When the smaller of two consecutive integers is added to three times the larger the result is 31. find the integer

Mathematics

1 answer:

wariber [46]3 years ago

6 0

8 and 10 are the integers

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ethan made a rectangular prism that has a volume of 16 cubic inches. What is one set of possible dimensions for ethans rectangul

lions [1.4K]

Answer:

0.5 inches by 0.5 inches by 64 inches

Step-by-step explanation:

Any three positive dimensions that have a product of 16 will be a set of possible dimensions. There are an infinite number of them. One such is listed above.

(If you have a list of answer choices, you can multiply them out to see which have a product of 16. We cannot guess what your choices might be.)

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3 years ago

What are the steps to divide 336/7

Kitty [74]

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5 0

3 years ago

Please help! 30 points!

Rashid [163]

Answer: $64.2^{\circ}$

Step-by-step explanation:

According to the cosine rule

$\cos C=\dfrac{a^2+b^2-c^2}{2ab}$

Here, $a=83, b=111, c=165,\ C=180^{\circ}-\theta$

Putting values

$\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}$