A plane is defined by two lines. What's the counterexample

Answer:

-8π + 32

6.8675

Step-by-step explanation:

So we know that the are of the square is 64, and we know that the equation for the are of the shaded region is Area of square - 1/4 area of circle with a radius of 4√2 - area of 90/45/45 triangle with side lengths of 8 and 8.

s = square area

c = circle area

t = triangle area

∆ = shaded region area

∆ = s - 1/4c - t

input the numbers that we have for those variables:

∆ = 64 - 1/4(100.53) - 32

∆ = 64 - 25.1325 - 32

∆ = 32 - 25.1325

shade region approximate ≈ 6.8675

or to get an exact answer in terms of pi

∆ = 64 - 1/4(32π) - 32

∆ = 32 - 8π

shaded region = -8π + 32

just added this because it is hard to pick out the actual answer in the other person's answer.

The height of the triangle is 14 cm.

To find the height of the triangle, we can use the formula for the area of a triangle: Area = 1/2 * base * height. In this case, the base is 6 cm and the area is 42 cm^2. By rearranging the formula, we can solve for the height: Height = 2 * Area / Base. Plugging in the values, we get Height = 2 * 42 cm^2 / 6 cm = 14 cm.

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Answer:

Option B is correct.

Step-by-step explanation:

Important state labor laws and safety regulations came about as a result of the 1911 - Triangle shirtwaist factory fire

The Triangle shirtwaist factory fire was one of the worst industrial disasters during that time. Many people died due to a fire breakout in the factory. They could not escape the building and died due to smoke inhalation or burns.

After this incident, a Committee on Public Safety was formed that led to a legislation requiring labor laws and improved factory safety standards.

 Option A

x<-7

Given :

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

Explanation :

Solve the given inequality for x by applying algebraic properties

We use order of operation to simplify the left and right side of inequality

[tex]4- (x + 2) < -3(x + 4)\\4-x-2<-3x-12\\-x+2 < -3x -12\\Add\; 3x \; on \; both \; sides\\2x+2<-12\\Subtract\; 2\; from \; both \; sides\\2x<-14\\Divide \; both \; sides \; by 2\\x<-7[/tex]

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The probability of rolling a number greater than 4 on a six-sided die is 1/3 or 0.33 or 33%. This is obtained by dividing the number of favourable outcomes (2, i.e., 5 and 6) by the total number of outcomes (6).

The subject of the question is the probability in mathematics, specifically related to an experiment involving rolling a six-sided die. To answer your question, a six-sided die has numbers from 1 to 6. But you are asking about throwing a number greater than 4. There are only two outcomes that are greater than 4, the numbers 5 and 6. Therefore, the possible favorable outcomes are 2.

The total outcomes (since it's a six-sided standard die) are 6. Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. In this case, it will be 2/6 = 1/3 which is approximately 0.33 or 33%.

This means, if you roll the die, on an average, you can expect to roll a number greater than 4 about 33 times if you roll it 100 times.

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Answer:

C.)p ↔ (q ∧ r)

Step-by-step explanation:

I scored a 100 on my quiz

The pair of triangles that are congruent by ASA is figure C

Two triangles can be judged to be congruent using the ASA (Angle-Side-Angle) criterion. For triangles to satisfy ASA congruency:

Put otherwise, the ASA criterion determines that two triangles are congruent if two of their angles and the included side are congruent, respectively. For this criterion, the angles and sides' order matters.

Based on the explanations, hence the pair of triangles that are congruent by ASA is figure C

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Linear algebra

I've always had trouble with graphs and it's much better if the algebra is similar to arthemetic

Final answer:

The Converse of the Base Angles Theorem states that if two angles of a triangle are congruent, then the triangle is isosceles.

Explanation:

In geometry, the theorem that can prove a triangle to be isosceles is the Converse of the Base Angles Theorem. It states that if two angles of a triangle are congruent, then the triangle is isosceles. In other words, if the two base angles of a triangle are equal, then the triangle is isosceles. For example, if angles A and B in triangle ABC are congruent (angle A = angle B), then triangle ABC is isosceles.

5000 x (1+0.078/12)^54

5000 x (1.0065)^54

$7094.37

from x15 to x 25 is 4 - -16 = -20 degree change

25 -15 = 10000 feet

-20/10 = -2 degrees every 1000 feet

Answer: The  average rate of change of the function between x = 15 to x = 25  is -2 degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.

Step-by-step explanation:

The average rate of change of a function y=f(x) from [tex]x_1\ to\ x_2[/tex]is given by :-

[tex]k=\frac{f(x_2)-f(x_1)}{x_2-x_1}=\frac{-6-4}{20-15}[/tex]

Now, by the given table the average rate of change of the function between x = 15 to x = 25 will be :_

[tex]k=\frac{-16-4}{25-15}=\frac{-20}{10}=-2[/tex]

Hence, the  average rate of change of the function between x = 15 to x = 25  is -2 degrees Celsius per thousand feet and represents the rate of change of temperature per thousand feet.

the line of the graph is vertical since both x coordinates are the same ( both are -2)

so the equation would be x = -2