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4 years ago

The reciprocal of 11

Mathematics

1 answer:

Furkat [3]4 years ago

3 0

Answer:

The reciprocal of 11 is 1/11.

Step-by-step explanation:

This is because 11 in fraction is 11/1, and reciprocal means flipping the numerator into denominator, and flipping the denominator into the numerator. So the reciprocal of 11 is 1/11

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Use FOIL!!!!!! plz help!!!

saul85 [17]

The last one is the answer.

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4 years ago

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Given 6, 8, and 11 as the three sides of a triangle, classify it as one of the following acute, right or obtuse. Please help and

sp2606 [1]

9514 1404 393

Answer:

obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

5 0

3 years ago

1. Which are true of x = log10 31,500? Select all that apply.

ziro4ka [17]

Given:

$x=\log_{10}31,500$

To find:

Select the true statements from the given options about the given value.

Solution:

We have,

$x=\log_{10}31,500$

It can be written as

$x=\log_{10}(2^23^25^37)$

$x=\log_{10}(2^2)+\log_{10}(3^2)+\log_{10}(5^3)+\log_{10}(7)$ $[\because \log(ab)=\log a+\log b]$

$x=2\log_{10}2+2\log_{10}3+3\log_{10}5+\log_{10}(7)$

$x=2\left(0.30105\right)+2\left(0.47712\right)+3\left(0.69897\right)+0.8451$

$x=4.49835$

Clearly, the value of x lies between 4 and 5. So, $x>4$ and $x$ .

Therefore, the correct options are C and D.

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3 years ago

Henry takes 1 hour to drive to work and 1 hour to drive home. if he works 5 days a week, how many hours does he spend driving to

alisha [4.7K]

Answer:

Step-by-step explanation:

Time taken to drive to work = 1 hr

Time taken to drive home = 1 hr

Time taken to drive from home to work and back home again ( IN ONE DAY)

=1 + 1 = 2hrs

So time taken for driving to and from work for 5 days = 2hrs × 5 days = 10 hrs .

6 0

3 years ago

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Amelie's bird cage is shaped like a rectangular prism. The cage has a height of 26 inches and a volume of 7,280 cubic inches. Am

jasenka [17]

The area of the news paper which fits in the bottom of the Amile's cage is 280 square inches because The area is said to be the product of the two sides ( length an breadth ) of the rectangle.
The volume is said to be the product of the length, breadth and height of the cage.
Here the height and volume are given in the square inches.
volume = L* B *H = 7280 Square inches whereas height is 26 inches.
AREA = L* B = by bringing the height in divide with volume we can obtain the L* B value which is said to be the value of the height .

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3 years ago