Answer:
1.625 hours
Step-by-step explanation:
The equation is
d = rt where d is distance r is rate and t is time
65 = 40 *t
Divide each side by 40
65/40 = t
1.625 hours = time
Area of the three equally sized stripes: A
A=(x+15)(x)(3)
A=3x(x+15)
A=3x^2+45x
One gallon of paint will cover an area of no more than 400 square feet: <=400
She only has half of a gallon of paint left:
1/2(400 square feet)=400/2=200 square feet
Inequality that could be used to find the maximum height, in feet, of each stripe:
A<=200
3x^2+45x<=200
Answer: 3x^2+45x <= 200
Could her stripes be 3' tall?
x=3→A=3(3)^2+45(3)=3(9)+135=27+135→A=162<200 Ok
Yes, her stripes could be 3' tall.
Answer: Yes
Could her stripes be 4' tall?
x=4→A=3(4)^2+45(4)=3(16)+180=48+180→A=228>200 No
No, her stripes couldn't be 4' tall.
Answer: No
Answer:
Domain is { x> -15}
Range is { y >5}
Step-by-step explanation:
The domain is the possible x values
x is greater than -15 (open circle)
Domain is { x ≥ -15}
The range is the possible y values
y is greater than 5 (open circle)
Range is { y >5}
Answer:
a) 150°
b) 30°
Step-by-step explanation:
It is easier to work the exterior angle first.
<h3>b)</h3>
The sum of exterior angles is 360°. The exterior angle at any vertex of a regular dodecagon will be 1/12 that:
360°/12 = 30° . . . the measure of one exterior angle
__
<h3>a)</h3>
The measure of an interior angle will be the supplement of the adjacent exterior angle.
180° -30° = 150° . . . the measure of one interior angle
