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VikaD [51]
4 years ago
10

Find the following for the given pyramid: Slant height, lateral area, surface area, and volume. Please show all work!

Mathematics
1 answer:
jolli1 [7]4 years ago
5 0
You have:
 1)The slant height is:
 Slant height=√[(8 inches)²+(8 inches)²]
 Slant height=10 inches
 2)The lateral area is:
 LA=(Perimeter)(Slant height)/2
 LA=(6 inches)(4)(10 inches)/2
 LA=120 inches²
 3)The Surface area is:
 SA=Base area+(PerimeterxSlant height/2)
 SA=(6 inches)²+(24 inchesx10 inches/2)
 SA=156 inches²
 4)The volume is:
 V=(6 inches)²(8 inches/3)
 V=96 inches³
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If you have an email that is stressing you out and you sleep on it before emailing it, you have shown which character trait?
natulia [17]
Answer:

Self-control

Why:

Most people would feel pressured to respond to an email, you are showing self-control by resisting the urge.
3 0
3 years ago
Find the missing side. Round to the nearest tenth
Ghella [55]

Answer:

x = 12.5

Step-by-step explanation:

From the diagram,

Applying

tanФ  = Opposite/Adjacent...................... Equation 1

From the diagram,

Given: Opposite = 16, Adjacent = x, Ф = 52°

Substitute these values into equation 1

tan52° = 16/x

make x the subject of the equation

x = 16/tan52°

x = 16/1.27994

x = 12.5.

6 0
3 years ago
Shelly states that the triangles below are similar. Which proportion supports her statement?
OLga [1]

Answer:

\frac{NO}{ST} = \frac{NM}{SR} = \frac{OM}{RT}

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The total rainfall in forks , washington, october was 8 3/8 in. in september ,60% less rainfall fell in October
iren2701 [21]
Rainfall in October in Forks, Washington = 8 3/8 inches
                                                                 = 67/8 inches
Percentage of rainfall that has fallen less in September in Forks, Washington = 60%
Let us assume the amount of rainfall in September in Forks, Washington = x
Then
100x/60 = 67/8
10x/6 = 67/8
5x/3 = 67/8
5x * 8 = 67 * 3
40x = 201
x = 201/40
   = 5 1/40 inches
So the amount of rainfall in September in Washinton is 5 1/40 inches.

6 0
3 years ago
Frank stands 450 feet from the base of the Statue of Liberty. If the Statue of Liberty is 306 feet tall, what is the angle of de
expeople1 [14]
<span>We have a right angled triangle with an opposite of 300.5 ft. (306 - 5.5) and an adjacent of 400 ft. Recalling SOH CAH TOA, tanθ = O/A.
tan(θ) = 300.5/400.
θ = tan^-1(300.5/400).
θ = 36.9°.</span>
7 0
4 years ago
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