A box in the shape of a cube has a side length of 1 1/2 feet. What is the volume of the box?

The measures of angles A and B must be complementary (add up to 90°) and differ by 90°If sin A = cos B, then we can use the trigonometric identity sin A = cos (90° - A) to get:

sin A = cos B

sin A = sin (90° - B)

Setting the two expressions for sin A equal to each other, we have:

cos B = sin (90° - B)

Using the trigonometric identity sin (90° - x) = cos x, we can write:

cos B = cos (90° - B)

This means that either:

B = 90° - A

or

B = A + 90°

In other words, the measures of angles A and B must be complementary (add up to 90°) and differ by 90°.

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Answer:

Step-by-step explanation:

The sum of 1/2 and y is equal to 3/4.

The equation to represent this is:

The graph (A) in the picture represents the solution to the inequality, option (A) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are missing.

The graph is in the picture, please refer to the picture.

We have an inequality:

y − 2x ≤ 1

The above inequality represents a straight line with a positive slope.

The right side region of the line is representing the solution to the inequality.

Graph (A) represents the inequality.

Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.

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The Area of tile is 190 cm².

We have a trapezoid whose dimensions are:

base 1 = 12 cm

base 2 = 26 cm

Height= 10 cm

Now, the formula for Area of Trapezoid is

= 1/2 x (sum of parallel base) x height

= 1/2 x (base 1 + base 2) x height

So, Substituting the value of base and height in the above formula we get

Area of Trapezoid

= 1/2 x (12 + 26) x 10

= 1/2 x 38 x 10

= 19 x 10

= 190 cm²

Thus, the Area of tile is 190 cm².

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Answer:

degrees ⋅(π radians /180 degrees )

the (π180) means that for every π radians you go around the unit circle, you've gone 180 degrees.

315 degrees ⋅(π radians /180 degrees )

315 and 180 are both divisible by 45 , so.

74⋅π radians = 74π radians.

Answer:

nm/100

Step-by-step explanation:

We use the followig property of triangles:

• One side cannot be equal or greater than the sum of the other two sides

The sides of this triangle are: 11, 9 and 17.

The sum of the first two sides is: 11+9=20

The sum of the two sides is greater than the other remaining side (17).

Thus, 11, 9 and 17 do not make a triangle.

It has been proved that the lines MN and PR are parallel because they have the same slope.

We are given the coordinates of the points P, Q and R as:

P(-3, -6)

Q(1, 4)

R(5, -2)

Since M is the midpoint of PQ, we have:

M = (-3 + 1)/2, (-6 + 4)/2

M = (-1, -1)

N is the midpoint of QR and so:

N = (1 + 5)/2, (4 - 2)/2

N = (3, 1)

Slope of MN = (1 + 1)/(3 + 1) = 1/2

Slope of PR = (-2 + 6)/(5 + 3)

Slope of QR = 4/8 = 1/2

Both slopes are equal and as such they are parallel lines

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Answer:

m=1 (0,3)

Step-by-step explanation:

m=1

slope is 1 because from left to right the line goes up and you move one 1and one to the left so m=1/1 =1

y-intercept is at (0,3) because is where the line intersects the y-axis

Answer:

No I don’t think they are

Step-by-step explanation:

Because when you solve them their different

Answer:

34.5

Step-by-step explanation:

The absolute value of -|-34.5| is -34.5. So, -34.5 is 34.5 away from 0.

Answer:

34.5 units.

Step-by-step explanation:

When we simplify -|-34.5|, we get -34.5, which is basically 34.5 units away from 0.

Hoped this helped.

Answer:

49/54

Step-by-step explanation:

49/54 = 0.9074074074 ≈ 0.9

8/9 = 0.888888....

0.9 > 0.8888....

Therefore:

49/54 > 8/9

49/54 should be the bigger fraction.

Answer:

49/54

Step-by-step explanation:

\(\frac{49}{54}\) is bigger because when brought to decimal form, it equals 0.9074... while \(\frac{8}{9}\) equals 0.8889

The rational number, which expresses a loss of $ 25. 30 is -253/10 = -25.30. So, option(b) is right one. Similarly, The rational number, which expresses a gain of $ 31.10 = 311/10 = 31.10. So, option(a) is right one.

A rational number is a number that can be represented as the quotient or fraction \( \frac{p}{q}\) of two numbers, a numerator p and a non-zero denominator q. Loss always implies something lose or decrease and profit represents something gain or increase. So, loss denotes by negative sign and profit by positive sign. We have to determine rational numbers that expresses a loss of $25.30 and a profit of $31.10. First we consider the loss, to express in rational number form, Loss

= -253 ÷ 10

= -25.3

In case of Profit, express in form of rational numbers as profit, 31.10 = 3110 ÷100 = 311 ÷ 10

= 311/10 = 31.1

Hence, the rational number that expresses a loss of $ 25. 30 is -25.3, and the rational number that represents a profit of $ 31.10 is 31.1.

