Answer:
144 in^2
Step-by-step explanation:
There are four triangular sides to this square pyramid. According to the area-of-a-triangle formula, A = (1/2)(b)(h), which here is A = (1/2)(8 in)(5 in) = 20 in^2.
Thus, the total lateral (side) area is 4(20 in^2) = 80 in^2.
The area of the bottom is (8 in)^2, or 64 in^2.
Thus, the total surface area is 80 in^2 + 64 in^2, or 144 in^2.
The simplified expression is 6+3i
Answer:
$2,400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 10000 × 0.06 × 4 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 6% per year
for 4 years is $ 2,400.00.
Answer:
Step-by-step explanation:
Use <u> law of cosine</u> to calculate the other side.
c² = a² + b² -2ab Cos C
Here, c is the length of the side which is opposite side to ∠E
a = 29 ; b = 25 and C = 109
c² = 29² + 25² - 2*29*25*Cos 107
= 841 + 625 - 1450* (-0.2923)
= 1466 + 423.835
= 1889.835
c =√1889.835
c = 43.47 ≈ 43
No, find ∠D using again use <u>law of cosine</u>
<u></u>
β = ∠C = 34°
α = 180 - (34 +107)
α = ∠D = 39
Other angles are
∠C = 34° and ∠D°39