Find the volumes of the pyramid and triangular pyramid.

The value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

Let's call the unknown number "x". The statement "When 12 is multiplied by a number, the result is 72" can be represented mathematically as:

12 * x = 72

This equation states that when we multiply 12 by the unknown number "x", we obtain a product of 72. To find the value of "x", we need to solve this equation.

To solve for "x", we can divide both sides of the equation by 12:

(12 * x) / 12 = 72 / 12

Simplifying, we have:

x = 6

Therefore, the equation that fits the given statement is:

12 * x = 72

Where "x" is equal to 6.

In this equation, the value of "x" is the unknown number that, when multiplied by 12, gives a result of 72. By solving the equation, we find that the unknown number is 6.

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Answer:

political spectrum

Step-by-step explanation:

political spectrum

Answer:

3:2

Step-by-step explanation:

Angela + Barry = land

7 corn + 3 peas = land

4 corn + 1 peas = Angela

land = land

Angela + Barry = 7 corn + 3 peas

4 corn + 1 peas + Barry = 7 corn + 3 peas

Barry = 7 corn + 3 peas - 4 corn - 1 peas

Barry = 3 corn + 2 peas

Barry = 3:2

The ratio of corn to peas for Barry's portion is 3:2. Hence, option C is correct.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the data given in the question,

Angela + Barry = land

7 corn + 3 peas = land

4 corn + 1 peas = Angela

land = land

Angela + Barry = 7 corn + 3 peas

4 corn + 1 peas + Barry = 7 corn + 3 peas

Barry = 3 corn + 2 peas

Barry = 3:2

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Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

Answer:

170 cm^2.

Step-by-step explanation:

This consists of 3 rectangles of same area and 2 triangles of the same area.

= 3 * 10 * 5 + 2 * 1/2 * 5 * 4

= 150 + 20

= 170 cm^2.

Yes that is correct

Kugvuykvyukykvuuyvkkyvu

Total price paid by Michael for the basket of mangoes is $4.48.

For the calculation of total price, price of sales tax will be added with selling price. Forming the equation -

Total price = 4 + 12%×4

Calculating the percentage of sales tax on Right Hand Side of the equation

Total price = 4 + 12×4/100

Solving the percentage part on Right Hand Side of the equation

Total price = 4 + 0.48

Performing addition on Right Hand Side of the equation

Total price = $4.48

Hence, Michael has to pay $4.48 after addition of sales tax for the basket of mangoes.

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Learn more

bit strings of length 12 contain a) exactly three 1s is 220 b) at most three 1s is 2700 c) atleastthree1s is 220 d) an equal number of 0s and 1s is 66.

a) To calculate the number of bit strings of length 12 containing exactly three 1s, we can use the combination formula. The formula is nCr, where n is the total number of bits (12) and r is the number of 1s (3).The solution is 12C3 = 220.

b) To calculate the number of bit strings of length 12 containing at most three 1s, we can use the summation formula. The formula is sum of nCr, where n is the total number of bits (12) and r is the number of 1s (3). So, the answer is (12C0 + 12C1 + 12C2 + 12C3) = 2700.

c) To calculate the number of bit strings of length 12 containing at least three 1s, we can use the combination formula. The formula is nCr, where n is the total number of bits (12) and r is the number of 1s (3). The solution is 12C3 = 220.

d) To calculate the number of bit strings of length 12 containing an equal number of 0s and 1s, we can use the combination formula. The formula is nCr

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Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

----------

Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

==========================================

Problem 19

Answer: Choice A) 134

----------

Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

----------

Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

----------

Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

----------

Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

Answer:

The relation represented by the graph is not a function

Step-by-step explanation:

A function by definition is "a relation from a set of inputs to a set of outputs". For this graph there's no constant rate of change, you can't form a line with the points, and you can't write an equation or inequality from the points. There's no sort of relationship between the number of days and the number of students who are absent, so it's not a function.

