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2 years ago

7

Match the inequality to the graph of the solution C - 6 < 4

1 answer:

SVEN [57.7K]2 years ago

4 0

Answer:

A

Step-by-step explanation:

C - 6 < 4

<u> +6 +6 </u>

C < 10

Open circle at 10 and shade to the left.

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3. The table shows the production results for three factories. How many cars are manufactured at the fastest factory in one year

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1 year ago

I need helpppppppppppppppppppppppppppppppppp

Alexxandr [17]

Answer:

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Step-by-step explanation:

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2 years ago

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22 random samples were selected from a population that has a normal distribution the sample has a mean of 99 and a standard devi

olga2289 [7]

Answer:

(96.91, 101.09)

Step-by-step explanation:

To calculate the interval, you require the Z value at 95% confidence interval. The Z value is 1.96. The formula to calculate the confidence interval:

$X-Zs/\sqrt{x} \\X+Zs/\sqrt{x}$

Where X is the mean and s is the standard deviation and x the sample size:

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3 years ago

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919,827 to the nearest 1000, 100, and 100

OverLord2011 [107]

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8 0

3 years ago

The design for the palladium window shown includes a semicircular shape at the top. The bottom is formed by squares of equal siz

9966 [12]

Answer:

$(a)\ Area = 3765.32$

$(b)\ Area = 4773$

Step-by-step explanation:

Given

$A_1 = 169in^2$ --- area of each square

$Shade = 4in$

See attachment for window

Solving (a): Area of the window

First, we calculate the dimension of each square

Let the length be L;

So:

$L^2 = A_1$

$L^2 = 169$

$L = \sqrt{169$

$L=13$

The length of two squares make up the radius of the semicircle.

So:

$r = 2 * L$

$r = 2*13$

$r = 26$

The window is made up of a larger square and a semi-circle

Next, calculate the area of the larger square.

16 small squares made up the larger square.

So, the area is:

$A_2 = 16 * 169$

$A_2 = 2704$

The area of the semicircle is:

$A_3 = \frac{\pi r^2}{2}$

$A_3 = \frac{3.14 * 26^2}{2}$

$A_3 = 1061.32$

So, the area of the window is:

$Area = A_2 + A_3$

$Area = 2704 + 1061.32$

$Area = 3765.32$

Solving (b): Area of the shade

The shade extends 4 inches beyond the window.

This means that;

The bottom length is now; Initial length + 8

And the height is: Initial height + 4

In (a), the length of each square is calculated as: 13in

4 squares make up the length and the height.

So, the new dimension is:

$Length = 4 * 13 + 8$

$Length = 60$

$Height = 4*13 + 4$

$Height = 56$

The area is:

$A_1 = 60 * 56 = 3360$

The radius of the semicircle becomes initial radius + 4

$r = 26 + 4 = 30$

The area is:

$A_2 = \frac{3.14 * 30^2}{2} = 1413$

The area of the shade is:

$Area = A_1 + A_2$

$Area = 3360 + 1413$

$Area = 4773$

7 0

2 years ago