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hodyreva [135]
2 years ago
11

Find the product of (5a^3b) (2ab)

Mathematics
1 answer:
erastova [34]2 years ago
8 0

Answer:

10a^4b^2

Step-by-step explanation:

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A submarine travels 6.6 km due West from its base and then turns and travels due South for 3.9
geniusboy [140]

Answer:

7.7 km

Step-by-step explanation:

The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of 6.6 km and 3.9 km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle, a^{2}+b^{2} =c^{2}, where a and b are the lengths of the triangle's legs and c is the length of the triangle's hypotenuse. In this case, we know what a and b are, and we need to solve for c, so after substituting the given values of a and b into a^{2}+b^{2} =c^{2} to solve for c, we get:

a^{2}+b^{2} =c^{2}

6.6^{2} +3.9^{2} =c^{2} (Substitute a=6.6 and b=3.9 into the equation)

43.56+15.21=c^{2} (Evaluate the squares on the LHS)

58.77=c^{2} (Simplify the LHS)

c^{2}=58.77 (Symmetric Property of Equality)

\sqrt{c^{2} } =\sqrt{58.77} (Take the square root of both sides of the equation)

c=7.7,c=-7.7 (Simplify)

c=-7.7 is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately 7.7 km away from its base. Hope this helps!

7 0
3 years ago
Three consecutive integers have a sum of –21. Which equation can be used to find the value of the three numbers?
Ksju [112]

Answer:

The third one, x+(x+1)+(x+2)=-21 because x, x+1 and x+2 are three consecutive numbers.

6 0
3 years ago
Read 2 more answers
The average number of newspapers for sale in an airport stand is 15. SD is 6. The average age of the pilots is 36 and SD is 4. W
balu736 [363]

Answer:

The average age of pilots has a lower coefficient of variation, so it is the most consistent data set.

Step-by-step explanation:

The coefficient of variation is used to measure consistency of a data set. It is the standard deviation divided by the mean. The higher the coefficient of variation, the more variable, that is, the least consistent the data set is.

The average number of newspapers for sale in an airport stand is 15. SD is 6.

The consistency is:

C = \frac{6}{15} = 0.4

The average age of the pilots is 36 and SD is 4.

The consistency is:

C = \frac{4}{36} = 0.11

The average age of pilots has a lower coefficient of variation, so it is the most consistent data set.

4 0
3 years ago
Jake earned 30 points out of a total of 43 on his most recent math test. on his social studies test, jake scored 85 out of a pos
djverab [1.8K]

Answer: See explanation

Step-by-step explanation:

Your question isn't really clear but let me help.

For Maths test,

Point earned = 30

Total point = 43

Percentage = 30/43 × 100 = 69.77%

Social studies test

Point earned = 85.

Total point = 124

Percentage = 85/124 × 100 = 68.55%

From the above, we can see that Jake scored a higher percentage in the Maths test.

3 0
3 years ago
FREE BRAINLIEST & 50 points bc im nice <3
Ostrovityanka [42]
YAY HAHA!!! YAY YAY YAY
6 0
2 years ago
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