Help !!! I’ve been stuck for 30 minutes

Mathematics

2 answers:

leonid [27]3 years ago

6 0

Answer:

The answer is <u>139 and 1/3</u> or <u>139.333333...</u>

Step-by-step explanation:

To find the answer to this question, you have to find the unit rate of the bug's crawling speed. To do this, you divide the centimeters by the seconds. 6 centimeters/ 22 seconds= 3/11 cm per sec. Then you divide this value by 38 cm. 38 divided by 3/11 equals 139 and 1/3. So, the answer is 139 and 1/3 or 139.333333... I hope this helps and that you have a fantastic day.

Lena [83]3 years ago

5 0

Answer:

418/3 sec

Step-by-step explanation:

We know it can crawl 6 cm in 22 sec, so we set up a proportion:

$\frac{6}{22} =\frac{38}{x}$ , where x is the time for the bug to crawl 38 cm

Cross multiplying, we get: 6x = 22 * 38 = 836; so, x = 836/6 = 418/3 sec

Thus, the answer is 418/3 seconds.

Hope this helps!

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Answer:

Following are the responses to the given points:

Step-by-step explanation:

Dilation implies the triangle $\Delta XYZ$ stretched through the factor "2".

$m\angle Y = m\angle C = 90^{\circ} \leftarrow given \\\\$

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$\Delta XYZ and \Delta ACB \\\\\angle X \cong \angle A \leftarrow given\\\\$

complementary angles:

$\angle X \ and\ \angle Z$

$m\angle Z = 90^{\circ} - m\angle X \\\\$

complementary angles:

$\angle A \ and\ \angle B$

$m\angle B = 90^{\circ} - m\angle A \\\\\therefore \\\\ \angle Z \cong \angle B \\\\\Delta XYZ \sim \Delta ACB \\\\$

Same triangles: proportional side are corresponding, congruence angles are respective.

$\sin \angle X = \frac{5}{5.59} \leftarrow given \\\\\sin\angle X = \frac{YZ}{XY} \\\\YZ = 5 (units) \rightarrow leg in \Delta XYZ \\\\XZ = 5.59 (units) \rightarrow hypotenuse \ in\ \Delta XYZ\\\\$

Calculating the length of leg XY:

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