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djyliett [7]
3 years ago
6

Write 81.4 as a fraction.

Mathematics
2 answers:
Maslowich3 years ago
7 0
407 over 5 but it also has to be simplified
Sveta_85 [38]3 years ago
4 0
It is 81.4 over 1000
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You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep o
Drupady [299]

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

(10, 0) = (x_1, y_1)

(16, 8) = (x_2, y_2)

d = \sqrt{(16 - 10)^2 + (8 - 0)^2}

d = \sqrt{(6)^2 + (8)^2}

d = \sqrt{36 + 64} = \sqrt{100}

d = 10

Length of fencing = 6 + 8 + 10 = 24 m

6 0
3 years ago
The lifespans of meerkats in a particular zoo are normally distributed. The average meerkat lives 13.113.113, point, 1 years; th
skad [1K]

Answer:

The Probability = 0.16

Step-by-step explanation:

Empirical rule formula states that:

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Average = 13.1 years

Standard deviation = 1.5 years

x = 14.6 years

= 14.6 -13.1/1.5

= 1

This falls within 1 standard deviations of the mean

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

Hence:

100 - 68%/2 = 32/2 = 16%

Converting to probability = 0.16

The probability of a meerkat living longer than 14.6 years is 0.16

8 0
2 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.<br> 80°<br> 39
zloy xaker [14]

Answer:

61 degrees

Step-by-step explanation:

A triangle has a total of 180 degrees. We already know 80 and 39. 80+39 is 119. 180-119+61

7 0
3 years ago
Evaluate the function g(x) = 2x2 + 3x – 5 for the input values -2, 0, and 3.
Roman55 [17]

Evaluate the function

g(x) = 2x2 + 3x – 5 for the input values -2, 0, and 3.

This is tedious math work but necessary to sharpen your skills.

Let x = -2

g(-2) = 2(-2)^2 + 3(-2) – 5

g(-2) = 2(4) - 6 - 5

g(-2) = 8 - 11

g(-2) = -3

Now let x = 0 and repeat the process.

g(0) = 2(0)^2 + 3(0) - 5

g(0) = 0 + 0 - 5

g(0) = -5

Lastly, let x = 3.

g(3) = 2(3)^2 + 3(3) - 5

g(3) = 2(9) + 9 - 5

g(3) = 18 + 9 - 5

g(3) = 27 - 5

g(3) = 22

Did you follow through each step?

4 0
3 years ago
Write an equation of a line parallel to y=1/2x+3 that passes through (2,5)
tamaranim1 [39]
y=\frac{1}{2}x+3 \parallel y=mx+b

Two lines are parallel when their slopes are the same.
m=\frac{1}{2} \\ y=\frac{1}{2}x+b \\ \\ (2,5) \\ x=2 \\ y=5 \\ \Downarrow \\&#10;5=\frac{1}{2} \times 2 + b \\ 5=1+b \\ b=4 \\ \\ \boxed{y=\frac{1}{2}x+4}&#10;

5 0
3 years ago
Read 2 more answers
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