MATHEMATICS HIGH SCHOOL

Chester dives from a board 15 feet above the water he goes 7 feet below the surface of the water What is the total length of Chester’s dive

Answers

Answer 1

Answer:

Answer:

22 feet

Step-by-step explanation:

Total length of dive is the sum of the distances above the water and below the surface:

15 feet + 7 feet = 22 feet

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Two sides of an acute triangle measure 5 inches and 8 inches. The longest side is unknown. What is the greatest possible whole-number length of the unknown side?

Answers

Answer:

Hence, the greatest possible whole-number length of the unknown side is:

9 inches

Step-by-step explanation:

A corollary to the Pythagorean Theorem states that:

If c is the longest side of a acute triangle, a and b are other two sides of a acute triangle then the condition that relates these three sides are given as:

$c^2<a^2+b^2$

Here we have:

Let a=5 inches.

b=8 inches.

Then,

$c^2<5^2+8^2\n\nc^2<25+64\n\nc^2<89\n\nc<9.434$

Hence, to the greatest whole possible whole number length of the unknown side is:

9 inches.

Answer:

the answer is 9

Step-by-step explanation:

When dividing both sides of an inequality by an integer we must reverse the inequality symbol

Answers

no, you only reverse the inequality symbol when you divide both sides by a negative whole number.

If dividing a number by a negative integer, that is the only time you would reverse the inequality symbol.

a laptop's screen is 8 inches long. if the diagonal measures 10 inches, what is the width of the laptop

Answers

the width of the laptop is 6 inches long.

Can you please explain how you write 0.5 in words?

Answers

50 tenths??>? I think thats right maybe

Divide the fractions and simplify the answers 1/2÷5/8

Answers

CORRECT ANSWER: 4/5
CORRECT SOLUTION: 1/2 × 8/5= 8/10 (÷2) = 4/5
1. (turn the second fraction upside down or the other way around) (this is called the reciprocal)
2. now you can use multiplication instead of division

that answer above is correct if your wondering i did the work myself and so is his explanation. i would probly say the same thing lol but all in all the answer is 4/5 and that is the most you can simplify it :)

If a polyhedron has a volume of 23cm3 and is dilated to the scale factor or 1/3 whats the volume

Answers

You just need to multiply 23 by 1/3. So: 23 * 1/3 or 23/1 * 1/3 = 23/3. It can be simplified into 7.67. Don't forget to include cm^3 after the value.

Final answer:

When a polyhedron with a given volume is dilated by a scale factor, the new volume is calculated by multiplying the original volume by the cube of the scale factor. So, a dilation of a polyhedron with an original volume of 23 cm³ by a scale factor of 1/3 gives a new volume of approximately 2.56 cm³.

Explanation:

In mathematics, a dilation is a transformation that changes the size of a figure without changing its shape. The degree of enlargement or reduction is called the scale factor.

In the question, the original volume of the polyhedron is 23 cm³ and it is dilated by a scale factor of 1/3. However, we need to remember that volume is associated with three dimensions. Therefore, when a polyhedron is dilated, each dimension (length, width, and height) is affected by the scale factor. Thus, to find the new volume, we apply the cube of the scale factor to the original volume.

In this case, the new volume V' would be calculated as: V' = V x (scale factor)³, which gives us V' = 23 cm³ x (1/3)³. Calculating this we get V' = approximately 2.56 cm³.

Learn more about Dilation of a Polyhedron here:

brainly.com/question/28718923

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