ABC is a isosceles triangle. is AD the height of ABC? Explain.

(Yes or No) _ AD is (Perpendicular or not) _ to BC because _ A. 28^2 + 45^2 = 53^2
B. 28^2 + 53^2 ≠ 45^2
C. 28^2 + 45^2 ≠ 53^2
D. 28^2 + 53^2 = 45^2

The things in () are answers to fill the "_"

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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Answer:

There are 5 sides in the polygon.

Total perimeter of the polygon is 12.5 cm and it is a regular polygon.

Each side of the polygon is 2.5 cm.

So total number of sides is: Total perimeter of the polygon / Length of each side = 12.5 cm/ 2.5 cm = 5

Hence, the polygon has 5 sides and it is a regular pentagon.

Step-by-step explanation:

I hope this is correct, if it isn't please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

The mean of the first set is 8.67

The mean of the second set is 8

The mean of the third set is 16.43

The mean of the fourth set is 23.13.

Compute for the sum of the given numbers in each set.

Divide the sum computed in step 1 by the total number of values in each set (count the values).

The resulting quotient is the mean of the respective set of numbers.

A. Computing for the Mean of a Sample

Given Mean 3, 4, 9, 11, 5

To find the mean of the given set, we need to compute the sum first.

3 + 4 + 9 + 11 + 5 = 32

There are five (5) values in the set, so we divide the sum by 5.32 ÷ 5 = 6.4

Thus, the mean of the first set is 6.4.7, 11, 10, 13, 5, 6

Sum = 52

Count = 6

Mean = 52 ÷ 6 = 8.67

The mean of the second set is 8.67.13, 3, 6, 8, 12, 9, 5

Sum = 56

Count = 7

Mean = 56 ÷ 7 = 8

The mean of the third set is 8.15, 11, 16, 15, 18, 20, 20

Sum = 115

Count = 7

Mean = 115 ÷ 7 = 16.43

The mean of the fourth set is 16.43.21, 23, 25, 19, 15, 26, 27, 29

Sum = 185

Count = 8

Mean = 185 ÷ 8 = 23.13

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The equation can be used to find the time in hours, \(\dfrac{t}{4}+\dfrac{t}{7}=1\) and the time will be 2.5 hours. So the correct answer is option A.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.

Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :

\(\dfrac{t}{4}+\dfrac{t}{7}=1\)

Further solving it we get;

7 t + 4 t = 28

11t  =  28

t = 2.5 hours.

Therefore the equation can be used to find the time in hours, \(\dfrac{t}{4}+\dfrac{t}{7}=1\) and the time will be 2.5 hours. So the correct answer is option A.

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Answer:

52

Step-by-step explanation:

Answer:

The range of this quadratic function is

-infinity < y ≤ 2.

Answer: C

Step-by-step explanation:

Answer:

the answer is 8 pallent

Step-by-step explanation:

Answer:

36% ,hope this helps

Step-by-step explanation:

1) 100 - 85  = 15

2) 240 times 15 devided by:100

3) equals 36

4) 36 %

Answer:

90*

Step-by-step explanation:

Answer:

Monday:480 (E)

Tuesday: 125(J)

Step-by-step explanation:

Monday: Volume= L*W*H

12*5*8-480

Tuesday: Volume= E*E*E

5*5*5=125

The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

Step-by-step explanation:

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5  -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

Answer:

-7 3/4 (or it can be written as -31/4, an improper fraction)

Step-by-step explanation:

Therefore, the answer is -7 3/4 as a mixed number and -31/4 as an improper fraction (they're the same thing).

The volume common to two spheres, each with radius r, if the distance between their centres is r/2 is V = (11/12)×π×r³.

The attached diagram shows 2 circumferences with radius r and separated centres by r/2.

Let´s call circumferences  1 and 2; by symmetry, rotating area A will produce a volume V₁ identical to a V₂, Obtained by rotating area B ( both around the x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) × r × x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) × r × x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) × r × (r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

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Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

That sign means greater than and/or equal to (the little line) since 10 is equal to 10, then r can be 10

All you have to do is, make the operations.

