MATHEMATICS HIGH SCHOOL

If Tina had 4.6 gallons of water in one bucket and 2.3 gallons in another bucket, how many gallons did she have all together?

Answers

Answer 1
Answer:

Hey!


Since it says "all together", that means you have to add both amounts.


In one bucket, she had 4.6 gallons, and in another, she had 2.3 gallons. Add 4.6 and 2.3


4.6 + 2.3 = 6.9


\framebox{She had 6.9 gallons of water altogether}

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Greg is in a car at the top of a roller-coaster ride. The distance, d, of the car from the ground as the car descends is determined by the equation d = 144 – 16t2, where t is the number of seconds it takes the car to travel down to each point on the ride. For which interval of time is Greg’s car moving in the air?
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Prove that (1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

a rectangular lawn has a perimeter of 36 meters and a circular exercise run has a circumference of 36 meters which shape will give rico´s dog more area to run?

Answers

The shape is a rectangle lawn

Final answer:

The circular exercise run provides more area for Rico's dog to run than the rectangular lawn. This is determined by calculating the maximum possible area for a rectangle with a perimeter of 36 meters and a circle with a circumference of 36 meters.

Explanation:

To answer which shape will give Rico's dog more area to run, we need to calculate the areas of the given shapes - a rectangle and a circle - using their respective perimeters/circumferences.

For a rectangle with a perimeter of 36 meters, one plausible dimension could be a rectangle with a length of 10 meters and a width of 8 meters, giving an area of 80 square meters assuming the shape is a square. (This gives the maximum area for a given perimeter).

The circumference of a circle is given by the formula 2πr, where r is the radius of the circle. If the circumference is 36 meters, then the radius would be 36/(2π) ≈ 5.73 meters. The area of this circle would then be πr², approximately 103.07 square meters.

In conclusion, the circle will offer more area for Rico's dog to run, despite the rectangular lawn and circular exercise run having the same perimeter and circumference lengths respectively.

Learn more about Area Comparison here:

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What is the relationship between ratios 10/24 and 5/12, proportional or non-proportional? A. Proportional B. Non-proportional

Answers

Answer:  Proportional

Reason: The fractions 5/12 and 10/24 are equal.

To go from 5/12 to 10/24, double both top and bottom

5*2 = 10

12*2 = 24

To go in reverse, divide both parts by 2

10/2 = 5

24/2 = 12

Fill the graph PLEASE I NEED A LOT OF HELP ON THIS I'LL GIVE ALMOST ALL MY POINTS AND BRAINLIEST!!!!

Answers

~Hello There!~

Parallelogram:

Properties of opposites sides: congruent

Properties of consecutive sides: not parallel

Properties of opposite angles : congruent (the same)

Properties of consecutive angles: supplementary (equal 180 degrees)

Properties of diagonals: bisect each other.

Rectangle:

Properties of opposite sides: congruent

Properties of consecutive sides: Perpendicular

Properties of opposite angles: congruent

Properties of consecutive angles: congruent

Properties of diagonals: bisect each other.

Rhombus:

Properties of opposite sides: congruent and parallel

Properties of consecutive sides: congruent but not parallel

Properties of opposite angles: congruent

Properties of consecutive angles: equal 180 degrees

Properties of diagonal: perpendicular

Square:

Properties of opposite sides: congruent

Properties of consecutive sides: congruent

Properties of opposite angles: equal

Properties of consecutive angles: equal

Properties of diagonal equal and perpendicular

Trapezoid:

Properties of opposite sides: top and bottom are parallel

Properties of consecutive sides: none

Properties of opposite angles: none

Properties of consecutive angles: none

Properties of diagonal: none

Kite:

Properties of opposite sides: none

Properties of consecutive sides: two sets of congruent sides

Properties of opposite angles: 1 set of congruent angles

Properties of consecutive angles: none

Properties of diagonal: Perpendicular

Isosceles trapezoid:

Properties of opposite sides: top and bottom and parallel. 2 sides congruent.

Properties of consecutive sides: none

Properties of opposite angles: none

Properties of consecutive angles: two base angles are equal

Properties of diagonal: none.

Hope This Helps You!

Good Luck :)

Have A Great Day ^_^

- Hannah ❤

How many 5 digit numbers less than 47999 can be formed from the digits {1,2,3,4,5,6,7,8}, if repetition of the digits is allowed?

Answers

To determine the number of 5-digit numbers less than 47999 that can be formed from the given digits (1, 2, 3, 4, 5, 6, 7, 8), with repetition allowed, we can analyze each digit's possibilities.

For the first digit:
- The first digit can be any of the given digits (1, 2, 3, 4, 5, 6, 7, 8) except for 0, since we want the number to be less than 47999. So there are 8 options for the first digit.

For the remaining four digits:
- Each of these digits can be any of the given digits (0, 1, 2, 3, 4, 5, 6, 7, 8), since repetition is allowed. So there are 9 options for each of the remaining four digits.

Therefore, the total number of 5-digit numbers that can be formed is:
8 * 9 * 9 * 9 * 9 = 52,488

How to find the area of the 45-45-90 triangle with a hypotenuse of 24?

Answers

The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal.  If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle,    A² + B² = C²

But  A = B  and  C = 24 .

2A² = (24)²

A² = (24)² / 2

But since  A=B,  A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = 144 . 


45^o-45^o-90^o\ triangle\ is\ a\ half\ of\ the\ square\ (look\ at\ he\ picture).\n\nThe\ square\ is\ a\ rhombus\nthen\ area\ equal\ the\ half\ of\ multiply\ diameters:\n\nA_{\fbox{}}=(d^2)/(2)\n\nA_\Delta=(1)/(2)A_{\fbox{}}\Rightarrow A_\Delta=(1)/(2)\cdot(d^2)/(2)=(d^2)/(4)\Rightarrow A_\Delta=(24^2)/(4)=(576)/(4)=144.

What is 7x squared-2x+5?

Answers

7x² - 2x + 5

That's a quadratic trinomial ... it has three terms, and
the highest power of the variable is the second power.
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