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Neporo4naja [7]
3 years ago
15

find the length of the second base of a trapezoid with one base measuring 29ft a height of 9ft and an area of 193.5ft

Mathematics
1 answer:
nata0808 [166]3 years ago
5 0

\bf \textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} a,b=\stackrel{bases}{parallel~sides}\\ h=height\\[-0.5em] \hrulefill\\ a=29\\ h=9\\ A=193.5 \end{cases}\implies 193.5=\cfrac{9(29+b)}{2} \\\\\\ 387=9(29+b)\implies \cfrac{387}{9}=29+b\implies 43=29+b\implies 14=b

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2 years ago
A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full
german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius =  4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = \frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'

Here we have r/h is constant always

Hence \frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2

Substitute to get volume of water pumped out = \frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}

Mass of water = density x volume = 62.4(\frac{140\pi}{3})\\= 2912\pi lbs

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

6 0
3 years ago
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen f
Aloiza [94]

Answer:

Probability of choosing one club and one spade = 0.6025

Step-by-step explanation:

Total number of cards= 52 cards

For the first event

Probability of choosing a club

Toatal club = 13 cards

Probability of choosing a club

= 13/52

Probability of choosing a club

= 1/4

Probability of choosing a club

=0.25

For the second event

Probability of choosing a spade

Toatal spade = 13 cards

Probability of choosing a spade

= 13/52

Probability of choosing spadep

= 1/4

Probability of choosing a spade = 0.25

Probability of both = 0.25*0.25

Probability of both = 0.6025

5 0
2 years ago
Please help me with this questions. I am stuck on them. Whoever help I will mark brainlest.
taurus [48]

The graph has been shifted to the left and moved up and stretched as scaling is done ,

<h3>What is Transformation ?</h3>

Reflecting , Rotating , Dilating a function to form a new function is called Transformation.

The graph of the function f(x) = 1/ x is given

and a transformed function is given

The graph has been shifted to the left and moved up and stretched as scaling is done ,

Therefore three types of transformation are done on the parents function.

The transformation can be seen through the graph attached.

To know more about Transformation

brainly.com/question/11709244

#SPJ1

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2 years ago
Geometry | Surface Area | Need Help On One!
astraxan [27]

Answer: the answer is ccc

Step-by-step explanation: hey

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