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3 years ago

The graph below shows the number of minutes played and the points scored per game for several professional basketball players.

Mathematics

2 answers:

aliya0001 [1]3 years ago

5 0

the correct answer is A) 45 minutes

Gelneren [198K]3 years ago

3 0

Answer:

Option A, 45 minutes.

Step-by-step explanation:

In the graph attached line of the best fit passes through two points (27, 14) and (36, 22).

These are the points which are not the scatter points but lying on the line.

Let the equation of the line be y = mx + c

Where m = slope and c = y-intercept.

Since slope m = $\frac{y-y'}{x-x'}$

= $\frac{22-14}{36-27}$ = $\frac{8}{9}$ = 0.88

This line passes through another point on x-axis (11,0).

So equation passing through (11,0) will be

0 = (0. 88) × 11 + c

c = -9.68

Finally equation of the line will be

y = 0.88x - 9.68

Now we have to find the time at which scored 30 points.

By putting y = 30 in the equation

30 = 0.88x - 9.68

x = $\frac{39.68}{0.88}$ = 45

Option A is the answer.

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Answer:

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Step-by-step explanation:

The sign between the terms changes to form the conjugate. The radical contents are unchanged.

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<em>Additional comment</em>

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nika2105 [10]

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3 years ago

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The lengths of the sides of the base of a right square pyramid are 3 feet, and its slant height is 8 feet. If the sides of the b

8_murik_8 [283]

Answer:

B. 9

Step-by-step explanation:

The base of a right square pyramid is a square, and we know that the lengths of the square are 3. We can calculate the original area of the base as: 3 * 3 = 9 ft squared.

The slant height is the height of the triangular sides of the pyramid. We know that it's 8 feet, and that the base of the triangle shares a side with the square, so b = 3. Knowing that h = 8 and b = 3, we can apply the triangle area formula: (b * h) / 2 = (8 * 3) / 2 = 24/2 = 12 ft squared. However, there are 4 triangles, so we multiply 12 by 4: 12 * 4 = 48 ft squared.

We add 48 to 9 to get the total original surface area: 48 + 9 = 57 ft squared.

Now, however, the sides of the base of the square are increased to 9 ft, so our new area is 9 * 9 = 81 ft squared.

The slant height becomes 24 ft, so our new triangle area is: (24 * 9)/2 = 216/2 = 108 ft squared. We multiply that by 4: 108 * 4 = 432 ft squared.

The new surface area is thus 81 + 432 = 513 ft squared.

To find the factor the original surface area is multiplied by, we divide 513 by 57: 513 / 57 = 9.

Thus, the answer is B, 9.

Hope this helps!

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3 years ago

(3x + 8)°<br> (5x – 20)<br> find the measure of the vertical angles

Shalnov [3]

Answer:

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3 years ago