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2 years ago

The store has 28 notebooks in pack of 4. Three packs of notebooks are sold. How many packs of notebooks are left?

Mathematics

2 answers:

IRISSAK [1]2 years ago

7 0

28/4 = 7 packs of notebokks total

7-3 = 4 packs are left

kupik [55]2 years ago

7 0

1 pack of notebooks of notebooks are left

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A building makes a 90° angle with the ground. A ladder leans against the building, making a 110° exterior angle with the ground.

liberstina [14]

<u>Answer:</u>

A building makes a $90^{\circ}$ angle with the ground .The two interior angles are $70^{\circ}$ and $20^{\circ}$

<u>Solution: </u>

Given, a ladder which is against the building wall makes an exterior angle of $110^{\circ}$

And building makes a $90^{\circ}$ angle with the ground.

So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.

Now, we know that, sum of exterior angles and interior angles equals to $180^{\circ}$

Here, in the case of ground and ladder, exterior angle is $110^{\circ}$ and interior angle is unknown.

Exterior angle + interior angle = 180

110 + interior angle = 180

Interior angle = 180 – 110

Interior angle = $70^{\circ}$

We have found one of the two interior angles of right angle triangle.

We know that, sum of angles in a triangle is 180 degree

Known Interior angle + unknown interior angle + right angle = 180

70 + unknown interior angle + 90 = 180

Unknown interior angle + 160 = 180

Unknown interior angle = 180 - 160

Unknown interior angle = $20^{\circ}$

Hence the two interior angles are $70^{\circ}$ and $20^{\circ}$

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3 years ago

Consider the accompanying matrix as the augmented matrix of a linear system. State in words the next two elementary row operatio

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Answer:

The answer is below

Step-by-step explanation:

The next step to solve the system, would be to divide the second row by 3 and we would be left with: 3 * R2

[1 -5 3 0 -2

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Then what we will do is multiply row 3 by 7/3 and then subtract it from row 2, that is, R2 - 7/3 * R3, and it would look like this:

[1 -5 3 0 -2

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set your equasion to 9/7 = 108/x .solve the equasion and you get 84 for x

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