Answer:
Surface Area
Step-by-step explanation:
You are calculating the measurements for the surface of the prism. The interior is volume.
Answer:
Step-by-step explanation:
let x and y be length and width of rectangle.
Perimeter=2(x+y)
area=xy
2(x+y)=1/2 xy
4(x+y)=xy
4x+4y=xy
x y-4y=4 x
y(x-4)=4 x
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
Answer:
centimeters
Step-by-step explanation:
The numerator of the conversion factor always has the "to" units. The denominator has the "from" units. That way, when you multiply, the "from" units cancel:
(xx <em>from</em>) · (yy <em>to</em>)/(zz <em>from</em>) = xx·yy/zz · (<em>from/from</em>) · <em>to</em> = xx·yy/zz · <em>to</em>
Here, you want to convert to centimeters, so centimeters will be the units in the numerator.
10 in · (2.54 cm)/(1 in) = 25.4 cm
_____
The conversion factor is always "1". That is, the numerator and denominator are always <u>equal</u> in value. Here, 2.54 cm = 1 in, so (2.54 cm)/(1 in) = 1. You can multiply by 1 anytime you like. For units conversion, it only has the effect of changing the units.
The first four terms of the sequence are 3 , 6 , 12 , 24
Step-by-step explanation:
We need to find the first four terms of the sequence 
where 
to find them do that
- Substitute n by 2 in the rule to find
- Substitute n by 3 in the rule to find
- Substitute n by 4 in the rule to find
∵
- Substitute n by 2 to find the 2nd term
∴ 
∴ 
∵
∴ 
∴ 
- Substitute n by 3 to find the 3rd term
∴ 
∴ 
∵
∴ 
∴ 
- Substitute n by 4 to find the 4th term
∴ 
∴ 
∵
∴ 
∴ 
The first four terms of the sequence are 3 , 6 , 12 , 24
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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