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The requried volume of the pyramid is 64.9 cubic meters.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:

15.4 / 4 = 3.85

Therefore, the area of the base is:

A = (3.85)² = 14.8225 square meters

The volume of a pyramid is given by the formula:

V = (1/3) * A * h

where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:

V = (1/3) * 14.8225 * 13.1

V = 64.91925 cubic meters

Rounding to the nearest tenth of a cubic meter, we get:

V ≈ 64.9 cubic meters

Therefore, the volume of the pyramid is approximately 64.9 cubic meters.

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Answer:

I would say that shape E  and A has symmetry.

Step-by-step explanation:

The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.

If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.

Answer:

Step-by-step explanation:

Put x = -3, y = 4 and w = -6 to the expression xy/w = (xy) : w

(-3 · 4) : (-6) = -12 : (-6) = 2

Problem 1

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

Explanation:

The scale factor is DE/AB = 1.34/2 = 0.67

This means DE is 67% of the length of AB

Or you could say that DE = 0.67*AB

This means that

DF = 0.67*AC

DF = 0.67*4

DF = 2.68

Side note: AC and DF are the first and last letters of ABC and DEF respectively. This is why AC and DF correspond together.

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Problem 2

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

Explanation:

We'll use the same scale factor to find EF

new side = (scale factor)*(old side)

EF = 0.67*BC

EF = 0.67*3

EF = 2.01

Side note: BC and EF are the last two letters of ABC and DEF respectively, so BC corresponds to EF.

Step-by-step explanation:

(a)(i) The average rate of change is:

(895 − 455) / (250 − 150)

4.4

(a)(ii) Since the profit is linear, the slope of the line is equal to the average rate of change.  Using point-slope form:

y − 455 = 4.4 (x − 150)

Simplifying to slope-intercept form:

y − 455 = 4.4x − 660

y = 4.4x − 205

(a)(iii) The break-even point is when the profit is 0.

0 = 4.4x − 205

4.4x = 205

x = 46.6

(b)(i) The "demand function" is the selling pice of the compasses:

p = 40 − 4q²

where p is the price in dollars and q is the quantity in millions of units.

Profit is revenue minus cost.

P = R − C

P = pq − 15q

P = (p − 15) q

P = (25 − 4q²) q

P = 25q − 4q³

where P is the profit in millions of dollars and q is the quantity in millions of units.

(b)(ii) Find values of q when P = 18.

18 = 25q − 4q³

4q³ − 25q + 18 = 0

We know that q=2 is a root of this equation.  Using grouping:

4q³ − 8q² + 8q² − 25q + 18 = 0

4q² (q − 2) + (q − 2) (8q − 9) = 0

(q − 2) (4q² + 8q − 9) = 0

4q² + 8q − 9 = 0

Solve with quadratic formula.

x = [ -b ± √(b² − 4ac) ] / 2a

q = [ -8 ± √(8² − 4(4)(-9)) ] / 2(4)

q = (-8 ± √208) / 8

q = (-8 ± 4√13) / 8

q = (-2 ± √13) / 2

Since q is positive, q = (-2 + √13) / 2, or approximately 0.803.

Answer:

[tex]\frac{1}{500}[/tex]

Step-by-step explanation:

0.002 is in the thousandths place. Therefore, [tex]\frac{2}{1000}[/tex] is simplified to [tex]\frac{1}{500}[/tex].

Answer:

Step-by-step explanation:

5

You are correct. The answer is choice B.

The base angles of an isosceles triangle are congruent. The base angles are opposite the congruent sides as shown by the tickmarks.

Given parameters:

   Coordinates of the points =  (3,4) and (19, 16)

Unknown:

The distance between the points = ?

The midpoint  = ?

Solution:

  The distance between two points can be mathematically solved using;

    D  = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

 where  x₁  = 3, x₂  = 19  and y₁  = 4, y₂  = 16

Input the parameters and solve;

   D  = [tex]\sqrt{(19 - 3)^{2} + (16 - 4)^{2} }[/tex]   = 20

Midpoint;

    The expression is given as;

     x[tex]_{m}[/tex] , y[tex]_{m}[/tex]  = [tex]\frac{x_{1} + x_{2} }{2}[/tex]  , [tex]\frac{y_{1} + y_{2} }{2}[/tex]

         input the parameters and solve;

                   = [tex]\frac{3 + 19}{2}[/tex]  , [tex]\frac{4 + 16}{2}[/tex]

                   = 11 , 10

The midpoint is (11, 10)

Answer:  1.82

Step-by-step explanation:

Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.

= 1.82

Answer:

967.74

Step-by-step explanation:

The average daily balance of the credit card for the August 1 - August 31 billing period is $943.55.

The average daily balance can be determined by dividing the total daily balaces for August by the number of days in August.

The average daily balance = total balance / total number of days in Augst.

Total balance = (1500 x 3 days) + (1100 x10 days) + (850 x 10 days) + (750 x 7 days)

Total balance = 4500 + 11,000 + 8,500 + 5,250 = 29,250

The average daily balance = 29250 / 31 = $943.55

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Answer:

[tex]5.30100005301 * 10^{15}[/tex]

The probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The probability of rolling a 4 on a number cube is 1/6, since there is one way to roll a 4 out of six possible outcomes (1, 2, 3, 4, 5, 6).