Answer:

1. 1,7 2,10 3,5 4,7 5,9

2. 5

3. 2 10 Students were absent on day 2.

4.The graph is a function because each x-value is paired with a single y-value.

The factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Given

5x³ + 20x³ + 2x +8 is a polynomial.

The factor of the polynomial.

5x³ + 20x³ + 2x +8 is a polynomial.

Take common, we get

5x²(x + 4) + 2(x + 4)

(5x² + 2) (x + 4)

[(x√5)² - (i√2)](x + 4)

(√5x - i√2)(√5x + i√2)(x + 4)

Thus, the factor of the polynomial is (√5x - i√2)(√5x + i√2)(x + 4).

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Answer:

> Option D, or (5x2 + 2) (x + 4), is the correct choice.

Step-by-step explanation:

> This is the only correct answer choice for this equation.

The largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

Explanation:

To find where the function is increasing, we need to find where the first derivative of the function is positive. Taking the derivative of f(x), we get:

f'(x) = (-2x) / (x^2 + 1)^2

The denominator of this expression is always positive, so the sign of f'(x) is determined by the numerator. The numerator is negative for x < 0 and positive for x > 0. Therefore, f(x) is decreasing on (-∞, 0) and increasing on (0, ∞).

We also need to check the endpoints of these intervals to make sure that the function is increasing on the entire interval. As x approaches negative infinity, the function approaches 0, and as x approaches positive infinity, the function approaches 0. Therefore, the function is increasing on (-∞, 0) ∪ (0, ∞).

In summary, the largest open interval where the function f(x) = 1/(x^2+1) is increasing is (-∞, 0) ∪ (0, ∞). On this interval, the function is increasing from negative infinity to zero and from zero to positive infinity.

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Answer:

P = 156 units

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle.

tangents from an external point to the circle are congruent , that is

HK = HJ ( substitute values )

13x - 8 = 7x + 4 ( subtract 7x from both sides )

6x - 8 = 4 ( add 8 to both sides )

6x = 12 ( divide both sides by 2 )

x = 2

Then

HK = HJ = 7x + 4 = 7(2) + 4 = 14 + 4 = 18

and

KI = IL = 21

then

GL = GJ = 60 - 21 = 39

Thus

P = HK + KI + IG + GJ + JH = 18 + 21 + 60 + 39 + 18 = 156 units

The solution to the equation W - 2 + 2w = 6 + 5w is W = -4.

To solve the equation W - 2 + 2w = 6 + 5w,  follow these steps:

Begin by gathering the terms with W on one side and the terms without W on the other side of the equation.

Start by subtracting 2w from both sides:

W - 2 + 2w - 2w = 6 + 5w - 2w

Simplify:

W - 2 = 6 + 3w

Next, move the constant term (6) to the left side by subtracting 6 from both sides:

W - 2 - 6 = 6 + 3w - 6

Simplify:

W - 8 = 3w

Now, let's isolate the variable W by subtracting 3w from both sides:

W - 3w - 8 = 3w - 3w

Simplify:

-2w - 8 = 0

Finally, solve for W by adding 8 to both sides:

-2w - 8 + 8 = 0 + 8

Simplify:

-2w = 8

Divide both sides by -2 to isolate w:

(-2w) / -2 = 8 / -2

Simplify:

w = -4

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Answer:

B. 15

Step-by-step explanation:

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "11.3" was replaced by "(113/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    b-((113/10))>0  

Step by step solution :

STEP

1

:

           113

Simplify   ———

           10  

Equation at the end of step

1

:

      113

 b -  ———  > 0  

      10  

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

         b     b • 10

    b =  —  =  ——————

         1       10  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

b • 10 - (113)     10b - 113

——————————————  =  —————————

      10              10    

Equation at the end of step

2

:

 10b - 113

 —————————  > 0  

    10    

STEP

3

:

3.1    Multiply both sides by  10  

3.2    Divide both sides by  10  

     b-(113/10)  > 0

Solve Basic Inequality :

