Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
1. 3y=27
2. x-4=3
3. p+8=17
4. 1/2q=14
Answer:
See explanation
Step-by-step explanation:
y = k * (3x - 5)
Where,
k = constant of proportionality
y = 33 when x = 5
y = k * (3x - 5)
33 = k * (3 * 5 - 5)
33 = k * (15 - 5)
33 = 15k - 5k
33 = 10k
k = 33/10
k = 3.3
a) y when x = 2
y = k * (3x - 5)
y = 3.3(3 * 2 - 5)
= 3.3(6 - 5)
= 3.3(1)
y = 3.3
b) x when y = 15
y = k * (3x - 5)
15 = 3.3(3x - 5)
15 = 9.9x - 16.5
15 + 16.5 = 9.9x
31.5 = 9.9x
x = 31.5/9.9
x = 3.18
I would try and help but I think it's missing the picture
Answer:
pythagorean theorem is a^2+B^2=c^2
plug in (3)^2+(4)^2=(5)^2
9+16=25
