Find the area of an equilateral triangle with a height that measures 9 feet

I think it is some ware between 20 and 200 if that helps  

Step-by-step explanation:

Answer:

f(-8) = -2

Step-by-step explanation:

f(x)=x/4

Let x = -8

f(-8)=-8/4

f(-8) = -2

Answer:

The correct answer should be A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: 442 calls

Step-by-step explanation: to find the 9th term you multiply 40 by 9 which will give you 360. You then add 82 from that 1st day and you will get 442 calls. This represents the total amount of calls taken on the 9th day. The rule used is for each day multiply 40. After multiplying add 82.

Answer:

option a is correct

Step-by-step explanation:

I think

Answer:

D -  It has a single solution: x = -3, y = 26.

Step-by-step explanation:

Answer: 65

Step 1: Multiply and add until you get 49.

11 x 4 = 44.

44 + 5 = 49.

Step 2: Multiply and add until you get 26, because 7:11 to 49 boys is 26,       26 : 49.

7 x 3 = 21.

21 + 5 = 26.

Step 3: Add 26 and 49.

26 + 49 = 65

Answer:

126 students

Step-by-step explanation:

Boys : Girls

7 : 11

How do you get from 7 to 49?

49 ÷ 7 = 7

Therefore, you should multiply the number of boys by 7.

Multiply:

7 : 11

7 × 7 = 49

49 : 11

Remember that whatever we do to the left, do to the right.

Multiply:

49 : 11

11 × 7 = 77

49 : 77

Now, let's add the number of boys and girls in the class to find the total number of students.

Add:

49 + 77 = 126

Therefore, there are 126 students in all.

The solution to the above algebra question is  (b) x-3, x+5.

To find the remaining factors of the polynomial x^3+4x^2-11x-30=0, we can use polynomial long division or synthetic division. However, since we are given that x+2 is a factor of the polynomial, we can use synthetic division to simplify the process.

We set up the synthetic division table as follows, using -2 as the divisor:

-2 | 1 4 -11 -30

|____-2__-4___30

| 1 2 -15 0

The bottom row of the table represents the coefficients of the quadratic polynomial obtained by dividing x^3+4x^2-11x-30 by x+2. The last term of the quadratic is 0, which indicates that x+2 is a factor of the polynomial. The remaining quadratic polynomial can be factored as:

x^2 + 2x - 15 = (x - 3)(x + 5)

Therefore, the remaining factors of the polynomial x^3+4x^2-11x-30=0 are x+2, x-3, and x+5.

The correct answer is (b) x-3, x+5.

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The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Therefore, the height of the trapezoid is 73.5 centimeters.

Height is a measurement of how tall someone or something is, usually expressed in units such as feet, inches, meters, or centimeters. It is a physical dimension that describes the distance between the top of an object or person and the ground or a reference point. Height is often used to describe the size of people, animals, buildings, and other objects, and is an important factor in fields such as architecture, engineering, and athletics.

To find the height of the trapezoid, we can use the formula:

Area = (base1 + base2) * height / 2

where base1 and base2 are the longer and shorter bases of the trapezoid, and height is the perpendicular distance between the bases.

We are given that the area of the trapezoid is 8,526 square centimeters, base1 is 127 centimeters, and base2 is 105 centimeters. Let's plug in these values and solve for the height:

8,526 = (127 + 105) * height / 2

8,526 = 232 * height / 2

8,526 = 116 * height

height = 8,526 / 116

height = 73.5

Therefore, the height of the trapezoid is 73.5 centimeters.

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Answer:

0.192 hour

Step-by-step explanation:

41$ / 8 = 0.192 hours = 11.703 minutes

Answer:

x = y = 26 cm; z = 13 cm

Step-by-step explanation:

We can calculate the dimensions of the square base as

∛(2·8788) = 26 cm

the height of the box will be half of 26/2 which is 13 cm.

x = y = 26 cm; z = 13 cm

then the minimum area for the given volume can be calculated using what we call Lagrange multipliers, this makes it easier

area = xy +2(xz +yz)

But we were given the volume as 8788

Now we will make the partial derivatives of L to be in respect to the cordinates x, y, z, as well as λ to be equal to zero, then

L = xy +2(xz +yz) +λ(xyz -8788)

For x: we have

y+2z +λyz=0

For y we have

y: x +2z +λxz=0

For z we have 2x+2y +λxy=0............eqn(*)

For we have xyz -8788=0

If we simplify the partial derivative equation of y and x above then we have

λ = (y +2z)/(yz).

= 1/z +2/y............eqn(1)

λ = (x +2z)/(xz)

= 1/z +2/x.............eqn(2)

Set eqn(1 and 2) to equate we have

1/z +2/y = 1/z +2/x

x = y

From eqn(*) we can get z

λ = (2x +2y)/(xy) = 2/y +2/x

If we simplify we have

1/z +2y = 2/x +2/y

Then z = x/2

26/2 =13

Therefore,

x = y = 2z = ∛(2·8788)

X= 26

y = 26 cm

z = 13 cm

Answer:

10.41 - 1.25 = x

x / 4 = answer

(the answer is $2.29 per chip bag)

Step-by-step explanation:

;3

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

Yes because it can be turned into -15 4/5

(sorry if it's incorrect I just started learning this (っ °Д °;)っ)

Both men are committing fallacies in their reasoning. The occurrence of a hurricane on that land cannot be predicted with certainty, and making decisions based on fallacious reasoning can lead to poor outcomes.