3.3      Add  113/10  to both sides

            b > 113/10

Inequality Plot :

3.4      Inequality plot for

        b  - 11.300  >  0

One solution was found :

b > 113/10

Which number is a solution of the inequality?

b > 11.3

The answers are 15,9,-14, and 4

15

Answer:

-4

Step-by-step explanation:

-6 - (-2)

-6 + 2

-4

Answer:

-4

Step-by-step explanation:

-6 -(-2)=-4

Hoped that helped:P

Answer:

4.242641

Step-by-step explanation:

d=\(\sqrt{(1-(-2))^{2}+(-2-1)^{2} }\)

d=\(\sqrt{(3)^{2} + (-3)^{2} }\)

d=\(\sqrt{9+9}\)

d=\(\sqrt{18}\)

d=4.242641

(does it deserve a Brainliest)

C. (–2, –1), x = –2

P'(0, –1), Q'(–3, 2)

The axis of symmetry of a parabola is a vertical line that divides the parabola into two equal halves, so that if any point on one half of the parabola is reflected over the axis of symmetry, it will fall on the other half of the parabola. The axis of symmetry is a line that is equidistant from the vertex of the parabola and the focus.

In this case, the axis of symmetry is given as x = –2, which means that the line x = –2 is the axis of symmetry.

The vertex of a parabola is the point on the parabola that is closest to the focus, or the point that is equidistant from the focus and the directrix. In this case, the vertex is given as (–2, –1), which is the point on the parabola that is closest to the focus and is equidistant from the focus and the directrix.

Points P' and Q' correspond to two different points on the parabola. P' is given as (0, –1) and Q' is given as (–3, 2). These are simply two points on the parabola, and they can be used to describe the shape of the parabola or to graph the parabola.

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Approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.

In the given question, a wheel having a diameter of 50 cm.

If the elf travels a distance of 25 meters then we have to find how many revolutions did the wheel go through.

Since we have the wheel's diameter, we can determine the radius of the wheel. As we already know, the length of a wheel's revolution is equal to its circumference, which is a circle with a diameter of 2πr.

We will now enter the radius value into the algorithm to determine how many revolutions the wheel must make. To reach the desired result, divide the total distance by the distance covered in one revolution to determine the number of revolutions needed to travel 25 m.

r = \(\frac{50}{2}\) = 25 cm

The radius of the wheel is 25 cm.

Now we put the value of r in the formula of circumference.

2πr = 2π×25

2πr = 50π cm

Total distance is 25 m. So we convert m in cm by multiplying the 100.

Now the total distance is 2500 cm.

2500 = n × 50π

Now putting the value of π = 3.14

2500 = n×50 × 3.14

2500 = n×157

Divide by 157 on both side, we get

n = 15.924

n = 16(approx)

Hence, approx 16 revolutions the wheel go through to travel the distance 25 meters by a diameter of 50 cm.

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Answer:

4ft

Step-by-step explanation:

If you multiply 3 by 2, you get the sum of the widths. (6)

14-6 = 8

8 is the sum of the lenghts.

Becasue the lengths have to be equal divide it by 2

8/2 = 4

According to graph, GMT time when the plane flew over the beacon was 9:24.

While looking closely at the graph on x axis , one will notice that each hour is divided into 5 parts and hence each part has 12 minutes. looking at y axis, one may find that each part on y axis resembles 20miles. Hence at 280 miles away from Bristol, The GMT time is 9:24.

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Answer:

40%

Step-by-step explanation:

Discount = 40%

10% = 0.245

40% = 0.98

$2.45 - $0.98 = $1.47

the average of x and y, expressed as a decimal to the nearest tenth, is approximately 3.7 meters per second.

To find the average speed, we need to calculate the average of x and y, where x represents the average speed for the first flight and y represents the average speed for the longest flight.

