For get the length of apothem write sin60 = a/4 so sqrt3 /2 = a/4 so a = 4sqrt3 /2
a = 2sqrt3
so area of base = 6(4*2sqrt3)/2 = 6*4sqrt3 = 24sqrt3 unit squared
the lateral area = 4*4*6/2 = 4*2*6 = 48 unit squared
total area = 24sqrt3 +48 = 24(sqrt3 +2) unit squared
hope this will help you
The angle of elevation that the instruments have to record to be at the correct height is given as 79°
<h3>How to solve for the angle of elevation</h3>
We have 2x + 70 = 180
We have to find the value of x
2x = 110
x = 55
y/sin x = 225/sin70
This is the use of sine rule
From here we would have
y = 225(sinx/sin70)
Remember x = 55
y = 225(sin55/sin70)
y = 196.1378
tanθ = 1000/y
tan θ = 1000/196.1378
tanθ = 5.098
θ = tan⁻¹5.098
= 78.90°
Hence the conclusion is that the angle of elevation has to be 78.9 degrees for it to be at the correct height.
Read more on the angle of elevation here:
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Answer:a) $5.64 b) 21 ounces of tea leaves
Step-by-step explanation:
Step 1
5 ounces of tea leaves can be bought with $2.35
1 ounce of tea can be bought with =$2.35/5 =$0.47
12 ounces at the same rate can be bought with
=12 x $0.47 = $5.64
b) 5 ounces of tea leaves can be bought with $2.35
? Ounces of tea leaves can be bought with $10
$2.35 =5 ounces of tea
$10 = ? ounces of tea
= (10 x 5)/2.35
=50/2.35
=21.27 rrounded to 21 ounces of tea leaves
Answer:
Step-by-step explanation:
The function that represents the amount of caffeine, in milligrams, remaining in a body after drinking two mountain dew sodas is given by f(t) = 110(0.8855)^t, where t is time in hours.
Answer:
$72,999.17
Step-by-step explanation:
60000*1.04^5=72999.17414