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kozerog [31]
2 years ago
15

Select the two pairs of figures that are similar

Mathematics
1 answer:
Scrat [10]2 years ago
8 0
It is 3 and 2 good luck
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Find two positive numbers whose difference is 30 and whose product is 2584.
kvasek [131]

Answer:

38 and 68.

Step-by-step explanation:

Let x be the smaller one of the two number.

x must be a positive integer. The other number would be (x + 30).

The question states that the product of the two numbers is 2584. In other words:

x\, (x + 30) = 2584.

Rearrange this equation and solve for x:

x^{2} + 30\, x - 2584 = 0.

The first root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}.

Similarly, the second root of this quadratic equation would be:

\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}.

Since the question requires that both numbers should be positive, x > 0. Therefore, only x = 38 is valid.

Hence, the two numbers would be 38 and (38 + 30), which is 68.

6 0
3 years ago
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TRUE OR FALSE MATH PLZ HELP:
Sveta_85 [38]

Answer:

question 2 is true

question 3 is false

Step-by-step explanation:

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3 years ago
From a club of 24 people, in how many ways can a group of four members be selected to attend a conference?
Kamila [148]

Answer:

255,024

Step-by-step explanation:

24 x 23 x 22 x 21

24 options for the first member

23 options for the second member

22 options for the third member

21 options for the last member

6 0
3 years ago
For a particular pickup truck the percent markup is known to be 115% based on cost to the seller. If the seller paid $15,800 for
nexus9112 [7]

Answer:

115%(15,800)= $18,170. <--- markup price

$15,800+$18,170= $33,970 total price

That is 115% x $15,800 = $18,170 markup price

Then add the original price to the markup price

That is $15,800 + $18,170 = $33,970

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3 years ago
MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!
gladu [14]

Answer:

Bottom prism: 126*11=1386    

Top Prism: 2*45=90

Total volume: 1386+90= 1746 cubic cm

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3 years ago
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