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2 years ago

What is 8 divided by 96

Mathematics

2 answers:

Lemur [1.5K]2 years ago

7 0

Answer:

.08 remainder 3

Step-by-step explanation:

kvasek [131]2 years ago

5 0

Answer:

Step-by-step explanation:

just think of another way to rephrase it like whats 96 divided by 8 which again is 12.

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A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term

Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0

3 years ago

Find the length of the third side. If necessary, write in simplest radical form.

Mazyrski [523]

Answer:

$\boxed {\boxed {\sf 8}}$

Step-by-step explanation:

This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

$a^2+b^2=c^2$

Where a and b are the legs of the triangle and c is the hypotenuse.

In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

$a= 7 \\b= \sqrt{15}$

Substitute these values into the formula.

$(7)^2+(\sqrt{15})^2=c^2$

Solve the exponents.

(7)²= 7*7=49

$49+ (\sqrt{15})^2=c^2$

(√15)²=√15*√15=15

$49+15=c^2$

Add.

$64=c^2$

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

$\sqrt{64}=\sqrt{c^2} \\\sqrt{64}= c\\8=c$

The third side length is 8.

6 0

3 years ago

Read 2 more answers

What is the value of -16 divided by 2.5

tamaranim1 [39]

Hey the answer to your question is -6.4

8 0

2 years ago

Sin(x+y)-sin(x-y)/cos(x+y)+cos(x-y)=tany how do i verify this?

dsp73

Answer:

Step-by-step explanation:

Numerator

sin

cos

sin

−

[

sin

cos

−

cos

sin

)

sin

cos

sin

−

sin

cos

sin

cos

sin

Denominator

cos

−

sin

cos

sin

cos

−

sin

cos

sin

cos

---------------------------------------------------------------

left side can now be expressed as

cos

sin

cos

sin

cos

sin

cos

and

sin

cos

tan

right side hence proved

7 0

3 years ago

Lin Ping earned gross pay of $28,089 last year. Her yearly benefits are 33%

katovenus [111]

Answer:

i dont know

Step-by-step explanation:sorry

3 0

2 years ago