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scoray [572]
3 years ago
6

Can anyone solve and explain please?

Mathematics
1 answer:
Leokris [45]3 years ago
8 0
First take the inside diameter and divide by 2 to get the radius (4cm)
Then use \pir^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
Now multiply the height by the area of the base to get the volume/ capacity!
40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters
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Simplify the trigonomic expression 1/1+ sin
Softa [21]

Answer:

\sec^2\theta-\tan\theta\sec\theta

Step-by-step explanation:

We have to simplify the trigonometric expression \frac{1}{1+\sin\theta}

Let us multiply the numerator and denominator by 1-\sin\theta

\frac{1}{1+\sin\theta}\times\frac{1-\sin\theta}{1-\sin\theta}

In the denominator apply the formula for difference of squares

a^2-b^2=(a+b)(a-b)

Thus, the denominator will become

(1+\sin\theta)(1-\sin\theta)=1-\sin^2\theta

Thus, the expression is

\frac{1-\sin\theta}{1-\sin^2\theta}

Using the relation 1-\sin^2\theta=\cos^2\theta

\frac{1-\sin\theta}{\cos^2\theta}

We can rewrite this expression as

\frac{1}{\cos^2\theta}-\frac{\sin\theta}{\cos^2\theta}

Finally, the simplified expression is

\sec^2\theta-\tan\theta\sec\theta

6 0
3 years ago
Read 2 more answers
(Car Sales) Of the cars sold during the month of July, 88 had air conditioning, 96 had automatic transmission, and 76 had power
Shalnov [3]

Answer:

Option E.

Step-by-step explanation:

Given information:

Air conditioning = 88

Automatic transmission = 96

power steering = 76

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Place these values and draw a venn diagram as shown below.

Calculation for missing values:

11-4=7

96-61-4-7=24

88-24-4-23=37

From the given diagram it is clear that the number of cars that had air conditioning and automatic transmission but not power steering is 24.

Therefore, the correct option is E.

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3 years ago
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a rectangle has an area of 1/6 squar centimeters and a length of 1.5 centimeters what is the width and the perimeter
Alex73 [517]
<span>

(1/6)/ 1.5 = 
(1/6)/(15/10)=
1/6*10/15=10/90=1/9 width</span>
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3 years ago
A tree broke 6 feet from the bottom. If the top landed 12 feet from the base, how tall was the tree before it broke?
spayn [35]

Answer:

7.4 ft

Step-by-step explanation:

7 0
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