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3 years ago

I need to find the value of x

Mathematics

1 answer:

Yanka [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Radius = x

The triangle in the given image is a right angled triangle.

By Pythagoras theorem,

x² + 12² = ( x + 6 )²

x² + 144 = x² + 36 + 12x

x² - x² = 36 - 144 + 12x

0 = - 108 + 12x

12x = 108

x = 108 / 12

x = 9

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Which relation is a function?

Oksanka [162]

It’s B because the domain(x) doesn’t repeat like the other options.

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3 years ago

Suppose y = 48 + 3(2n - 1) is an explicit representation of an arithmetic sequence for integer values n ≥ 1. Find the xth partia

omeli [17]

$a_n=48+3(2n-1)$

The formula of the sum of the arithmetic sequence:
$S_n=\dfrac{a_1+a__n}{2}\cdot n$
calculate:
$a_1=48+3(2\cdot1-1)=48+3=51$
substitute
$S_n=\dfrac{51+48+3(2n-1)}{2}\cdot n=\dfrac{99+6n-3}{2}\cdot n=\dfrac{96+6n}{2}\cdot n=3n^2+48n$
Your answer is:
$\boxed{f(x)=3x^2+48x}$

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3 years ago

Read 2 more answers

angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH

motikmotik

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

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3 years ago

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Find the cost of a cd in 6years,assuming an inflation rate if 4% , if its present cost is $11.95

choli [55]

The cost of a cd after 6 year is =$ 15.12

Step-by-step explanation:

The present cost of the cd is $11.95 and inflation rate 4%

P = $11.95 , r = 4% and n = 6 years

The cost of a cd after 6 year is = $P (1+\frac{r}{100})^n$

=$ $11.95(1+\frac{4}{100})^6$

=$ 15.12

3 0

3 years ago

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. How much money did she save????

andrey2020 [161]

Given:

Normal price of a tv = $200

Coupon = 25% off

To find:

The money saved by Katherine.

Solution:

Katherine buys a tv with a normal price of $200 and she has a 25% off coupon. It means, the money saved by Katherine is 25% of normal price of tv, i.e., $200.

$Saving=25\%\text{ of }200$

$Saving=\dfrac{25}{100}\times 200$

$Saving=25\times 2$

$Saving=50$

Therefore, the money saved by Katherine is $50.

6 0

3 years ago

I need to find the value of x​

I need to find the value of x