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3 years ago

14

In a right triangle, if the length of one leg is 4 and the length of the hypotenuse is 8, what is the length of other leg, in si

mplest radical form

1 answer:

german3 years ago

5 0

Given the pythagorean theorem;
a^2 + b^2 = c^2...

The length of your last leg would be 6.928203230275509

Or "the square root of" 48.

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Help me plsssssssssssss

LUCKY_DIMON [66]

Answer:

The radius is 5 cm

Step-by-step explanation:

The formula for the area of a circle is : $\p*radius^2$

To work out the length of the radius you would first need to divide the area of 78.5 cm by pi (pi=3.14), this gives you $25cm^2\\$ . This is because by dividing the area by pi we are isolating the value of the radius squared.

The final step is to work out the radius. You can do this by finding the square root of the radius squared which is 25, this gives you 5 cm. This means that the radius is 5 cm. This is because the square root is a number that when squared equals that number.

1) Divide 78.5 by pi.

$78.5/\pi=25cm^2$

2) Find the square root of 25 cm squared.

$\sqrt{25} =5 cm$

In this question pi is 3.14

6 0

3 years ago

HELP When 2((Three-fifths x + 2 and three-fourths y minus one-fourth x minus 1 and one-half y + 3)) is simplified, what is the r

lesya692 [45]

Answer:

<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>

Step-by-step explanation:

Given the expression $2(\frac{3x}{5}+2\frac{3y}{4}-\frac{x}{4}-1 \frac{1}{2}y+3)$

To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;

$= 2(\frac{3x}{5}-\frac{x}{4}-1 \frac{1}{2}y+2\frac{3}{4}y+3)\\= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\$

Then we find the LCM of the resulting function

$= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\= 2(\frac{12x-5x}{20} - (\frac{6y-11y}{4})+3)\\= 2(\frac{7x}{20}- (\frac{-5y}{4})+3 )\\= 2(\frac{7x}{20}+ \frac{5y}{4}+3 )\\= \frac{7x}{10} + \frac{5y}{2} +6\\= \frac{7x}{10} + 2\frac{1}{2}y+6\\$

The final expression gives the required answer

7 0

2 years ago

Solve the system of equations.<br> y = 2x + 4<br> y = x2 + x - 2

miss Akunina [59]

Answer:

<u>x=6</u><u> y=16</u>

Step-by-step explanation:

I will use elimination

y=2x+4

y=2x+x-2

*3 y=2x+4 3y=6x+12

*2 y=3x-2 2y=6x-4

3y=6x+12

- 2y=6x. -4

<u>y=16</u>

16=2x+ 4

-4 -4

12= 2x

/2 /2

<u>6=x</u>

7 0

3 years ago

Winnie adds the smallest 30 positive even numbers. Grogg adds the largest 30 odd negative numbers. How much greater is Winnie's

MaRussiya [10]

Answer:

1830

Step-by-step explanation:

Sum of smallest 30 positive even numbers is given by

2 + 4 + 6 + 8 + ......... up to 30 terms

= 2 ( 1 + 2 + 3 + 4 + ....... + 30)

= $2 \times \frac{1}{2} \times (30) \times (30+1) = 930$

Again the sum of largest 30 odd negative numbers is given by

- 1 - 3 - 5 - 7 - ...... up to 30 terms.

= - (1 + 3 + 5 + 7 + ...... up to 30 terms)

{This is an A.P. series having first term 1, common difference 2 and the number of terms 30}

= $-\frac{30}{2} [2 \times 1 + (30-1) \times 2]$

= - 900

Now, Winnie has the sum 930 and Grogg has the sum - 900.

So, Winnie's sum is (930 + 900) = 1830 more than Grogg's sum. (Answer)

6 0

3 years ago

Which rational number also belongs to the set of natural numbers?

Sauron [17]

Answer: A) 15

A natural number is basically a counting number {1, 2, 3, 4, 5, ...} so any positive whole number. That is why 15 is the answer. Choices B and D are fractional values, so we can rule them out. We can rule out choice C because this value is negative.

8 0

3 years ago