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3 years ago

Help me figure out question 2 plz

Mathematics

1 answer:

kotegsom [21]3 years ago

5 0

Answer:

42ee

Step-by-step explanation:

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The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second.

pickupchik [31]

Answer: first option.

Step-by-step explanation:

The ratio of the area of the triangles can be calculated as following:

$ratio_{(area)}=(\frac{l_1}{l_2})^2$

Where $l_1$ is the lenght of the given side of the smaller triangle and $l_2$ is the lenght of the given side of the larger triangle.

Therefore:

$ratio_{(area)}=(\frac{28}{32})^2=\frac{49}{64}$

It can be written as following:

$ratio_{(area)}=49:64$

The ratio of the perimeter is:

$ratio_{(perimeter)}=\frac{l_1}{l_2}$

Where $l_1$ is the lenght of the given side of the smaller triangle and $l_2$ is the lenght of the given side of the larger triangle.

Therefore:

$ratio_{(perimeter)}=\frac{28}{32}=\frac{7}{8}$

It can be written as following:

$ratio_{(perimeter)}=7:8$

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4 years ago

Which is the solution set of the compound inequality 3.5 x minus 10 greater-than negative 3 and 8 x minus 9 less-than 39

dexar [7]

The solution for the compound inequality is $x \in(2,6)$

Explanation:

The equations are $3.5x-10>-3$ and $8x-9$

To find the solution set for these compound inequalities, we need to solve the inequality.

First, we shall solve the inequality $3.5x-10>-3$

Adding both sides of the equation by 10, we have,

$3.5x>7$

Dividing both sides by 3.5, we get,

$x>2$

Now, we shall solve the inequality $8x-9$ ,

Adding both sides of the equation by 9, we have,

$8x$

Dividing both sides by 8, we get,

$x$

Thus, the solution set for the inequalities $3.5x-10>-3$ and $8x-9$ is $x \in(2,6)$

4 0

3 years ago

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Which is the graph of f(x) = 3 (2^x/3)?

Over [174]

Answer:

Step-by-step explanation:

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3 years ago

0.12 times 0.08 divided by 2.40

blagie [28]

Answer:

Step-by-step explanation:

515615151

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3 years ago

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Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long

7nadin3 [17]

The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:
$k = \frac{RP}{HF}$
$k = \frac{7.2}{12}$
$k = 0.6$
To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:

For PQ
$PQ = k * FG

PQ = 0.6 * 5

PQ = 3$

For QR
$QR = k * GH

QR = 0.6 * 10

QR = 6$

Answer:
You have that the lengths for the other two sides of triangle PQR are:
$PQ = 3

QR = 6$

3 0

4 years ago