In Exercises 1 and 2, classify the triangle by its sides and by measuring its angles.

Answer = 1/2

9/14 = 0.64

Answer: x=12

Step-by-step explanation:

first you add 4 to both side to make it 2x=24 then you divide both side by 2 to get 12 so x=12.

Answer:

Step-by-step explanation:

Firstly you want to get x alone on one side of the equation. So to do that you move 4 to the other side of the equation. When a number crosses the equal sign, the sign (+/-) switches. Hence 2x - 4 = 20 becomes 2x = 20 +4. Which gives you 2x  = 24.  Now you can solve for x.

2x is really 2 multiplied by x. The opposite of multiplication is division so to get rid of the 2 and get x alone on one side, you divide 24 by 2.

So the equation becomes x = 24/2 (24 divided by 2)

This gives you x = 12.

I hope this helped.

Answer:

Step-by-step explanation:

F,E,D,C,B

2,4,8,16,32

B32

Answer:

I believe the answer is 7 pages for 6 postcards on each page

Step-by-step explanation:

I believe the correct answer is 7 pages because

7×6=42

7 pages, 6 cards, and 42 postcards

So for Abner to scrapbook 42 cards for every 6:1 pages he will need 7 pages.

Answer:

a. -6

b. 11.3

Step-by-step explanation:

Answer: a. -6    b. 11.3

Step-by-step explanation:

[tex]\displaystyle\\a.\\2((-3)^2+\frac{3}{2})+(-3)^3=\\\\2(9+1.5)+(-27)=\\\\2(10.5)-27=\\\\21-27=\\\\-6\\\\b.\\(-4)^2+\frac{15.7-3(2.1)}{-2} =\\16+\frac{15.7-6.3}{-2} =\\\\16+\frac{9.4}{-2} =\\\\16+(-4.7)=\\\\16-4.7=\\\\11.3[/tex]

The required given relationship between the radius and circumference of the circle is not a proportional relationship.

Given that,
A class measured the radius and circumference of various circular objects.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here
For the proportional relationship,
the ratio of y / x should be equal but,
18 / 3 ≠ 25/4
Which implies that the relationship is not proportional.

Thus, the required given relationship of the radius and circumference of the circle is not a proportional relationship.

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Answer:

26352

Step-by-step explanation:

Answer: 36.1481481481. So approximately 36.1

Step-by-step explanation:

Answer: uf

Step-by-step explanation:

Answer:

Associative Property

Step-by-step explanation:

Associative Property is the ability to change the order of an equation, and get the same result.

For example:

(1 + 2) + 3 = 6

If you were to take this equation, and this equation:

3 + 2 + 1 = 6

These numbers are in a different order, but the answer is the same!

It goes the same way for your problem.

57/80 + 21/80 and 21/80 + 57/80.

Therefore, the property to help you would be Associative Property.

The smallest positive solution is 13.28⁰.

Trigonometry is a discipline of mathematics dealing with particular angle functions and their application to computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names.

Given,

sin (2x)cos(6x) - cos(2x)sin(6x) = - 0.8

Let, assume 2x = A and 6X= B

As we know, sin (A-B) = sin A cos B - cos A sin B

Putting the value of 2x and 6x in the given equation, we get

or, sin A cos B - cos A sin B = -0.8

or, sin (A-B) = -0.8

or, sin (2x-6x) = - 0.8

or, sin (-4x) = - 0.8

or, - sin 4x = - 0.8

or, sin 4x = 0.8

Apply sin on both side we get,

or, sin⁻¹ (sin 4x) = sin⁻¹ (0.8)

or, 4x = 53.13

or, x = 13.28⁰

The smallest positive solution is 13.28⁰.

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It will take 88 hours to fill the order if the number of machines is; deceased by a factor of 4.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that Six machines working simultaneously can complete a big order in 22 hours.

Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, then we simply going to increase the work hours by a factor of 4.

Therefore Increasing the work hours by a factor of 4 will

22 x 4 = 88 hours

Hence it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4.

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Answer:

44

Step-by-step explanation:

guys lat asnwer was correct too but she just did 4 instead of 2 so just divided her answer by 2 which sums up to 44

Answer:

8

Step-by-step explanation:

Question:

What is the greatest common factor of 32 and 40?

Find the factors of 32 and 40:

The factors are all the numbers the we can divide 32 or 40 by, and the result will be a whole number. Example:32/1= 32, 32/2= 16, yet 32/3 = 10.6 not a whole number so 3 is not a factor of 32.