To calculate the average, we add the values of x and y and divide by 2:

Average = (x + y) / 2

The first flight had a duration of 12 seconds and covered a distance of 37 meters. Therefore, the average speed for the first flight (x) can be calculated as:

x = distance / time = 37 meters / 12 seconds ≈ 3.083 meters per second

The longest flight had a duration of 59 seconds and covered a distance of 260 meters. Therefore, the average speed for the longest flight (y) can be calculated as:

y = distance / time = 260 meters / 59 seconds ≈ 4.407 meters per second

Now, we can find the average of x and y:

Average = (3.083 + 4.407) / 2 ≈ 3.745

Therefore, the average of x and y, expressed as a decimal to the nearest tenth, is approximately 3.7 meters per second.

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Complete question is below

On December 17  at Kitty Hawk, N.C., 1903 the Wright Flyer became the first powered, heavier-than-air machine to achieve controlled, sustained flight with a pilot aboard.

First flight,  Orvile 12 seconds, 37 meters.

Longest flight, Wilbur, 59 seconds, 260 meters.

The average speed for the first flight was x meters per second. The average speed for the longest flight was y meters per second. What is the average of  x and y Express your answer as a decimal to the nearest tenth.

Answer:

Step-by-step explanation:

hello :

cosθ = 72.90/125.00

cosθ = 0.58

θ= cos-1(0.58)

θ = 54.55°

Answer:

Being both triangles similar, the angles S and O must be congruent.

Step-by-step explanation:

The SAS or Side-Angle-Side Theorem

Two triangles are similar if two of the sides are proportional and the included angle, or the angle between those sides, is the same.

We are given that:

* Angle SPT is congruent with angle OPT

* Side SP is congruent with side OP

* Both triangles share the same side TP

This makes both triangles to be similar according to the SAS theorem: Sides SP and TP and included angle SPT correspond to sides OP and TP, and included angle OPT.

Being both triangles similar, the angles S and O must be congruent.

Answer:

125.

Given:

Step-by-step explanation:

As given in the question that the ratio is already given,

therefore,

1. The ratio of tourist of to locals

the ratio of tourist to local is 4:5

\(\frac{tourist}{locals}\)=\(\frac{4}{5}\)

2. Attendance of locals at the opening

here are 100 tourist at the opening

\(\frac{100}{locals} =\frac{4}{5}\)

locals= 125

locals are 125 in attendance.

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125 is the attendance of locals

The ratio of tourists to locals is 4:5

Tourists / Locals = 4 / 5

There are 100 tourists at the opening of the new museum

100 / locals = 4/5

locals = 500/4

locals = 125

The attendance of locals is 125.

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Answer:

I think the answer is 35x⁴-10

Step-by-step explanation:

3x × 4x=12x²

3x × 5=15x

2 × 4x=8x

2 × -5=-10

15x+8x=23x²

12x²+23x²=35x⁴

35x⁴-10

Answer:

39.85

Step-by-step explanation:

There is about a 33.7% probability that a case of 48 cans will contain at least two cans with a defective ball.

To solve this problem, we can use the binomial distribution. Let's define "success" as getting a can with no defective ball and "failure" as getting a can with at least one defective ball.

The probability of success in one can is:

P(success) = 1 - P(failure) = 1 - 0.025 = 0.975

The probability of failure in one can is:

P(failure) = 0.025

Now, let's define X as the number of cans in a case of 48 that have at least one defective ball. We want to find the probability that X is greater than or equal to 2.

We can use the binomial distribution formula to calculate this probability:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

P(X = 0) = (0.975)^48 ≈ 0.223

P(X = 1) = 48C1 (0.975)^47 (0.025)^1 ≈ 0.44

where 48C1 is the number of ways to choose one can out of 48.

Therefore, the probability that a case of 48 cans will contain at least two cans with a defective ball is:

P(X ≥ 2) ≈ 1 - 0.223 - 0.44 ≈ 0.337

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