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Luden [163]
3 years ago
15

Write the following expression with as few symbols as possible, using the notational conventions:

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

The simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

Step-by-step explanation:

The expressions provided are:

(i)\ x+((y\times (z')) +t)\\\\(ii)\ x\times((x+(y'))+z)

(i)

Simplify the first expression with as few symbols as possible:

x+((y\times (z')) +t)=x+(yz'+t)

                              =x+yz'+t

(ii)

Simplify the second expression with as few symbols as possible:

x\times((x+(y'))+z)=x\times ((x+y')+z)

                              =x (x+y'+z)

Thus, the simplified expressions are (<em>x</em> + <em>y·</em>z' + <em>t</em>) and <em>x·</em>(<em>x</em> + <em>y</em>' + <em>z</em>) respectively.

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Answer:

(Base x height) x 1/2

Step-by-step explanation:

We do this because a triangle is emulating a rectangle with Base x Height. However, a triangle's shape is less conventional than a standard square or rectangle, thus the division by 2.

7 0
3 years ago
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Factor the following trinomial.<br> 2x^2+11x – 21
SSSSS [86.1K]

Answer:

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3 years ago
The distance from Fort Worth to Fresno is 1,530 miles. If a cyclist maintains an average speed of 17 miles per hour, how many ho
Tju [1.3M]

The time take for the cyclist to travel from Fort Worth to Fresno is 90 \ hours

Explanation:

It is given that the distance from Fort Worth to Fresno is 1,530 miles.

The average speed of the cyclist is 17 miles per hour.

The time travelled by the cyclist can be determined using the formula,

Distance=Speed \times Time

Substituting the value of distance and speed, we get,

1530=17\times Time

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3 0
3 years ago
Can someone please help me with this problem
Serjik [45]

Answer:

1. 35

2. 145

3. 55

4. 90

5. 145

Step-by-step explanation:

1. 35: angle 1 and 2 are a linear pair (meaning it is in one line and adds to 180). Since we know angle 2 is 145, ∠1 = 180 - 145

∠1 = 35

2. 145: ∠7 = ∠2 because they are alternate angles and alternate angles are equal

3. 55: ∠7 = ∠5 + ∠4 because vertically opposite angles are equal. We know that ∠5 = 90, hence ∠4 would equal 145 - 90 = 55

4. ∠5 = 90. It is given

5. 145: ∠9 = ∠2 because they are vertically opposite

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Answer:

47.1cm

Step-by-step explanation:

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