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ValentinkaMS [17]
3 years ago
15

Solve the equation: -9h - 6 +12h + 40 =22

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

h = -4

Hope this helps! :)

~Zane


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Alborosie

what language is this??

6 0
3 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
What is 14.9 round to?
Wittaler [7]
14.9 is rounded to 15 or if you are going by tens then it is 20
3 0
3 years ago
Read 2 more answers
The German Club is planning a ski trip. The club will pay $500 toward the trip, and each member going on the trip will pay $115.
miv72 [106K]
115x + 500 = 2685

115x = 2185

x = 19

19 club members
3 0
3 years ago
Please help me solve this!!
Mice21 [21]

Answer:

Abelito had the greater average speed

Step-by-step explanation:

Given

Bobby:

Distance =4\ miles

Time = 30\ minutes

Abelito

Distance = 10\ miles

Time = 48\ minutes

Required:

Who had a greater average speed

Average speed (S) is calculated as:

S = \frac{Distance}{Time}

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

S_B = \frac{4\ miles}{30\ minutes}

Convert minute to hour

S_B = \frac{4\ miles}{0.5\ hr}

S_B = 8mph

For Abelito

S_A = \frac{10\ miles}{48\ minutes}

Convert minute to hour

S_A = \frac{10\ miles}{0.8\ hr}

S_A = 12.5mph

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed

5 0
3 years ago
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