Answer:
n = - 4
Step-by-step explanation:
note that 625 = 
, then
= 
= 
Since the bases on both sides are equal, both 5 then equate the exponents
n = - 4
Answer: Area of square PQRS is 81cm^2 and of ABCD is 25cm^2
You know its a square. Which means all the sides are equal and same length. If you dont know what's a square then here is the definition:
Square is a plane figure with four equal sides and four right (90°) angles.
So now we know both of are squares, in case of the first square, PQRS, one side length is already given which is PQ=9cm. Now one side is 9cm which means all the sides are 9cm's (PQ=9cm, QR=9cm, RS=9cm,SP=9cm). So to find area just multiply them:
9cm * 9cm = 81cm^2
Now you found the area of the first square. So for the second square, ABCD, one side length is 5 cm so all the rest three sides are also 5 cm. Again, multiply them in order to find the area:
5cm * 5cm = 25cm^2
So square PQRS is 81cm^2 to that of square ABCD is 25cm^2
CAUTIONS: IT IS NOT THAT HARD YA KNOW
By the way, hope it helps! ^^
Not sure question is complete, assumptions however
Answer and explanation:
Given the above, the function of the population of the ants can be modelled thus:
P(x)= 1600x
Where x is the number of weeks and assuming exponential growth 1600 is constant for each week
Assuming average number of ants in week 1,2,3 and 4 are given by 1545,1520,1620 and 1630 respectively, then we would round these numbers to the nearest tenth to get 1500, 1500, 1600 and 1600 respectively. In this case the function above wouldn't apply, as growth values vary for each week and would have to be added without using the function.
On one hand, the function above could be used as an estimate given that 1600 is the average growth of the ants per week hence a reasonable estimate of total ants in x weeks can be made using the function.
Answer:
∠VXW = 57°
∠XVW = 56°
Step-by-step explanation:
Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.
Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.
Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°
Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.
Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;
67° + 57° = 124°
180° - 124° = 56°
And that is your answer!
∠VXW = 57°
∠XVW = 56°
