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Mariulka [41]
3 years ago
13

3. (05.05)

Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:

The inequality x>2 matches the graph.

Step-by-step explanation:

From the graph, it is clear that the shaded graph is heading towards the +ve infinity from the x > 2.

If the inequality includes < or >, we graph the equation as a dotted line.

From the graph, the dotted line indicates that x=2 is not included in the solution of the inequality.

so the interval of the domain of the inequality is: (2, ∞)

Therefore, the inequality x>2 matches the graph.

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PLEASE HELP SOLVE THIS!!!!!!!!!!!
Sphinxa [80]

9514 1404 393

Answer:

  a) yes; 12/15/17 ~ 20/25/x; SAS

  b) x = 28 1/3

Step-by-step explanation:

The left-side segments are in the ratio ...

  top : bottom = 12 : 8 = 3 : 2

The right side segments are in the ratio ...

  top : bottom = 15 : 10 = 3 : 2

These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.

Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:

  12/15/17 ~ 20/25/x

__

The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:

  x = 17/12 · 20 = 340/12

  x = 28 1/3

4 0
3 years ago
What’s the value of x
kozerog [31]
Answer should be:

X=9.
6 0
3 years ago
Read 2 more answers
How to evaluate the expression
jasenka [17]

Answer:

1

Step-by-step explanation:

4^{5} can be expressed as 2^{(2)(5)} = 2^{10}

Similarly 4^{8} can be expressed as 2^{(2)(8)} = 2^{16}

Numerator becomes:

2^{10} · -2^{9} = -2^{19}

Denominator becomes:

2^{16} · -2^{3} = -2^{19}

Since numerator = Denominator,

Answer = 1

Edit reason: typo

4 0
3 years ago
How do you go about doing this surface area problem?
hammer [34]
Break it down into 2-Dimensional shapes. Then add the areas together.

From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²

total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²

For the volume; break it up into 3-dimenssional shapes and add the volumes together.

From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³

Total volume = 384 m³ + 144 m³
= 528 m³
5 0
3 years ago
Raj recorded the scores of six of his classmates in the table.
WINSTONCH [101]
98-70 is 28 meaning that the range is 28
4 0
3 years ago
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