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3 years ago

Find the missing value. Show your work .

Mathematics

1 answer:

Irina18 [472]3 years ago

5 0

Use SOHCAHTOA
sin(51)=y/12
sin(51) (12)=y
y=8.04275011012

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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 fee

ollegr [7]

Answer: 4.5 (after is the pi sign)

Step-by-step explanation: i got it right on khan academy so

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3 years ago

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Which equation has x = –6 as the solution?

olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

Step-by-step explanation:

Checking the equation

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

$\log _3\left(-2x-3\right)=2$

Use the logarithmic definition

$\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2$

$-2x-3=3^2$

$-2x-3=9$

$-2x=12$

$\mathrm{Divide\:both\:sides\:by\:}-2$

$\frac{-2x}{-2}=\frac{12}{-2}$

$x=-6$

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

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3 years ago

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Right now Martha has $600 in her savings account she wants to purchase a used car she decides that it we should put $20 into acc

lapo4ka [179]

Multiply the amount she puts in the account every week by the number of weeks (w) and add that to what she already has saved:

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4 years ago

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Sundas made 2 out of her 5 shots she attempted. Find the percent of the shots she attempted.

Rudik [331]

Answer:

i think it is 40%

Step-by-step explanation:

she made 2/5 shots so

2/5*2=4/10

i times it by 2 because its out of 100

4/10*10=40/100

then i times it by 10 to get to 100

(2/5 is not 2 divided by five it is 2 over 5 just incase u didnt know what i was talking about)

8 0

3 years ago

A tire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a stan

Illusion [34]

Answer:

42580 miles

Step-by-step explanation:

Mean = $\mu = 47500$

$\sigma = 3000$

The manufacturer does not want to replace more than 5% of the tires

$P(X\leq x)=5\%$

$P(\frac{x-\mu}{\sigma}\leq \frac{x-47500}{3000})=0.05$

By using normal table values :

$\frac{x-47500}{3000}=-1.64$

$x=(-1.64 \times 3000)+47500$

$x=42580$

Hence the approximate number of miles for the warranty is 42580 miles

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3 years ago