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tangare [24]
3 years ago
14

A glass is

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

135ml

Step-by-step explanation:

glass originally 4/12 full

it then became 9/12 full

therefore 75ml = 5/12

75/5= 15ml per 1/12

15x9= 135ml total

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Right angle trigonometry
Nady [450]

Answer:

B

Step-by-step explanation:

Given

sinΘ = \frac{1}{\sqrt{2} }, then

Θ = sin^{-1}( \frac{1}{\sqrt{2} } ) = 45° → B

7 0
3 years ago
Are the fractions 4/6 and 6/9 proportional
nata0808 [166]

Answer:

Yes

Step-by-step explanation:

They are proportional by a scale of 1.5

8 0
3 years ago
Read 2 more answers
Among 500 freshmen pursuing a business degree at a university, 311 are enrolled in an economics course, 243 are enrolled in a ma
Allushta [10]

Solution :

Let A = Economics, B = Mathematics

n(A) = 311, n(B) = 243, $n(A \cap B) = 135$

a). So, $n(A \cup B) = n(A) +n(B) - n(A \cap B)$

                     = 311 + 243 - 135

                     = 419

b). n(A only) = 311 - 135

                   = 176

     n(B only) = 243 - 135

                   = 108

Exactly one of these two courses

  $=\frac{176+108}{500}$

  = 0.568

c). Neither economics nor mathematics

    $=\frac{500-419}{500} $

  $=\frac{81}{500}$

 = 0.162

7 0
3 years ago
One side of a rectangle is 9 millimeters shorter than six times the other side. Find the length of the longer side if we also kn
vodka [1.7K]

Given:

W(width) = (6L) - 9

L(length) = L

Equation:

2( [ 6L ] - 9) + 2 (L) = 150

= 12L - 18 + 2L = 150

= 12L + 2L = 150 + 18

=14L = 168

L = 168/14, so the length is 12. Let's check our work.

Width:  6(12) - 9 = 72 - 9 = 63

Length: 12

Since there are two lines of width and two lines of length:

2(12) + 2(63) = 24 + 126, which gives you a perimeter of 150 mm.

Hope this helped.

4 0
3 years ago
Ali was asked to simplify the expression 3(x - 6) + (4x + 12) - 6x. His work is shown below.
liraira [26]

Answer:

Step 2 is wrong.

It should be 3x – <u>18</u> + 4x + 12 – 6x

Explanation:

3(x – 6) + (4x + 12) – 6x →

3x – 18 + 4x + 12 – 6x →

(3x + 4x – 6x) + (-18 + 12) →

x – 6

6 0
3 years ago
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