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il63 [147K]
2 years ago
9

Mark has a postcard with a width of 3 to 2/3 inches. He wants to enlarge the postcard by a factor of 9 1/2 to make a poster. Whi

ch of the following is true?
Mathematics
1 answer:
alexandr402 [8]2 years ago
7 0

Answer:

The poster will have a width of 34 5/6 inches.

Step-by-step explanation:

11/3*19/2=209/6=34 5/6

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Please help me<br><br> Determine the value of base b if (152)b = 0x6A. Please show all steps.
egoroff_w [7]

Answer:

The value of b is, 8

Step-by-step explanation:

To determine the value of b:

Given:

(152)_b = 0x6A               ....[1]

Since, 0x6A represents the hexadecimal form.

To convert this hexadecimal form into decimal form:

(6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106

⇒0x6A=106(decimal form)

Now we have to convert this decimal form into octal

8  |  106

8   |  13   | 2

    |   1    |  5

        1

Then, the octal form we get, (152)_8

Substitute this in [1] we have;

(152)_b = (152)_8

On comparing both sides we have;

b = 8

Therefore, the value of b is, 8

5 0
3 years ago
Solve for A R=x(A+B)
julia-pushkina [17]
R=x(A+B)
divide both sides by x
R/x=A+B
minus B both sides
(R/x)-B=A
A=(R/x)-B
5 0
3 years ago
A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle
Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will <u>always be equal of the width of the paper</u>. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is   \frac{b\times h}{2}<em>, where </em><u><em>b is the base</em></u><em> and </em><u><em>h is the height</em></u><em>.</em>

As we previously found, for this question, the

<em>base = height = width of the paper = 5cm</em>

Now, we just have to calculate it with the formula

Area = \frac{base \times height}{2} \\\\&#10;\\&#10;Area = \frac{5 \times 5}{2} \\&#10;\\&#10;Area = \frac{25}{2}\\&#10; \\&#10;Area = 12.5 cm^{2}

learn more about the area of the triangle here: brainly.com/question/15442893

3 0
2 years ago
115km×10=how many hm
andrezito [222]
This answer to this question is 1150 km
6 0
3 years ago
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Two groups of students were asked how many pets they had. The table below shows the numbers for each group:
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Whats the question tho
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3 years ago
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