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3 years ago

Plz help asap will give crown

Mathematics

1 answer:

s2008m [1.1K]3 years ago

6 0

Answer:

-18

Step-by-step explanation:

did the problem rn

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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

Wich step can be done to both sides of the equation to determine the value of x?

julia-pushkina [17]

Answer:

Add 9.6 to both sides and then divide both sides by 3.2

Step-by-step explanation:

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3 years ago

Find x.<br> the answer can be in a integer or it could be in a decimal it doesn’t really matter.

Svetllana [295]

Answer: 42

Step-by-step explanation: Subtract 81 from 123 ;) your welcome

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3 years ago

Twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary a

Ksju [112]

Answer:

Shown

Step-by-step explanation:

Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.

Let us consider consecutive numbers in this set.

$1+2+3 =6$

After this we find the totals are more than 20.

When 1 to 12 are arbitrarily arranged, there are chances that numbers from 6 and above are having consecutive numbers.

These totals are greater than 20

Hence shown that some three consecutive players have the sum of their numbers at least 20.

(i.e. starting from if we take)

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3 years ago

15 POINTS! someone pls answer

soldier1979 [14.2K]

Answer:

$2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)$

Step-by-step explanation:

The formula for the area of a triangle is $\frac{1}{2} *b*h$

The triangles that can be made is the triangle that has legs 20 and 50 and the triangle that has legs 20 and 10.

Since there are 2 of each triangles, we get:

$2(\frac{1}{2} *20*50)+2(\frac{1}{2} *20*10)$

The answer that fits is the first option.

3 0

3 years ago