Find the area of the composite figure.
8 cm
10 cm
14 cm

Answer:

Rectangles, squares, and rhombus are quadrilaterals that have attributes of a parallelogram.

Step-by-step explanation:

Answer:

800000

Step-by-step explanation:

(1 x 10^1) = 10

(8 x 10^4) = 80000

10 x 80000 = 800000

Answer:

Apples $0.90 / Bananas $1.50

Step-by-step explanation:

So The equations would look like this

5x + 4y = 10.5

10x + 5y = 16.5

Solving for x, we get 2.1 - 4/5y

Substitute x

10(2.1 -4/5y) +5y = 16.5

Solving for y, we get 3/2 or 1.5

Substitute y

x = 2.1 -4/5(3/2)

x = 9/10

Now check the equations with the answers

5(9/10) + 4(3/2) = 10.5  ->  21/2 = 21/2

10(9/10) + 5(3/2) = 16.5  ->  33/2 = 33/2

Which means apples cost $0.90 and bananas cost $1.50

The statement (1) "the sum of two diagonal matrices of the same size is a diagonal matrix" is true. The correct option is a.

When you add two diagonal matrices of the same size, each corresponding element in the resulting matrix is the sum of the corresponding elements in the original matrices. Since the original matrices are diagonal, all the elements except for the diagonal elements are zero. So when you add them together, the only non-zero elements will be the diagonal elements, making the sum a diagonal matrix.

On the other hand, the statement (2) "the product is also diagonal" is false. When you multiply two diagonal matrices of the same size, the resulting matrix will not necessarily be diagonal. The product of two diagonal matrices is obtained by multiplying the corresponding elements in each row of the first matrix with the corresponding elements in each column of the second matrix and summing them up. This means that non-diagonal elements may be non-zero if the corresponding rows and columns have non-zero elements.

In summary, the sum of two diagonal matrices is a diagonal matrix, but the product of two diagonal matrices is not necessarily diagonal. Therefore, the correct answer is (a) true.

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1 solution: (-1,-3)

1) Since we are going to solve these systems graphically, let's begin by setting one pair of t-tables:

b) 2x-y=1, y=-3

2x-y=1 ⇒-y= 1 -2x ⇒ y=2x-1

Now, let's plot those points and trace one increasing line for the first one, and one horizontal line for the constant function y=-3

2) Plotting that system, we can tell the solution is the common point to both equations:

Thus, the answer is (-1,-3)

We can draw the trapezoid as follows

Recall that the area of a trapezoid of the shape

Is given by the formula

In our case, we have b=1/5, B = 2/7 and the area is 17/420. So we have the following equation

so we need to solve this equation for h.

We start by solving this operation

Recall that given two fractions a/b and c/d we have

Taking a=2, b=7, c=1 and d=5, we get

So we have the equation

Now, recall that givens numbers a,b,c where b and c are not zero, we have that

In our case, lets take a=17, b=35 and c=2. So we have

So we have the equation

We can divide both sides by 17, so we get

So if we multiply both sides by 70, we get

So the height of the trapezoid is h=1/6 cm.

Answer:

7 calls in a day

Step-by-step explanation:

You divide 252 by 36 which equals 7

Answer:7 calls in a day

Step-by-step explanation:

Answer:

  (b) (infinite set of points on the line)

Step-by-step explanation:

The graph appears to show two coincident lines. The points they have in common is the solution set to the pair of equations they represent:

  (infinite set of points on the line)

Answer:

Step-by-step explanation:

The hummingbird drank 8 times its weight in water:

The hummingbird ate half its weight in food

Required equation:

Answer:

t= 8w + 1/2w

Step-by-step explanation:

The standard deviation of ^p is 0.012, rounded to 4 decimal places and the standard deviation of ^p with a sample size of 6000 is 0.006, rounded to 4 decimal places.

Given that 90% of young adult Internet users use social network sites, the probability of success in a single trial, denoted by p, is 0.9. The sample size is n = 1500. We want to find the standard deviation of the sample proportion, denoted by σ^p.

The formula for the standard deviation of the sample proportion is:

σ^p = sqrt[p(1-p)/n]

Substituting the values, we get:

σ^p = sqrt[0.9(1-0.9)/1500] = 0.012

Therefore, the standard deviation of ^p is 0.012, rounded to 4 decimal places.

STEP 2:

If the sample size were 6000 rather than 1500, the new sample size would be n = 6000. Using the same formula as before, we get:

σ^p = sqrt[0.9(1-0.9)/6000] = 0.006

Therefore, the standard deviation of ^p with a sample size of 6000 is 0.006, rounded to 4 decimal places.

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Answer:

11

Step-by-step explanation:

Volume of right cone = (1/3) · π · r² · h

V = 968π

h = 24 units

Let's solve

968π = (1/3) · π · r² · 24

2904π =  π · r² · 24

121π = π · r²

121 = r²

r = 11

So, the radius is 11 units.

Answer:

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Step-by-step explanation:

Principal(p)=$13,000

Rate(r)=3.0%

Period(n)=12 months

Time(t)=10 years

A=p(1+r/n)^nt

=13,000(1+0.03/12)^12*10

=13,000(1+0.0025)^120

=13,000(1.0025)^120

=13,000(1.3494)

=17,542.2

A=$17,542.2

Marcus will receive a total of $17,542.2 when he redeems the certificate of deposit (CD) at the end of 10 years

Answer:

x/x∈R,x≤5 1/6

Step-by-step explanation:

The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters

Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.

We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:

Volume of the cylinder = 3(1,782)

Volume of the cylinder = 5,346 cubic centimeters

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Answer:

Step-by-step explanation:

The volume of the cylinder that has same height and radius with the given cone is: D. 5,346 cubic centimeters

What is the Volume of a Cylinder?

