Answer: Exactly square root 58 inches
Step-by-step explanation: The dimensions given for the right angled triangle are 7 inches and 3 inches respectively. The third side is yet unknown. However what we know is that a right angled triangle can be solved by using the Pythagoras theorem which states that,
AC^2 = AB^2 + BC^2
Where AC is the longest side. The question requires us to calculate the longest side and with the other two sides already known, the Pythagoras theorem now becomes,
AC^2 = 7^2 + 3^2
AC^2 = 49 + 9
AC^2 = 58
Add the square root sign to both sides of the equation
AC = square root 58 inches
Answer:

Step-by-step explanation:
The initial number of mosquitoes is 400000, and they double each day. This represents an exponential growth equation. If t represent days and P represent the population of the mosquitoes, hence this can be represented by the equation:

Also, the predators eat the mosquitoes at a rate of 40,000 mosquitoes/day. This means that each day, the mosquitoes reduce by 40000t, therefore this can be represented by:

Answer:
Step-by-step explanation:
y
=
m
x
+
b
y
=
3
/4
x
−
8
Rewrite in slope-intercept form.
y
=
3
/4
x
−
8
Using the slope-intercept form, the slope is 3
/4
.
m
=3
/4
Answer:
i think its 105
Step-by-step explanation:
If k is a constant of proportionality then we know from last week that
512= k ·32 so k=512/32=16;
This week
448= k · amount he saved
448=16· amount he saved
amount saved=448/16=28
Answer $28