<h3>
Answer: 35 (choice C)</h3>
=============================================
Explanation:
For any triangle, the three interior angles always add to 180.
D+E+F = 180
(7b+1) + (2b+1) + (b+8) = 180
(7b+2b+b) + (1+1+8) = 180
10b+10 = 180
10b = 180-10
10b = 170
b = 170/10
b = 17
Use this value of b to find the three angle measures
- D = 7b+1 = 7*17+1 = 119+1 = 120
- E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
- F = b+8 = 17+8 = 25
As a check,
D+E+F = 120+35+25 = 120+60 = 180
which helps confirm the correct answers.
Answer:
a) The formula for the area of a circle
Step-by-step explanation:
The formula for the area of a circle is
A = πr²
π is an irrational number and, no matter what value you use for r, the area will be an irrational number,
b) is wrong. A = ½(a + b)h.
c) is wrong. A = ½bh.
d) is wrong. A = bh.
All measurements are rational numbers, so the areas will be rational numbers.
1) first find the ratio of gallons to minutes which is 150/6=25, so 25 gallons a minute.now divide 20,000 by 25=800 and that is the answer
2)so, we found the proportion 25:1 or 25 gallons a minute
3)we do the same thing we did for find, find the ratio per square feet 700/2=350, next we divide 1960 by 350. that should get you 5.6
Hope I helped! :)
Answer:
8 by 12 units
Step-by-step explanation:
Let w represent the width of the rectangle. Then the length is 1.5w. The perimeter is 4 more than 3 times this, so is (3(1.5w) +4) = 4.5w+4
The perimeter is given by the formula ...
P = 2(length + width)
Filling in the given values for the variables, we have ...
4.5w +4 = 2(w +1.5w)
4 = 0.5w . . . . . . subtract 4.5w and collect terms
8 = w . . . . . . . . . multiply by 2
length = 1.5×8 = 12
The rectangle is 8 units wide and 12 units long. The perimeter is 40 units.
Answer:
Sure, Help you with what?
Step-by-step explanation:
Let me know :)
Have an AWESOME Friday <3