Answer:
3 feet
Step-by-step explanation:
Answer:
∠ABC = 46°
Step-by-step explanation:
DB and BC are of same length (radius), making it an isosceles triangle.
The base of the triangle is the same at 23°, a total of 46°.
180° - 46° = 134°
But we need ∠ABC, and since points DBA lie on the circumference, it's a straight line.
Therefore, 180° - 134° = 46°
I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:
-c^2-4c+21
From here, we’ll factor out a -1 so that we have:
-(c^2+4c-21)
Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:
(c + (-3))(c + 7)
(c - 3)(c + 7)
And adding back on the negative from a few steps earlier:
-(c - 3)(c + 7)
Answer:
Three equivalent ratios that are associated with this rate would be 6 gallons/1min, 360gallons/1 hour and 720 gallons/2hours.
I'm sorry but I can't explain or show how to use a double number line for this question.
Step-by-step explanation:
Option C
The ratio for the volumes of two similar cylinders is 8 : 27
<h3><u>
Solution:</u></h3>
Let there are two cylinder of heights "h" and "H"
Also radius to be "r" and "R"
Where π = 3.14 , r is the radius and h is the height
Now the ratio of their heights and radii is 2:3 .i.e
<em><u>Ratio for the volumes of two cylinders</u></em>
Cancelling the common terms, we get
Substituting we get,
Hence, the ratio of volume of two cylinders is 8 : 27
