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egoroff_w [7]
3 years ago
15

Please help me Determine the value of base b if (152)b = 0x6A. Please show all steps.

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

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

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The measures of the angles of a triangle are 42°, 68°, and 70°. Classify the triangle. right equiangular obtuse acute
cricket20 [7]

Answer:

Scalene acute triangle

Step-by-step explanation:

And acute has less than 90 degrees all of them are less than 90 which makes it acute, scalene

5 0
3 years ago
The Library is having a book sale. Hardcover books sell for $4 each, and paperbacks sell for $2 each. If Connie spent $26 on 8 b
LenKa [72]

If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

<h3>Number of hardcover bought</h3>

Let h represent hard cover

Let p represent paperbacks

Formulate an equation

h + p= 8.......(1)

4h + 2p= 26......(2)

Multiply equation (1) by -2

-2h + -2p = -16

<u> 4h  +  2p   = 26</u>

2h  +   0p =10

2h = 10

Divide both side by 2h

h=10/2

h =5 hard covers

Paper backs

P=5-2

P=3 paper backs

Therefore If Connie spent $26 on 8 books, The number of hard covers she buy is 5 hard cover.

Learn more about Number of hardcover bought here:brainly.com/question/18306224

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6 0
11 months ago
Plsss HELP ANYONE PLSSS !
Talja [164]

Answer:

can be fourth one cause it starts at 2 on y axis. ( fourth option)

Step-by-step explanation:

can't be the first one cause it starts at origin

can't be second one cause it starts at -2 on x axis

can't be third on cause it starts on 2 on x axis

can't be fifth cause it starts on -2 on y axis.

3 0
3 years ago
You and your friend are selling tickets to a charity event. you sell 12 adult tickets and 6 student tickets for $138. your frien
mr Goodwill [35]
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:

(1) 12y + 6x = 138
(2) 5y + 11x = 100

If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x

We can now substitute this into equation (2):

5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
6 0
3 years ago
Could u clinch this???
disa [49]
Hope it can help u!!!!!!!

5 0
2 years ago
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