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vampirchik [111]

1 year ago

11

32) The cost of mailing a first-class letter is $.22 for the first ounce and $.17 for each additional ounce or fraction

1 answer:

masya89 [10]1 year ago

3 0

Answer is $1.31
Step by step
We know total weight is 7.4 ounce
The first ounce is $.22
That leaves 6.4 ounces to pay for at $.17 per ounce
6.4 x .17 = 1.088 round to $1.09
Add $1.09 + $.22 = $1.31
You don’t have that choice listed

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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

3 years ago

The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod

Dominik [7]

Answer:

$\frac{1}{725}$

The sear tower is $725$ times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

so

$z=\frac{x}{y}$

we have

$x=24\ in$

$y=1,450\ ft$

substitute

$z=\frac{24}{1,450}\frac{in}{ft}$

simplify

$z=\frac{12}{725}\frac{in}{ft}$

Remember that

$1\ ft=12\ in$

so

$\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}$

8 0

3 years ago

Read 2 more answers

The Highest Common Factor of three numbers is 6 and the Lowest Common Multiple is 24 What are the three numbers?(PLEASE HELP)

vazorg [7]

Answer:

GCF of 3 and 6 is 3.

LCM of 3 and 6 is 6.

Step-by-step explanation:

6 0

3 years ago

If = 12 –3 a,find the value ofxwhen a= 8

faust18 [17]

Answer:

-12

Step-by-step explanation:

x = 12-3a

When a=8:

x = 12-3(8)

x = 12 - 24

x = -12

5 0

2 years ago

A pecan pie is being served for dessert. One piece of pie has an arc length of 7.85 in. It has been cut into 8 equal pieces. Wha

pishuonlain [190]

Answer: 10 inches.

Step-by-step explanation:

Since the pecan pie is a circle, you can use this formula:

$arc\ length=r\theta$

Where "r" is the radius and $\theta$ is the central angle of the arc in radians.

If the pecan pie has been cut into 8 equal pieces then the central angle is:

$\theta=\frac{2\pi}{8}\\\\\theta={\frac{\pi}{4}$

Now you know the arc length and the central angle, then, you can solve for "r" from $arc\ length=r\theta$ :

$\frac{arc\ length}{\theta} =r$

Substituting values, you get that the radius of the pecan pie rounded to the nearest whole number is:

$r=\frac{7.85in}{\frac{\pi}{4}}\\\\r=10in$

8 0

3 years ago