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Find the greatest factor that is common for both 32 and 40 ( the GCF):

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

GCF is 8

Based on the definition of  parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

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Answer:

Answer:

A. The event is (2,2), (4,4), (6,6), (8,8), (10,10), (12,12) and the probability is 1/6.

B. The event is (2,9), (2,11), (4,9), (4,11), (6,9), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 2/6.

C. The event is (2,9), (2,11), (4,9), (4,11), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 5/6.

toooooooooooo ezzzzzzzzzzyyyty

Step-by-step explanation:

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total number of balls = 20

Red = 5

Blue = 4

Green = 2

Brown = 4

Yellow = 5

The probability of pulling a green one.

= 2/20

= 1/10

Number of balls remaining = 20 - 1 = 19

The probability of pulling a blue without replacing the first green one.

= Number of blue balls / Total number of remaining balls

= 4/19

Now,

The probability of pulling a green one and then, without replacing it, pulling a blue one.

= 1/10 x 4/19

= 4/190

= 2/95

= 0.021

Thus,

The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.

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The number of Lexi is using for every bracelet and necklace include the following:

For her bracelet =329

For her necklace= 593

Addition is defined as one of the arithmetic parameters that can be used to combine various data together to arrive at a particular value.

For the family,

bracelet = 5

necklace = 9

Total jewelry made = 14

total number of beads used = 922 beads

The number of beads used for bracelet;

= 5/14×922

= 4610/14

= 329

The number of beads used for necklace;

= 9/14× 922

= 8298/14

=593

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The required number of trials is between 71 and 73 second is 5 trials.

Given that,
Hudson runs the 400-meter dash, his finishing times are normally distributed with a mean of 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400-meter dash,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
let x be the time,
According to the question,
z = x - 70 / 2 then Z ≈ N(0, 1)
71 < x < 73
71 - 70 / 2 < z < 73 - 70 / 2
1 / 2 < Z < 3/2
P[1/2 < Z < 3/2] = 0.9332- 0.691
                      = 0.2417
Now,
Required trials = 22 [0.2417] = 5.3174

Thus, the required number of trials is between 71 and 73 second is 5 trials.

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The mortar shell will strike the target in 0.02 seconds

The duration to strike the target is solved using the formula for velocity which is

= distance / time

The problem gives the distance to be 3 feet and velocity is 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

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Answer:

2x-30

Step-by-step explanation:

5(x-3) = 5x-15

-3(x+5) -3x-15

(5x-15) + (-3x-15) = 2x-30

5(k + 2)

(5 * k) + (5 * 2)

= 5k + 10

______________________________

8(4 - 1.2h)

(8 * 4) - (8 * 1.2h)

= 32 - 9.6h

______________________________

3(1 - 7m)

(3 * 1) - (3 * 7m)

= 3 - 21m

______________________________

(b + 9)(6)

(6 * b) + (6 * 9)

= 6b + 54

Answer:

Step-by-step explanation:

The discounted price of the item is $1.85.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, An item is regularly priced at $37.

It is now priced at a discount of 95% off the regular price.

∴ The discounted price of the item is {(100 - 95)/100}×37.

= (5/100)×37.

= $1.85.

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The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2

From the question, we are to solve the given linear equation.

The given linear equation is

-6 1/4x = -3 1/8

To solve the equation,

First, we will convert the fractions to improper fractions

-6 1/4x = -3 1/8

-25/4x = -25/8

Multiply both sides of the equation by -4/25

-4/25 × -25/4x = -4/25 × -25/8

x = 1/2

Hence, the value of x is x = 1/2

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Answer:

No solution

Step-by-step explanation:

Given :

Because we have two variables that can cancel out, we can solve the system using elimination as we can easily add the two equations, cancel out one of the variables and solve for the other.

   8x - 3y = 12

+ -8x + 3y = 5

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

   0x + 0y = 17

Simplifying this we are left with 0 = 17

Because no variables can be defined there are no solutions to the equation.

The final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

What is the interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

We have,

F and H are sets of real numbers defined as follows.

F = { v l v < 4}

H = { v l v ≥ 7}

F is the set of all real numbers that are less than or equal to 4.  H is the set of real numbers greater than 7.

F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:

F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets.  Hence the answer is the empty set, Ø:

F ∩ H = Ø

F ∩ H = [7, 4]

F ∪ H = [-∞, ∞]

Hence, the final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

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508

Step-by-step explanation:

Answer:

Step-by-step explanation:

77.38$

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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