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inna [77]
2 years ago
9

How many different pairs of faces are congruent in a rectangular prism that is not a cube

Mathematics
1 answer:
Kaylis [27]2 years ago
3 0

Answer:

2

Step-by-step explanation:

every rectangular prism has 6 faces, 2 will be congruent together and thw other 4 will be congruent to each other

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In New York, state sales tax rates vary by county. In Allegany County, the sales tax rate is 8 1 2 %. a. A book costs $12.99, an
ArbitrLikvidat [17]

Answer:

$ 2.30

Step-by-step explanation:

Given that the sales tax rate = 8\frac{1}{2}\%=8.5\%

The cost of the book is $ 12.99.

So, the tax on the book= 8.5% of 12.99

= \frac {8.5}{100}\times 12.99

=1.10

So, the sales tax on the book is $ 1.10.

The cost of the video game is $ 39.99.

So, the tax on the book= 8.5% of 39.99

= \frac {8.5}{100}\times 39.99

=3.30

So, the sales tax on the book is $ 3.40.

The difference of taxes on both the items = $ 3.40-$ 1.10=$ 2.30

So, the tax on the video game is $ 2.30 more than then tax on the book.

3 0
3 years ago
Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
FromTheMoon [43]

Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0
3 years ago
The price-earnings ratio for firms in a given industry follows the normal distribution. In this industry, a firm whose price-ear
lesantik [10]

Answer:

The correct answer is

A. 16%

Step-by-step explanation:

The zscore is used to solve problems of normally distributed samples.

This score indicates the percentage of a certain measure. It can be found looking at the z table.

For example, if a measure has a percentile of 75%, it is in the 100%-75% = highest 25 percent of all the measures.

Z = 1 has a pvalue 0.8413. So it is in the highest 1-0.8413 = 0.1587 = 16% percent of firms in the industry.

The correct answer is

A. 16%

4 0
3 years ago
The girl to boy ratio is 3 to 7 if there are 50 students total how many boys
Naddik [55]

Answer:

15 girls, 35 boys

Step-by-step explanation:

Step 1:

3 : 7       Ratio

Step 2:

3x + 7x = 50        Substitute

Step 3:

10x = 50     Add

Step 4:

50 ÷ 10     Divide

Step 5:

x = 5

Answer:

15 girls, and 35 boys     Multiply

Hope This Helps :)

5 0
3 years ago
A line that includes the points ( - 2, - 9) and ( - 6,n) has a slope of - 1. What is the value of n?
Genrish500 [490]

Write out the slope formula:

m = (change in y) / (change in x)

Here,

m = n-(-9) / (-6-(-2)) = (n+9 / (-4)

Now set this slope equal to -1 and solve the resulting equation for n:

(n+9) / (-4) = - 1, or   (n+9) / 4 = 1, or n+9 = 4.  Then n = -5.

7 0
3 years ago
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