A cube. The top face has points C, A, B, D and the bottom face has points G, E, F, H. Diagonals are drawn from B to C and from C to F. Side B F is 11 feet.
What are the exact lengths of BC and CF?

The length, in feet, of BC is the square root of
.
The length, in feet, of CF is the square root of
.

Answer:

According to the "Triangle TheOrem", a triangles interior angles are always a 180°.

Therefore, to find the last remaining angle of the triangle, you will have to find the measure of the bottom angles (65° + 65° = 130°) THEN subtract 180° by 130°

65°  +  65° = 130° (measures of the two bottom angles)

180° - 130° (to find the remaining angle!) = 50°

ANSWER = 50°

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Answer:

(5k-4)+2=46

(5k-4)+2-2=46-2

5k-4=44

5k-4+4=44+4

5k=48

5k/5=48/5

k=9.6

The expected number of choices needed to select the first CS PhD student is 4.

To solve this problem, we can use the concept of geometric distribution. The geometric distribution represents the number of independent and identical trials that are needed to obtain the first success, where the probability of success is p.

In this case, the probability of selecting a CS PhD student on any given trial is 50/200 = 0.25. Therefore, the number of trials needed to obtain the first CS PhD student follows a geometric distribution with p = 0.25.

The expected value of a geometric distribution with parameter p is given by E(X) = 1/p. Therefore, the expected number of choices needed to select the first CS PhD student is

E(X) = 1/p = 1/0.25 = 4

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Answer:

yes

Step-by-step explanation:

for a function to be a.. function every input must have a different output, that's pretty much it, but at the same time you can still have the same output as long as the input is different and the input only gives that one output

Answer:

yes

Step-by-step explanation:

Answer:

432

Explanation:

If the lumberjack follows Jim's instruction and cuts the log of wood into 24 parts the first time, the log of wood has 24 parts

If the lumberjack follows John's instruction to further cut the log of wood already cut into 24 parts then we would have 24×18= 432 parts of the log of wood

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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It will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

Let's use the formula for exponential growth to solve this problem:

N = N0 * 2^(t/k)

Where:

N0 = initial population (8 rabbits)

N = final population (5,800 rabbits)

k = doubling time (1 month)

t = time in months (what we're trying to find)

Substituting the values we have:

5,800 = 8 * 2^(t/1)

Dividing both sides by 8:

725 = 2^(t/1)

Taking the logarithm of both sides (base 2):

log2(725) = t/1

t = log2(725) ≈ 9.515

So it will take about 9.5 months (or 10 months rounded up) for the rabbit population to reach 5,800.

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The required probability that both are red out of total marbles is 0.0431 or 4.31%.

A probability is a number that mirrors the opportunity or probability that a specific occasion will happen. Probabilities can be communicated as extents that reach from 0 to 1, and they can likewise be communicated as rates going from 0% to 100 percent.

Total number of marbles in a jar = 40 + 11 = 51

Number of red marbles = 11, blue marbles = 40

At our first pull, there is an 11/51 chance that a red will be pulled and in second pull the probability is 10/50 , as one red marbles taken out.

Net probability = 11/51×10/50 = 0.0431

percentage probability = 4.31%

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Answer: 0.65

Step-by-step explanation:

Answer:

18 servings

Step-by-step explanation:

If one serving is 1/3 cup, one cup is 3 servings. Therefore, we can multiply 3 x 6 for an answer of 18 servings

Answer:

X=4/3

Step-by-step explanation:

3x=28/7

3x=4

X=4/3

Step-by-step explanation:

15+10z=105

10z=105-15

10z=90

z=9

Answer:

10:22 A.M.

Step-by-step explanation:

Let's start by writing 3:13 in 24-hour time: 15:13

15 hr 13 min - 1 hr 3 min = 14 hr 10 min

14 hr 10 min - 3 hr 48 min = 13 hr 70 min - 3 hr 48 min = 10 hr 22 min

Therefore, the absolute latest that Jaden can start the hike up the mountain is at 10:22 in the morning.

Answer:

Answer is D

Step-by-step explanation:

Answer:

It's D on e2020

Step-by-step explanation:

Answer:

  yes

Step-by-step explanation:

You want to know if the quadrilateral can be proven to be a parallelogram if opposite angles are congruent.

The angles of a quadrilateral have a sum of 360°. If there are two pairs of congruent angles, the sum of angles of each pair must be 180°. If adjacent angles are supplementary, then opposite sides are parallel. A quadrilateral with opposite sides parallel is a parallelogram.

Yes, the figure can be proven to be a parallelogram.

Answer:

25%

Step-by-step explanation:

To find what percentage of 40 is 10, you must do this:

10÷40 = 0.25

Then multiply by 100 to find the percentage:

0.25 × 100 = 25%

The answer is 25%.

