Answer:
Step-by-step explanation:
the hypothenuse is the largest side in the right triangle
we have 2 side, 7,8
in a right triangle, c^2= a^2+b^2
where c is the hypothenuse
c^2=49+64=113
c=sqrt113=aprox 10.6
so, the answer is no if it has to be exactly 10 ft the hypotenuse
X=number of months
how much is deducted total=number of months times amount deducted per m onth
amount deducted per month=45
number of months=x
how much deducted total=45x
460-deducted total is more than 100
460-45x>100
solve for x
add 45x to both sides
460>100+45x
subtract 100
360>45x
divide both sides by 45
8>x
answer is 7 months
if he does 8 months, then he will have exatly 100 and 100 is noe more than 100
answer is 7 months
P(B) = 0.75.
For independent events, P(A and B) = P(A)*P(B). This gives us
1/8 = 1/6(x)
Divide both sides by 1/6:
1/8 ÷ 1/6 = x
1/8 × 6/1 = x
6/8 = x
3/4 = x
0.75 = x
Answer:
2cm of Rainfall
Step-by-step explanation:
When the no. of mosquitoes is the highest the slope of graph will be zero
so if we differentiate this function and equate to zero we can find the rainfall amount that gives maximum number of mosquitoes in centimetres.
m(x)= -x²+4x
differentiate
d(x)/d(m(x))= -2x+4
equate to zero
-2x+4=0
2x=4
x=2
answer: 2 cm of rain
The equation is given as

<h3>The Amplitude </h3>
The Amplitude can be calculated as

<h3>The Vertical Shift</h3>
The vertical shift is the average difference between the maximum and minimum.

For b value
The Time Period will be twice the distance between max and min.

<h3>The Period</h3>
The period is calculated as

The equation is given as

Learn more on time period and amplitude here;
brainly.com/question/15531840