Let's create expressions and equations to model this situation. Let Anthony's age be a.
"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18
How old is Jim?
Let's solve the above equation for a to first find Anthony's age.
3a - a = 18
2a = 18
a = 9
Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.
3a
3(9)
27
Answer:
Jim is 27 years old.
Answer:
(-2,1)
Step-by-step explanation:
We want the points where the function is greater than zero
Looking at the function it is between the x intercepts
The x intercepts ares -2 and 1
-2 <x<1 is when y >0
We want interval notation
(-2,1)
1) calculate the volume of the tri prism 2) find area of the base face 3) find the height 4) multiply area of the triangle base time height 5) answer will be in cubic units
Answer:
cos (105°) = - 2.6
csc (105°) = 1.03
Step-by-step explanation:
Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}
Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}
Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.
And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)
Answer:
Step 3. 4 ÷ 2
Step 4. 2
these two steps are wrong
Note : See the explanation and get the answer
