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3 years ago

How to do this question by proving the identity?

Mathematics

1 answer:

jeyben [28]3 years ago

6 0

$\sin^3 \theta-\cos^3 \theta=(\sin \theta-\cos \theta)(\sin \theta\cos \theta+1)\\\\
(\sin \theta-\cos \theta)(\sin^2 \theta+\sin \theta\cos \theta +\cos^2 \theta)=(\sin \theta-\cos \theta)(\sin \theta\cos \theta+1)\\\\
(\sin \theta-\cos \theta)(\sin \theta\cos \theta+1)=(\sin \theta-\cos \theta)(\sin \theta\cos \theta+1)\\\\$

You might be interested in

- Trapezoid

zhenek [66]

- Trapezoid

The measures of three angles of a quadrilateral are 70, 125, and 89 degrees. Find the measure of the fourth one.

》The measure of the fourth one is 36°.

4 0

3 years ago

Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is

BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0

2 years ago

An urn contains nine red and one blue balls. A second urn contains one red and five blue balls. One ball is removed from each ur

il63 [147K]

Answer:

0.362

Step-by-step explanation:

When drawing randomly from the 1st and 2nd urn, 4 case scenarios may happen:

- Red ball is drawn from the 1st urn with a probability of 9/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this case to happen is (9/10)*(1/6) = 9/60 = 3/20 or 0.15. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 5 blue)/(8 red + 1 blue + 5 blue) = 6/14 = 3/7.

- Red ball is drawn from the 1st urn with a probability of 9/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (9/10)*(5/6) = 45/60 = 3/4 or 0.75. The probability that a ball drawn randomly from the third urn is blue given this scenario is (1 blue + 4 blue)/(8 red + 1 blue + 1 red + 4 blue) = 5/14

- Blue ball is drawn from the 1st urn with a probability of 1/10, blue ball is drawn from the 2nd urn with a probability of 5/6. The probability of this event to happen is (1/10)*(5/6) = 5/60 = 1/12. The probability that a ball drawn randomly from the third urn is blue given this scenario is (4 blue)/(9 red + 1 red + 4 blue) = 4/14 = 2/7

- Blue ball is drawn from the 1st urn with a probability of 1/10, red ball is drawn from the 2st urn with a probability of 1/6. The probability of this event to happen is (1/10)*(1/6) = 1/60. The probability that a ball drawn randomly from the third urn is blue given this scenario is (5 blue)/(9 red + 5 blue) = 5/14.

Overall, the total probability that a ball drawn randomly from the third urn is blue is the sum of product of each scenario to happen with their respective given probability

P = 0.15(3/7) + 0.75(5/14) + (1/12)*(2/7) + (1/60)*(5/14) = 0.362

8 0

2 years ago

The value of the digit in the hundreds placed in the number 653841 is 1/10 the value of the digit in the thousand place in which

kondor19780726 [428]

The complete question in the attached figure

we have that
the value of the digit in the hundreds place in the number 653,841 is---> 800

case A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok

case B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800

case C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800

case D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800

the answer is
the option A) 748,917

6 0

3 years ago

What comes 10,000 before and 10,000 after this number 52,812?

astraxan [27]

42,812 and 62,812! You just add and subtract 10,000 from 52,812 and you will get the answer! Hope this helps!

8 0

2 years ago