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julsineya [31]
3 years ago
9

lois put 8 liters of water in a bucket for her pony.at the end of the day, there were 2 liters of water left.how much water did

the pony drink?
Mathematics
2 answers:
Pavlova-9 [17]3 years ago
7 0
8- 2= 6
Answer: The pony drank 6 liters of water
In-s [12.5K]3 years ago
5 0
The pony drank 6 litres.
8-2=6
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What is the 72nd term in the term in the arithmetic sequence 3, 9, 15, 21,
boyakko [2]

Answer:

429

Step-by-step explanation:

y=3+6×(n-1)

n=72

y=3+6×(72-1) = 429

7 0
3 years ago
Yeah I don’t get this
umka2103 [35]

using pythagorean theorem

a^2 + b^2 = c^2

(12x)^2 + (16x)^2 = 10^2

square each term

144x^2 + 256x^2 = 100

combine like terms

400 x^2 = 100


divide by 400 on each side

x^2 = 1/4

take the square root on each side

x = 1/2


Answer:  x=1/2

8 0
3 years ago
The perimeter of a shape is 25.71 cm calculate the value of the radius X takes pie to be 3.142
Mariulka [41]

Answer:

5 cm

Step-by-step explanation:

Given a semicircle with perimeter 25.71 cm, we are required to find the radius of the circle.

Circumference of a Semicircle

=Length of the Circular part+Length of the diameter

=\pi r+2r

If \: \pi=3.142, C=25.71\\Then:\\25.71=3.142r+2r\\r(3.142+2)=25.71\\5.142r=25.71\\r=25.71 \div5.142\\r=5cm

3 0
3 years ago
Which of the following are identities? Check all that apply
Natasha2012 [34]

Answer:

A, C

Step-by-step explanation:

Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.

Examining

A) True

\frac{1-tan^{2}x}{2tanx} =\frac{1}{tan2x} \\ \frac{1-tan^{2}x}{2tanx} =\frac{1}{\frac{2tanx}{1-tan^{2}x}}\\ tan2x=\frac{1-tan^{2}x}{2tanx}

Double angle tan2\alpha =\frac{1 -tan^{2}\alpha }{2tan\alpha}

B) False,

No further development towards a Trig Identity

C) True

Double Angle Sine Formula sin2\alpha =2sin\alpha *cos\alpha

sin(8x)=2sin(4x)cos(4x)\\2sin(4x)cos(4x)=2sin(4x)cos(4x)

D) False No further development towards a Trig Identity

[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)

7 0
3 years ago
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In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
fiasKO [112]

Step-by-step explanation:

From the statement:

M: is total to be memorized

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The key issue is translate this statement as equation "rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized"

memorizing rate is \frac{dA(t)}{dt}.

the amount that is left to be memorized can be expressed as the total minus the amount memorized, that is M-A(t).

So we can write

\frac{dA(t)}{dt}=k(M-A(t))

And that would be the differential equation for A(t).

4 0
3 years ago
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