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2 years ago

In which quadrant does θ lie if the following statements are true: cos⁡θ>0 and sin⁡θ>0

Mathematics

1 answer:

Papessa [141]2 years ago

6 0

Answer:

First quadrant

Step-by-step explanation:

cosθ > 0 in first/ fourth quadrants

sinθ > 0 in the first/ second quadrants

sinθ and cosθ are both > 0 in the first quadrant

Then θ lies in the first quadrant

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A machine puts out 100 watts of power for every 1000 watts put into it. The efficiency of the machine is

kogti [31]

Answer:

10%

Step-by-step explanation:

Machine out put power =100 watt

Machine input power=1000 watt

We have to find the efficiency of the machine.

We know that

Efficiency of machine= $\frac{O.p}{I.p}$

Where O.p=Output power

I.p=Input power

By using the formula

Efficiency of machine= $\frac{100}{1000}=0.1$

Efficiency of machine (in percent) $0.1\times 100=$ 10%

Hence, the efficiency of machine=10%

7 0

3 years ago

Jefferson Elementary has a rectangular playground. A scale drawing of the playground is shown below.

True [87]

I'm sorry if I get this wrong, but there isn't enough evidence.

If we think about the shorter side being 4.2 cm, then just divide 33.6 by 4.2 to give it a ratio. 33.6 / 4.2 is 8. The ratio of the scale drawing to the actual playground would be 1 : 8.

The longer side is 10.5, so just multiply that by 8. You'd get 84 meters. The only part left is getting the area.

Multiply 84 x 33.6 and you'd get 2822.4

The answer would be 2,822.4 squared.

4 0

2 years ago

44 times 79 equals what

IrinaK [193]

Answer:

3476

Step-by-step explanation:

40x70=2800

40x9=+

360

________

3160

4x70=280

4x9=36

3160+316=3476

7 0

2 years ago

Calculate the sum of the infinite series

andriy [413]

ANSWER

$S_ \infty = \frac{40}{3}$

EXPLANATION

The given series is

$20-10+5-...$

The first term of the series is,

$a_1=20$

The common ratio of this series is,

$r = \frac{ - 10}{20}$

This simplifies to,

$r = - \frac{1}{2}$

The sum to infinity of this sequence is given by the formula,

$S_ \infty = \frac{a_1}{1-r}$

We substitute the above values into the formula to obtain,

$S_ \infty = \frac{20}{1- - \frac{1}{2} }$

This simplifies to,

$S_ \infty = \frac{20}{1 + \frac{1}{2} }$

We simplify the denominator to get,

$S_ \infty = \frac{20}{ \frac{3}{2} }$

This will finally give us,

$S_ \infty =20 \times \frac{2}{3}$

$S_ \infty = \frac{40}{3}$

The correct answer is A.

5 0

3 years ago

Read 2 more answers

Can someone please help??<br> Picture is below

lana [24]

Answer: 24

Step-by-step explanation:

all you have to do is 8x4=24. :) ur welcome

7 0

2 years ago

Read 2 more answers