A playhouse is in the shape of a regular octagonal pyramid with a side length of 3 feet an a slant height of 12 feet. The wood used to build the walls of the playhouse costs $3 per square foot. What is the cost of the wood for the walls of the playhouse?

The angle bisector theorem states that a triangle's opposite side is divided into two halves by an angle bisector that is proportional to the triangle's other two sides.

A point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects, therefore if mACD = 90°, point D is equidistant from points A and B.

Any point on the perpendicular bisector is simply equal distance from both endpoints of the line segment on which it is drawn, according to the perpendicular bisector theorem.

The answer is that point  is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it makes up. Therefore, if a pillar is stationed at the middle of a bridge at an angle, all the points on the pillar will be equidistant from the end points of the bridge intersects.

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Answer:

Lesser returns > T bills

Higher risks > A-rated bonds

Costly and time consuming > Property

No steady cash flow > stocks

Step-by-step explanation:

I just took the test

Step-by-step explanation:

remember, a probability is always the ratio of

desired cases / totally possible cases

it starts with all the combinations of 4 out of 12 (= 8 + 4) choices

C(12, 4) = 12! / (4! × (12-4)!) = 12! / (4! × 8!) =

= 12×11×10×9 / 24 = 11×5×9 = 495

these are our totally possible outcomes.

the desired outcomes with only 4 men in the selected group out of 12 people is the same amount as the possible selections of 4 men out of the available 8 men :

C(8, 4) = 8! / (4! × (8-4)!) = 8! / (4! × 4!) =

= 8×7×6×5 / 24 = 2×7×5 = 70

any other combination of C(12, 4) must contain at least 1 woman.

so the probability of getting 4 men out of the random pull is

70/495 = 0.1414141414...

we could get that also by saying the probability to get a man on the first pull is (12 people in total, 8 "desired" period with the right gender)

8/12 = 2/3 = 0.666666666...

now, we have 7 men out of 11 total people for the second pull. the probability here is

7/11 = 0.636363636...

then we have 6 men out of 10 total people for the third pull. the probability here is

6/10 = 3/5 = 0.6

and lastly, we have 5 men out of total 9 people for the fourth pull. the probability is

5/9 = 0.555555555...

the probability to get 4 men out of the random pulling is the combination of these 4 individual probabilities :

2/3 × 7/11 × 3/5 × 5/9 = 210 / 1485 = 70/495 =

= 0.1414141414...

it is confirmed.

Answer:

86.7

Step-by-step explanation:

the circumference = 2 x pi x radius

13.8x2.3.14=86.7

Answer:

87

Step-by-step explanation:

there you go

Answer:

5x-7-5+X=5-x-5+X

or,6x-12=0

or,6x=12

or,X=12/6

:.X=2

1 milliliter (ml) is equal to 1 gram (g). This is because the volume of a liquid is equal to its mass, so the same volume of liquid will weigh the same as its mass in grams.

This is why 1 ml has a mass of 1 g. However, this only applies to liquids; for solids, the mass and volume will be different. For example, 1 ml of water weighs 1 g, while 1 ml of sugar weighs 2.2 g.

The metric system is based on the international system of units, which is the most widely used system of measurement in the world. It is based on the concept of a base unit and then multiplying or dividing it by powers of 10 to get other units. In the metric system, the base unit for volume is a liter (L) and milliliter (ml) is a fraction of a liter (1 ml = 0.001 L).

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Answer:

49,500-41x

Step-by-step explanation:

Answer:

is there a picture

Step-by-step explanation:

Answer:

$14.04/hr

Step-by-step explanation:

Answer:

6 words per minute

Step-by-step explanation:

Divide 36 by 6 minutes to find how many words per minute

Answer:

6 words per minute

Step-by-step explanation:

36 words/ 6 minutes = 6 words per minute

The inequality 6(4q − 8) > 8(3q + 2) have no solution.

The inequality can be solved as follows:

An inequality is an expression that has <, >, ≤ and ≥ symbols.

Therefore,

6(4q − 8) > 8(3q + 2)

open the bracket on both sides of the inequality

6(4q − 8) > 8(3q + 2)

24q - 48 > 24q + 16

add 48 to both sides of the inequality

24q - 48 > 24q + 16

24q - 48 + 48 > 24q + 16 + 48

24q > 24q + 64

Subtract 24 q from both sides of the inequality

24q > 24q + 64

24q - 24q > 24q - 24q + 64

0 > 64

The inequality cannot be solved

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The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

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The annual percentage yield is 4.835%. Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest compounded daily.

An annual percentage rate, or APR, is a figure that expresses the entire cost of borrowing money as a proportion of the loan's principle. An accurate picture of how much it costs to borrow money is intended to be provided by the APR on a loan or credit card.

Given

Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest

compounded daily.

1.048353

The table on page A14 shows the cost per $1.00 (over the course of a year).

$35,000×1.048353=$36,692.36

The sum of the initial principle and the amount per $1.00 is the amount (for a year).

$36,692.36−$35,000=$1,692.36

The difference between the amount (for one year) and the initial principal is the interest (for one year).

$1,692.36÷$35,000

=0.04835

=4.835%

The interest (for a year) divided by the initial principle results in the annual percentage yield.

4.835%

The annual percentage yield is 4.835%. Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest compounded daily.

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Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

(5,1)

Step-by-step explanation:

Step-by-step explanation:

113,1 cm^3

The volume of the sphere is V = 113.097 cm³

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the radius of the sphere be r = 3 cm

Let the volume of the sphere be V

The formula for the volume of a sphere is:

V = (4/3)πr³

where r is the radius of the sphere and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 3 cm into the formula, we get:

V = (4/3)π(3 cm)³

V = (4/3)π(27 cm³)

V = (4/3)(3.14159)(27 cm³)

V = 113.097 cm³

Hence , the volume of the sphere is 113.097 cm³ when the radius is 3 cm.

