Answer:
See below.
Step-by-step explanation:
Lets take √72:
Factoring 72 to find perfect squares:
72 = 2*2*2*3*3
The largest perfect square in the above = 2*2*3*3 = 36.
So we can write 72 as 36*2.
√72 = √(36 * 2)
√36 * √2
= 6√2.
One more example:
√18 = √(2*3*3)
= √9*√2
= 3√2.
Quickly using a calculator (or long division) reveals that 191/238=<span>0.8025=80.25%, which is close to 80%=4/5
Similarly, 106/160=0.6625=66.25%, which is close to 66.67%=2/3</span>
Answer/Step-by-step explanation:
Recall: SOHCAHTOA
1. Reference angle = 70°
Adjacent side = x
Hypotenuse = 6 cm
Apply CAH. Thus,
Cos 70 = adj/hyp
Cos 70 = x/6
6 × cos 70 = x
2.05 = x
x = 2.05 cm
2. Reference angle = 45°
Adjacent side = x
Hypotenuse = 1.3 m
Applying CAH, we would have the following ratio:
Cos 45 = adj/hyp
Cos 45 = x/1.3
1.3 × cos 45 = x
0.92 = x
x = 0.92 m
3. The who diagram is not shown well. Some parts are missing, however you can still solve the problem just the same way we solved problem 1 and 2.
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $470
r = 6% = 6/100 = 0.06
n = 1 because it was compounded once in a year.
Therefore, the equation used to determine the value of his bond after t years is
A = 470(1 + 0.06/1)^1 × t
A = 470(1.06)^t
Reduce all of the mutiple choices
A. 4/3 . It is greater than 3/4. 4/3 as a decimal is 1.333. 3/4= 0.75
B. 12/12. 12/12=1. 1 is greater than 3/4
C. 9/16. Cannot reduce the fraction.
D. 12/16 divide by 4 for the numerator and denominator. 12/4=3 , 16/4= 4
Answer: D. 12/16
