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Ksju [112]
2 years ago
15

Here is a right angled triangle work out the value of x using trigonometry

Mathematics
1 answer:
Zolol [24]2 years ago
8 0

~~~~~\sin 30^{\circ} = \dfrac{\text{Perpendicular}}{\text{Hypotenuse} }\\\\\\\implies \dfrac 12 = \dfrac{8}x\\\\\\\implies x =  8\cdot2\\\\\\\implies x = 16 ~ \text{cm.}

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AKI-OLA publication annual income of 258,ooo
Svetradugi [14.3K]

Answer:

(a) 19%

(b) 5:6

Step-by-step explanation:

Given: Gh 258,000

salaries Gh 49,020

training Gh 72,000

housing Gh 60,000

entertainment Gh 12,000

exigencies Gh 23,020

(a) Percentage of the income spent on salaries = \frac{amount of salaries}{total income} x 100

                           = \frac{49020}{258000} x 100

                           = 0.19 x 100%

                           = 19%

The percentage of the income spent on salaries is 19%.

(b) Ratio of amount for housing to amount for training = \frac{amount for housing}{amount for training}

                                = \frac{60000}{72000}

                                = \frac{5}{6}

The ratio of the amount for housing to the amount for training is 5:6

4 0
3 years ago
use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24
drek231 [11]

Step-by-step explanation:

It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.

If you divide 6 by 1/4, you will get 24.

If you divide 4 by 1/6, you will get 24.

How to create 1/4 from 1,3, and 4?

How to create 1/6 from 1,3, and 6?

Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!

So, the answer is 6/[1–3/4]=24.

3 0
3 years ago
Read 2 more answers
Divide using long division. 6x^3+4x^2+3x+2/ 3x+2
12345 [234]

Answer: 2x² + 1

<u>Explanation:</u>

          <u>  2x²  +  0x  +  1     </u>

3x + 2 ) 6x³ + 4x² + 3x + 2

         - <u>(6x³ + 4x²</u>)    ↓     ↓

                                3x + 2

                             - <u>(3x + 2)</u>

                                        0

5 0
3 years ago
There are twenty trays of paint. Each tray has five colors. One of the colors is purple. What fraction of the colors is purple i
suter [353]
In one tray, we have 1/5. Since one is purple out of the 5 colors. 

So in 20 trays, we have:

(1/5) x 20 = 20/5 = 4
6 0
3 years ago
Read 2 more answers
What is the least common multiple of 2, 6, and 15?
VLD [36.1K]

Answer:

30

Step-by-step explanation:

Prime factorization of the numbers:

2 = 2 × 1

6 = 2 × 3

15 = 3 × 5

LCM(2, 6, 15)

= 2 × 3 × 5

= 30

5 0
3 years ago
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