Find the area of this circle please…Use 3 for pi

EXPLANATION

Given the following operation:

3/4 - 1/2*7/8

First, let's solve 1/2*7/8:

Multiply fractions: a/b* c/d = (a*c)/(b*d)

Multiply the numbers: 1*7 = 7

Multiply the numbers 2*8=16

Now, we need the Least Common Multiplier of 4, 16:

The LCM of a, b is the samllest positive number that is divisible by both a and b:

Prime factorization of 4:

4 divides by 2 ---> 4= 2*2

2 is a primer number, therefore no further factorization is possible.

Prime factorization of 16:

Multiply each factor the greatest number of times it occurs in either 4 or 16

= 2*2*2*2

Multiply the numbers: 2*2*2*2 = 16

Adjust fractions based on LCM

For 3/4: multiply the denominator and numerator by 4

Since the denominators are equal, combine the fractions:

Subtract the numbers: 12-7 = 5

Question:

what is 5-2 squared plus 8/4:

Solution:

Notice that:

then, we can conclude that the correct answer is:

Answer:

Step-by-step explanation:

1. 5-2=3

2. 8/4=2

3. (3x3)+2

4. 9+2

5. 11

Answer:

First box: 25

Second box: 1

Third box: -0.5

Fourth box: 29

First, we will find the amplitude of the sine function.

Subtract 2π to the given angle as it is equivalent to one revolution.

Answer:

(2x-3)(x+10)

Explanation:

Given the expression 2x^2+17x-30, we are to factorize completely

2x^2+17x-30

= (2x^2+20x)-(3x-30)

Factor out the common terms

= 2x(x+10)-3(x+10)

= (2x-3)(x+10)

This gives the required factor

Given:

The doctor gave the mother of the sick baby 16 fl oz bottle of liquid medicine.

Dosage instructed to give the baby = 30 ml twice a day

a) How many tablespoon is one dose?

Using standard measurements, 1 tablespoon = 15 ml

Since 1 dose is 30 ml, the dose in tablespoon is:

1 dose is 2 tablespoons

b) Since, 30 ml is to be given 2 times daily, the ml the child will take a day is:

The child will take 60 mL a day

c) fl oz means fluid ounce

Also 1 fluid ounce is equivalent to 28.41 ml

Given:

28.41ml = 1 fl oz

60 ml =

Therefore, 60 ml = 2.11 fl oz

d) How many days will the bottle and medication last?​

To find the number of days the medication will last, we have:

Therefore, the bottle will last for approximately 8 days.

ANSWER:

a) 2 tbs

b) 60 ml

c) 2.11 fl oz

d) Approximately 8 days

From this problem let's begin with some notation: Let the man age denoted by M. With the info provided we can do this:

Son age = 27-12= 15

Finally with the condition given we can createthe following equation:

And solving for M we got:

So then basically the answer for the men age is 40 years

In order to solve this system of equations, first let's add the second equation to the first and third ones:

Now, adding the two resulting equations, we have:

So the solution for this system is x = 8, y = -9 and z = 7.

Step 1:

Write the equation

Step 2:

Write the trigonometric inverse identity

Step 3:

Substitute in the equation

Final answer

It a popular math theorem, that any natural number can be factored out into prime numbers. For example the number 24 is factored as 2³*3, so its prime factors are 2 and 3.

In this case, we want to factor 124. We start by noticing that 124 is an even number, therefore, the first prime factor we try is 2. Next, we divide 124 by 2. We get

which is again an even number. This means that we can again divide by 2. We do so

Note that 31 is a prime number. So we can't continue dividing. Then

So it has 2 different prime factors

Consider the rectangle drawn below,

Consider the properties of rectangle that the opposite sides are equal, and both the diagonals are also equal in length.

Thus, the value of 'x' is 5.

Substitute the value to obtain the diagonal QS as,

Similarly solve for the diagonal RT as,

Already we knew that the diagonal will be equal with the length 22 units.

Solution

Given the logarithmic statement below

To change the statement to an exponential statement, we apply an exponent to both sides

Simplifying the expression above gives

Hence, the exponential statement is

Answer:

18m2

Step-by-step explanation:

Answer

x = -27

Explanation

x = 6 (x/2 + 9)

x = 3x + 54

x - 3x = 54

-2x = 54

Divide both sides by -2

(-2x/-2) = (54/-2)

x = -27

Hope this Helps!!!

1.

Part a) G(x) is still a function because it's the inverse function of f(x).

part b)

f(g(4)).

FIrst step for this is to find g(4) which is:

Part c)

Now, to find the equation of the tangent line we have to find the slope, which is the derivative, because the derivative is the slope of the tangent line at a given x-value

But they ask for the g function, in this case:

So, the derivative in f(x)= 7 is -4.5

So, the equation is:

We have that the measurement of three angles of a triangle is:

1. Angle 1: 2x degrees.

2. Angle 2: 3x degrees.

3. Angle 3: (x+30) degrees.

We know that the sum of the internal angles of a triangle is equal to 180.

