Answer:
(a) 169.1 m
Step-by-step explanation:
The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...
169.1 m
__
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...
cos(6°) = x/(170 m)
x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m
The horizontal distance covered is about 169.1 meters.
_____
<em>Additional comment</em>
Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.
V=1/3(pi)(r)^2(h)
V=1/3(pi)(9)^2(15)
V=1/3(3.14)(81)(15)
Then multiply all numbers in parentheses:
3815.1/3=1271.7 cm^3
Hope this Helps!
Answer:
Solution given:
1:
-1/8=
2. -64/27
=
Express in rational number
1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4
2. (1/5)=1/5*5/5=<u>5/25</u>
and
(-4/3)³(2/5)-⁴ ÷ (7/4)
(-4³/3³)(2-⁴/5-⁴)÷7/4
(-64/27)(5⁴/2⁴)÷7/4
(-64/27)(625/16)÷7/4
(-64*625/(27*16))*4/7
-2500/27*4/7
-10000/169
(-100/13)²
C. 16.4
Step-by-step explanation:
The formula to apply here is;
A=P(1+r/n) ^nt where
A=final amount
P=starting amount
r=rate of interest annually
n=number of compounding per year
t=time in years
Given ; P=$500, A=$750 , r=2.5%=0.025 , t=?,n=1
Substitute values;
A=P(1+r/n)^nt
$750=$500(1+0.025)^t
750=500(1.025)^t
750/500=(1.025)^t
1.5=(1.025)^t
log 1.5 =t log (1.025)
log 1.5/log 1.025 = t
16.4 =t
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Compound interest formula :brainly.com/question/12148233
Keywords : bank account, interest per year, value of account, years
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