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mario62 [17]
3 years ago
7

3. which is a prime number 32, 42, 29, 15

Mathematics
2 answers:
Tresset [83]3 years ago
7 0
29 is the answer. 32 can be divided by , 42 can also, and 15 can be divided by 5.
jolli1 [7]3 years ago
4 0
The prime number is 29 since 7•3=21, 7•4=28, 7•5=35 and 8•3=24, 8•4=32. There aren't any factors to make 29
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The ratio of the perimeters of two similar triangles is 4:3. What are the areas of these triangles if the sum of their areas is
emmasim [6.3K]

Answer:

the areas of these triangles are 83.2cm² and 46.8cm²

Step-by-step explanation:

1. If the triangles are similar and the ratio of the perimeter ois 4:3, then the areas are in the following ratio:

4²:3²

 16:9                                                                      

2. The sum of their areas is 65 cm², then, you can calculate the area of the larger triangle as following:

130(16/16+9)

130(0.64)

=83.2cm²

3. The area of the smaller triangle is:

130(9/16+9)

130(0.36)

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<u>Hope this help</u>s

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Find the number of distinct triangles with the measurements a = 8, b = 14, and A = 30°.​
Maslowich

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Step-by-step explanation:

By the law of sines,

\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \frac{\sin B}{14}=\frac{\sin 30^{\circ}}{8} \\ \\ \frac{\sin B}{14}=\frac{1}{16} \\ \\ \sin B=\frac{14}{16} \\ \\ B=\sin^{-1} \left(\frac{14}{16} \right), 180^{\circ}-\sin^{-1} \left(\frac{14}{16} \right) \\ \\ B \approx 61.04^{\circ}, 118.96^{\circ}

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1 year ago
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