Answer:
law of cosines states c^2=a^2+b^2-2abc
b^2=26^2+24^2-2(26×24)cos 134°
b^2=676+576-1248cos134°
cos134= -0.6946
b^2=1252-12(-0.6946)
12×(-0.6946)= -8.3352
b^2=1252-(-8.3352)
b^2=1252+8.3352
b^2=1260.33
b=√1260.33
b=35.50
Answer:
D
Step-by-step explanation:
The basic equation to solve this would be D = RT, which is
D is Distance
R is Rate (speed)
T is time
To find total distance D, we can find individual distances for two legs of the whole.
First Leg:
R = 8
T = a
D = 8a
Second Leg:
R = 7.5
T = b
D = 7.5b
Total distance D is:
D = 8a + 7.5b
Moreover, we know student runs 45 minutes in total hence a + b = 45 or we can say a = 45 - b, so we can replace this in the equation found:
D = 8a + 7.5b
D = 8(45 - b) + 7.5b
Answer choice D is right.
If you would like to know how long will it take to drain the pool, you can calculate this using the following steps:
3 hours ... 250 gallons
x hours = ? ... 150 gallons (= 400 - 250)
3 * 150 = 250 * x
x = 3 * 150 / 250
x = 1.8 hours
3 hours + 1.8 hours = 4.8 hours
The correct result would be B. 4.8 hours.
We want to find a fraction that is between
There are several ways to go about this.
There are also infinitely many fractions that can be found between the given fractions.
Let us go for the one in the middle of the two fractions.
So we add the two fractions and divide by 2.
a) 
Find LCM for the numerator
Simplify:
b) 
c)
d)
Answer:
1 zero: Answer C
Step-by-step explanation:
Keep in mind that the polynomial value is zero at any root. Therefore each point that is a root must lie precisely on the x-axis (where y = 0). In the graph given there is only one such point (Answer C)
