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podryga [215]
3 years ago
6

Can you answer this? factorise 6p + 24q

Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

6(p+4q)

Step-by-step explanation:

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5. Patricia is on the edge of the top of a mountain and notices that a kayak on the lake is 30 meters
zhuklara [117]

The distance from the kayak to the mountain to the nearest whole number is 43 meters.

The situation will form a right angle triangle as shown below in the diagram.

<h3>Properties of a right angle triangle:</h3>
  • One of its angle is 90 degrees.
  • The sides and angle can be found by using trigonometric ratios.

The height(opposite side) of the triangle is the kayak distance from the mountain to the lake below. The distance from the kayak to the mountain is the adjacent side of the triangle.

Therefore, using trigonometric ratios,

tan 35 = opposite / adjacent

tan 35° = 30 / a

a = 30 / tan 35°

a = 30 / 0.70020753821

a = 42.8444402023

a = 42.84 meters

a ≈ 43 meters

learn more on the angle of depression: brainly.com/question/13969247?referrer=searchResults

8 0
2 years ago
[Systems of equations] (/20) 1. Suppose the coefficient matrix of a system of linear equations has a pivot position in every row
Marina86 [1]

Answer:

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Step-by-step explanation:

It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.

It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only  the column in the rightmost of the matrix which is augmented is not a pivot column.

When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.

For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].

6 0
3 years ago
Is (2,7) a point on the line y=4x-3?<br><br>YES OR NO?
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Answer:

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3 years ago
Helpppppppp fast......
nadya68 [22]

1/2

count all outcomes that have at least 2 H's

which is 4. There is a total amount of outcomes is 8.

There is 4/8 chance you will flip at least 2 heads

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2 years ago
What are two forms of expanded notation 0.58 using fractions
victus00 [196]

Answer:

Step-by-step explanation:

Don’t know

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3 years ago
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