Answer:
The first and second choice since those symbols are the ones that apply to open circle on the number line and the 2 last ones are closed circles
Step-by-step explanation:
Answer:
the correct one is c, which is the second option
Step-by-step explanation:
The exterior angle of a polygon is 360.
And for a rectangle, they have equal exterior angles.
So a rectangle has 4 sides
So each exterior angle=360/4
Then each is 90°
Then the correct c which has 90°
Answer:
2.60 hours
Step-by-step explanation:
A hose fills a hot tub at a rate of ,
2.09 gallons ⇒ 1 minute
Now we have to find the time which takes to fill a 327 gallon hot tub.
For that, let the unknown time be x.
So,
2.09 gallons ⇒ 1 minute
327 gallon ⇒ x
Use cross multiplication to find the value of x.
2.09 x = 327 × 1
2.09x = 327
x = 327 ÷ 2.09
x = 156.45 min
Therefore, it takes 156.45 minutes.
But the question is asked for hours.
So,
Let us solve now.
156.45 ÷ 60 = 2.60 hours
Let me know if you have any other questions :-)
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
Answer:
Step-by-step explanation:
The circumference of a circle can be found using the following formula:
where d is the diameter. We are given the radius, so let's find the diameter.
The diameter is twice the radius.
The radius is 15 feet.
Multiply.
Now we know the diameter. Substitute 30 feet in for d.
We are using 3.14 for pi, so substitute it in.
Multiply.
The circumference of the circle is 94.2 feet.
