Answer:
84 + x*1 = 8x
Step-by-step explanation:
Xavier needs to sell 12 painting to break even.
Answer:
Step-by-step explanation:
A)
the sum of any two sides of a right triangle more than any other side
14+15>29, x is less than 29
14+x>15
x>1
15+x>14
x>-1
1<x<29
lets use Pythagorean Theorem
14^(2)+15^(2)=c^2
196+225=c^2
421=c^2
plusminus sqrt(421)=c
distance can't be negative, so:
c=sqrt(421)
c=20.5182845287
sqrt(421) is the largest possible right triangle side
1<x
sqrt(421)
B) as we can see from above, the largest possible length of the third side is 14/sqrt(421) or about 20.5182845287ft
C)sqrt(421) by 14 by 15
tan(x1)=15/14
x1=tan^-1(15/14)
x1=47 degrees
tan(x2)=14/15
x2=tan^-1(14/15)
x2=43 degrees
Answer:
The answer to the nearest hundredth is 0.07 liters per minute
Step-by-step explanation:
In this question, we are told to express the given metric in liters per minute.
The key to answering this question, is to
have the given measurements in the metric in which we want to have the answer.
Hence, we do this by converting milliliters to liters and seconds to minute.
Let’s start with milliliters;
Mathematically;
1000 milliliters = 1 liters
10 milliliters = x liters
x * 1000 = 10 * 1
x = 10/1000
x = 1/100
x = 0.01 liters
For the seconds;
We need to convert the seconds to minutes;
Mathematically;
60 seconds = 1 minute
8.5 seconds = y minutes
60 * y = 8.5 * 1
y = 8.5/60
y = 0.14167 minutes
Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;
Hence, we have ;
0.01/0.14167 = 0.070588235294
Which to the nearest hundredth is 0.07
Answer:
∠DEF = 250°
Step-by-step explanation:
1. This shape is a hexagon (6 sides), so the interior angles should all add to 720°. Also worth noting: the problem says the <em>obtuse</em> angle DEF; this means it's the angle INSIDE the shape, not outside.
2. Add all the known angles, then subtract from the total degrees:
50 + 96 + 144 + 42 = 332
720 - 332 = 338
3. Because BC is parallel to ED, we can subtract 180 - 42 for the value of ∠EDC, which is 138°.
4. Add all the known values and subtract from 720 for the value of ∠DEF:
50 + 96 + 144 + 42 + 138 = 470
720 - 470 = 250°
-2/5x -2= 18
-2/5x=18+2
Divide -2/5 with both sides
x= -50
