Answer:
Total length of ribbon to line the long sides will be 22 in
Step-by-step explanation:
In the given figure of kite if we draw a line "h" vertically will form two right angle triangles.
Then by applying Pythagoras theorem in both the triangles.
h²= (3x + 5)² + (2x + 1)² ------(1)
h²= (5x + 1)² + 5² ------(2)
By equating both the equations
(3x + 5)² + (2x + 1)² = (5x + 1)² + 25
9x² + 25 + 30x + 4x² + 4x + 1 = 25x² + 10x + 1 + 25
13x² + 34x + 26 = 25x² + 10x + 26
13x² - 25x² + 34x - 10x + 26 - 26 = 0
- 12x² + 24x = 0
12x² - 24x = 0
x² - 2x = 0
x(x - 2) = 0
x = 2
Now we will put x = 2 in the measure of sides of the kite.
Side 1 = (3x + 5)
= 3×2 + 5
= 11
Side 2 = (5x + 1)
= 5×2 + 1
= 11
Side 3 = (2x + 1)
= 2×2 + 1
= 5
Therefore, Total length of ribbon to line the long sides will be = 11 + 11
= 22 in.
Y - 5 = 2( x - 1 ) <=>
y - 5 = 2x - 2 <=.
2x - y + 3 = 0.
Answer: x= 0 or x= 1
Step by step:
Step 1: Factor left side of equation.
= 8x (x – 1) = 0
Step 2: Set factors equal to 0.
= 8x = 0 , x = -1 = 0
= x = 0 , x = –1
Answer:
FIRST OPTION.
THIRD OPTION.
FIFTH OPTION.
Step-by-step explanation:
Let be "x" the number of of female volunteers and "y" the number of male volunteers.
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
In this case you know that the illusionist needs up to 10 volunteers, which indicates that the total number of volunteers can be less than or equal to 10 people. The inequality that represents this is:
According to the exercise, the illusionist needs no fewer than 4 female volunteers. This means that number of female volunteer must be greater than or equal to 4:
Since the number of female volunteers could be 10 (Because can be greater than 4), it could not be male volunteers. This means that:
