Start by defining variables (things you don't know). Let's make:
t = number of true/false questions
m = number of multiple choice questions
Equation #1
total questions on the test (given to be 20) is then:
t + m = 20
Equation #2
Multiply the number of questions by the points it's worth to get the total points
3t + 11m = 100
Now, you can use substitution to combine the two equations.
t + m = 20
by subtracting m from both sides, equation 1# becomes..
t = 20 - m
substitute t for 20 - m in the second equation.
3(20 - m) + 11m = 100
Solve for m.
3(20 - m) + 11m = 100
60 - 3m + 11m = 100
8m = 100 - 60
8m = 40
m = 5
There are 5 multiple choice questions on the test.
Now use this to find t.
t + m = 20
t + 5 = 20
t = 20 - 5
t = 15
there are 15 true/false questions on the test.
+2x-15=0
+2x=0+15
2x=15
X=15/2
X=15/2 or 7,5
Answer:
<h2>50.8°</h2>
Step-by-step explanation:
First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.
2√15² = 2√6² + b²
60 = 24 + b²
Subtract 24
36 = b²
b = 6
Now, that we have all three sides, we will use the law of cosines to figure out the angle.
c² = a² + b² - 2abCosC°
Substitute the values in.
6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°
36 = 60 + 24 - 2(37.947331922)CosC°
36 = 60 + 24 - 75.894663844CosC°
36 = 84 - 75.894663844CosC°
Subtract 84
-48 = -75.9CosC°
0.63241106719 = CosC°
Arccos (0.63241106719) = 50.77176844°
The largest acute angle is approximately 50.8°
Answer:
Option A
Step-by-step explanation:
A hunter travels to his cabinet located at 2 Miles North and 8 Miles West.
Let "d" be the distance traveled before reaching the rocky ground at point say "P". Let the cabin be at "C"
The distance between C and P is given by

Let "t" be the time taken to travel distance CP.

Minimum time will be when "t" is equal to zero
Differentiating the above equation wrt "d", we get -

On squaring both the sides , we get -

"d" cannot be greater than 8 miles.
Hence, the value of "d" is equal to 
Option A
Answer:
I think it is D I'm not sure
Step-by-step explanation:
If two angle and one ️ are congruent to two angles of a second ️ and also if the included sides are congruent, then the ️ are congruent. If in ️ PRQ and TUV, angle P=angle T, angle R=angle and PR=TU, then triangles PRQ is congruent to triangle TUV