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3 years ago

10 POINST!!! What is the area of quadrilateral QRST if QS=18 and RT=24? Show your work.

Mathematics

1 answer:

Allisa [31]3 years ago

6 0

Answer:

area= 1/2 × d1 ×d2

d = diagonal

area= 1/2 ×24×18 =216 unit^2

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The price of a house is originally listed at $205,000. The owners are having a hard time selling it and decide to reduce the pri

VARVARA [1.3K]

Answer:

The percentage decrease is 27%

Step-by-step explanation:

To find the percent decrease, first find the difference in the two costs.

$205,000 - $149,650 = $55,350

Now divide that number by the original cost.

$55,350/$205,000 = 27%

3 0

4 years ago

1) El ritmo cardíaco de un gato ( en latidos por minuto) es función lineal de su temperatura corporal (en grados Celsius). En co

olga55 [171]

Answer:

$y=10x-170$

Step-by-step explanation:

This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).

Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.

First, let's find the constant ratio of change.

$m=\frac{150-200}{32-37}=\frac{-50}{-5}=10$

This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.

Now, we use the point slope formula to find the equation

$y-y_{1} =m(x-x_{1} )\\y-150=10(x-32)\\y=10x-320+150\\y=10x-170$

Theerefore, the function that represents this situation is

$y=10x-170$

Where $x$ represents temperature and $y$ represents hearbeats.

6 0

3 years ago

Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h

ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that: x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

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7 0

1 year ago

Find the area of the quadrilateral

Aleks [24]

The area equals 612yds

6 0

3 years ago

1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182

Rom4ik [11]

Answer:

answer is attached on the photo

6 0

3 years ago