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Harrizon [31]
3 years ago
12

If a system of two inequalities has a solution, then their two half planes intersect , true or false ?

Mathematics
1 answer:
Nana76 [90]3 years ago
7 0

Answer: The answer is true.


Step-by-step explanation:  The given statement is

'If a system of two inequalities has a solution, then their two half planes intersect'.

We are to check whether the statement is true or false.

Let a system of two inequalities be

x+y\geq 3,\\\\2x+5y\leq 10.

These inequalities has a solution, for example, x = 2, y = 1.

Plotting these inequalities on a graph paper (please see the attached graph), we see that the two half planes intersect, which is represented by the double shaded region in the graph.

Thus, the given statement is TRUE.

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What is the surface area of the regular pyramid given below?
yuradex [85]

For this case we have by definition, that the total surface area of a regular pyramid with a square base is given by:

SA = \frac {1} {2} p * S + A_ {b}

Where:

p: It is the perimeter of the base

S: It's the inclination

A_ {b}: It is the area of the base

Substituting:

A_ {b} = 7 ^ 2 = 49units ^ 2\\p = 7 + 7 + 7 + 7 = 28units\\S = 10units\\SA = \frac {1} {2} 28 * 10 + 49\\SA = 140 + 49\\SA = 189 \ units ^ 2

ANswer:

Option B

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3 years ago
What is the perimeter of this shape? Use numbers only.
aniked [119]

Answer:

30 m

Step-by-step explanation:

You simply add the lengths of all the sides. 3 m is not needed for this.

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3 years ago
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The probability of getting a head when a biased coin is tossed is . The coin is tossed three times. Find the following probabili
S_A_V [24]

Answer:

a) P(three tails) = \frac{1}{8}

b) P(two tails followed by one head) = \frac{1}{8}

Step-by-step explanation:

coin is tossed three times so, outcome is

HHH, TTT, HTH, THH, HHT, THT, TTH, HTT.

Hence sample space will be

S = {HHH, TTT, HTH, THH, HHT, THT, TTH, HTT}

chance of getting three tails is '1' i.e. TTT

hence,

P(three tails) = \frac{1}{8}

two tails followed by one head is TTH

so, chance of getting that outcome is also '1'

hence,

P(two tails followed by one head) = \frac{1}{8}

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3 years ago
A tank containing 2.85 cube of oil how many bottles of 300 ml capacity can be filled out of it​
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Answer:

9,500 bottles.

Step-by-step explanation:

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We can convert (2.85 cubic meter) to (milli liters) as

1 cubic meter = 1000000 milli liters

2.85 cubic meter = X milli liters

If we Cross multiply and find X, we have

X milli liters = [(2.85 cubic meter × 1000000 milli liters) ] / 1 cubic meter

X= 2850,000 milli liters

Then (2.85 cubic meter) will be equal to ( 2850,000 milli liters)

Capacity of the Bottle = 300 ml

Number of bottles that 300 ml capacity can be filled out of it =

(2850,000 milli liters) / (300 ml)

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8 0
3 years ago
Help need to do this by tomorrow
Nuetrik [128]

Answer:

42 degrees

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