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3 years ago

What is the value of x in the rhombus below?

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

$3x+2+4x-10=180\\
7x=188\\
x\approx27

$

lara [203]3 years ago

4 0

The diagonals of a rhombus bisect<span> each other at </span>right angles (90°) and in a triangle, the three interior angles always add to 180° ⇒

3x + 2 + 4x - 10 + 90 = 180
7x + 82 = 180
7x = 180 - 82
7x = 98
x = 98/7
x = 14

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ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)

Delicious77 [7]

$remember$
$ln(x)=log_e(x)$
$and$
$log_x(a)-log_x(b)= log_x( \frac{a}{b} )$
$and$
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$and$
$blog(a)=log(a^b)$

$so$

$ln(y+1)-ln(y)=1+3ln(x)$
$ln( \frac{y+1}{y} )=1+ln(x^3)$

$minus$ $ln(x^3)$ $from$ $both$ $sides$

$ln( \frac{y+1}{y}-ln(x^3) )=1$
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$translate$

$e^1=\frac{y+1}{yx^3}$
$e=\frac{y+1}{yx^3}$

$times$ $both$ $sides$ $by$ $yx^3$

$eyx^3=y+1$

$minus$ $y$ $from$ $both$ $sides$

$eyx^3-y=1$
$y(ex^3-1)=1$

$divide$ $both$ $sides$ $by$ $(ex³-1)$

$y= \frac{1}{ex^3-1}$

6 0

3 years ago

Read 2 more answers

Did I do this correct???

kondor19780726 [428]

The answer is actually D. Since 2.5 is a side of each tiny block, there is 3 sides that you are going to multiply together. There is 5,2 and 4 because we are multiplying the length,width and side. So the length is 2.5*5=12.5 which was correct. The width is 2.5*4=10 which you had but you crossed it out. Then lastly you are looking for the side of the shape. 2.5*2=5. Now that I have everything I just need to multiply everything together. 12.5*10*5=625 in³. I hope this helped you!

6 0

3 years ago

Harry just moved into his new house he had 318 boxes to unpack he unpacked 2/6 of the boxes in the first week he unpacked 1/2 of

beks73 [17]

So

2/6 of 318=106

so 106-1/2 or 106/2=53

So he has 53 boxes left

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3 years ago

How does the number 7 in 777.77 in the tenths place compare to 7 in the hundredths place

frosja888 [35]

Answer:

0.7 is 7/10 Example out of ten cookies 7 are chocolate chip

0.07 is 7/100 Example out of 100 cookies 7 are chocolate chip

Hope This Helps!!!

5 0

2 years ago

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STatiana [176]

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3 years ago