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4 years ago

What is the value of x?

Mathematics

1 answer:

allsm [11]4 years ago

6 0

First need to find the length of line LJ

Line LJ = 8sqrt2 * sin(30) = 5.6569

now use that to find x

x = 5.6569 * sin(45) = 4

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Four thrids times the sum of a number 8 is 24. what is the numver

guajiro [1.7K]

Answer:

The number is 10

Step-by-step explanation:

Let the number be x.

four thirds times = 4/3

According to the statement:

four thrids times the sum of a number and 8 is 24

4/3 *(x+8)= 24

Move 3 to the R.H.S and Multiply 4 with the parenthesis.

4x+32=24*3

4x+32=72

Move constant to the R.H.S

4x=72-32

4x=40

Divide both the terms by 4

4x/4=40/4

x=10

Therefore the number is 10....

4 0

4 years ago

Hello, help me please))

Fed [463]

Answer:

6
9
1/8
-10/11

Step-by-step explanation:

You can rewrite the given log expressions to express them in terms of ln(a), ln(b), and ln(c). Then substituting the given values will produce the value of the expression.

Or, you can define the variables 'a', 'b', and 'c' and let your calculator compute these directly.

$\ln\left(\dfrac{a^4}{b^4c^{-2}}\right)=4\ln(a)-(4\ln(b)-2\ln(c))=4\cdot2-4\cdot3+2\cdot5=\boxed{6}$

$\ln\left(\sqrt{b^{-2}c^4a^2}\right)=\dfrac{1}{2}\left(-2\ln(b)+4\ln(c)+2\ln(a)\right)=\ln(a)-\ln(b)+2\ln(c)\\\\=2-3+2\cdot5=\boxed{9}$

$\dfrac{\ln(a^1b^2)}{\ln(bc)^2}=\dfrac{\ln(a)+2\ln(b)}{(\ln(b)+\ln(c))^2}=\dfrac{2+2\cdot3}{(3+5)^2}=\dfrac{8}{64}=\boxed{\dfrac{1}{8}}$

$\ln(c^{-2})\left(\ln\dfrac{a}{b^{-3}}\right)^{-1}=\dfrac{-2\ln(c)}{\ln(a)-(-3)\ln(b)}=\dfrac{-2(5)}{2+3\cdot3}=\boxed{-\dfrac{10}{11}}$

_____

The applicable rules of logarithms are ...

ln(ab) = ln(a) +ln(b)
ln(a/b) = ln(a) -ln(b)
ln(a^b) = b·ln(a)
ln(a) = b ⇔ a = e^b

Of course, a square root is the same as a 1/2 power.

7 0

2 years ago

Determine the point estimate of the population mean and margin of error for the confidence interval with lower bound 7 and upper

djverab [1.8K]

Answer:

Point estimate is 16 and Margin of error is 9

Step-by-step explanation:

The point estimate is given by the following formula:

Point estimate = (Lower Bound + Upper Bound) / 2

Replacing we have:

Point estimate = (7 + 25) / 2 = 32/2

Point estimate = 16

Now, the margin of error is given by the following equation:

Margin of error = (Upper Bound - Lower Bound) / 2

Margin of error = (25 -7) / 2 = 18/2

Margin of error = 9

6 0

3 years ago

Estimate the sum of 24 and 36

Natasha_Volkova [10]

Round 24 to 20 and then 36 to 40 add 20 plus 40 and u get 60

7 0

3 years ago

Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase

mario62 [17]

Maria is correct because she subtracted the discount and added the sales tax...
The discount is the amount that would be taken away from the original price and the sales tax is added to the original price.
Yes, they have enough money.
(26.50-25%+10%=22.525)

8 0

4 years ago