Find the area. Use Pi = 3.14 a. 15.1976 cm2 c. 13.816 cm2 b. 6.908 cm2 d. 60.7904 cm2

Formula is an act or rule that uses mathematical symbols.

Equations, equalities, identities and inequalities are a few examples of formula.

An equation, also known as an equality, formula, or identity, is a mathematical phrase that states that two or more quantities are equal to one another.

A declaration of the mathematical equivalence of two quantities. The similarity A=B signifies that "A is equal to B."

A mathematical relationship that equalizes one quantity to another is known as an identity (which may initially appear to be different).

A proof in mathematics that one quantity is bigger or smaller than another A>b is used to indicate "A is bigger than B," whereas A<B is used to indicate "A is smaller than B." The symbols A<=B and A>=B stand for "A is less than or equal to" and "A is greater than or equal to B" respectively. The terms "A is much less than B" and "A is much more than B," respectively, are denoted by the symbols A<<B and A>>B.

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Answer:

2 degrees c

Step-by-step explanation: It's 5 degrees when it's 50 miles, simplify that and you get 1 degree c when it's 10 miles, so 1 times 2 is 20 and 1 times 2 is 2

Therefore , the solution of the given pentagon is the wall has a square footage of 80.7293. Asher requires four cans in total.

A polygon with five sides and five angles is called a pentagon. Penta and Gonia, two words that each denote five angles, are the components of the word "pentagon." The shape is created when the sides of such a pentagon come together at their ends.

Here,

Given that a storage shed's wall has a pentagonal shape.

A pentagon's surface can be separated into two shapes. The first shape is a rectangle, while the second is a triangle.

The rectangular shape measures 1+1+1 = 3 meters in length.

(1 + 1) = 2 metres is the width.

3 x 2 = 6 square meters make up the space of the rectangle.

Three meters make up the triangle's base.

The triangle measures 1 meter in height.

The triangle's area is 1/2 base, 1/2 height, or 1/2 x 3-1, or 3/2 square meters.

The pentagon's total area is 7.5 square meters, or 6 + 3/2 square meters.

10.7639 square feet are equal to 1 square meter.

(7.5 x 10.7639) square feet are equal to 7.5 square meters.

= 80.7293 square meters

24 square feet are covered by one can of paint.

He requires 80.7293/24 = 3.36 square feet in order to cover it.

Therefore, he requires a minimum of 4 cans oil paint.

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The speed of wave pulses on the rope remains the same when the tension in a taut rope is increased by a factor of 9 and the linear density is decreased by a factor of 9.

The speed of wave pulses on a rope is determined by the tension and the linear density of the rope. The wave speed is given by the equation v = √(T/μ), where v is the wave speed, T is the tension in the rope, and μ is the linear density of the rope.

In this scenario, the tension in the rope is increased by a factor of 9. Since the wave speed is directly proportional to the square root of the tension, increasing the tension by a factor of 9 would result in an increase in the wave speed by a factor of √9, which is 3. However, simultaneously, the linear density of the rope is decreased by a factor of 9. The wave speed is inversely proportional to the square root of the linear density, so decreasing the linear density by a factor of 9 would result in a decrease in the wave speed by a factor of √(1/9), which is 1/3.

The increase in tension and decrease in linear density have opposite effects on the wave speed, with one increasing it and the other decreasing it. Since these effects cancel each other out, the net result is that the speed of wave pulses on the rope remains unchanged. Therefore, the correct answer is that the speed remains the same

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Answer:

$1,800

Step-by-step explanation:

We know that Tamara invested $15,000 and gets %4 of it each year, She plans to withdraw all the money by the end of 3 years.

4 percent of 15,000 is 600

So we can multiply 600 by three and add it to the 15,000

That gives us 16,800

So Tamara will make a $1,800 interest

Answer:

180

Step-by-step explanation:

5×+36 is 180

hope this helps !!?

Answer:

x = 7.2

Step-by-step explanation:

First we write down the equation

5x + 36

In order to find what x equals we will need to isolate the variable. To do this we divide the variable by 5.

This gets us...

x = 7.2

Sorry if you didn't need to find what x equaled.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

Function is a type of relation, or rule, that maps one input to specific single output.

The function f(x) is defined as:

→ f(x)= 80x* 2 + 640 - 400x - 52

We need the degree and the leading coefficient to determine the behavior.

Since our leading coefficients has a leading even degree of 5, and a positive number,

The function will Rises to the left and falls to the right.

The end behavior will be as x approaches infinity, and negative infinity, f(x) approaches infinity.

