Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
Answer:
The true solution is x=4/9
EXPLANATION
The logarithmic equation given to us is
We need to use the quotient rule of logarithms.
When we apply this law the expression becomes
We now take the antilogarithm of both sides to get
We square both sides to get,
We evaluate to obtain,
This simplifies to
We divide both sides by 36 to get
We simplify to get,
Answer and Explanation:
Five one-step equations with the answer of 0:
1. x - 8 = -8
2. x - 4 = -4
3. x / 2 = 0
4. x - 3 = -3
5. 5 * x = 0
Five one-step equations with the answer of -5:
1. y + 2 = -3
2. y - 3 = -8
3. y + 10 = 5
4. y * (-2) = 10
5. y / 1 = -5
Five one-step equations with the answer of 4:
1. 4 * z = 16
2. 8 - z = 4
3. 7 + z = 11
4. z / 2 = 2
5. z + 11 = 7
Hope these help!
Answer:
C
Step-by-step explanation:
So first, you find the area of a rectangle, which would be 15 * 30 = 450. Next, find the area of the semicircle by doing (you have to divide by 2 because it's only have a circle).
The radius is half of 15, so 15 / 2 = 7.5. This would be:
The last step is to add 450 + 88.3125 = about 538.3 m^2
Answer:
x=$10
y=$12
Step-by-step explanation:
Step one:
given
let senior tickets be x
and child be y
8x+9y=188----1
also on the second day
x+5y=70-------2
the system of equation is
8x+9y=188-----1
x+5y=70---------2
x=70-5y, put this in 1
8(70-5y)+9y=188
560-40y+9y=188
-31y=-372
divide by -31
y=-372/-31
y=$12
put y= 12 in x+5y=70---------2
x+5(12)=70---------2
x+60=70
x=$10