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Mekhanik [1.2K]
3 years ago
12

-3/5 x = 6what is x ? ​

Mathematics
2 answers:
SOVA2 [1]3 years ago
7 0
Multiply both sides by -5/3.
X= 6 times -5/3
X= -10
algol133 years ago
5 0
Multiply both sides by -5/3
X= 6 times -5/3
X= -10
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If a = pi +3j - 7k, b = pi - pj +4k and the angle between a and is acute then the possible values for p are given by​
PIT_PIT [208]

Answer:

The family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

Step-by-step explanation:

By Linear Algebra, we can calculate the angle by definition of dot product:

\cos \theta = \frac{\vec a\,\bullet\,\vec b}{\|\vec a\|\cdot \|\vec b\|} (1)

Where:

\theta - Angle between vectors, in sexagesimal degrees.

\|\vec a\|, \|\vec b \| - Norms of vectors \vec {a} and \vec{b}

If \theta is acute, then the cosine function is bounded between 0 a 1 and if we know that \vec {a} = (p, 3, -7) and \vec {b} = (p, -p, 4), then the possible values for p are:

Minimum (\cos \theta = 0)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} > 0

Maximum (\cos \theta = 1)

\frac{p^{2}-3\cdot p -28}{\sqrt{p^{2}+58}\cdot \sqrt{2\cdot p^{2}+16}} < 1

With the help of a graphing tool we get the family of possible values for p are:

(-\infty, -4) \,\cup \,(7, +\infty)

7 0
3 years ago
The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order?
ki77a [65]

Answer:

A. 58, 13,-35,-51

Step-by-step explanation:

Start with the greatest positive number, 58. Then use the next greatest positive number, 13. When it comes to negative numbers, the number with the smaller absolute value is greater.

|-35| = 35

|-53| = 53

-35 has a smaller absolute value than -53, so -35 is greater than -53.

Answer: A. 58, 13,-35,-51

7 0
3 years ago
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I’m dumb so I need help
vitfil [10]
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5 0
3 years ago
The volume of a cylinder is 1.54 litre. If the height is 20 cm ​
11111nata11111 [884]

Answer:

Radius = 4.95 cm

Step-by-step explanation:

I am assuming you need the radius of the base of the cylinder.

Volume = 1.54 * 1000 = 1540 cm^3

Volume = πr^2h so:

1540 =  π*r^2*20

r^2 = 1540/20 π = 24.510

r = 4.95 cm.

5 0
3 years ago
Read 2 more answers
The school cafeteria ordered 42 boxes of pasta. Each box contained 24 ounces. Drag numbers from the box to write two different e
Goshia [24]

Answer:

Boxes = 1008oz

Step-by-step explanation:

Given

Boxes = 42

1\ box = 24oz

Required

Determine the number of ounces ordered

The question is incomplete, as the numbers to drag are not given. However, the alternate solution is as follows:

Boxes = 42\ boxes

This can be rewritten as:

Boxes = 42 * 1\ box

Substitute 24oz for 1 box

Boxes = 42 * 24oz

Boxes = 1008oz

<em>Hence, a total of 1008 ounces were ordered</em>

5 0
3 years ago
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