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Elodia [21]
3 years ago
7

Jim has made a dartboard using two concentric circles, one blue and one yellow. The distance from the center to the edge of the

blue circle is 8 inches, while from the center to the edge of the yellow circle it is 11 inches. Jim plans to play a game with his friend Randolph, in which the blue region is Jim's and the yellow region is Randolph's.
Is the game FAIR?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
8 0

Answer:

No; the blue region is larger.

Step-by-step explanation:

The area of the blue region is 64π = 200.96 square inches, while the area of the yellow region is 121π - 64π = 178.98 square inches.

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PLEASE HURRY!50 POINTS ANS BRAILIEST
densk [106]

Answer:

A:

The decreasing value of car 1 can be represented by an exponential function and car 2 by a linear function

B:

Car 1: f(x) = 18500(0.94)^{x}

Car 2: f(x) = 18500 - 1000x

C:

Car 1 would be $10600.40 after 9 years

Car 2 would be $9500.00 after 9 years

There is a significant difference of $1100.40 in value.

Step-by-step explanation:

f(x) = ar^{x}\\f(0) = a = 18500\\f(x) = 18500r^{x}\\f(1) = 18500r = 17390\\r = \frac{17390}{18500} = 0.94\\f(x) = 18500(0.94)^{x}

7 0
3 years ago
Prove that the following four points will form a rectangle when connected in order
Lemur [1.5K]

Answer:

Step-by-step explanation:

If the diagonals of the rectangle are congruent,

AC = BD

By using formula to calculate the distance between two points,

Distance between two points = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Distance between A(0, -3) and C(2, 8),

AC = \sqrt{(8+3)^2+(2-0)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Similarly, distance between two points B(-4, 0) and D(6, 5),

BD = \sqrt{(5-0)^2+(6+4)^2}

     = \sqrt{125}

     = 5\sqrt{5}

Therefore, both the diagonals are congruent.

Hence, given quadrilateral ABCD is a rectangle.

8 0
3 years ago
Name the number that is three more than one-fifth of one-tenth of one-half of 5,000.
bearhunter [10]

Answer:

24 or 29 more numbers

Step-by-step explanation:

6 0
3 years ago
GEOMETRY PROBLEMS PLEASE HELP ME
SIZIF [17.4K]

Answer:

12) The measure of PQR is 36 since both angles MQP (25) and PQR should add up to MQR (61)

13) The graph shows that both angles are congruent so that means:

2x+8= x+22

2x= x+14

x=14

14) angle ADB and angle BDC since it shows that both angles sum up to 90 degrees (also known as complementary angles)

15) Angles ADE and angle FDE are supplementary because they both add up to 180 degrees (supplementary angles)

16) Angles ADC and FDE are vertical because they are opposite of each other

17) Angles ADE and FDE are also linear pairs because both of them are adjacent (they both have a common side as well as a common vertex)

Hope this helps! ;)

7 0
3 years ago
Alyssa goes out for dinner, and the price of her meal is $18. The sales tax on the meal is 6%, and she also wants to leave a 20%
Oksana_A [137]

Answer:

$22.68

Step-by-step explanation:

Meal Price =$18

Sales tax =6%

Tip = 20%

Total Price of the Meal =$18 + (6% of 18)+ (20% of 18)

=$18 + (0.06 X 18)+ (0.2 X 18)

=18+1.08+3.6

=$22.68

The total price of Alyssa's meal is $22.68.

6 0
3 years ago
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