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2 years ago

7. Using the distance formula, calculate how far Hector threw the ball. (4 points: 2

Mathematics

1 answer:

iragen [17]2 years ago

7 0

The required distance covered is 90 units

<h3>Distance formula</h3>

The formula for calculating the distance between two points is expressed as shown:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

The required coordinates missing are (0, 42.78) and (90.42.78). Substiute the coordinate into the formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$D=\sqrt{(42.78-42.78)^2+(90-0)^2}\\D=\sqrt{(0^2+(90)^2}\\D = 90 units$

Hence the required distance covered is 90 units

Learn more on distance formula here: brainly.com/question/1872885

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Alyssa said that 6/8 and 9/12 are not equivalent because there is no whole number you can multiply both part of 6/8 by to get 9/

BigorU [14]

Solution: Alyssa is incorrect.

In fact $\frac{6}{8}=\frac{9}{12}$ .

If we cross-multiply the above equation, we have:

$6 \times 12 = 9 \times 8$

$72 = 72$

Therefore, they are equal.

Also, if we reduce the given fractions, we have:

$\frac{6}{8} =\frac{3}{4}$

And

$\frac{9}{12}=\frac{3}{4}$

Since both the fractions reduced to $\frac{3}{4}$ , therefore fractions are equivalent.

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3 years ago

Kaylee is painting a design on the floor of a recreation room using equilateral triangles. She begins by painting the outline of

KatRina [158]

The correct answer for the given problem above would be the fourth triangle. So here is the given solution: Since Triangle 1 is already given with a measurement of 50 inches, and 80% of 50 inches if 40. Triangle 2 then is 40 inches. 80% of 40 is 32, so triangle 3 is 32 inches, and then 80% of 32 is 25.6 inches so triangle 4 is 25.6 inches. Therefore, the triangle that will first have a side length of less than 29 inches is triangle 4.

8 0

3 years ago

Read 2 more answers

Factorise (x2 - x - 12)

Leno4ka [110]

The answer is (x-4)(x+3)

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3 years ago

You own 17 CDs. You want to randomly arrange 5 of them in a CD rack. What is the probability that the rack ends up in alphabetic

amid [387]

The probability that all five end up in alphabetical order is; 1/120.

<h3>What is the probability that the rack ends up in alphabetical order?</h3>

To evaluate the given probability; first, the number of possible arrangements is;

17P5 = 742,560 possible arrangements.

However, the chance of an alphabetical order arrangement in each case is; 1 out of 5! possible arrangements.

Hence, we have that the number of possible alphabetical arrangement is; (1/120) × 742,560 = 6188.

Hence, the required probability is; 6188/742,560 = 1/120