Ask question

Ask question

All categories

3 years ago

8

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &

lt; x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?

1 answer:

sergejj [24]3 years ago

6 0

66 is your answer if you need anything else ask someone

You might be interested in

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

3x + y=11 <br> -2x + y=1 <br> Solve using substitution method

nata0808 [166]

Answer:

3x+yl=11

-2x+y=11

y=11-3x

-2x+11-3x=11

-5x=11-11

so x=0

y=11-0

y=11

6 0

3 years ago

Read 2 more answers

Hailey plans to buy some items from the concession stand at the movie theater. The prices listed in the chart do not include tax

Triss [41]

Answer: C 17.55

Explanation:
Popcorn: $7.75
Soda: $5.15
Bag of Candy: $4.65

7.75 + 5.15 = 12.90 + 4.65 = 17.55

Hope this helps! :) (could you give me brainliest I need help ranking up loll)

6 0

3 years ago

-14x - 10x + 19x<br> please answer

Anit [1.1K]

the answer is -5x :) I'm pretty sure

8 0

2 years ago

Ju<br><img src="https://tex.z-dn.net/?f=40%20%2B%20800" id="TexFormula1" title="40 + 800" alt="40 + 800" align="absmiddle" class

dmitriy555 [2]

Your answer is 840!

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

8 0

2 years ago

Read 2 more answers