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2 years ago

WILL GIVE BRAINLIEST!!How do identify which side is the hypotenuse of a right triangle?

1 answer:

8 0

The hypotenuse of a right triangle is always the side opposite the right angle. it is the longest side in a right triangle. the other two sides are called the opposite and adjacent sides. these sides are labeled in relation to an angle

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The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Geometry</u>

Area of a Rectangle: A = lw

l is length
w is width

<u>Calculus</u>

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle l = 10 \ meters$ <u />

<u /> $\displaystyle \frac{dl}{dt} = 4 \ m/day$ <u />

<u /> $\displaystyle w = 23 \ meters$ <u />

<u /> $\displaystyle \frac{dw}{dt} = 1 \ m/day$ <u />

<u />

<u>Step 2: Differentiate</u>

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

<u>Step 3: Solve</u>

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

the administration of community hospital is studying the activity of their cardiovascular telemetry unit, which has 12 beds. dur

hoa [83]

The required the average daily census for this period is 12.

<h3>What is Average?</h3>

A Average can be characterized as the amount of all numbers isolated by the all out number of values. A mean can be characterized as a normal of the arrangement of values in an example of information. At the end of the day, a normal is likewise called the math mean. It is known as a mean to Depict the average.

<h3 /><h3>According to question:</h3>

there were 2,200 inpatient service days.

Number of days between this period = 184 days

So, average daily census = 2200/184

11.95

⇒ 12 up to whole number.

To know more about average visit:

brainly.com/question/2906096

#SPJ4

6 0

1 year ago

PLZ HELP ASAP WILL MARK BRAINLIEST

Mkey [24]

DEF will be 2.68

EF will be .67

3 0

3 years ago

Help me pls also the answer must be a mixed number

Oksi-84 [34.3K]

Answer:

2 wholes and 5/26

Step-by-step explanation:

convert the mixed number to improper fraction

= -19/6 / -13/9

since there is 2 negatives and (-)/ (-) means your answer is positve

to divide by a fraction multiply by the reciprocal of that fraction.

19/6 x 9/13

reduce 6 and 9 to 3 and 2 becuase both have a GCF of 3.

19/2 x 3/13

multiply 19/2 x 3/13

= 57/26

= 2 wholes and 5/26

= 2.1923076

8 0

3 years ago

Write a function rule for "The output is 12 more than four times the input." Use x for the independent variable and y for the de

jasenka [17]

Answer:

f(y) = 12 + 4x

Step-by-step explanation:

Output is 12 more than 4 timea the input

The dependent variable = y

The dependent variable = x

The input is the independent variable, x

Output is the dependent variable, y

Output = 12 + (4 * input)

Hence, the function rule can be written has :

f(y) = 12 + 4x

3 0

3 years ago

WILL GIVE BRAINLIEST!!How do identify which side is the hypotenuse of a right triangle?​

WILL GIVE BRAINLIEST!!How do identify which side is the hypotenuse of a right triangle?