The probability of pulling a red marble out of the bag is 3/10, since there are three red marbles out of a total of ten marbles.

To find the probability of both events happening (rolling a 4 and pulling a red marble), we multiply the probabilities:

(1/6) x (3/10) = 1/20

Therefore, the probability of rolling a 4 on a number cube and pulling a red marble out of the bag is 1/20.

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Answer:

53/10

Step-by-step explanation:

First do 10 time 5 to get 50 then add 3 for 53.

tl;dr: A.) [tex]\frac{53}{10}[/tex]

Hello!

A very easy way to write mixed fractions as improper fractions is to multiply the denominator and the whole number, and then add the numerator to your product. Make sure you keep the same denominator as before.

So, first you multiply.

10 · 5 = 50

Now, you add the numerator.

50 + 3 = 53

Remember to keep your denominator.

[tex]\frac{53}{10}[/tex]

Your answer is A.) [tex]\frac{53}{10}[/tex]

Hope this was helpful. Have a great day!

Answer:

$20

Step-by-step explanation:

Leila to Jo: $5/$9

Leila to Jo: x/$36

5/9 = x/36

Cross multiply.

9x = 5 * 36

Divide both sides of the equation by 9.

x = 5 * 4

x = 20

Answer: $20

Answer: 20

Step-by-step explanation:

The ratio is 3/4, or 0.75. The team scores 3-pt. baskets on 75% of shots taken. 27 x .75 = 20.25 (round to 20)

Answer:

the answer is Y=-x+5

Step-by-step explanation:

Answer:

3/5 is the number that can be distributed across two terms inside parentheses.

you might not need it but:

x = 5

Step-by-step explanation:

3/5(x - 10) = 18 - 4x - 1

using distributive property, open the parentheses:

3/5x - 6 = 18 - 4x - 1

Simplify:

3/5x + 4x = 17 + 6

4⅗x = 23

x = 5

Answer:

It's 3/5

Step-by-step explanation:

It's 3/5

Answer:

25+19x=t At least I think

ANSWER

0.12

EXPLAINATION:

turn 4 into a fraction ( 4/1 )

divide 12/25

since you cant divide fractions, you use KCF (keep change flip)

keep 12/25 changed division to multlication and flip 4/1 to 1/4

now multiply 12/25 x 1/4

Your answer is 0.12

Hope this helps!!

Answer:

The bottom left option

Step-by-step explanation:

The answer is equal to 44.

Answer:

bottom left

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

5/10 x 7 = 35/50

Answer:

35/70

Step-by-step explanation:

mnbvcxAnswer:

Step-by-step explanation:dfghjmjnhgf

This question is incomplete, the complete answer is;

If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.

Below, match each of the four players with their respective z-scores for height.

a. Dustin

b. Ferguson

c. Wilson

d. Crosby

1. A= 0.97

2. B= 0.48

3. C= -1.00

4. D= +1.46

Answer:

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Step-by-step explanation:

Given that;

their mean height u = 73.03

standard deviation α = 2.03

now the z-score height for each player;

a-  Dustin Byfuglien (Winnipeg Jets) Height = 75

z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97

b-  Dylan Ferguson (Vegas Golden Knights) Height = 74

z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48

- Tom Wilson (Washington Capitals) Height = 76

z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46

Sidney Crosby (Pittsburgh Penguins) Height = 71

z = (x - u) / α = (71 - 73.03) / 2.03 =  -2.03 / 2.03 = - 1.00

Therefore

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Step-by-step explanation:

Change each number to an improper fraction.

Simplify if possible.

Multiply the numerators and then the denominators.

Put answer in lowest terms.

Check to be sure the answer makes sense.

Answer:

Step-by-step explanation:

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.

A function can be represented algebraically. For example, 3x+6 3 x + 6 .

A function can be represented numerically.

A function can be represented graphically.

There are three ways in which representations of a function are used to determine are, algebraic, numerical, and graphical .

Given that,
To explain the way the representation of a function for the relationship between quantities.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
There are three ways in which the representations of a function are used to determine the relationship between the quantities,
(a) algebraic, (b) numerical, and (c) graphical.

Thus, there are three ways, algebraic, numerical, and graphical.

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9514 1404 393

Answer:

  supplement of ∠B = 180° -x°

Step-by-step explanation:

The supplement of an angle is the difference between 180° and that angle.

  supplement of ∠B = 180° - m∠B

  supplement of ∠B = 180° -x°

Answer:

W-10

Step-by-step explanation:

Plzz mark me brainlest as it really need it to level up

Answer:

id say graph d solve it out and thats the only thing i got close to

Step-by-step explanation:

Answer:

it's the one in the top right(graph B), the soultion to graph b is (3,-1)

Step-by-step explanation:

Like the other answer says you solve it out, then you look at the intercepts and use the prosses of elimanation.

the top equation is: y= -1/2x -2.5

the bottom equation is: y= -1/5x -0.4