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pogonyaev
2 years ago
13

Charlie had a full bottle of water. He drank 1/4 of the water in the morning. He drank 2/5 of the water with lunch. How much of

the water does Charlie have left?
Mathematics
1 answer:
12345 [234]2 years ago
3 0

Answer:

7/20

Step-by-step explanation:

first of all you have to put the two fractions on the same denominators

1/4 (multiply by 5) and you will get 5/20

2/5(multiply by 4) and you will get 8/20

we have to add 5/20 and 8/20 that gives us 13/20

13/20 is the amount he drank

20/20 - 13/20 =7/20

7/20 is the amount of water left that Charlie has left

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4 0
3 years ago
a triangle with vertices at A (-1,1), B(-2,1) C(-1,4) is translated. the image of vertex A has coordinate at (3,-1) determine th
Drupady [299]
For this case we have the following vertices:
 A (-1,1) --------> A '(3, -1)
 B (-2.1)
 C (-1,4)
 We note that the translation rule is:
 (x, y) -----------> (x + 4, y-2)
 Applying the translacion rule we have:
 B (-2, 1) -----------> (-2 + 4, 1-2) ------> B '(2, -1)
 C (-1, 4) -----------> (-1 + 4, 4-2) ------> C '(3, 2)
 Answer:
 
The image of vertex B or the image of Vertex C are:
 
B '(2, -1)
 
C '(3, 2)
7 0
3 years ago
14 Type the correct answer in each box. Use numerals instead of words. a Ava, Lucas, and Maria are playing a game where they pas
jeka94

Answer:

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

Step-by-step explanation:

The cosine and tangent functions are useful here. The relevant relations are ...

  Cos = Adjacent/Hypotenuse

  Tan = Opposite/Adjacent

__

The distance from Maria to Ava (ma) is the hypotenuse of the triangle, so we have ...

  cos(40°) = 12/ma

  ma = 12/cos(40°) ≈ 12/0.76604 ≈ 15.7 . . . feet

__

The distance from Lucas to Maria (ml) is the side opposite the given angle, so we have ...

  tan(40°) = ml/12

  ml = 12·tan(40°) ≈ 12·0.83910 ≈ 10.1 . . . feet

__

The angle formed at Maria's position is the complement of the other acute angle in the right triangle:

  M = 90° -40° = 50°

In summary, ...

  • Maria–Ava: 15.7 feet
  • Lucas–Maria: 10.1 feet
  • angle at Maria: 50°

5 0
2 years ago
Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4
Debora [2.8K]

Given :

Three roots , \sqrt{7},\ -\sqrt{7},\ -4 .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0

Therefore, the cubic function of given zeroes is x^3+4x^2-7x-28=0.

Hence, this is the required solution.

6 0
3 years ago
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