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Answer:

Step-by-step explanation:

Start with the piecewise definition of the absolute value function

y = f(x) = |x|

\(f(x) = \left \{ {f(x);\;{x\ge=0} \atop {{-f(x);\;{x < 0}} \right.\)

Substitute x + 5 for f(x)
\(|x+5| = \left \{ {x+5;\;{x+5\ge=0} \atop {{-(x+5);\;{x + 5 < 0}} \right.\)

Note that at x = 5, |x + 5| = 0 and therefore we have a unique point (-5, -2). This is where the function changes

Simplify the inequalities
x + 5 ≥ 0  ==> f(x) =  x ≥ -5

-(x+5) < 0 ==> -x -5 < 0 = -x < 5 or x >=5

Separate the two pieces
y = (x + 5); x ≥ -5
y = -x - 5; x < -5

Subtract 2 from both sides of the function
y = (x + 5) - 2 when x ≥ -5  or y = x + 3 when x ≥ -5

y = -x - 5 - 2 when x < -5   or y = - x - 7 when x < -5

Correct answer choice is the  last one
y = x + 3 for x ≥ -5 and y = -x -7 for x < -5

If you look at the attached graph of y = |x| -2  you will see this is consistent with the above piecewise function

For example at x = -3 which is greater than x = -5, y = 0 and x+3 = -3 + 3 = 0

At x = -7 which is less than -5, also y = 0 and -x -7 = -(-7) - 7 = 7-7 = 0

Answer:

obtuse angle

Step-by-step explanation:

m(<CEA)=m(<BED)=88 (vertically opposite angles)

So m(<CEB)+m(<AED)=360-(88+88)=182

m(<CEB)=m(<AED)= 182÷2=92

Answer:

$8.05(7.5)= $60.375

Step-by-step explanation:

Just multiply the two together.

I think you would round to $60.38

but 60.375 is the exact answer

Using basic mathematical operations such as addition, there was a total of 17,243 people who went to the NEC on Sunday.

Basic mathematical operations include addition, subtraction, multiplication, and division.

Addition is combining two or more values to come up with a total or sum.

If there were two exhibitions at the NEC on Sunday, and 3816 people went to one of the exhibitions and 13427 people went to the other exhibition, then the sum of these numbers are the total number of people who went to the NEC on Sunday.

total number of people = 3816 + 13427

total number of people = 17,243

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Answer:

B. X > 8

Step-by-step explanation:

when dividing a negative denominator, you are flipping the sign. if the denominator doesn't have a negative sign, the sign isn't flipped.

steps:

subtract 30 by -18.

Soon you receive -48. Divide that by -6.

The signs soon flip giving you X> 8

the interquartile range of that plot is 10

q3 is 30 and q1 is 20 so you subtract 20 from 30 to get 10

Answer:

10

Step-by-step explanation:

The correct answer is option c. 35.3%. The annual percentage yield (apy) for money invested at the given annual rate of 3.5% compounded continuously is  35.3%.

The annual percentage yield (APY) is a measure of the total interest earned on an investment over a year, taking into account the effects of compounding.

To calculate the APY for an investment with continuous compounding, we use the formula:

\(APY = 100(e^r - 1)\),

where r is the annual interest rate expressed as a decimal.

In this case, the annual interest rate is 3.5%, which, when expressed as a decimal, is 0.035. Plugging this value into the APY formula, we get:

\(APY = 100(e^{0.035} - 1).\)

Using a calculator, we find that \(e^{0.035\) is approximately 1.03571. Substituting this value back into the APY formula, we get:

APY ≈ 100(1.03571 - 1) ≈ 3.571%.

Rounding this value to the nearest hundredth of a percent, we get 3.57%.

Among the given answer choices, option c. 35.3% is the closest to the calculated value.

Options a, b, and d are significantly different from the correct answer.

Therefore, option c. 35.3% is the most accurate representation of the APY for an investment with a 3.5% annual interest rate compounded continuously.

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Answer:

15x -14

Step-by-step explanation:

(5x-2)+(4x-4)+(6x-8)

Combine like terms

(5x+4x+6x-2+-4-8)

15x -14

Answer:

Step-by-step explanation:

\((5x - 2) + (4x - 4) + (6x - 8) \\ 5x - 2 + 4x - 4 + 6x - 8 \\ 5x + 4x + 6x - 2 - 4 - 8 \\ 15x - 14\)

Answer:

1/4 pizza each

Step-by-step explanation:

2 / 8 = 1/4

Hope that helps!

-Sabrina

Answer:

If 8 friends share 2 pizzas, we'll divide.

2 pizzas, divided by 8 friends:

(2 pizzas)/(8 friends) = (2/8) pizzas/friend = (1/4) pizzas per friend

Each friend gets to eat a quarter of a pizza.

Step-by-step explanation:

Answer:

Desmos is a free graphing and teaching tool for math available on the web as well as on iOS and Android. In addition to plotting equations, classroom activities are available to help students learn about a variety of math concepts.

A definition of Desmos has been given below

What is Desmos?
Desmos can be applied in a variety of contexts. Students can avoid spending $100 on a graphing calculator by using it for free. It can be used by teachers to create stunning images for tests and presentations. But Desmos really shines in the classroom exercises. Teachers can use Desmos to assist students in making the connection between mathematical concepts and actual, concrete shapes and images. It's simple to begin an activity with your students: Just instruct the children to enter the website's activity code. Try the student preview of an activity before assigning it. In the teacher moves section at the bottom of each activity, you can find specific ways to guide your children while they work. The teacher dashboard allows for the tracking of progress.

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Answer:

2+3

Step-by-step explanation:

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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