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just olya [345]
2 years ago
10

In the diagram, ABC is a right - angled triangle.

Mathematics
1 answer:
Firdavs [7]2 years ago
4 0

\to \rm \sin(30)  = \dfrac{AC }{AB}

\\  \\

\to \rm \sin(30)  = \dfrac{AC }{40}

\\  \\

\to \rm  \dfrac{1}{2} = \dfrac{AC }{40 \degree}

\\  \\

\to \rm  \dfrac{40}{2} =AC

\\  \\

\to \rm \: AC  = 20 m

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5 0
3 years ago
Read 2 more answers
What 2/9rounded to the nearest whole number
Arte-miy333 [17]
The answer is 3 because if you were to round 2.9 the next whole up from that is 3
4 0
3 years ago
The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is eac
Bess [88]

Answer:

  • 45 and 72

Step-by-step explanation:

Let the ages be r and m

<u>We have:</u>

  • r + m = 117
  • 5r = 9 + 3m

<u>Substitute m in the second equation and solve for r:</u>

  • m = 117 - r
  • 5r = 9 + 3( 117 - r)
  • 5r = 9 + 351 - 3r
  • 5r + 3r = 360
  • 8r = 360
  • r = 360/8
  • r = 45

<u>Then m is</u>

  • m = 117 - 45 = 72
3 0
3 years ago
Every prime number greater than 10 has a digit in the ones place that is include in wich set of numbers A- 1,3,7,9 B-1,3,5,9 D-1
marta [7]

That's very interesting.  I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:

-- 0:
   A number greater than 10 with a 0 in the units place is a multiple of
   either 5 or 10, so it's not a prime number.

-- 1:
    A number greater than 10 with a 1 in the units place could be
    a prime (11, 31 etc.) but it doesn't have to be (21, 51).

-- 2:
   A number greater than 10 with a 2 in the units place has 2 as a factor
   (it's an even number), so it's not a prime number.

-- 3:
   A number greater than 10 with a 3 in the units place could be
   a prime (13, 23 etc.) but it doesn't have to be (33, 63) .

-- 4: 
   A number greater than 10 with a 4 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 5:
   A number greater than 10 with a 5 in the units place is a multiple
   of either 5 or 10, so it's not a prime number.

-- 6:
   A number greater than 10 with a 6 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 7:
   A number greater than 10 with a 7 in the units place could be
   a prime (17, 37 etc.) but it doesn't have to be (27, 57) .

-- 8:
   A number greater than 10 with a 8 in the units place is an even
   number, and has 2 as a factor, so it's not a prime number.

-- 9:
   A number greater than 10 with a 9 in the units place could be
   a prime (19, 29 etc.) but it doesn't have to be (39, 69) .

So a number greater than 10 that IS a prime number COULD have
any of the digits  1,  3,  7,  or  9  in its units place.

It CAN't have a  0,  2,  4,  5,  6,  or  8 .

The only choice that includes all of the possibilities is  'A' .

4 0
3 years ago
Julia has 8 red barrettes 2/4 of her barrettes are red how many barrettes does Julia have
kipiarov [429]

Answer:16

Step-by-step explanation:

2/4 = 1/2

8+8=16

4 0
2 years ago
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