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3 years ago

M–[(m–n)÷(−2)](−5), if m=−4, n=−6

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

-9

Step-by-step explanation:

We are given the expression m–[(m–n)÷(−2)](−5). Substituting -4 for m and -6 for n, we get:

-4–[(-4 + 6)÷(−2)](−5)

We must do the work that appears inside parentheses first:

-4–[( 2 )÷(−2)](−5)

Next we must do the work that appears inside square brackets:

-4–[ -1 ](−5)

Multiplication comes next. The above expression becomes:

-4 - [ 5 ]

which in turn comes out to -9

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2 years ago

Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose

yawa3891 [41]

Answer:

$V=5\sqrt{3}\ m^3$

Step-by-step explanation:

we know that

The volume of a trough is equal to

$V=BL$

where

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L is the length of a trough

step 1

Find the area of equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

$B=\frac{1}{2} b^{2} sin(60\°)$

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substitute

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step 2

Find the volume of a trough

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3 0

3 years ago

4. Diego is thinking of two positive numbers. He says, "If we triple the first number and

aleksandr82 [10.1K]

Answer:

3x + 2y = 34. and two possible pairs of positive numbers are (x, y) = (10, 2) and (x, y) = (4, 11).

Step-by-step explanation:

Let the First positive number be x and second positive number be y.

Triple of first number = 3x

double of second number = 2y

According to question,

3x + 2y = 34

Therefore, the equation is 3x + 2y = 34

So the two possible pair of numbers Diego would be thinking of must satisfy the equation 3x + 2y = 34

Now, 3x + 2y = 34

3x = 34 - 2y

Let x = 10 and by substituting its value in above expression,

$3 \times 10 = 34 - 2y$

$30 = 34 - 2y$

$2y = 34 - 30$

$2y = 4$

$y = 2$

Therefore first pair (x, y) = (10, 2)

In the same way put x = 4 then,

3x = 34 - 2y

$3 \times 4 = 34 - 2y$

$2y = 34 - 12$

$2y = 22$

$y = 11$

Therefore first pair (x, y) = (4, 11)

Therefore, (x, y) = (4, 11) and (x, y) = (10, 2) are the two possible pairs of numbers Diego could be thinking of as these both values satisfy the equation 3x + 2y = 34.

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3 years ago