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3 years ago

Do toy have a triangle with a 3 angles:60 degrees, 60 degrees, 63 degrees

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

8 0

Answer:

no.

Step-by-step explanation:

a triangle can only have 180° in total but

60+60+63

=183°

Therefore a triangle can not have these three angles together.

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DESPERATE FOR HELP!!!<br> MATHS!!!<br> WILL AWARD BRAINLIEST!!!

LUCKY_DIMON [66]

Answer:

By the looks of it the answer is A

5 0

2 years ago

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

Which relation is a function?

NARA [144]

Answer:

A function means that we get one input and one output. In this example that means for every x-value that we have, we only have one y-value.

Looking at the first option, we can see that there is no x-value that has more than one y-value which means that it is a function.

The rest of the options are seen with at least two values for one x-value in one of the points. Therefore, they wouldn't be considered a function leaving us with only option A as the solution.

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1 year ago

flora went trick or treating and got a total of 95 candies. She had 21 more hard candies than chocolates and twice as many gummy

Troyanec [42]

I believe she has 42 hard candies. I'm not too sure.

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3 years ago

A company sells boxes that are 2 3/8 feet high, 3 5/8 feet long and 1 7/8 feet wide. John has a storage room that is 8 feet wide

pychu [463]

<span>The maximum number of boxes that may be stacked on top of one another is 5 boxes. Note that the questions asks how many boxes can be stacked ON TOP of one another, not how many can fit in the storage room. Further, the boxes cannot be manipulated to change their height. Thus, to find the answer we only need 2 of the measurements given: the height of the boxes and the height of the storage unit. The height of the box is 2 3/8 feet, which can be written as 2.375 feet. The height of the storage unit is 12 feet. Simply dividing the height of the storage unit by the height of the boxes give us: 12/2.375=5.052631... Thus the maximum number of number of boxes that can be stacked is 5.</span>

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3 years ago