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3 years ago

14

Please help number 24

1 answer:

alexandr402 [8]3 years ago

5 0

Yes, i believe you can.

Requirements for 3 sides to become a triangle are:

a + b >c

a + c > b

b + c > a

So, you have 36 toothpaste with 4 cm in length for each of them. So about 144cm in length.

In order to make a similar triangle you just need to divide all sides with 4 and see if the total sides is less than 144

176 / 4 = 44

208 / 4 = 52

176/4 = 44

Total = 140 . . . . .you just need 35 toothpicks for this

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Which value of m satisfies the inequality 170-7m >99?

Shkiper50 [21]

Answer:

$\huge \purple{m < \frac{71}{7} } \\$

Step-by-step explanation:

$170 - 7m > 99$

<u>Move 170 to the right side of the inequality</u>

$- 7m > 99 - 170 \\ - 7m > - 71$

<u>Divide both sides by - 7</u>

$\frac{ - 7m}{ - 7} > \frac{ - 71}{ - 7} \\ m > \frac{71}{7}$

Flip the signs

We have the final answer as

$m < \frac{71}{7} \\$

Hope this helps you

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2 years ago

Replace ∗ with a monomial so that the derived equality will be an identity: (15y + ∗)2 = 225y2+12x3y+0.16x6

kobusy [5.1K]

Answer:

<u>∗ = 0.4x³</u>

Step-by-step explanation:

(15y + ∗)² = 225y²+12x³y+0.16x⁶

<u>Note:</u>

225y² = 15y * 15y = (15y)²

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So, by factoring the right hand side:

225y²+12x³y+0.16x⁶ = (15y + 0.4x³)²

By comparing the left hand side with (15y + 0.4x³)²

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3 years ago

Are the set of all square numbers under 50 and the set of all triangular numbers that are less than 50 disjoint?

Alina [70]

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No, the two sets are not disjoint.

Step-by-step explanation:

Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45

Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49

They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.

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