A. Not a proper counterexample as 3 and 5 aren't the same number. We can rule out choice A.
B. We can rule out choice B since we're not multiplying here
C. We are multiplying the same value with itself but the result is even. We can rule this out.
D. This is a proper counter example. We have the same number (5) multiplied by itself leading to a result that is not even. It contradicts the initial claim.
Answer: Choice D
Answer:
One solution.
Step-by-step explanation:
To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A it is equal to side b divided by the sine of angle B, and also equal to side c divided by the sine of angle C</em>".
Using the law of sines we have:


Solving for B, we have:

∠B = 29.4°
Therefore, the measure of the third angle is: ∠C = 37.6°
There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.
Therefore, there is one triangle that satisfies the conditions.
Answer:
answer is 12
Step-by-step explanation:
because 5×4=20
so u have to multiply 4 and three
3×4=12
and u can reduce it to
6/10 and reduce it again to
3/5
Answer:
3.67 hours
Step-by-step explanation:
Speed is the ratio of distance to time, it is given by the formula:
Speed = Distance / time
For annike her average speed was 11 miles per hour and she started at 7 am.
At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:
11 miles/hr = distance / 1 hr
Distance = 11 miles per hr × 1 hr = 11 miles
After 8 am, the distance traveled at time t is:
11 = distance/t
distance = 11t
Total distance = 11t + 11
For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:
14 = distance/t
Distance = 14t
Given that both bikers traveled the same distance, hence:
14t = 11t + 11
3t = 11
t = 11/3
t = 3.67 hours
we are given
f(x)=[x=1]
where bracket means ceiling functions
we know that
Ceiling function returns the least value of the integer that is greater than or equal to the specified number
so, we can check each options
option-A:

At x=-4:
f(x)=[-4-1] =-5
For x<-3:
Let's assume
x=-3.1
f(x)=[-3.1-1] =[-4.1]=-5
so, this interval is TRUE
option-B:

At x=-2:
f(x)=[-2-1] =-3
For x<-1:
Let's assume
x=-1.1
f(x)=[-1.1-1] =[-2.1]=-3
so, this is FALSE