Answer:
1. 1.3778 2. 0.0089
Step-by-step explanation:
to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.
so 1x0.83x1.66= 1.3778
you can always convert the fraction into decimal to help you calculate the problem.
i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.
it is 5 by 10 so there are 150 cubes in total.
1.3378 divided by 150=0.0089
im confident about the 1st but not so much with the second
Given that Kyle has received 900$ in cash as a gift and Kyle wants to invest that money in CD with 4% compound interest which is being compounded annually.
That means interest rate = 4% = 
in decimals.
Since interest is compounded annually, we have to use compound interest formula.
That is amount after time t is 
Where P- initial amount = 900
r= rate of interest in decimals = 0.04
n= number of times interest is compounded per year = 1
t= number of years the money is invested = 5
Hence A = 
= $1094.9876
So, at the end of five year period, Kyle will have 1094.9876$ to put down in his car.
Answer:
N(11 , 13)
Step-by-step explanation:
M(3,4) = (x,y)
A(-5, -5) = (x1,y1)
N ( )=(x2,y2)
using midpoint formula;
M(x,y)=(x1 + x2)/2 , (y1 + y2)/2
(3,4)= (-5 + x2)/2 , (-5 + y2)/2
Now;
3 = (-5+x2)/2 4 = (-5 +y2)/2
6 = -5 +x2 8 = -5 +y2
6+5 = x2 8+5=y2
x2=11 y2 = 13
Answer :- Yes the two triangles are similar because there are two pairs of congruent corresponding angles.
Explanation:-
In Δ ABC
∠A=30° , ∠C=65 °
By angle sum property of triangle
∠A + ∠B + ∠C= 180°
⇒∠B= 180°-∠A-∠C=180°-30°-65°=85°
⇒∠B=85°
Now in ΔABC and ΔDEF
∠A=∠D=30° and ∠B=∠E=85°
⇒ there are two pairs of congruent corresponding angles.
So by AA-similarity criteria
ΔABC ≈ ΔDEF
