Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle.

The Golden Eagle, weighing 13.9 lbs, is approximately 4 times as heavy as the Red Tailed Hawk, which weighs 3.5 lbs.

To find out how many times as heavy the Golden Eagle is compared to the Red Tailed Hawk, we need to divide the weight of the Golden Eagle by the weight of the Red Tailed Hawk. The Golden Eagle weighs 13 9/10 lbs, which can be converted into an improper fraction as 139/10 or a decimal as 13.9 lbs. The Red Tailed Hawk weighs 3 1/2 lbs, which can be converted into an improper fraction as 7/2 or a decimal as 3.5 lbs.

To perform the division, we'll use the decimal form of the weights:

Dividing the Golden Eagle's weight by the Red Tailed Hawk's weight:

13.9 lbs ÷ 3.5 lbs = 3.9714 (approximately)

So, the Golden Eagle is approximately 4 times as heavy as the Red Tailed Hawk.

The equation 6|x| + 25 = 15 has no solution because it implies that |x| equals a negative number after simplification, and absolute values cannot be negative.

The equation 6|x| + 25 = 15 has no solution because the absolute value of x, denoted by |x|, represents the distance of x from zero on the number line, and as such, it can never be negative. When we solve the given equation, we isolate the absolute value on one side which gives us 6|x| = -10 after subtracting 25 from both sides. Dividing by 6, we obtain |x| = -10/6, which is a negative number. However, since an absolute value cannot equal a negative number, this indicates that there is no valid solution to the equation.

I don't see in the problem what she is paid for over time but it is normally 1.5 times per hour

 so 40 hours at 25 = 1000

51-40 = 11 hours of over time

25 *1.5 = 37.50 per hour for over time

11 * 37.50 = 412.50

1000+412.50 = 1412.50 total

Answer:

Option (b) is correct.

The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]

Step-by-step explanation:

Given: A graph with an equation of line having two points (1,6) and  (-6, -3)

We have to find the slope of the given line in graph and choose the correct from the given options.

Consider the two points (1,6) and  (-6, -3).

Slope between two points can be calculated using the formula as,

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex]\left(x_1,\:y_1\right)=\left(1,\:6\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-3\right)[/tex]

Thus, Slope is

[tex]m=\frac{-3-6}{-6-1}=\frac{9}{7}[/tex]

Thus, The slope of line shown in given graph is [tex]\frac{9}{7}[/tex]

Answer:

The answer is b=2A/h-a

Answer:

2x^3 + 2x

Step-by-step explanation:

subtract the 2 x^4's

x^3 +x^3 = 2x^3

x +x = 2x

answer is 2x^3 + 2x

The difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]

Given the polynomials:

We are required to find their difference which can be solved as follows:

[tex](x^4 + x^3 + x^2 + x ) - ( x^4 - x^3 + x^2 - x)[/tex]

First, open the bracket by multiplying every term you have in [tex]( x^4 - x^3 + x^2 - x)[/tex] by -1:

[tex]x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x[/tex]

[tex]x^4 - x^4 + x^3 + x^3 + x^2 - x^2 + x + x\\\\\mathbf{2x^3 + 2x}[/tex]

Thus, the difference between the polynomials, [tex]x^4 + x^3 + x^2 + x $ and $ x^4 - x^3 + x^2 - x[/tex] is expressed as: [tex]\mathbf{2x^3 + 2x}[/tex]

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The radius of a circle with a circumference of 27 inches can be calculated using the formula for the circumference of a circle which is 2πr. Calculating this, the radius is approximately 4.3 inches.

The subject of this question is Mathematics, more specifically, Geometry which deals with shapes, sizes and properties of figures. In this case, we are being asked to find the radius of a circle given its circumference. The circumference of a circle is calculated as 2πr, where r represents the radius and π is approximately equal to 3.14.

To find the radius (r), you would divide the circumference by 2π. Given that the circumference of the circle is 27 inches, we divide 27 by 2π (approximately 6.28). This can be further simplified to approximately 4.3 inches.

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Answer:

x=12

Step-by-step explanation:

Line SV is an angle bisector of angle RST

<RSV = <VST

Both angles are equal

m<RSV = (3x+5)

<RSV = <VST, so m<VST = (3x+5), m<RST= 8x-14

m<RST= m<RSV +m<VST

[tex]8x-14= 3x+5+3x+5[/tex]

Combine like terms and solve for x

[tex]8x-14= 6x+10[/tex]

Subtract 6x from both sides

[tex]2x-14=10[/tex]

Add 14 on both sides

[tex]2x=24[/tex]

Divide both sides by 2

x=12

The value of v is v > -1.16.

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given linear inequality is

−42v + 33 < 8v + 91

We have to take like terms on one side.

-42v and 8v are like terms and 33 and 91 are like terms.

Subtracting 8v from both sides,

−42v + 33 - 8v < 8v + 91 - 8v

-50v + 33 < 91

Subtracting 33 from both sides,

-50v + 33 - 33 < 91 - 33

-50v < 58

Dividing both sides by -50, the inequality sign changes.

v > -58 / 50

v > -1.16

Hence the solution for the inequality is v > -1.16.

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Final answer:

The ice cream factory can make 936 quarts in 36 hours and the rate per day is 624 quarts.

Explanation:

To find out how many quarts of ice cream can be made in 36 hours, we can set up a proportion based on the rate of production. The rate of production is 260 quarts of ice cream in 10 hours. We can set up the proportion:

260 quarts / 10 hours = x quarts / 36 hours

Cross-multiplying, we get:

10x = 260 * 36

Simplifying, we find:

x = (260 * 36) / 10 = 936

Therefore, 936 quarts of ice cream can be made in 36 hours.

To find the rate per day, we need to calculate how many quarts can be made in 24 hours. We can set up the proportion:

260 quarts / 10 hours = y quarts / 24 hours

Cross-multiplying, we get:

10y = 260 * 24

Simplifying, we find:

y = (260 * 24) / 10 = 624

Therefore, the rate per day is 624 quarts of ice cream.

The required equation is y = 14x + 10 which is the number of cards in the collection and he will have 150 cards after 10 years

The slope of the line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the question, we take the two points are (3,52) (7,108)

So slope = (108 - 52) / (7 - 3) = 56/4 = 14

y = mx + b

slope(m) = 14

Substitute the value of x = 3 and y = 52 in the equation

52 = 3(14) + b

52 = 42 + b

52 - 42 = b

10 = b

So the original amount of cards is 10

If x represents the number of years, while y is the total number of cards.

y = 14x + 10

He began with 10 cards and has added 14 cards every year thereafter.

So after 10 years

y = 14(10) + 10

y = 140 + 10

y = 150

Therefore, he will have 150 cards after 10 years

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Answer: The answer is 68

The above answer is incorrect.

Step-by-step explanation:

The value of expression cot 675° is, - 1

We have to given that,

To find the value of cot 675°.

Now, We can find the value as,

⇒ cot 675°

⇒ cot (2 × 360 - 45)°

⇒ - cot 45°

⇒ - 1

Hence, The value of expression cot 675° is, - 1

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