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luda_lava [24]
3 years ago
15

How to solve 3/8=24/c+10

Mathematics
1 answer:
Tpy6a [65]3 years ago
5 0

3/8=2/4c+10

Multiply all terms by c and cancel:

3c/8=24+10c

(Simplify both sides of the equation)

3/8c=10c+24

(Subtract 10c from both sides)

3/8c−10c=10c+24−10c

−77/8c=24

(Multiply both sides by 8/(-77))

(8/−77)*(−77/8c)=(8/−77)*(24)

c=−192/77




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Answer:

The required explicit formula is A(n)= 4-4n

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Step-by-step explanation:

Given arithmetic sequence is 8,4,0,-4,-8......

The arithmetic sequence is given by a,a+d,a+2d.......a+(n-1)d

Comparing both the sequence we get,

a=8 and a+d=4

For value of d:

d+a=4

d=4-8=(-4)

The explicit formula is given by : A(n)= a+(n-1)d

A(n)= a+(n-1)d

A(n)= 8+(n-1)(-4)

A(n)= 8-4n+4

A(n)= 4-4n

Therefore, The required explicit formula is A(n)= 4-4n

To find value of 10 th term:

Take n=10 in explicit formula

A(10)= 4-4(10)

A(10)= -36

Therefore, 10th term is (-36)

8 0
3 years ago
(a) Solve 7( k - 3 ) = 3k - 5
babymother [125]
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Help me find the area of this please
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Answer:

{215cm}^{2}

Step by Step

first, I'll divide the big shape into 3 smaller ones. it will be the rectangle on the top (10x8), the square below that (10x10), and the triangle on the right (7x10/2)

if I calculate all, I get 80cm squared, 100cm squared, and 35cm squared.

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3 years ago
What is two hundred and forty dived by six
Serggg [28]
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Sine of x divided by one minus cosine of x + sine of x divided by one minus cosine of x = 2 csc x
kolbaska11 [484]

Answer:

The answer in the procedure

Step-by-step explanation:

we have

\frac{sin(x)}{1-cos(x)}+\frac{sin(x)}{1-cos(x)}=2csc(x)

Prove the identity

In this problem there is a mistake: in order to obtain an identity the second denominator at the left side must be 1 + cosx

so

\frac{sin(x)}{1-cos(x)}+\frac{sin(x)}{1+cos(x)}=2csc(x)

Adds fraction in the left side

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Remember that

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sin^{2}(x)=1-cos^{2}(x)

substitute

\frac{2sin(x)}{sin^{2}(x)}=2\frac{1}{sin(x)}

Multiply both sides by sin(x)

(sin(x))\frac{2sin(x)}{sin^{2}(x)}=2

\frac{2sin^{2}(x)}{sin^{2}(x)}=2

2=2 ----> identity verified

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