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3 years ago

Find the missing side or angle.

Mathematics

1 answer:

Nina [5.8K]3 years ago

8 0

Answer:

$a=4.1$

Step-by-step explanation:

The Law of Cosines is given as:

$a^2=c^2+b^2-2cb\cos A$ .

Plugging in given values, we get:

$a^2=4^2+2^2-2\cdot 4 \cdot 2\cos 78^{\circ},\\a^2=16+4-16\cos 78^{\circ},\\a^2\approx \sqrt{16.673},\\a\approx \fbox{$4.1$}$ .

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If it is a rigid motion identify the type of transformation Help please

wel

A transformation is rigid if the original shape remains the same shape and size after the transformation.

Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.

Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.

Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.

Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.

Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.

Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.

7 0

3 years ago

Is 2 feet longer than 30 inches

loris [4]

1 foot is 12 inches. 2 feet is 24 inches. yea so I'd say 30 inches is definitely longer

5 0

3 years ago

If T is the midpoint of segment RS then, Segment RT is congruent to segment TS..<br> Help please!!!!

omeli [17]

Answer:

Definition of Midpoint

Step-by-step explanation:

Since T is the midpoint then it is equadistant from R to T and T to S

3 0

3 years ago

The answer is B i took the test

KATRIN_1 [288]

ur wasting ur points

6 0

3 years ago

Read 2 more answers

It is a well-known fact that 50% of the general population are rascals (P(R) = 0.5) and 50% of the general population are not ra

aleksley [76]

Answer:

The answer is D. 0.75

Step-by-step explanation:

Let call R the event that a person is rascal, RC a person is not rascal, TH a person use top hat and NTH a person don’t use top hat.

From the information on the question we have 4 options with their respective probability:

1. A person could be rascal and use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and use a top hat (0.9), then:

P(R y TH)=0.5*0.9=0.45

2. A person could be rascal and don’t use top Hat: this probability is calculate as the multiplication of the probability of be a rascal (0.5) and not use a top hat (0.9), then:

P(R y NTH)=0.5*0.1=0.05

3. A person could be not rascal and use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and use a top hat (0.3), then:

P(RC y TH)=0.5*0.3=0.15

4. A person could be not rascal and not use top Hat: this probability is calculate as the multiplication of the probability of not be a rascal (0.5) and not use a top hat (0.7), then:

P(RC y NTH)=0.5*0.7=0.35

Then the probability that a person is a rascal given that he is wearing a top hat could be written and calculate as:

$P(R/TH)=\frac{P(R y TH)}{P(TH)}$

For calculate P(TH) we need to sum all the option in which TH is involve so:

P(TH) = P(R y TH)+ P(RC y TH)

P(TH)=0.45+0.15=0.6

Replacing values on the first equation we get:

$P(R/TH)=\frac{0.45}{0.6} =0.75$

So, the probability that a person is a rascal given that he is wearing a top hat is 0.75

5 0

3 years ago