Therefore, to find the value of x, we can proceed as follows:

Now, we can add the like terms as follows:

We can subtract 30 degrees to both sides of the equation, and then we have to divide both sides by 6:

Therefore, in summary, the value for x is equal to 25.

The simple interest formula is :

where A is the future amount

P is the principal amount

r is the rate of interest

and

t is the time in years

From the problem, we have :

P = $21,370

r = 10% or 0.10

t = 171 days or 171/365 year

Using the formula above :

The answer is $22,371.17

Explanation

We are given that Meagan earned $550 at her job in 4 weeks.

We are required to find how many weeks it would take her to make $5000.

First, we need to find the rate at which she works per week as follows:

To determine how many weeks it would take her to earn $5000, we need to divide the amount earned after x weeks by the rate as follows:

Hence, the answer is 36.36363636 weeks.

Let X be the number of customers satisfied

Given:

Sample size (n) = 7

The probability that a customer is very satisfied = 0.95

The probability distribution function for a binomial distribution is:

(a) Probability that exactly 6 customers are satisfied

The probability that exactly six customers are very satisfied is 0.2

(b) Probability that more than 6 customers are very satisfied

Seven less than the product of 6 and a number is 2.

→ The product of 6 and a number can be expressed as 6x

→ "Seven less than the product of 6 and a number", indicates that you have to subtract 7 to 6x, so that: 6x-7

→ According to the sentence, the result of this calculation is seven, so the complete expression is:

Given the two circles shown in the exercise, you need to remember that, by definition, two figures are congruent when they have the same size and they have the same shape.

In this case, you can identify that the circles have the same diameters (remember that a diameter of a circle is the length that passes through the center of the circle and touch two points on the circumference):

Therefore, these circles have the same shape and size.

By definition, two figures are similar when their corresponding angles are congruent and the ratios of the corresponding sides are proportional.

In this case, since the figures are circles, you know that they both measure 360 degrees. Knowing that they also have the same diameter, you can determine that they are similar too.

Hence, the answer is: They congruent and similar.

The postulates of congruence for right triangles are

• Hypotenuse-Leg Theorem.

• Leg-Leg Theorem.

• Leg-Acute Angle Theorem.

• Hypotenuse-Acute Angle Theorem.

In this case, we know that sides CE and OQ are congruent. (hypotenuses are congruent)

Angle C is congruent to angle O.

Angle E is congruent to angle Q.

To demonstrate the congruence between triangles we can use Hypotenuse-Acute Angle Theorem since they are congruent between triangles.

We can also use Hypotenuse-Leg Theorem because we have corresponding legs and hypotenuses congruent.

The hypotenuse-acute angle theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of acute angles congruent.

The hypotenuse-leg theorem states that two right triangles are congruent if they have congruent hypotenuse and one corresponding pair of congruent legs.

Let p denote the statement "It snows", and q denote tthe statement "I can go snowboarding"

The we need to draw a table for

(p => q)v(-p => q)

p q -p -q p=>q -p => -q (p => q)v(-p => q)

T T F F T T T

T F F T F T T

F T T F T F T

F F T T T T T

The argument is valid, since the last column has truth all through.

The original graph is given below

a. If the starting number of players is 600 instead of 400 then

The y-intercept will be 600

The new graph will be a vertical stretch of the original graph by a scale factor of 600/400

Therefore,

The y-intercept will be 600. The new graph will be a vertical stretch of the original graph by a scale factor of 1.5

b. If the starting number of players is 800 instead of 400 then

The y-intercept will be 800

The new graph will be a vertical stretch of the original graph by a scale factor of 800/400

Therefore,

The y-intercept will be 800. The new graph will be a vertical stretch of the original graph by a scale factor of 2

The radius of the cone is=  3.14*160 cm^2.

According to our question-

Total SA of a cone = πr^2+πrl = πr(r+l)

Here r = 8 cm , slant height l=12 cm.

SA of cone =3.14 * 8 * ( 8+12) cm^2

=> 3.14*160 cm^2

learn more about equations click here:

brainly.com/question/25976025

#SPJ1

Given:

To multiply the two polynomials using the distributive property, we first follow the rule shown below:

For: (a+b)(c+d)=a(c+d)+b(c+d)=ac+ad+bc+bd

We let:

Now, we plug in what we know:

Therefore, the answer is:

Let there are x number of pages in whole book. So 3/5 of a book is equal to 3/5x.

Determine the value of x.

So there are 125 pages in the whole book.

Answer:

Given that,

To find the equation which shows Pythagoras identity is true for theta=3 pi/2

The equation is of the form,

we have that,

Using this we get,

Substitute the values in the given equation we get,

Answer is: Option B:

Answer:

(1-4)

Step-by-step explanation:

Solve for the first variable(x or y) in one of the equations(you choose which equation) and then after finding the first variable(x or y) you plug it in into the equation u didnt use and solve

hello

to solve this problem, we should understand that a standard deck of cards have 52 cards which consists of 13 spade.

the probability of choosing a spade is

the answer to this question is 1/4