MATHEMATICS HIGH SCHOOL

True or false questions basic math1.the total surface area of a cube each of whose edges is 12 inches long is 6 square feet

2.if the tank in a car holds 15 gallons of gasoline, the volume of the tank is one cubic foot

3.two cones have equal height. if the base of one cone is a circle and the base of the other cone is a square, the two cones cannot have equal volumes

4.the diameter of the moon is approximately one-fourth the diameter of earth, hence the volume of the moon is one-fourth the volume of earth.

each of these questions are true or false.. could use the help tonight please

Answers

Answer 1
Answer:

Answer:

1. True

2. False

3. False

4. False

Step-by-step explanation:

1. It is true because12 inch is equal to 1 feet, so the area of each side of the cube is 1 square feet, adding the 6 sides of the cube you have a surface area of 6 square feet.

2. It is false because 7.5 gallons is equal to 1 cubic foot.

3. It is true because both cones have equal height but the fact that the bases are different make the volume different.

4. Is false because when you calculate the volume of a sphere you have to raise the radius (half the diameter) to the cube, so there is not a direct relation.
Answer 2
Answer: 1. False
2. False
3. True
4. False

and #3 if you think about it is kind of a trick question. If the base of the "cone" is a square than its not a cone to begin with. It would be a square pyramid.

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What are the solutions of this quadratic equation? x^2+13=8x+37

Answers

The solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The given equation as:

x² - 8x + 13 = 37

Subtracting 37 from both sides, we get:

x² - 8x - 24 = 0

Now, we have the equation in standard form, so we can use the quadratic formula to find the solutions:

x = (-b ± √(b² - 4ac)) / 2a

Here, a = 1, b = -8, and c = -24.

Substitute these values into the quadratic formula, and we get:

x = (-(-8) ± √((-8)² - 4(1)(-24))) / 2(1)

x = (8 ± √(64 + 96)) / 2

x = (8 ± √160) / 2

x = (8 ± 4√10) / 2

Simplifying, we get:

x = 4 ± 2√10

Therefore, the solutions of the quadratic equation x² + 13 = 8x + 37 are x = 4 + 2√10 and x = 4 - 2√10.

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Answer:

              x\in\left\{4-2√(10)\ ,\ \,4+2√(10)\,\right\}

Step-by-step explanation:

x^2+13=8x+37\n\nx^2-8x-24=0\n\na=1\,,\ \ b=-8\,,\ \ c=-24\n\nx_1=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8-√(64+96)}2=\frac{8-√(160)}2 =\n\n=\frac{8-4√(10)}2=\frac{2(4-2√(10))}2=4-2√(10) \n\nx_2=(-(-8)-√((-8)^2-4\cdot1\cdot(-24)))/(2\cdot1)=\frac{8+4√(10)}2=4+2√(10)

Pls help for brainliest answer

Answers

The amount of yellow cubes is =x
Blue is 3x
Green is 15x
x+3x+15x=19x which is the total amount of cubes
Therefore the probability of picking a yellow cube is 1/19

Simplify with steps 9 to 3/2 power

Answers

9^(3/2)
9=3^(2)
=3^(2) ^3/2
=27

A cube is a three dimensional solid with 6 square faces find the total surface area of a cube whose edges are each 5 feet in length

Answers

surface area of a cube = 6s^2
= 6(5)^2 = 6 x 25 = 150 square feet

A magician is training for an underwater escape trick. Upon first trying, he could hold his breath for 60 seconds. Now, using a different technique, he can hold it for 35% longer. How long can the magician currently hold his breath?

Answers

ANSWER:  35% of 60 is 21 I'll let you figure out the rest.

Final answer:

The magician can hold his breath 35% longer than before, which equates to 81 seconds. This is accomplished by calculating 35% of the initial 60 seconds (21 seconds), and then adding this to the original 60 seconds.

Explanation:

The subject of this question is how to calculate percentages. In this case, we are given that the magician could initially hold his breath for 60 seconds and after employing a new technique, he can now hold his breath for 35% longer than the initial time. To find this out, we need to calculate 35% of 60 and add it to 60.

  1. First, calculate 35% of 60: 0.35 * 60 = 21 seconds
  2. Then add that result (21 seconds) to the initial time (60 seconds): 60 + 21 = 81 seconds.

Therefore, using his new technique, the magician can now hold his breath for 81 seconds.

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(8^3)^4 ⋅ 8^−9/ 8^3
Answer???

Answers

Answer: 1

Step-by-step explanation:
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