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2 years ago

What is the quotient of -2/15÷ 1/4

Mathematics

1 answer:

Aliun [14]2 years ago

3 0

Answer: -8/15

Step-by-step explanation:

-(2/15)/(1/4)

-[(2/15)/(1/4)]*(4/4)

= (-2/15)*(4/1)

= -8/15

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Answer:B

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2 years ago

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Simplify the problem: Sin theta Sec Theta

kherson [118]

Answer:

$\tan \theta$

Step-by-step explanation:

We have to simplify the following expression as given by

$\sin \theta \times \sec \theta$

= $\frac{\sin \theta}{\cos \theta}$

= $\tan \theta$ ( Answer )

Because, we know that $\sec \theta =\frac{1}{\cos \theta}$ and $\tan \theta = \frac{\sin \theta}{\cos \theta}$

If we consider $\sin \theta = \frac{Perpendicular}{Hypotenuse}$ and $\sec \theta = \frac{Hypotenuse}{Base}$ ,

then $\sin \theta \times \sec \theta = \frac{Perpendicular}{Hypotenuse}\times \frac{Hypotenuse}{Base} = \frac{Perpendicular}{Base}= \tan \theta$

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2 years ago

How do you do this question?

ohaa [14]

Step-by-step explanation:

The marginal totals are the sum of each row and column.

For example, the total number of sophomores is 120 + 302 = 422.

See picture of table with marginal totals filled in.

3 0

3 years ago

Pocahontas opens a savings account with $640 dollars that earns 3.9% interest per year not compounded. How much money to the nea

solmaris [256]

Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

$I=P\times r\times t$

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

$I=640\times 0.039\times 8$

$I=199.68$

So, the interest is $199.68.

Now, amount after 8 years is

$A=P+I$

where, P is principal and I is interest.

$A=640+199.68$

$A=839.68$

Therefore, the amount after 8 years is $839.68.

8 0

2 years ago

Tammy figured her math exam would be difficult unless she put in at

Ludmilka [50]

Answer: No, she did not study for at least 15 hours.

=======================================================

Explanation:

Fractions are often a pain, so I find it easier to convert to decimal form whenever possible.

1/2 = 0.5

3/4 = 0.75

which lead to,

2 & 1/2 = 2 + 1/2 = 2 + 0.5 = 2.5

4 & 3/4 = 4 + 3/4 = 4 + 0.75 = 4.75

4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

-----------------------------

We can then rephrase the problem like so:

"She studied 2.5 hours on Monday, 3 hours on Tuesday, 4.75 hours on Wednesday, and 4.5 hours on Thursday"

Add up those decimal values to get:

2.5 + 3 + 4.75 + 4.5 = 14.75

In total, Tammy studied for 14.75 hours, which is equivalent to 14 & 3/4 hours.

This result is smaller than 15, so she did <u>not</u> study for at least 15 hours.

Note: "at least 15" is the same as saying "15 or more".

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2 years ago