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nirvana33 [79]
1 year ago
7

D. 240 in. 2. What is the surface area of this rectangular pyramid in

Mathematics
1 answer:
a_sh-v [17]1 year ago
6 0

Surface area of a rectangular pyramid = A + 1/2 p s

Where:

A = area of the base

p = perimeter of the base

s= salnt height = 5 in

A = Area of a rectangle = length x width = 8 x 4 = 32 in2

Perimeter of the base = 2 lenght + 2 width = 2(8)+2(4) = 24 in2

SA = 32 + 1/2 * 24 * 5 = 92 in2

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At noon, ship A is 170 km west of ship B. Ship A is sailing east at 35 km/h and ship B is sailing north at 20 km/h. How fast is
garik1379 [7]
Check the picture below.

now, keep in mind that ship B is going at 20kph, thus from noon to 4pm, is 4 hours, so it has travelled by then 20 * 4 or 80 kilometers, thus b = 80.

whilst the ship B is moving north, the distance "a" is not really changing, and thus is a constant, that matters because the derivative of a constant is 0.

\bf c^2=a^2+b^2\implies \stackrel{chain~rule}{2c\cfrac{dc}{dt}}=0+2b\cfrac{db}{dt}\implies \cfrac{dc}{dt}=\cfrac{b\frac{db}{dt}}{c}
\\\\\\
\begin{cases}
\frac{db}{dt}=20\\
c=10\sqrt{353}\\
b=80
\end{cases}\implies \cfrac{dc}{dt}=\cfrac{80\cdot 20}{10\sqrt{353}}\implies \cfrac{dc}{dt}=\cfrac{160}{\sqrt{353}}
\\\\\\
\textit{and rationalizing the denominator}\implies \cfrac{160\sqrt{353}}{353}

8 0
3 years ago
Tom's weight = 500 pounds
ruslelena [56]

Answer:

88% of his weight remains

5 0
2 years ago
Diet cola was on sale last week; it cost $10 for every 4 packs of cola. How much do 2 packs of cola cost?
TiliK225 [7]

Answer:

2 pack of cola would cost $5.

Step-by-step explanation:

the reason for this being is that

4 packs of cola = $10

2 is half of 4

5 is half of 10

$5<====

4 0
2 years ago
Read 2 more answers
help me thank you whoever is right gets brainliest A carpenter attaches a piece of plywood with a width of 4 feet and a length o
levacccp [35]

Answer:

45

Step-by-step explanation:

7 0
2 years ago
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Simplify to create an equivalent expression. \qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)
maw [93]

Answer:

  54y² +255y +300

Step-by-step explanation:

Such an expression is simplified by eliminating parentheses and combining like terms.

<h3>Eliminate parentheses</h3>

Taking the given expression at face value, we have ...

  {2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)

  = {6y +12 +12 +3y}(6y +12) +12 +3y

  = (9y +24)(6y +12) +12 +3y

  = (9y)(6y +12) +24(6y +12) +12 +3y

  = 54y² +108y +144y +288 +12 +3y

<h3>Combine like terms</h3>

  = 54y² +(108 +144 +3)y +(288 +12)

  = 54y² +255y +300

8 0
1 year ago
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