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Answer:

9

Step-by-step explanation:

i can not really tell what letters are on the picture but i think it is 9

Answer:

see image...

start with Graphing Form: y = a(x-h)²+ k

knowing that h is the x value (negative of it)  of the vertex , and k is the y value of the vertex

Graphing Form Equation: y =  a(x+3)²+32

you are also given that when the x value is 5 the y value has to be 0

0 = a(4)^2 + 32

a has to be - 1/2    

Step-by-step explanation:

Answer:

x=-18

Step-by-step explanation:

Answer:

The answer is -18

Step-by-step explanation:

STEP 1:

\(3 \times \frac{2}{3} (x + 6) = 3( - 8)\)

2(x+6) = -24

______________________________________

STEP 2:

Divide both sides by 2:

\( \frac{2(x + 6)}{2} = \frac{ - 24}{2} \)

________________________________

STEP 3:

Simplify:

\(x + 6 = - 12\)

Subtract 6 from both sides:

\(x + 6 - 6 = - 12 - 6\)

________________________________

STEP 4:

\(x = - 18\)

Therefore, your answer is -18.

Ask more questions if you don’t understand! :)

Answer:

CT = 12

Step-by-step explanation:

CA = 2

AT =10

CT = CA + AT

=12

Answer:

CT = 12

Step-by-step explanation:

CT = CA + AT = 2 + 10 = 12

Answer:

100 days

Step-by-step explanation:

the doctor works 5 hrs per day, which means 20 patients per day, in 100 days he will be able to treat 2000 patients

Answer:

c:88

Step-by-step explanation:

The angle that measures 92 degrees and the angle with the question mark are supplementary angles which mean their sums make up 180 degrees because they are on a line. So 180 degrees - 92 degrees = 88 degrees.

EXPLANATION:

To know when a pair of triangles are congruent we must know the following:

-They must be the same length on all sides, and they must have the same measurement at their internal angles.

ANSWER:

Therefore the answer is A;the two triangles have the same measure on their sides and internal angles.(JKL ,ABC)

The radii and the centers are explained below.

Given that are equations of circles we need to find the center and the radius of each circle.

1) x² + 6x + y² - 4y = -9

x² + 2·3·x + y² - 2·2·y = -9

Add 13 to both side,

x² + 2·3·x + y² - 2·2·y + 13 = -9 + 13

x² + 2·3·x + y² - 2·2·y + 9 + 4 = 4

(x+3)² + (y-2)² = 4

The center = (-3, 2) and the radius = 2

2) x² + 10x + y² - 8y = -31

x² + 2·5·x + y² - 2·4·y = -31

Add 41 to both sides,

x² + 2·5·x + y² - 2·4·y + 41 = -31 + 41

x² + 2·5·x + y² - 2·4·y + 25 + 16 = 10

(x+5)² + (y-4)² = 10

The center = (-5, 4) and the radius = √10

3) x² - 2x + y² + 4y -11 = 0

x² - 2x + y² + 4y = 11

x² - 2·1·x + y² - 2·2·y = 11

Add 5 to both sides,

x² - 2·1·x + y² - 2·2·y + 5 = 11 + 5

x² - 2·1·x + y² - 2·2·y + 4 + 1 = 16

(x-1)² + (y-2)² = 4²

The center = (1, 2) and the radius = 4

4) x² + 9x + y² = 0

\(\left(x-\left(-\frac{9}{2}\right)\right)^2+\left(y-0\right)^2=\left(\frac{9}{2}\right)^2\)

The center = (-9/2, 0) and the radius = 9/2

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No a subspace of a finite dimensional vector space cannot be an infinite dimensional vector space

This is due to the fact that a subspace is a subset of a larger vector space and must have the same dimension as its parent vector space. In other words we can say that, if the parent vector space is finite dimensions,then the subspace must be as well.

To put it in another way, a vector space is finite dimensional if it can be traversed by a limited number of vectors. A subspace can only be spanned by a subset of the vectors that span the parent vector space since it is a subset of a larger vector space. As a result, if the parent vector space has finite dimensions, the subspace must be as well.

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Answer:

5.32255ft

Step-by-step explanation:

A

π=89

π

Answer:

5.3

Step-by-step explanation:

The equation is A=πr²

The area is 89 so 89=πr²

89/π=r²

√89/π =r

r=5.322554

Answers:

If the value of a is less than zero then the parabola is open downward. Then the correct option is C.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

A quadratic function f is given by f(x) = ax2 + bx + c where a is not 0.

a. The y-intercept of the graph is at (0,c). This is incorrect.

b. The graph has an x-intercept at (c,0). This is incorrect.

c. When a < 0 the graph is open downward. This is correct.

d. The graph has two x-intercepts. This is incorrect.

e. If b = 0, then the vertex is on the y-axis. This is incorrect.

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Answer:

How does the number trick work?

Trick 1: Think of a number

Pick a whole number between 1 and 10.

Add 2.

Multiply by 2.

Subtract 2.

Divide by 2.

Subtract your original number.

