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Lerok [7]
3 years ago
9

The base of the right prism is a rhombus with the side 7 cm. The altitude of the prism is h=13 cm. Find the lateral area of the

prism.
Mathematics
2 answers:
Art [367]3 years ago
6 0

Answer:The lateral area is 364\ cm^{2}

Step-by-step explanation:

we know that

The lateral area of the right prism is equal to

LA=Ph

where

P is the perimeter of the base

H is the height of the prism

Find the perimeter of the base P

P=4(7)=28\ cm ----> the rhombus has  four equal sides

h=13\ cm

substitute

LA=28(13)=364\ cm^{2}

Verizon [17]3 years ago
4 0

Answer:

AL = 364 cm^2

Step-by-step explanation:

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7

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4) Arnold ate breakfast at a restaurant. His total came to $76.75. There is an 8% sales tax and 15% tip. What is Arnold's total
lisov135 [29]

Answer:

The total cost is $95.32.

Step-by-step explanation:

Given:

Total came to $76.75. There is an 8% sales tax and 15% tip.

Now, to find the total cost.

<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>

$76.75 + 8% of $76.75

76.75+\frac{8}{100}\times 76.75

76.75+0.08\times 76.75

76.75+6.14

82.89

The cost after sales tax is $82.89.

Now, <em>the cost after 15% tip:</em>

$82.89 + 15% of $82.89

82.89+\frac{15}{100}\times 82.89

82.89+0.15\times 82.89

82.89+12.43

95.32

The cost after the tip is $95.32.

Therefore, the total cost is $95.32.

8 0
3 years ago
Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to sho
Ne4ueva [31]

In the top right corner is -7x since we multiply the x and -7

In the bottom row, we'll have 5x for the first box and -35 for the second box. Each box is the result of multiplying the outer values.

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2 years ago
Please help me simplify these expressions
Rina8888 [55]

Answer:

4. -2s^9

7. 8b^10

Step-by-step explanation:

First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.

2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.

Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.

It may help to brush up on exponent rules and sign rules.

6 0
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Webwork Homework Help; If you but that link that leads to a virus i'm reporting your account!
Darya [45]

9514 1404 393

Answer:

  f(x) = sin(0.62832(x +1))

Step-by-step explanation:

The period of the function is the difference between x=4 and x=-6, which is 10 units. Then the horizontal scaling needs to be such that when x changes by 10, the argument of the sine function changes by 2π. That scaling will make it ...

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If we use the given numerical value for pi, this becomes ...

  f(x) = sin(0.62832(x +1))

8 0
2 years ago
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