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Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

I think they are vertical angles.

Hope this helps

the Nash equilibrium is not necessarily the best or most desirable outcome for the players involved. It simply represents a stable state where no player has an incentive to unilaterally deviate from their chosen strategy.

To determine the Nash equilibria in a game, we need to analyze the strategies of each player and identify the combinations of strategies where no player has an incentive to unilaterally deviate.

Given the options:

1. (P1=Shot, P2=Shot)

2. (P1=No shot, P2=No shot)

3. (P1=Shot, P2=No shot)

4. (P1=No shot, P2=Shot)

Let's analyze each combination:

1. (P1=Shot, P2=Shot):

If both players choose to shoot, they both face the risk of being shot and getting injured. Neither player has an incentive to deviate from this strategy, as changing to "No shot" would expose them to the risk of being shot without being able to retaliate. Therefore, (P1=Shot, P2=Shot) is a Nash equilibrium.

2. (P1=No shot, P2=No shot):

If both players choose not to shoot, they avoid the risk of being injured. Again, neither player has an incentive to unilaterally deviate from this strategy, as changing to "Shot" would expose them to the risk of being injured without gaining any advantage. Therefore, (P1=No shot, P2=No shot) is a Nash equilibrium.

3. (P1=Shot, P2=No shot):

If Player 1 chooses to shoot while Player 2 chooses not to shoot, Player 1 has an advantage and can potentially eliminate Player 2 without being injured. In this scenario, Player 2 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=Shot, P2=No shot) is not a Nash equilibrium.

4. (P1=No shot, P2=Shot):

Similarly, if Player 1 chooses not to shoot while Player 2 chooses to shoot, Player 2 has an advantage and can potentially eliminate Player 1 without being injured. In this scenario, Player 1 may have an incentive to deviate from "No shot" and switch to "Shot" to protect themselves. Therefore, (P1=No shot, P2=Shot) is not a Nash equilibrium.

Based on the analysis, the Nash equilibria in this game are:

- (P1=Shot, P2=Shot)

- (P1=No shot, P2=No shot)

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The value of price per pint is $3.88.

What is the total cost?

Total cost is an economic metric that includes both the initial cash outlay and the opportunity cost of the decision-makers options when calculating the costs incurred to produce a good, buy an investment, or acquire a piece of equipment.

Here, we have

Given: A 4-cup bottle of mouthwash costs $7.44.

We have to find the price per pint.

4 cups = 1 quart

2 pints = 1 quart

So you have 1 pint of mouthwash.

But there are two in the bottle.

Therefore you divide the price by 2

7.76 / 2 = 3.88 dollars.

Hence, the value of the price per pint is $3.88.

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Answer

you do 5x+70=110

Step-by-step explanation:

5x+70=110

5x=40

Divide by 5

x=8

Answer:

B /second bubble -3 1/3 is 10/3 and 4/9 is a reciprocal 9/4

answer: n = 20

Step-by-step explanation:To write an equation, define variables. n will be the number of nickels. d will be the number of dollars. We want to know the number of nickels so the equation will be equal to n. Since there are 20 nickels in each dollar, 1 dollar will have 20 nickels. 2 dollars will have 40 nickels or 2*20. For d dollars, it will be 20d.n = 20d

Answer:

To find the inverse, interchange the variables and solve for  y .

Step-by-step explanation:

f − 1 ( x ) = x /4 + 3

Step-by-step explanation:

If x=10

\(\tt{ x^2-2(x+5) }\) ⠀

\(\tt{ (10)^2-2×(10+5) }\) ⠀

\(\tt{100-2×15 }\) ⠀

\(\tt{ 100-30 }\) ⠀

\(\bold{ 70 }\) ⠀

Answer:

Step-by-step explanation:

third side=38-(10+16)=38-26=12

sides are 10 cm, 12 cm , 16 cm.

2s=10+12+16=38

s=38/2=19

area=√(s(s-a)(s-b)(s-c))

=√[19(19-10)(19-12)(19-16)]

=√[19×9×7×3]

=3√391 cm²

≈59.32 cm²

The equation of the regression line is y = 0.430x + 3.59.

A characteristic of the data that is ignored by the regression line is that: A. The data has a pattern that is not a straight line.

In order to determine a linear equation for the regression line (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatterplot).

In this scenario, the x-values would be plotted on the x-axis of the scatterplot while the y-values would be plotted on the y-axis of the scatterplot.

On the Excel worksheet, you should right click on any of the data point on the scatterplot, select format trend line, and then tick the box to display an equation for the regression line (trend line) on the scatter plot.

By critically observing the scatterplot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the regression line (trend line) is given by:

y = 0.430x + 3.59

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