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Annette [7]
2 years ago
10

The regulation height of a basketball hoop is 10 feet above the court floor. On a scale model of a basketball court the height o

f the hoop is 5 inches from the court floor. What is the scale of the model
Mathematics
1 answer:
rodikova [14]2 years ago
6 0

Answer:

1  : 2

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

10 / 5 = 2

1 inch represent 2 feet

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The length of the segment between the points $(2a, a-4)$ and $(4, -1)$ is $2\sqrt{10}$ units. What is the product of all possibl
True [87]

Answer:

-3

Step-by-step explanation:

The length of a segment is

sqrt( ( y2-y1)^2 + (x2-x1) ^2) = 2 sqrt(10)

sqrt( ( a-4 - -1)^2 + (2a -4) ^2) = 2 sqrt(10)

sqrt( ( a-4 +1)^2 + (2a -4) ^2) = 2 sqrt(10)

Combine like terms

sqrt( ( a-3)^2 + (2a -4) ^2) = 2 sqrt(10)

Square each side

( a-3)^2 + (2a -4) ^2) = 4 *(10)

FOIL the left side

a^2 -6a +9   + 4a^2 -16a +16 = 40

Combine like terms

5a^2 -22a +25 = 40

Subtract 40 from each side

5a^2 -22a -15 =0

Factor

(a - 5) (5 a + 3) = 0

Using the zero product property

a-5 =0   5a +3 = 0

a = 5       5a = -3

a=5     a = -3/5

The product of the terms is

5 * -3/5 = -3

5 0
3 years ago
Find the 20th term of the following sequence. -6, -4, -2, 0
posledela

Answer:

32.

Step-by-step explanation:

This is an arithmetic sequence with first term a1 = -6 and common difference 2.

an = a1 + d(n - 1)

a20 = -6 + 2(20-1) = 32

6 0
3 years ago
If an object falls 40 meters in 4 seconds,how far will it fall in6 seconds​
sweet [91]

Answer:

60 seconds

Step-by-step explanation:

step 1.) find how many meters it falls per second

          40m / 4sec = 10m/s

step 2.) use the equation above to find in terms of the question

          10m/s for 6sec = 10 x 6 ====> 60 seconds

4 0
2 years ago
How much does an ice cream cost with 11 ounces of toppings? If they charge $3.00 for an ice cream, plus 50 cents per ounce of to
arlik [135]

Answer:

$8.50

Step-by-step explanation:

multiply 0.50 by 11 to get 5.5 and then add the 3 dollars from the ice cream to get 8.5 - make sure to change 8.5 to $8.50

5 0
2 years ago
Read 2 more answers
The area of the base of a prism is 21 cm2. The perimeter of the base is 20 cm. The height of the prism is 8 cm.
mart [117]
The lateral area of the prism equals to height * perimeter of the base. So the lateral area is 160 cm2. And the surface area of the prism equals to the area of the base*2+the lateral area= 202 cm2.
7 0
3 years ago
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