180°).

Together, these tell you that the external angle of a triangle has the same measure as the sum of the opposite internal angles. (The third angle is the supplement of the external angle.)

<u>Problem 1</u>

Work shown is correct.

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<u>Problem 2</u>

Using the above observation, ...

  (5x -11)° + (2x +20°) = (11x -63)°

  7x +9 = 11x -63 . . . . . collect terms, divide by °

  72 = 4x . . . . . . . . . . . add 63-7x

  18 = x

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<u>Problem 3</u>

The angles of an equilateral triangle are 60°, so that is the measure of the marked angle.

  9x -3 = 60

  9x = 63 . . . . . . add 3

  x = 7 . . . . . . . . .divide by 9

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<u>Problem 4</u>

You don't need to find the value of x to answer this question. The base angle of an isosceles triangle is the complement of half the apex angle. This comes from the fact that the two base angles are equal measure.

  (apex angle) + 2(base angle) = 180° . . . . sum of angles in isosceles triangle

  (1/2)(apex angle) +(base angle) = 90° . . . divide by 2

  base angle = 90° -(1/2)(apex angle) . . . . .solve for base angle

Filling in the given apex angle value, we get ...

  base angle = 90° -(1/2)(34°) = 73°

Both missing angles are 73°.

7 0
3 years ago
Suppose a company's revenue R (in dollars) from the sale of x units of its product is given by R = 260x. Suppose further that th
Arada [10]

Answer:

C(x) = R(x) - P(x)

C(x) = 260x - P(x)

Step-by-step explanation:

I think some information is missing in the question. However, symbolically, the answer for Total Cost (C(x)) = 260x - P(x), where P(x) is the profit.

Basically, we derived that from:

P(x) = C(x) - R(x).,

By making C(x) subject of formula, we have:

C(x) = R(x) - P(x)

Since, we only know the value of R = 260x, then, we have;

                            C(x) = 260x - P(x)

6 0
3 years ago
Write an inequality that represents the description then solve; Max has more than 5 carrots ( number of carrots Max has = c)
torisob [31]
If "C" is the number of carrots, then the phrase "Max has more than 5 carrots" can be written like this:

c\ \textgreater \ 5: the number of carrots that Max has is bigger than 5.

However, we can't solve it without any additional information, all we know is that c\ \textgreater \ 5
3 0
3 years ago
Roxanne is comparing the monthly payments for a new car at two different car dealerships.
andreyandreev [35.5K]

9514 1404 393

Answer:

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  B: $567.84

Step-by-step explanation:

The attached shows the formula. The graphing calculator evaluates it for the different car choices.

The monthly payment for the car from Dealership A is $563.39.

The monthly payment for the car from Dealership B is $567.84.

5 0
3 years ago
Can someone help me find the functions zeros
Amiraneli [1.4K]

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8 0
3 years ago
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