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Complete question :

The rational number that expresses a loss of $25.30 is ?

a) +$25.30

b) -$25.30

c) +$2.53

d) -$2.53.

and the rational number that represents a profit of $31.10 is

a) +$31. 10

b) -$31. 10

c) +$3. 11

d) -$3. 11.

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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If we consider all possible mixed strategies for player 2, then the number of strategies that player 2 has is infinite.

In the extensive-form game provided, player 2 has two decision points where they can choose between two actions, C and F in the first decision point and G and not-G in the second decision point. Therefore, player 2 has 2 x 2 = 4 pure strategies.

However, player 2 can also mix their strategies in each decision point, choosing a probability distribution over the available actions. For example, in the first decision point, player 2 can play a mixed strategy where they choose C with some probability and F with the complementary probability. Similarly, in the second decision point, player 2 can mix their strategies by choosing to play G with some probability and not-G with the complementary probability.

So, if we consider all possible mixed strategies for player 2, then the number of strategies that player 2 has is infinite.

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In the extensive-form game that follows, how many strategies does player 2 have?

The times the length of Noah's bike ride was Mai's bike ride as calculated from the data given in the question is found out to be 1.5 times.

Distance travelled by Mai = 6(3/4 ) = 27/4 miles

Distance travelled by Noah= 4( 1/2 ) = 9 / 2 miles

Therefore , the number of times by which Noah's bike ride is greater than Mia's bike ride is ,

27/4 = 9x/2

x = 1.5 times.

Distance is a concept in physics which tells us about the difference between the starting and the end point of an object. It has a magnitude and can be represented in terms of meters , centimeters etc.

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It will cost his parents $187.5 to invite 15 friends to his party because it cost $12.5 to invite just one.

The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a single unit. The unitary technique, for instance, may be used to calculate how many kilometers a car would go on one litre of gas if it travels 44 km on two litres of fuel.

Here,

For inviting 20 friends, The cost of party was $250.

So for 1 friend,

=250/20

=$12.5

Now he wish to invite 15 friends,

=12.5*15

=$187.5

The cost of inviting 15 friends to his party will cost $187.5 to his parents as cost of inviting 1 friend was $12.5.

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Answer: 19.5

Step-by-step explanation:

obtuse + acute = 180

131 + t = 180

t = 49 degrees for the top angle

49 + 61 + 4x-8 = 180 degrees in a triangle

110 + 4x - 8 = 180

102 + 4x = 180

4x = 78

x = 19.5

Answer:

x = 19.5

Step-by-step explanation:

The interior angles of a triangle will ALWAYS have a sum of 180°

Answer:i think its 115 degres

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

Probability helps us to know the chances of an event occurring. The probability of two cards being black without replacement is 24.5%.

Probability helps us to know the chances of an event occurring.

\(\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\)

Given the standard deck has 26 black cards while the total number of cards is 52. Therefore, the probability of two cards being black without replacement is,

Probability = (Probability of the first card is black) × (Probability of the second card being black)

Probability = (26/52) × (25/51)

Probability = 0.245 = 24.5%

Hence, the probability of two cards being black without replacement is 24.5%.

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Answer: B

21x^2-17x+2

Step-by-step explanation:

The first six terms sequence the limit is 1.

To find the first six terms of the sequence defined by the formula aₙ = (3n - 1) / (2n + 1),substitute the values of n from 1 to 6 into the formula. calculate the values:

For n = 1:

a₁ = (3(1) - 1) / (2(1) + 1) = 2 / 3

For n = 2:

a₂ = (3(2) - 1) / (2(2) + 1) = 5 / 5 = 1

For n = 3:

a₃ = (3(3) - 1) / (2(3) + 1) = 8 / 7

For n = 4:

a₄ = (3(4) - 1) / (2(4) + 1) = 11 / 9

For n = 5:

a₅ = (3(5) - 1) / (2(5) + 1) = 14 / 11

For n = 6:

a₆ = (3(6) - 1) / (2(6) + 1) = 17 / 13

If the sequence appears to have a limit by observing the pattern of the terms.

The first six terms of the sequence are:

a₁ = 2/3,a₂ = 1,a₃ = 8/7,a₄ = 11/9,a₅ = 14/11,a₆ = 17/13.

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Answer:

azsxdfghjmk,l,kjhgfd

Step-by-step explanation:

The proved oil reserves in the globe were projected to be 1,000 billion barrels by the World Resources Institute in 1997, while the eventually recoverable reserves were predicted to be 2,000 billion barrels. 75 years old

The World Resources Institute (WRI) has offices abroad in Brazil, China, India, Indonesia, Mexico, and the United States. The organization's goal is to advance human health and wellbeing, economic opportunity, and environmental sustainability.  WRI collaborates with regional and federal governments, private businesses, publicly traded firms, and other non-profit organizations to provide services addressing challenges such as the global climate change, sustainable markets, ecosystem protection, and environmentally conscious governance.  Since the first of October 2008, WRI has maintained a Charity Navigator rating of 4 out of 4.

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Answer:

four nine dollar books

Step-by-step explanation:

36 divivded by 9