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2 years ago

7

If 3/4y=6-1/3c then what is the value of 2c+9/2y

1 answer:

rosijanka [135]2 years ago

4 0

Answer:

36

Step-by-step explanation:

3/4y=6-1/3c

3/4y+1/3c=6

multiplied 6 into equation to get 2c

9/2y+2c=36

so 2c+9/2y=36

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Use the following image to assist in your answer.<br> a =<br> - 6<br> - 9<br> - 4

vfiekz [6]

Step-by-step explanation:

Pythagoras' theorem for the smallest one :

$c^2 = 4^2 + 6^2$

$c^2 = 16 + 36$

$c^{2}$ = 52

Pythagoras' theorem for the middle one :

$b^{2}$ = $6^{2}$ + $a^{2}$

Pythagoras' theorem for the biggest one :

$(4+a)^2 = c^2 + b^2$

$16 + 8a + a^2 = 52 + b^2$

Using the formula before (for $b^2$ ) it becomes :

$16 + 8a + a^2 = 52 + (6^2 + a^2)$

$16 + 8a + a^2 = 52 + 6^2 + a^2$

$16 + 8a = 52 + 6^2$

16 + 8a = 52 + 36

16+8a = 88

8a = 88-16

8a = 72

$a = \frac{72}{8}$

a = 9

Verifying :

$b^2 = 6^2 + a^2$

$b^2 = 36 + 81$

$b^2 = 117$

$b^{2}$ = 117

The biggest one :

$(4+a)^2 = c^2 + b^2$

$(4+9)^2 = 52 + 117$

$13^2 = 169$

True

8 0

2 years ago

The radius of a semicircle is 4 miles. What is the semicircle's area?

adell [148]

Answer:

8 $\pi$ miles or 25.133 miles

Step-by-step explanation:

your radius is 4 miles.

The area of a circle is A= $\pi r^{2}$

Therefore, the area of this circle is $4^{2} \pi$ , or 16 $\pi$

Half of this area, because what you're looking for is a semi-circle, is:

8 $\pi$ (exact) or 25.133 (rounded) miles.

6 0

2 years ago

What two numbers multiply to 40 and add to -6

Darya [45]

Answer: Nothing multiplies to 40 and adds to -6, it is impossible

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2 years ago

What is 1/3 of 18500.00

choli [55]

$\frac{1}{3}\ of\ 18500.00\\\\ = \frac{1}{3}*18500.00\\\\ =\frac{1}{3}*18500.00\\\\ =6166.67$

5 0

3 years ago

30 POINTS Alex runs 2/3 of a mile each day how many days does he need to run before he has to run a whole number of miles

kolezko [41]

Two days and he would’ve ran 1 and 1/3

6 0

3 years ago