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BlackZzzverrR [31]
3 years ago
15

Find the product 1/2x3/4.

Mathematics
1 answer:
Sauron [17]3 years ago
7 0

Answer:

The product is 3/8

Step-by-step explanation:

When you multiply two fractions, first multiply the numbers on the top (numerators).

1 * 3 = 3

Then multiply the bottom numbers (denominators).

2 * 4 = 8

Now stick the first over the second.

3/8

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What is the radius of a circle whose equation is X^2 plus Y^2 -10X +6 X +18=0?
frosja888 [35]

ANSWER

The radius is 4

EXPLANATION

The given equation is:

{x}^{2}  +  {y}^{2}  - 10y + 6x + 18 = 0

We complete the square to get the expression in standard form:

{x}^{2}  + 6x +  {y}^{2}  - 10y  + 18 = 0

{x}^{2}  + 6x +  9 + {y}^{2}  - 10y  + 25  =  - 18 + 9 + 25

We factor using perfect squares to get:

{(x + 3)}^{2}  +  {(y - 5)}^{2} =  16

This implies that,

{(x + 3)}^{2}  +  {(y - 5)}^{2} =   {4}^{2}

Comparing to

{(x  - h)}^{2}  +  {(y - k)}^{2} =   {r}^{2}

The radius is r=4

3 0
3 years ago
Using proportional reasoning, about how many of 180 seventh grade students in school would like to snorkel
amm1812

Answer:

We need some aditional data. For example, the average number of students who like to snorkel in certain population.

Step-by-step explanation:

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5
DanielleElmas [232]

Answer:

1

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that csc(x)=1/sin(x) and sec(x)=1/cos(x).

Thus:

\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}

=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }

Let's do the first part first: (Recall how to divide fractions)

\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}

For the second term:

\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}

So, all together: (same denominator; combine terms)

\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}

Note the numerator; it can be derived from the Pythagorean Identity:

sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)

Thus, we can substitute the numerator:

\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1

Everything simplifies to 1.

7 0
3 years ago
You and your friend are sharing 3/8 of a bag of candy how much of the bag will each of you get share it evenly. Is it going to b
olga_2 [115]

Answer:

You and your friend both get 3/16 of the bag.

Step-by-step explanation:

3/8 divided by 2 friends

3/8 / 2 = 3/16

6 0
2 years ago
What is the reciprocal of 8 8/5 ?
Ksenya-84 [330]

Answer:

\frac{5}{48}

Step-by-step explanation:

The reciprocal of a number n is \frac{1}{n}

Given 8 \frac{8}{5}, change to an improper fraction

= \frac{5(8)+8}{5} = \frac{48}{5}, thus

reciprocal = \frac{1}{\frac{48}{5} } = \frac{5}{48}

3 0
3 years ago
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