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1 year ago

15

Two cubes with edge lengths of 3 centimeters and 2 centimeters are placed on top of each other is shown. What is the surface are

a of the resulting figure?

2 answers:

neonofarm [45]1 year ago

3 0

Answer:

I believe the answer is B

vredina [299]1 year ago

3 0

Answer:

70 cm2

Step-by-step explanation:

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Evaluate the following integral using trigonometric substitution.

wariber [46]

Answer:

Step-by-step explanation:

1. Given the integral function $\int\limits {\sqrt{a^{2} -x^{2} } } \, dx$ , using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as $asin \theta$ i.e $x = a sin\theta$ .

All integrals in the form $\int\limits {\sqrt{a^{2} -x^{2} } } \, dx$ are always evaluated using the substitute given where 'a' is any constant.

From the given integral, $\int\limits {7\sqrt{49-x^{2} } } \, dx = \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx$ where a = 7 in this case.

The substitute will therefore be $x = 7 sin\theta$

2.) Given $x = 7 sin\theta$

$\frac{dx}{d \theta} = 7cos \theta$

cross multiplying

$dx = 7cos\theta d\theta$

3.) Rewriting the given integral using the substiution will result into;

$\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)} } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)} } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)} }}} \, 7cos\theta d\theta\\$

$= \int\limits343 cos^{2} \theta \, d\theta$

8 0

3 years ago

A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean ___.

victus00 [196]

A set of 3 nonzero whole numbers say (a,b,c) that form the sides of a right triangle and follow the pythagorous theorem

$a^2+b^2=c^2\\$

are called a Pythagorean Triple

The example of Pythagorean Triplet are

(3,4,5), (5,12,13) ,(8,15,17), etc.

Hence

A set of 3 nonzero whole numbers that form the sides of a right triangle are called a Pythagorean Triple.

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2 years ago

Please give question for the answer.

fenix001 [56]

Answer:

$f(x)=\sqrt[3]{x} \\a=5$

Step-by-step explanation:

$f(x)=\sqrt[3]{x} \\a=5$

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2 years ago

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FinnZ [79.3K]

Answer:

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2 years ago

What is the median of this set of numbers?<br><br> 9.3 1.4 2.3 2.13 2.85 5.45 7.18 9.3 5.4

Anarel [89]

I think it's 5. 03? I haven't found the median of anything in a while, so it might be a little inaccurate.

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3 years ago

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