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NikAS [45]
2 years ago
7

Alex draws a diagonal in a rectangle that is 4 inches long and 3 inches wide. What is the area of one of two triangles that are

formed?
Mathematics
1 answer:
sukhopar [10]2 years ago
8 0

Answer:

3.975 square inches

Step-by-step explanation:

Step 1

We find the length of the triangle

We solve using Pythagoras Theorem

Diagonal² = Length² + Width²

Diagonal = 4 inches

Width = 3 inches

Length² = Diagonal² - Width²

Length = √Diagonal² - Width²

Length = √4² - 3²

Length = √16 - 9

Length = √(7)

Length = 2.6457513111 inches

Length = 2.65 inches

Step 2

Area of Triangle = 1/2 × Base × Height

Base = Length = 2.65 inches

Height = Width = 3 inches

=1/2 × 2.65 inches × 3 inches

= 3.975 square inches

Therefore, the area of one of the triangles that are formed is 3.975 square inches

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Find the circumference and the area of a circle with radius 3 m.
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Answer:

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\boxed {a=28.26 \ m^2}

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

<h3>1. Circumference </h3>

The circumference is the perimeter of a circle. It is calculated using the following formula:

c= \pi d

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

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The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

c= (3.14)(6 \ m )

Multiply.

\bold {c= 18.84 \ m}

<h3>2. Area </h3>

The area is the size of the circle's surface. It is calculated using the following formula.

a= \pi r^2

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

a= (3.14)(3 \ m)^2

Solve the exponent.

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a= (3.14)(9 \ m)^2

\bold {a=28.26 \ m^2}

The circumference is 18.84 meters and the area is 28.26 square meters.

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Complete the following statement given: QXR=NYC a.QX= ? b. Y=?
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Answer:

                                                                                                                 

Step-by-step explanation:

                                                                                                                                           

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3 years ago
Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating.
hjlf
Given that o<span>ne Friday night, Roman and Malou are busy studying for their Logic exam. Meanwhile, Hadji just tweeted a picture of himself eating crispy pata and sisig. Jeff is sound asleep in his dorm room.

Part A:

The truth value of </span>"Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

<span>Roman has a date with Malou is True
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<span>Jeff is sleeping is True
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Thus, the truth value of "True" or "True" or "True" is True.

Therefore, the truth value of "</span><span>Either Roman has a date with Malou, or Jeff is sleeping or Hadji is eating." is True.



Part B:

</span>The truth value of "Either Jeff is sleeping or Hadji is not eating" is obtained as follows:

From the scenario, the truth value of the individual statements are as follows:

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Thus, the truth value of "True" or "False" is True.</span>

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Part C:

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From the scenario, the truth value of the individual statements are as follows:

Roman and Malou are on a date is True

<span>Jeff is sleeping is True
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<span>Hadji is not eating is False

The truth value of "True" and "True" is True.
The truth value of "True" or "False" is True.

Thus, the truth value of ("True" and "True") or "False" is True.
</span>
Therefore, the truth value of "Roman and Malou are on a date and Jeff is sleeping, or Hadji is not eating." is True.
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