MATHEMATICS HIGH SCHOOL

What is the converse of the following conditional?If a point is in the first quadrant, then its coordinates are positive

a. If a point is in the first quadrant, then its coordinates are positive
b. If the coordinates of a point are positive, then the point is in the first quadrant
c. If the coordinates of a point are not positive, then then the point is not in the first quadrant
d. If a point is not in the first quadrant, then the coordinates of the point are not positive.

Answers

Answer 1

Answer: The answer is B because the converse just flips the two phrases within the statement.

Answer 2

Answer:

Answer:

b. If the coordinates of a point are positive, then the point is in the first quadrant

Step-by-step explanation:

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1,000,000 to scientific notation

Answers

1 000 000

1 000 000.0

We move the decimal point to the left hand side until we have a number that is from 1 to 9.

Should we move the point.

= 1.0 * 10⁶

You are standing 44 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
meters
One of your friends is on the 86th floor. What is the distance between you and your friend?
meters

Answers

The height of the building is 313 m while the friend is 192 m above me.

What is the angle of elevation?

The angle of elevation is the angle between the horizontal plane and the line of sight or upward direction to an object or point of interest. It is typically measured in degrees, minutes, and seconds.

The angle of elevation is commonly used in trigonometry, surveying, and navigation to determine the height or distance of an object.

Let the distance from the ground frond to the 86th floor be x

We would now have that;

Tan 82 = 121 + x/44

44Tan 82 = 121 + x

313 = 121 + x

x = 313 - 121

x = 192 meters

Total height of the building = 192 m + 121 m = 313 m

Learn more about angle of elevation:brainly.com/question/8817610

How many solutions are there to the equation below?

12x+6=5x

Answers

Answer: There is one solution to the given equation.

Step-by-step explanation: We are given to find the number of solutions to the following equation :

$12x+6=5x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Since the given equation is linear in one variable x, so it will have only one solution.

The solution of equation (i) is given by

$12x+6=5x\n\n\Rightarrow 12x-5x=-6\n\n\Rightarrow 7x=-6\n\n\Rightarrow x=-(6)/(7).$

Thus, there is one solution to the given equation.

At what point (x,y) do the two lines with equations x-2y=5 and 3x-5y=8 intersect?

Answers

$\begin{cases} x-2y=5 \ \ /*(-3)\n 3x-5y=8 \end{cases}\n \n\begin{cases} -3x+6y=-15 \n 3x-5y=8 \end{cases}\n + \ -------\n y=-7\n \nx-2y=5 \n \nx-2*(-7)=5 \n \nx+14=5 \ \ |-14\n \nx=5-14 \n \nx=-9 \n \n \begin{cases}x=-9 \n y=-7 \end{cases} \n \n \nAnswer: \ \ this \ is \ the \ point : \ \ (-9,-7)$

Translate the algebraic expression shown below into a verbal expression.x/4

The sum of four and some number
The product of some number and four
The difference of four and some number
The quotient of some number and four

Answers

The quotient of some number and four.

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?a.) 2.5 inches b.) 5.0 inches c.) 7.1 inches d.) 9.8 inches

Answers

c right there i think

The answer is C. 7.1 inches

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