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Harman [31]
3 years ago
5

A certain fraction is greater than 2. The denominator is 8. What must be true about the numerator?

Mathematics
1 answer:
Volgvan3 years ago
5 0

Answer:

The numerator must be greater than 16

Step-by-step explanation:

We are told that a certain fraction is greater than 2. Thus, if the numerator and denominator are x and y respectively, then we have;

x/y > 2

We are further told that the denominator is 8.

Thus;

x/8 > 2

Multiply both sides by 8 to give;

x > 16

Thus,the numerator must be greater than 16.

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The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a window. In paralle
Darina [25.2K]

Answer:

  A.) JH = 1 in

  B.) GH = 3/4 in

  C.) m∠F = 62°

  D.) m∠J = 118°

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, adjacent angles are supplementary, and opposite sides are congruent.

  A.) JH = FG = 1 in

  B.) GH = FJ = 3/4 in

  C.) m∠F = m∠H = 62°

  D.) m∠J = m∠G = 180° -62° = 118°

8 0
3 years ago
Figures A and B at right are similar. Assuming that figure A is the original figure, find the scale factor and find the lengths
AnnZ [28]

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

<h3>How to find Scale Factor?</h3>

Scale factor = dimension of new figure / dimension of original figure

The polygons given are shown in the diagram attached below.

Figure A is the original figure

Figure B is the new figure.

x, y, and z has been used to mark the missing sides of figure B.

One dimension of original figure = 15

Corresponding dimension of the new figure = 3

Scale factor = new/original = 3/15

Scale factor = 1/5

To find the missing sides of figure B, multiply each corresponding side lengths of Figure A by the scale factor:

x = 12 × 1/5 = 2.4

y = 18 × 1/5 = 3.6

z = 20 × 1/5 = 4

In summary:

The scale factor is: 1/5.

The missing sides of figure B are: 2.4, 3.6, and 4.

Learn more about scale factor on:

brainly.com/question/2826496

3 0
3 years ago
Solve the equation m²+4m=-2
UNO [17]
Step 1: Subtract -2 from both sides.<span><span><span><span>
m2</span>+<span>4m</span></span>−<span>(<span>−2</span>)</span></span>=<span><span>−2</span>−<span>(<span>−2</span>)</span></span></span><span><span><span><span>
m2</span>+<span>4m</span></span>+2</span>=0</span>
Step 2: Use quadratic formula with a=1, b=4, c=2.<span>
m=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>
m=<span><span><span>−<span>(4)</span></span>±<span>√<span><span><span>(4)</span>2</span>−<span><span>4<span>(1)</span></span><span>(2)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>
m=<span><span><span>−4</span>±<span>√8</span></span>2</span></span><span><span>
m=<span><span>−2</span>+<span><span><span>√2</span><span> or </span></span>m</span></span></span>=<span><span>−2</span>−<span>√2</span></span></span><span>
</span>
4 0
3 years ago
Read 2 more answers
A chemist is using 382 milliliters of a solution of acid and water. If 15.4% of the solution is acid, how many milliliters of ac
Elina [12.6K]

Answer:

58.8

Step-by-step explanation:

basic facts:

-15.4% is the same as 15.4/100

- the word 'of' in maths means times

so 15.4% of the 382ml is the same as

382*15.4/100

to do that, you multiply 382 by 15.4 = 5882.8

then you divide that by 100= 58.828

and then you just round that of to 58.8

                                 

8 0
3 years ago
15x (1/3+1/5)<br> I need help with this one also?
love history [14]

Answer:

8

Step-by-step explanation:

15 x (1/3+1/5)  make common denominators and add

15 x (5/15+3/15)  add fractions

15/1 x (8/15)  15 and 15 cancel out and become 1

1/1 x 8/1

1 x 8

8

3 0
3 years ago
Read 2 more answers
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