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noname [10]
3 years ago
12

Write 45 as a product of prime factors.

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0
<span>First, we determine the factors of 45. We can immediately note that 45 is the product of 9 and 5. Out of 9 and 5, 9 can further be expressed into the product of 3 and 3. The prime factorization therefore is,
            45 = 3 x 3 x 5
 Since the factors in the right-hand side of the equation are already prime numbers then, this factorization can no longer be written in simpler forms.</span>
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The coordinates of the vertices of ANGLE RST are R(-3,5), and S(4,5), and T(4,-2). Find the side lengths to the nearest hundredt
e-lub [12.9K]


Side lengths: RS=7 and ST=7, and angle=90 degrees

Why?

Since second coordinates of R and S are the same so we can just count the length by adding first coordinate of R and first coordinate of S= |-3|+4=7

Since first coordinates of R is the same as first coordinate of T so we can just count  the length  by adding second coordinates of S and T=5+|-2|=7

Angle: RST is =90 degrees because triangle RST is right angled  triangle. Why? Because RS is parallel to X axis(the same second coordinates of R and S) and ST is parallel to Y axis(the same coordinates of S and T) .


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3 years ago
Correct answer gets brainliest or who ever answered first
timurjin [86]

Answer:

B

Step-by-step explanation:

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3 years ago
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tresset_1 [31]

Answer:

30 ft

Step-by-step explanation:

We can use ratios

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3 years ago
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Test picture below Amos if you'll just help me the hell out kamronice​
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Answer:

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Step-by-step explanation:

I think (if not then 1/3)

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8 0
3 years ago
A small business earns a profit of $6500 in January and $17,500 in May. What is the rate of change in profit for this time perio
MAXImum [283]

Rate of change of profit for this period is $2750 per month

<em><u>Solution:</u></em>

Given that,

Profit of $6500 in January and $17,500 in May

<em><u>To find: Rate of change</u></em>

Since,

January is the first month of the year (1) while May is the fifth month (5)

<em><u>Therefore, we get two points</u></em>

(1, 6500) and (5, 17500)

Using these points we can find the rate of change in profit for this time period

<em><u>The rate of change using the following formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

Here from the points,

(x_1, y_1) = (1, 6500)\\\\(x_2, y_2) = (5, 17500)

<em><u>Therefore, rate of change is given as:</u></em>

m = \frac{17500-6500}{5-1}\\\\m = \frac{11000}{4}\\\\m = 2750

Thus rate of change of profit for this period = $2750 per month

8 0
3 years ago
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