Everyone's final answer will be 1.

Step-by-step explanation:

The Number 5 Trick. Ask somebody to think of a number and keep it secret. Then ask that person to double the secret number and then multiply by 5. Ask for the total. Whatever the total is, knock off the last digit and you will have the secret number the person mentally chose at the start.

LEMMEBE HONEST

I HAVE NO IDEAAAA

“Think-of-a-number” tricks

These tricks come in two types: Think of a number (but don't tell me), do some arithmetic with that number, and I can predict your result. Think of a number, do some arithmetic, tell me your result, and I can instantly say what number you started with.

Hope this helps!

Sending U good luck!

The theoretical probability of getting a blue color is 1/4.

The experimental probability of landing a blue color is 35%.

Option A is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of times the blue color is recorded = 7

The total number of times each color is recorded = 20

Now,

Number of sections = 4

Number of blue sections = 1

So,

The theoretical probability of getting a blue color.

= 1/4

Now,

Experimental probability of landing a blue color.

= 7/20

= 7/20 x 100

= 35%

Thus,

Theoretical probability of getting a blue color is 1/4.

Experimental probability of landing a blue color is 35%.

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Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

The antiderivative of 7ex is 7ex, and the antiderivative of 6 sec2(x) is 6 tan(x). Thus, the most general antiderivative is F(x) = 7ex + 6 tan(x) + C, where C represents the constant of integration.

To find the antiderivative of the given function f(x) = 7ex 6 sec2(x), we integrate each term separately. The antiderivative of 7ex is simply 7ex, as the exponential function ex is its own antiderivative.

Next, we consider the antiderivative of 6 sec2(x). The derivative of the tangent function tan(x) is sec2(x), so the antiderivative of sec2(x) is tan(x). However, there is a coefficient of 6 in front of sec2(x), so the antiderivative becomes 6 tan(x).

Combining these results, we have F(x) = 7ex + 6 tan(x) as the antiderivative of the original function f(x) = 7ex 6 sec2(x). The "+ C" at the end represents the constant of integration, as any constant added to the antiderivative remains undetermined. Therefore, the most general antiderivative of f(x) is F(x) = 7ex + 6 tan(x) + C, where C is a constant.

To verify this result, we can differentiate F(x) and confirm that it indeed yields the original function f(x). Taking the derivative of F(x) with respect to x will give us back 7ex 6 sec2(x), thus confirming the correctness of the antiderivative.

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For the square on the diagram, we can see that:

Remember that all the sides of a square have the same length.

Here we know that AC, the diagonal of the square, has a measure of 20 cm.

Then the length of DE, which is half of the diagonal of the square, is half of that, then:

20cm/2 = 10cm

DE = 10cm

DC is one of the sides of the square. Remember that for a square of sidelength S, the diagonal is:

D = √2*S

Then the sidelength is:

S = D/√2

Here we know that the diagonal measures 20 cm, then:

DC = S = 20cm/√2 = 14.14 cm

DC = 14.14cm

Finally, mADE refers to the measure located at the vertex D on the triangle on the angle ADE.

Remember that all the angles of a square measure 90°, and here the ray DE divides that angle in two halves, then mADE = 90°/2 = 45°

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True. For all waiting lines, P0+Pw= 1

The terms P0 and Pw refer to the probabilities of having 0 customers in the system and having customers waiting in line, respectively. Since every customer is either in the system or in the waiting line, the sum of these probabilities must equal 1. This is because there are only two possible outcomes: either a customer is being served (P0) or they are waiting in line (Pw). Therefore, the probability of one of these events occurring is 1, and the probability of the other event occurring is 0. Hence, P0 + Pw = 1.

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Answer:

headband 17.88

Wristband 9.31

Step-by-step explanation:

headband: 822.48/(43+3)

Wristband: 400.33/43

Answer:

x is equal to -3

Step-by-step explanation:

If you have a lot of problems with decimal coefficients (I know I do), you can get rid of them first.  Just multiply both sides of the equation by 10:

.3x² + 1 = .1

3x² + 10x = x

Then note that each term is also divisible by x.  If we factor that out, we get:

3x + 10 = 1

Which we can easily solve for x:

3x = -9

x = -3

The occupant load of a one room daycare that is 20' by 30' is 17 people.

The occupant load of the daycare room can be determined by using the formula:

Occupant load = Area of room / Occupant load factor

From the case, we know that the area of the room is 20' x 30', then:

Room area = 600 square feet.

The occupant load factor for a daycare is typically 35 square feet per person. This means that each person in the daycare should have at least 35 square feet of space.

Using the formula, the occupant load of the one room daycare is:

Occupant load = 600 square feet / 35 square feet per person = 17.14 people

Therefore, the occupant load of the one room daycare is 17 people. This means that the daycare can safely accommodate 17 people at one time.

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