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Dvinal [7]
2 years ago
6

Evaluate the expression using substitution ( m=3, y =-5) 5m + 3y/5 + 4( m-y)

Mathematics
1 answer:
sdas [7]2 years ago
6 0

Answer:

44

Step-by-step explanation:

5(3) +3(-5)/5 +4(3--5)

15 + -15/5 +4(8)

15 -3 +32

12+32

44

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Homework - Pure Year 1 - Chapter 11B
ycow [4]

Answer:

|F net| = 20.22 N

θ ≈ 19.8°

Step-by-step explanation:

F net = 15N i + 8cos(60°)N i + 8sin(60°)N j

= 15N i + 8×½N i + 8×√3/2N j

= 15N i + 4N i + 4√3N j

= 19N i + 4√3N j

|F net| = √(19²+(4√3)²) = √(361+48) = √409 ≈ 20.22N

tan(θ) = 4√3 ÷ 19 ≈ 0.36 → θ ≈ arctan(0.36) = 19.8°

5 0
2 years ago
n the figure below, A, B, and C represent the areas of the squares with side lengths a, b, and c, respectively. If B = 441 squar
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Solve the system, or show that it has no solution. (If there is no solution, enter NO SOLUTION. If there are an infinite number
liberstina [14]

Answer:

The system has an infinite set of solutions (x,y) = (x, \frac{x-5}{4})

Step-by-step explanation:

From the first equation:

20x - 80y = 100

20x = 100 + 80y

x = \frac{100 + 80y}{20}

x = 5 + 4y

Replacing on the second equation:

-14x + 56y = -70

-14(5 + 4y) + 56y = -70

-70 - 56y + 56y = -70

0 = 0

This means that the system has an infinite number of solutions, considering:

x = 5 + 4y

4y = x - 5

y = \frac{x - 5}{4}

The system has an infinite set of solutions (x,y) = (x, \frac{x-5}{4})

8 0
3 years ago
In triangle ABC, angle A is 75o and angle B is 20o. Select the triangle that is similar to triangle ABC.
Arturiano [62]

Answer:

A. \triangleDEF where \angle D = 75^{\circ} and \angle E = 20^{\circ}.

Step-by-step explanation:

At first we must keep in mind that two triangles are similar when they have same angle configuration, that is, each pair of angles is congruent. If \triangleABC and \triangleDEF, then \angle A \equiv \angle D and \angle B \equiv \angle E. Hence, \angle D = 75^{\circ} and \angle E = 20^{\circ}.

In a nutshell, correct answer is A.

4 0
3 years ago
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