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Otrada [13]
3 years ago
8

Arielle wants to make a circular garden. She has enough fencing for a garden circumference of 15 feet. There is a 7-foot gap bet

ween her house and the shed where she would like to put the garden. Does she have enough room for the garden? (Hint: Compare the diameter of the garden to the 7-foot gap.)
Mathematics
1 answer:
lesantik [10]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

We need to check if the circle with a circumference of 15 feet is smaller then 7 feet. If so it possible.

Formule for circular circumference = pi * diameter, which should be 15.

So pi * d =15

There fore d = 15/pi

d = 4.77464829275686 feet, which is smaller then 7 feet, so it will fit easilly.

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Do both of them for 50 points
erastovalidia [21]

Answer:

1) 5.44, 2) 3.9

Step-by-step explanation:

1) a/b + 2b - a^2 when a = 1.4 and b = 0.2

plug in the values:

1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44

2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)

again, plug in the values:

2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9

5 0
2 years ago
Can someone do #4 and #5
Hitman42 [59]

Answer:

First, find two points on the graph:

  • (x₁, y₁) = (0, 2)
  • (x₂, y₂) = (2, 8)

Slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}} = \frac{8-2}{2-0} =\frac{6}{2}=3

16 + (-3) = 16 - 3 = 13

8 0
2 years ago
Is the ordered pair a solution of y ≥ 2x − 5? a. (3, 1) b. (1, −4)
Deffense [45]

Answer:

a. Yes

b. No

Step-by-step explanation:

To find if an ordered pair is a solution to the inequality, substitute its x and y values for the x and y in the inequality and solve. If the equation is true, then it is a solution. If it is not, then it is not a solution.

1) First, substitute the x and y values of (3, 1) into the inequality. So, substitute 3 for x and 1 for y:

1 \geq 2(3)-5\\1\geq 6-5\\1\geq 1

1 is greater than or equal to 1, so (3,1) is a solution.

2) Second, do the same with the point (1, -4). Substitute 1 for x and -4 for y:

-4\geq 2(1)-5\\\\-4\geq 2-5\\-4\geq -3

However, -4 is not greater than or equal to -3, thus (1, -4) is not a solution.

4 0
3 years ago
Suppose a bag of marbles contains five green marbles, three blue marbles, six yellow marbles, and four white marbles. Maria shak
Nimfa-mama [501]

Answer:

a) blue = 1/6

b) white = 2/9

c) green or yellow = 11/18

d) neither blue nor yellow = 1/2

Step-by-step explanation:

First, you have to find the total marbles Maria has in the bag.

5 green + 3 blue + 6 yellow + 4 white = 18 marbles.

To find the probability you can use the formula:

probability = favorable outcomes / total number of possible outcomes

a) For blue

the amount of blue marbles are 3, so the probability is 3/18, simplifying the fraction you get 1/6.

b) For white

the amount of white marbles are 4, so the probability is 4/18, simplifying the fraction you get 2/9.

c) For green or yellow

the amount of green marbles are 5 and the amount of yellow marbles are 6, so the probability is 11/18.

d) neither blue nor yellow

the amount of blue marbles are 3 and the amount of yellow marbles are 6, so there are 9 out 18 that are not blue nor yellow, so the probability is 9/18, simplifying the fraction you get 1/2.

8 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
goldenfox [79]

Answer:

x = 5\sqrt{2}

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = \frac{1}{\sqrt{2} } , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{5}{x} = \frac{1}{\sqrt{2} } ( cross- multiply )

x = 5\sqrt{2}

6 0
3 years ago
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