A fallacy refers to the statement in an argument that makes an error in logic. Fallacies are very dangerous because they lead to incorrect thinking about certain topics and may lead to an incorrect conclusion about that topic most of the time.

The fallacy in Poindexter's uncle's reasoning is known as the fallacy of induction. This fallacy occurs when someone assumes that because a certain event has happened in the past, it is likely to happen again in the future. While it is true that the land has been hit by hurricanes 160 times in the past, it doesn't necessarily mean that it will happen again in the near future.

On the other hand, Poindexter's nephew is committing the fallacy of the Gambler's Fallacy. This fallacy occurs when someone assumes that because something hasn't happened in a while, it is more likely to happen soon. In this case, the nephew assumes that a hurricane must be due soon simply because it hasn't happened in the past 13 years. However, the occurrence of a hurricane is not influenced by the time that has passed since the last one. Each hurricane is a unique event that is not influenced by previous occurrences.

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The second difference of the given number table is: Option A: -2

The second difference method can be used to determine a quadratic model.  In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.

Thus, Applying the second difference concept to our problem, we have:

First difference:

-4 - (-9) = 5

-1 - (-4) = 3

Thus, second difference is:

3 - 5 = -2

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Given the expression

The objective is to solve for x, this means, isolate x on one side of the equal sign and all other terms on the other side of it.

To do so, you have to "pass" the term "35" from the left side of the equation to the right side. To pass a term from one side to the other you have to apply the opposite operation to both sides of it, this is so that the equality stays valid.

The number is positive (it's adding), so the opposite operation will be to subtract it:

Simplify the expression and you get that:

Now, note that the x-term is negative when you want to solve an equation for x, the variable must be positive, this means we have to turn "-x" into "x".

The minus also indicates that the coefficient multiplying x is "-1", usually when the variables are alone, there is a hidden coefficient multiplying them, for "x" the coefficient is "1" and for "-x" the coefficient is "-1".

To make x positive you need to cancel this multiplication, to do so you have to divide it by the same number. And to keep the equality valid, what is done to one side of the equation must be done to the other side, so divide both sides by -1

Once divided by -1 we determined that the value of x is 18

Usain's speed in miles per hour is 22.72 mph.

Speed = Distance/Time

Distance = Speed X Time

Time = Distance / Speed

Given:

Usain run 100 yards in 9 sec.

So, he can 1760 yards in

= 9/100  x 1760

= 158.4 sec

As, his speed in yards/ sec= 100/9

So, 1760 yard= 1 mile and 3600 sec = 1 hour

Now, the speed in miles per hour

= 100/ 9 x 3600/1760

= 100/9 x 2.045

= 22.72 mph

Hence, the speed is 22.72 mph.

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The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

The given image can be divided into two parallelograms.

The area of a parallelogram is defined by

Let's find each area

Then, we add these areas

The equation of the sinusoid function is:

3 Sin πx + 2.

Let's analyze the given options to find the correct equation:

a. 3 Cos πx + 2:

This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.

b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.

c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:

To determine if the period is correct, we need to calculate the x-values when the function repeats itself.

In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.

sin(πx) = 0 when πx = 0, π, 2π, 3π, ...

Solving for x, we have:

πx = 0 ⟹ x = 0

πx = π ⟹ x = 1

πx = 2π ⟹ x = 2

πx = 3π ⟹ x = 3

From this, we can see that the function repeats itself every integer value of x, which matches the given information.

Therefore, option (c) is the correct equation: 3 Sin πx + 2.

Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.

Hence, the equation of the sinusoid function is:

3 Sin πx + 2.

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The measure of angle 2 which  is 27°, from the given figure .

The angles of parallel lines can be stated as, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. we can say that, Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

here, we have,

Given that, l║m and QR perpendicular to ST at R.

Here, m∠1 =m∠QTR (Alternate interior angles are equal)

m∠QTR=63°

From triangle RQT,

m∠2+m∠QTR+m∠QRT=180° (Sum of interior angles of triangle is 180°)

⇒ m∠2+63°+90°=180°

⇒ m∠2+153°=180°

⇒ m∠2=180°-153°

⇒ m∠2=27°

Therefore, the measure of angle 2 from the given figure is 27°.

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Answer:

Which two expressions?

Step-by-step explanation:

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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Answer:

Yes One of your family members will get the Flu

Step-by-step explanation:

There are 8 people in the house and there is a 1/8 chance of getting the flu.  One person will get the flu out of all 8

The additive identity of 2/3 is 0

From the question, we have the following parameters that can be used in our computation:

Number = 2/3

The above number is a real number

As a general rule of real numbers, all real numbers have an additive identity of 0

This means that the additive identity of 2/3 is 0

So, we have

Additive identity of 2/3 = 0

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