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yanalaym [24]
3 years ago
11

Write the ratio as a fraction in simplest form. 51:9

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

Answer:

The ratio of 51:9 in it's simplest form is 17:3.

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shasha worked in the garden for 3 hours and 40 minutes. she started at 8:30am. at what time did she stop?
eimsori [14]

Answer:

Sasha stopped working at 12:10 PM

Step-by-step Explanation

8:30 + 3 hours and 40 minutes = 12:10 PM

Mark as brainliest if it's right!

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The measure of angle O is 7pi/4. The measure of its reference angle is _degree, and tan O is _?
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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.

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131ft^2

Step-by-step explanation:

I find area by basically taking the figure and making it into two figures and  solving the area for the two then adding them up.

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pentagon [3]

I believe your answer should be C > -5/4

7 0
2 years ago
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