Volume of a cylinder = 3(volume of a cone), given that the cylinder and the cone has the same radius and the same height.

We are told that a cone that has a volume of 1,782 cubic cm, has the same radius and height with a cylinder, therefore:

Volume of the cylinder = 3(1,782)

Volume of the cylinder = 5,346 cubic centimeters

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Answer:

7/6 or 1.17

Step-by-step explanation:

i made them have a common denominator of 24 and simplified.

hope this is right and helps! :)

Answer:

As repetition is not allowed,

For first digit selection, we have 8 choices.

for second digit selection 7 choices.

Similarly, 6 choices for 3rd digit, 5 choices for 4th digit and 4 choices for 5th digit.

Hence, total choices 8*7*6*5*4 = 6720

Step-by-step explanation:

Answer:

Just multiply each by 5

Step-by-step explanation:

5x125= 625

explanation:

multiply the previous term by 5

Number of edges of the final figure = 24.

Edge refers to the lines, drawing and connecting which, we may obtain various shapes and figures.

Given: A hexagonal pyramid which pyramid on the top of a hexagonal prism (refer to the image attached).

Number of edges = 24

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Answer: False

Step-by-step explanation:

Answer:

Step-by-step explanation:

\((20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29\)

Answer:

B. 29

Step-by-step explanation:

Use Pythagoras theorem.

a² + b² = c²

x is the hypotenuse.

20² + 21² = x²

400 + 441 = x²

841 = x²

√841 = √(x²)

29 = x

Answer:

wdym?

Step-by-step explanation:

Answers:

First row = 3

Second row = 12

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

Explanation:

Think of a square that has sides of 5 by 5. It's area will be 5*5 = 25. That means 25 is a perfect square.

We rule out 81 for similar reasons because 81 = 9*9

Also, 100 = 10*10 and 121 = 11*11

The only thing left is 3 which isn't a perfect square. We cannot multiply two of the same whole number to end up with an area of 3 square units.

Put another way, \(\sqrt{3}\) is not a whole number while something like \(\sqrt{81} = 9\) is a whole number.

This is all for the first row.

--------------------------

The second row is the same story.

4 = 2*2

9 = 3*3

144 = 12*12

36 = 6*6

This rules out everything but 12 in the second row. You can determine what is a perfect square through trial and error, or by memorizing what the perfect square numbers look like. With enough practice, they should be fairly memorized by some point.

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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Answer:

You can buy a maximum of 13 erasers/pencils.

Step-by-step explanation:

Your total is 20 dollars. The book cost 8.99, so you take away that amount from 20, getting you 11.01. You have $11.01 left. Then you divide your total (11.01) by the price of each eraser (0.79). This gets you 13.9367088608. Since thats not an even number, you have to round down because you don't want a broken pencil?eraser.

If working adults aged 22-25 spend an average of $14.27 a day on food with a standard deviation of $2.25, then Jeremy would spend approximately $23.27 per day if his expenditure is 4 standard deviations above the average.

To calculate how much Jeremy spends per day, we need to find a value that is 4 standard deviations above the average.

Mean (average) = $14.27

Standard deviation = $2.25

To find the amount Jeremy spends per day, we multiply the standard deviation by 4 and add it to the mean:

Jeremy's daily spending = Mean + (4 * Standard deviation)

Jeremy's daily spending = $14.27 + (4 * $2.25)

Jeremy's daily spending = $14.27 + $9.00

Jeremy's daily spending = $23.27

Therefore, Jeremy spends approximately $23.27 per day, rounded to 2 decimal places.

The concept used to solve the problem is based on the standard deviation and the number of standard deviations above the mean.

In statistics, the standard deviation measures the amount of variation or dispersion in a dataset. It tells us how spread out the data points are from the mean.

To find Jeremy's daily spending, we are given the average daily spending ($14.27) and the standard deviation ($2.25). Since Jeremy's spending is described as 4 standard deviations above the average, we need to multiply the standard deviation by 4 to get the amount.

By multiplying the standard deviation ($2.25) by 4, we obtain the additional amount Jeremy spends above the average. Adding this to the mean ($14.27) gives us Jeremy's daily spending of $23.27.

This approach allows us to calculate the value of Jeremy's spending based on the average, standard deviation, and the given number of standard deviations above the mean.

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Answer:

Step-by-step explanation:

4³/ 4^5

64 / 1024

= 1/16

if there appears to be a relationship in scatterplot 4,The linear relationship in scatterplot 4 appears to be negative.

When examining scatterplot 4, we can see that as the values of the x-axis increase, the values of the y-axis decrease in a linear relationship. This implies that as the values of the x-axis increase, the values of the y-axis decrease at a constant rate. This indicates a negative linear relationship between the two variables, meaning that as one variable increases, the other variable decreases in a linear fashion.

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Answer:

Step-by-step explanation:

Since, sum of central angles of a circle = 360°

Therefore, sum of all central angles formed by each math class = 360°

And measure of angles formed by each class will be in the same proportion as the percentage of seniors in each class.

Geometry → 27% of 360° = 97.2°

Precalculus → 4% of 360° = 14.4°

Advanced algebra → 33% of 360° = 118.8°

Consumer math → 36% of 360° = 129.6°

Answer:

There are 360 degrees in a circle so I need to do the percentage of 360

Geometry: 27% of 360 = 97.2 °

Consumer Math: 36% of 360 = 129.6 °

Advanced Algebra: 33% of 360 = 118.8 °

Precalculus: 4% of 360 = 14.4 °