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3 years ago

5

a parallelogram has a height of 16 inches and a area of A. Write a.formula to determine b, the base of the parallelogram

1 answer:

Rzqust [24]3 years ago

8 0

Answer:

A divided by 16=b

Step-by-step explanation:

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The corners of a meadow are shown on a coordinate grid. Ethan wants to fence the meadow. What length of fencing is required?

Nuetrik [128]

Answer:

34.6 units

Step-by-step explanation:

The lenght of fencing required is the total distance between point A to B, B to C, C to D, and D to A. That is the distance between all 4 corners of the meadow.

The coordinates of the corners of the meadow is shown on a coordinate plane in the attachment. (See attachment below).

Let's use the distance formula to calculate the distance between the 4 corners of the meadow using their coordinates as follows:

Distance between point A(-6, 2) and point B(2, 6):

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

Let,

$A(-6, 2)) = (x_1, y_1)$

$B(2, 6) = (x_2, y_2)$

$AB = \sqrt{(2 - (-6))^2 + (6 - 2)^2}$

$AB = \sqrt{(8)^2 + (4)^2}$

$AB = \sqrt{64 + 16} = \sqrt{80}$

$AB = 8.9$ (nearest tenth)

Distance between B(2, 6) and C(7, 1):

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

Let,

$B(2, 6) = (x_1, y_1)$

$C(7, 1) = (x_2, y_2)$

$BC = \sqrt{(7 - 2)^2 + (1 - 6)^2}$

$BC = \sqrt{(5)^2 + (-5)^2}$

$BC = \sqrt{25 + 25} = \sqrt{50}$

$BC = 7.1$ (nearest tenth)

Distance between C(7, 1) and D(3, -5):

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

Let,

$C(7, 1) = (x_1, y_1)$

$D(3, -5) = (x_2, y_2)$

$CD = \sqrt{(3 - 7)^2 + (-5 - 1)^2}$

$CD = \sqrt{(-4)^2 + (-6)^2}$

$CD = \sqrt{16 + 36} = \sqrt{52}$

$CD = 7.2$ (nearest tenth)

Distance between D(3, -5) and A(-6, 2):

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

Let,

$D(3, -5) = (x_1, y_1)$

$A(-6, 2) = (x_2, y_2)$

$DA = \sqrt{(-6 - 3)^2 + (2 - (-5))^2}$

$DA = \sqrt{(-9)^2 + (7)^2}$

$DA = \sqrt{81 + 49} = \sqrt{130}$

$DA = 11.4$ (nearest tenth)

Length of fencing required = 8.9 + 7.1 + 7.2 + 11.4 = 34.6 units

8 0

3 years ago

The sum of two numbers is 54. Their difference is 4. What are the two numbers

zaharov [31]

Answer:

24 and 29

Explaination:

They are 4 apart and they add up to 54

7 0

3 years ago

Read 2 more answers

Alchen [17]

The answer to the question

5 0

3 years ago

The administrator of a nursing home would like to do a time-and-motion study of staff time spend per day performing nonemergency

WINSTONCH [101]

Answer:

32 days must be sampled to test the proposed hypothesis.

Step-by-step explanation:

Consider the provided information.

The average number of person-hours per day spent on these task was $\mu_0=16$ .

The actual value of μ is 12 hours or less i.e μ=12

She wants a test having α=0.05

The probability of a type II error of at most β=0.10 and σ=7.64.

δ = μ-μ0

= 12-16

= -4

Now use the formula for calculating the sample size:

$N=\frac{(Z_{\alpha}+Z_{\beta})^2\sigma^2}{\delta^2}$

Substitute the respective values.

$N=\frac{(Z_{0.05}+Z_{0.1})^2(7.64)^2}{(-4)^2}$

$N=\frac{(1.6449+1.2816)^2(7.64)^2}{16}$

$N=31.2437958482\approx 32$

Hence, 32 days must be sampled to test the proposed hypothesis.

5 0

3 years ago

Helllppp pleassssseeeee

Elenna [48]

Answer:

132 square cm = 20.46 square inches

Step-by-step explanation:

Total surface area = area of base (square) + 4 x area of one triangle.

$= {6}^{2} + 4 \times \frac{1}{2} \times 6 \times 8 \\ = 36 + 2 \times 48 \\ = 36 + 96 \\ = 132 \: {cm}^{2} \\= 20.46\: inches^2$

4 0

3 years ago