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stiks02 [169]
3 years ago
7



Mathematics
2 answers:
nikklg [1K]3 years ago
8 0
It would be D) 309 yards.

jekas [21]3 years ago
7 0

Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°

To Find: The length of the park's boundary to the nearest yard.

Calculation:

The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc

or,                    (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)

or,                    (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or,                    (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or,                    (P) = 100 yards + 209.33 yards

or,                    (P) = 309.33 yards ≈309 yards

Hence, the option D:309 yards is the correct option.

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Answer:

Step-by-step explanation:

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3 years ago
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Ainat [17]
A^-b is the same as 1/a^b.

When there is a negative power, place the number and power over 1.

a^b/a^c = a^(b-c).

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a^c/b^c = (a/b)^c

Inside this one, the power of c is distributed to all numbers inside the parenthesis, in this case a and b.


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3 0
3 years ago
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Name a decimal between 0.4 and 0.5
Aliun [14]

To find a number between both decimals, what you can do is take the average of both numbers.

We have then:

average = \frac{0.4+0.5}{2}

Rewriting we have:

average = \frac{0.9}{2} \\average = 0.45

Therefore, the decimal obtained is a number between 0.4 and 0.5

Answer:

a decimal between 0.4 and 0.5 is:

average = 0.45

6 0
3 years ago
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The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.
eimsori [14]

<u>Answer:</u>

-10,1,19

<u>Step-by-step explanation:</u>

<u></u>

x+y+z = 10 (Equation 1)

2y-x= 12  (Equation 2)

x-y+2z = 7 (Equation 3)

(Equation 2): -x = -2y+12

                       x = 2y-12 (Equation 4)

(Equation 1) - (Equation 3): 2y-z = 3

                                              -z = -2y+3

                                               z = 2y-3 (Equation 5)

Substitute (4) and (5) into (1)

x+y+z = 10

(2y-12)+y+(2y-3) = 10

5y-15 = 10

5y = 5

y=1

Substitute y=1 into (2)

2y-x= 12

2(1)-x= 12

2-x= 12

-x= 12-2

-x= 10

x= -10

Substitute y=1 and x=-10 into (1)

x+y+z = 10

-10+1+z = 10

z-9 = 10

z = 10+9

z = 19

Order: x = -10, y = 1, and z = 19

8 0
3 years ago
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Convert each percentage into a decimal and match them with the appropriate result.
skad [1K]

Answer:

32% = 0.32

50% = 0.50

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Step-by-step explanation:

0.32 = 32%

0.50 = 50%

0.34 = 34%

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2 years ago
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