<span>Using the information we have
3x+4=40
Do the same to each side of the equation to eliminate for x.
3x+4=40 Minus 4 from each side
3x=40-4
3x=36
Divide 3 from each side
x=36/3
x=12
AC=3x+4
insert the value of x
3(12)+4=40
AC=40
AD=20</span>
Answer:
0.00658 = 6.58 * 10^-3
Step-by-step explanation:
The standard form is a way of writing numbers easily in powers of 10.
To write a number in standard form, we have to move the decimal point to the front of the first non zero number.
Depending on the position of the decimal point to the first non zero number, movement can be towards the right or towards the left. When we move towards the right, our power of 10 will be negative, when we move in the left direction, our power of 10 will be positive
In this question, we shall be moving towards the right. Thus, our power of 10 is negative. We shall be moving towards the right 3 three times
Thus our power would be 10^-3
Thus our standard form will be 6.58 * 10^-3
Kindly note that another pointer is, if the value of our number to be written in standard form is less than zero, then the standard form will come in negative powers of 10. If the value of the number is greater or equal to 1 at least, then then the standard form will be in positive powers of 10
The perimeter of the original rectangle is:
P = 2w + 2l = 70
The area of the original rectangle is:
A = w * l = 250
Then, by modifying the length of its sides we have:
Perimeter:
P '= 2 (2w) +2 (2l)
Rewriting:
P '= 2 (2w + 2l)
P '= 2P
P '= 2 (70)
P '= 140
Area:
A '= (2w) * (2l)
Rewriting:
A '= (2) * (2) (w) * (l)
A '= 4 * w * l
A '= 4 * A
A '= 4 * 250
A '= 1000
Answer:
the new area and the new perimeter are:
P '= 140
A '= 1000
s(t) = 65+24sin(0.3t)
where t is measured in hours since 5:00
a.m
3-hour period from 7:00 a.m. to 10:00 am
5 am to 7 am = 2 hours
5 am to 10 am = 5 hours
To find the number of tons we take integral of 2 to 5 of s(t)
∫ 2 to 5 s(t) = ∫ 2 to 5 (65+24sin(0.3t))
∫65+24sin(0.3t) dt = 65t - 80 cos(0.3t) + c
Now we plug in the bounds 2 and 5
∫ 2 to 5 (65+24sin(0.3t)) = 255.36787 = 255.268
255.268 tons of sand are added to the beach over the 3-hour period
Answer: The answer is the first one, angle JLK
Step-by-step explanation:
