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2 years ago

Sin10°-cos10° product and evaluate

Mathematics

2 answers:

Elena-2011 [213]2 years ago

8 0

$\\ \sf\longmapsto sin10°-cos10°$

$\\ \sf\longmapsto sin(90-10°)-cos10°$

sin(90-A)=cosA

$\\ \sf\longmapsto cos10-cos10$

$\\ \sf\longmapsto 0$

Montano1993 [528]2 years ago

6 0

Question should be sin 20 cos 10 + cos 20 sin 10

remember sin (a+b) = sin a cos b + cos a sin b ?

sin 20 cos 10 + cos 20 sin 10

= sin (20+10)

= sin 30

= 1/2

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A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan

Talja [164]

Answer:

Total discount = $39.50

or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes. She is getting 30 percent off the 65 dollars.

Discount = price * percent off

= 65*.3

= 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

= 45.50

To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

= 39.50

To find the total percent discount, we use the formula

total percent discount = (original - final)/original * 100

= (85- 45.50)/85 * 100

= 39.5/85*100

= 46.47%

4 0

3 years ago

279÷24=? Write your answer as a whole number and remainder.

Anika [276]

Answer:

the answer is 11.625 so it is 12

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Each class at Greenville school has 22 children enrolled.the school has 24 classes how many children are enrolled at Greenville

Afina-wow [57]

Answer:

528

Step-by-step explanation:

because each class has 22 students and there are 24 classes you multiply them

5 0

3 years ago

Read 2 more answers

The mean one-way commute to work in Chowchilla is 7 minutes. The standard deviation is 2.4 minutes, and the population is normal

adell [148]

Answer:

The answer is below

Step-by-step explanation:

Given that:

The mean (μ) one-way commute to work in Chowchilla is 7 minutes. The standard deviation (σ) is 2.4 minutes.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}$

a) For x < 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

From normal distribution table, P(x < 2) = P(z < -2.08) = 0.0188 = 1.88%

b) For x = 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

For x = 11:

$z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67$

From normal distribution table, P(2 < x < 11) = P(-2.08 < z < 1.67 ) = P(z < 1.67) - P(z < -2.08) = 0.9525 - 0.0188 = 0.9337

c) For x = 11:

$z=\frac{x-\mu}{\sigma}=\frac{11-7}{2.4} =1.67$

From normal distribution table, P(x < 11) = P(z < 1.67) = 0.9525

d) For x = 2:

$z=\frac{x-\mu}{\sigma}=\frac{2-7}{2.4} =-2.08$

For x = 5:

$z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83$

From normal distribution table, P(2 < x < 5) = P(-2.08 < z < -0.83 ) = P(z < -0.83) - P(z < -2.08) = 0.2033- 0.0188 = 0.1845

e) For x = 5:

$z=\frac{x-\mu}{\sigma}=\frac{5-7}{2.4} =-0.83$

From normal distribution table, P(x < 5) = P(z < -0.83) = 0.2033

8 0

3 years ago

What is the common point between lines y = ½ x + 4 and y = x – 4?

nirvana33 [79]

1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X

(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12

point: (16,12)

7 0

2 years ago

Sin10°-cos10° product and evaluate​

Sin10°-cos10° product and evaluate