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Sauron [17]
2 years ago
11

Find the missing length indicated.

Mathematics
2 answers:
barxatty [35]2 years ago
8 0

Answer:

1284

Step-by-step explanation:

you have to use the scientific method of trigonomitronical math

Morgarella [4.7K]2 years ago
6 0

Answer:

x= 108

Step-by-step explanation:

use the altitude theorem:

altitude ² = projection of side 1* projection of side 2

x² = 144* (225-144)

x² = 144*81

x= √144*81

x= 108

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The altitude of a triangle is increasing at a rate of 1 cm/ min while the area of the triangle is increasing at a rate of 2 cm2
serg [7]
Ya, calculus and related rates, such fun!




everything is changing with respect to t

altitude rate will be dh/dt and that is 1cm/min
dh/dt=1cm/min

area will be da/dt which is increasing at 2cm²/min
da/dt=2cm²/min

base=db/dt

alright

area=1/2bh
take dervitivie of both sides
da/dt=1/2((db/dt)(h)+(dh/dt)(b))
solve for db/dt
distribute
da/dt=1/2(db/dt)(h)+1/2(dh/dt)(b)
move
da/dt-1/2(dh/dt)(b)=1/2(db/dt)(h)
times 2 both sides
2da/dt-(dh/dt)(b)=(db/dt)(h)
divide by h
(2da/dt-(dh/dt)(b))/h=db/dt

ok
we know
height=10
area=100
so
a=1/2bh
100=1/2b10
100=5b
20=b

so
h=10
b=20
da/dt=2cm²/min
dh/dt=1cm/min

therefor
(2(2cm²/min)-(1cm/min)(20cm))/10cm=db/dt
(4cm²/min-20cm²/min)/10cm=db/dt
(-16cm²/min)/10cm=db/dt
-1.6cm/min=db/dt

the base is decreasing at 1.6cm/min
4 0
3 years ago
If one can of paint contains 2 2/5 gallons, how much paint is in one dozen cans of paint?
olasank [31]
Hi there!

Let’s take a look at the question.

One can of paint contains 2 2/5. We can make it easier by transforming the fraction (2 2/5) to a decimal (2.4). Now you have 2.4. Next, it says “one dozen”. One dozen refers to 12 cans. You’ll want to multiply 2.4 with 12.

Your answer is 28.8, or 28 4/5.


Hope this helps!
7 0
3 years ago
Show all work for full credit. Given: f (x) = -2x + 1, find f (1) x Clear h Undo​
xenn [34]

Answer:

I hope this helps

Step-by-step explanation:

five percent

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2 years ago
2/5y-4+7-9/10y simplify
Vaselesa [24]
- y - 6
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6 0
3 years ago
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A + b =16<br><br> solve for A
OlgaM077 [116]
A and b both have to be 8 so the answer is 8
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3 years ago
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