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3 years ago

13

Find x (Geometry) Full working out pls. Thank you

1 answer:

vichka [17]3 years ago

7 0

in 1st figure

2:1=(x+2):2

2/1=(x+2)/2

4=x+2

x=2.

Similarly in the 2nd figure

8:5=(8+3):(5+x)

8/5 = 11/ (5+x)

8(5+x) =55

40+8x=55

8x=15

x=15/8

x=1.875

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Find the geometric sum: 40 + 20 + 10 + … + 0.078125

sveticcg [70]

$S=40+20+10+\cdots+0.078125$
$S=40\left(1+\dfrac12+\dfrac14+\cdots+\dfrac1{512}\right)$
$S=40\left(1+2^{-1}+2^{-2}+\cdots+2^{-9}\right)$

$2^{-1}S=40\left(2^{-1}+2^{-2}+2^{-3}+\cdots+2^{-10}\right)$

$\implies S-2^{-1}S=40\left(1-2^{-10}\right)$
$\implies\dfrac12S=40\left(1-\dfrac1{1024}\right)$
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3 years ago

(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)

klemol [59]

Answer:

$\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1$

Step-by-step explanation:

Given the expression

$\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)$

Remove parentheses: (a)=a

$=-t^4-5t^3-10t^2+9t^3+3t^2-1$

Group like terms

$=-t^4-5t^3+9t^3-10t^2+3t^2-1$

Add similar elements

$=-t^4-5t^3+9t^3-7t^2-1$ ∵ $-10t^2+3t^2=-7t^2$

Add similar elements

$=-t^4+4t^3-7t^2-1$ ∵ $-5t^3+9t^3=4t^3$

Thus, the equivalent expression in simplified form:

$\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1$

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3 years ago

NEED HELP ASAP!! FILL IN THE BLANKS!! I'LL MARK YOU BRAINLIEST IF YOU ANSWER RIGHT!!!

amm1812

Answer: (x+8)^2 = 127

Step-by-step explanation:

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3 years ago

a shop owner buys 250 tee shirts for 6.50 each. he sells them for 11.00 each how much profit will he make?

arsen [322]

6.50 = 250
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3 years ago

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lora16 [44]

If I pick 10, then 2(10)+13=33
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8 0

3 years ago

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