Step 1

break the parenthesis and add the terms

so, the answer is -22

Answer:

3/4 x 6=18/4

Step-by-step explanation:

Reduce fraction to lowest terms

18 over 4

18 /4

= ( 18 ÷ 2 ) over ( 4 ÷ 2 )

18 ÷ 2

4 ÷ 2

= 9 over 2

9 /2

2 is the greatest common divisor of 18 and 4. Reduce by dividing both numerator and denominator by 2.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

9 over 2

9 /2 = 4 and 1 over 24

1 /2

9 ÷ 2 = 4 remainder 1

Answer:

7 and a half minutes

Step-by-step explanation:

this is because 15 is 1/4 of a hour and 7 and a half is half of 15 if you spend 7 and a half on all homework assignments you will use up 45 minutes or 3/4 of a hour

The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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The number of children and adults that swam at the public pool are 247 and 208 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Represent the number of children by x and the number of adult by y

this means;

x+y = 455 equation 1

1.75x + 2.5y = 952.25 equation 2

using substitution method,

x = 455-y

substitute 455-y for x in equation 2

1.75(455-y) + 2.5y = 952.25

796.25-1.75y+2.5y = 952.25

0.75y = 952.25-796.25

0.75y = 156

divide both sides by 0.75

y = 156/0.75

y = 208

substitute 208 for y in equation 1

x = 455-208

x = 247

therefore the number of children and adults in the pool are 247 and 208 respectively.

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The interval of x-values over which the function is increasing is (-3 , -1)

A law that connects two variables—the dependent and the independent variables—is known as a function.

A function's range and domain are always specified.

The x and y values are:

-6      -34

-5       3

-4      -10

-3      -11

-2      -6

-1        -1

0        -2

1        -15

It is necessary to identify the range of x-values across which the function increases.

The function is not rising in this interval, hence the first option is (-6, -3).

The function is rising in this range, hence the second alternative is (-3, -1).

The function is not rising in this interval, hence the third alternative is (-3, 0).

The function is not rising in this period, hence the fourth alternative is (-6, -5).

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Answer:

For function B the rise/run or the rate of change is 3/5 and for the chart would be 2

Step-by-step explanation:

Explain because its change in y/ change in x so up 3 over 5 would give 3/5 and for the chart is 2 because its change in y over change in x and since y is 4 and x is 2 4/2=2. hope this helps

There are 26 uppercase English letters and 10 digits (0 to 9). Therefore, there are $26 \times 26 \times 10 \times 10 \times 10 \times 10 = 67,!600,!000$ ways to form a license plate with two uppercase English letters followed by four digits.

Similarly, there are $26 \times 26 \times 26 \times 26 \times 10 \times 10 = 45,!697,!600$ ways to form a license plate with four uppercase English letters followed by two digits.

The total number of possible license plates is the sum of these two numbers:

67,600,000 + 45,697,600 = 113,297,600

Therefore, there are $113,!297,!600$ possible license plates that can be made using either two uppercase English letters followed by four digits or four uppercase English letters followed by two digits.

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Answer:

(i) The equivalent coordinates in rectangular form are \((x, y) = (-3.277,-2.294)\).

(ii) The equivalent coordinates in rectangular form are \((x, y) = (0.866, 0.5)\).

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

\((x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)\)

Where:

\(r\) - Norm of vector, dimensionless.

\(\theta\) - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) (\(r = 4\), \(\theta = 215^{\circ}\))

\((x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})\)

\((x, y) = (-3.277,-2.294)\)

The equivalent coordinates in rectangular form are \((x, y) = (-3.277,-2.294)\).

(ii) (\(r = 1\), \(\theta = 30^{\circ}\))

\((x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})\)

\((x, y) = (0.866, 0.5)\)

The equivalent coordinates in rectangular form are \((x, y) = (0.866, 0.5)\).

Answer:

3 and 3/4

Step-by-step explanation:

Answer:

121.5 :) hope this helped

If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

The probability of all the events in a sample space adds up to 1.

Thus, If the random variable X is distributed normally with a mean of 0 and a standard deviation of 1, the probability P(x = 0) =.50 is not correct.

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Answer:

3x13=39

Step-by-step explanation:

\(3m = 39\)

\(m = \frac{39}{13} \)

\(m = 3\)

Let us check if it is correct or not :-

\(3 \times m = 39\)

\(3 \times 13 = 39\)

\(LHS = RHS \)

\(therefore \: , \: \: 3 \times 13 = 39\)

Answer:

the worm line would be 4 inches long