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2 years ago

Find the indefinite integral using the substitution x = 10 sin(θ). (Use C for the constant of integration.) 1 (100 − x2)3/2 dx

Mathematics

1 answer:

soldi70 [24.7K]2 years ago

3 0

Answer:

The indefinite integral

= $\frac{1}{100}$ ˣ $\frac{x}{\sqrt{100-x^{2} } }$ ⁺ C

Step-by-step explanation:

x= 10sinθ

dx = 10cosθdθ

the step-to-step explanation is in the attachment

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Moesha needs $79 for a class trip. She already has $22 and she can earn the rest by babysitting for 8 hours. If h represents her

elena55 [62]

Answer:

79-22=8h

Step-by-step explanation:

She can earn the rest by babysitting for only 8 hours,

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Given congruent triangles name the corresponding sides and corresponding angles

Alborosie

Answer:

See explanation

Step-by-step explanation:

Given $\triangle ABC\cong \triangle ADC$

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3 years ago

If a car dealership buy as car for $9000, and wants to make a 45% profit, how much do they need to sell the car for?

Degger [83]

Answer:

A car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys a car for $9000.

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Car cost = $9000

Profit percentage = 45% profit

Thus,

Profit amount = 45% of 9000

= 45/100 × 9000

= 0.45 × 9000

= $4050

In order to determine how much a car dealership needs to sell the car to earn the 45% profit, all we need is to add the profit amount i.e. $4050, and the car cost i.e. $9000.

i.e.

Car cost + Profit amount = $9000 + $4050

= $13050

Therefore, a car dealership needs $13050 to sell the car to earn the 45% profit if a car dealership buys s car for $9000.

6 0

2 years ago

Ajay bought a fan and a heater for rs 4000. He sold the fan at a profit of a 25% and the heater at a loss of 5%. If he gained 7%

Alborosie

Answer: Heater -Rs 2400; Fan- Rs 1600

Step-by-step explanation:

Given

Ajay bought a fan and a heater for Rs 4000

Suppose the price of fan is x and that of heater is 4000-x

Profit on the fan is $0.25x$

Loss on heater is $0.05\times (4000-x)$

Total profit is 7% i.e. $0.07\times 4000$

$\therefore 0.07\times 4000=0.25x-0.05(4000-x)\\\Rightarrow 280=0.25x-200+0.05x\\\Rightarrow 480=0.3x\\\Rightarrow x=1600$

Thus, the price of heater is $4000-1600=Rs.\ 2400$

Price of fan is $Rs.\ 1600$

Price of heater is $Rs.\ 2400$

8 0

2 years ago