How do you solve this rational equation
4/3(c+4) + 1 = 2c/c+4

Answers

Answer 1

Answer: 4/3(c+4) + 1 = 2c/c+4 , where c is not -4 <=>
4 / [3(c + 4)] + 3( c + 4) /[ 3( c + 4)] = 6c / [3( c + 4)] <=>
4 + 3c + 12 = 6c <=>
16 = 3c <=>
c = 16 / 3.

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How do you solve? Show your work. -14 - 6x = x + 7
a snail moves at a speed of 2.394 inches per minute . If the snail keeps moving at this rate, about how many inches will it travel in 7.489
What value of x will make this proportion true 3/29 =× /116?

0.77,0.077
7.7,0.7
to GREATEST
least

Answers

7.7, 0.77, 0.7, 0.077

Suppose theta= 11pi/12. How do you use the sum identity to find the exact value of sin theta?

Answers

The better way is, first we have to find the equivalent in degrees

$2\pi=360\º$

$(11\pi)/(12)=345\º$

now we can change this value to $-15\º$

how do we get an angle like this?!

$30\º-45\º=-15\º$

then

$sin(30\º-45\º)=sin(30\º)*cos(45\º)-sin(45\º)*cos(30\º)$

$\begin{Bmatrix}sin(30\º)&=&(1)/(2)\n\nsin(45\º)&=&cos(45\º)&=&(√(2))/(2)}\end{matrix}\n\ncos(30\º)&=&(√(3))/(2)\end{matrix}$

now we replace this values

$sin(-15\º)=(1)/(2)*(√(2))/(2)-(√(2))/(2)*(√(3))/(2)$

$sin(-15\º)=(√(2))/(4)-(√(6))/(4)$

$\boxed{\boxed{sin(-15\º)=sin(345\º)=(√(2)-√(6))/(4)}}$

Which of the following could not be the lengths of the sides of a right triangle?A. 9ft, 12 ft, 15ft

B. 5in, 10in, 15in

C. 4cm, 7.5, 8.5cm

D. 1.5m, 2m, 2.5

Answers

B. 5in, 10in, 15in is the answer

Friend the missing side of each triangle

Answers

√5
Because the triangle is a right triangle, we are able to use the Pythagorean Theorem to find the final side. Keep in mind that we have the hypotenuse and a leg, so we don't need to solve for the hypotenuse, c.

a² + b² = c² Pythagorean Theorem
√10² + b² = √15² Substitute
10 + b² = 15 Exponents
b² = 5 Subtract 10 from both sides
b = √5

The missing side is √5.

Hope this helps!

right trianlge

a^2+b^2=c^2
wher a and b are legs and c=hypotnouse
(hypotonuse is side oposite right angle)

c=√15
one leg is √10, call it a
find x
(√10)^2+b^2=(√15)^2
10+x^2=15
minus 15 both sidees
x^2=5
sqrt both sides
x=√5

x=√5cm

What is the median of the data set?

{16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15}

Answers

The median is the numeric value separating the higher half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle. For the data set 16, 15, 17, 19, 12, 11, 14, 14, 13, 11, 18, 15 the median is 14.5. It is the mean of 14 and 15 or, (14+15)/2 = 14.5.

What is the fraction 18/24 reduced to the lowest terms