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3 years ago

Find the value of x. Round to the nearest tenth. tan 46 = x/12

Mathematics

2 answers:

vredina [299]3 years ago

8 0

Answer: Hello there!

we have the equation tan(46) = x/12

(here I assume that the 46 is in degrees)

and we want to find the value of x.

We need to isolate x on one side of the equation, we can do it by multiplying by 12 in both sides of the equation:

tan(46°)*12 = (x/12)*12 = x

then x = tan(46°)*12 = 12.426

And we want to round it to the nearest tenth.

The tenth is the first number after the decimal point, in this case, is a 4.

To round the number we need to look at the following number, if it is 5 or bigger, we need to round up, if the following number is smaller than 5, we need to round down.

The next number to the 4, is a 2, this means that we need to round down:

this means that the solution is x = 12.4

otez555 [7]3 years ago

5 0

Tan46=x/12
12×tan 46=x
12×1.03=x
0.21255=x

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Kobotan [32]

I = PRT
983.25 = (3800)(R)(3.5)
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3 years ago

How much money is one quarter five nickel three dimes

Rufina [12.5K]

Answer:

$.80 or 80¢

Step-by-step explanation:

US Coin Denominations are as follows:

Quarters: $.25

Dime: $.10

Nickel: $.05

Penny: $.01

We can now use the following

(1*25)+(5*5)+(3*10)=80

4 0

2 years ago

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7 0

3 years ago

Joe's annual income has been increasing in the same dollar amount. The first year his income was $15,200, and the 4th year his i

lidiya [134]

Answer:

Therefore 6th year his income was $19,700.

Step-by-step explanation:

Given, Joe's annual income has been increasing in some dollar amount . The first year his income was $15,200 and 4th year his income was $17,900.

A=$17900, P= $15,200 and n = 3 year

$A= P(1+\frac{r}{100} )^n$

$\Leftrightarrow 17900=15200(1+\frac{r}{100})^3$

$\Leftrightarrow (1+\frac{r}{100})^3=\frac{17900}{15200}$

$\Leftrightarrow (1+\frac{r}{100})=(\frac{17900}{15200})^{\frac{1}{3} }$

$\Leftrightarrow \frac{r}{100}=(\frac{17900}{15200})^{\frac{1}{3} }-1$

$\Leftrightarrow r=5.60$

Let $t^{th}$ year Joe's income was $19,700.

$\therefore 19700=15,200(1+\frac{5.60}{100} )^{t-1}$

$\Leftrightarrow 1.296= (1+0.056)^{t-1}$

$\Leftrightarrow 1.296= (1.056)^{t-1}$

$\Leftrightarrow log(1.296)= (t-1)log(1.056)$

$\Leftrightarrow \frac{log(1.296)}{log(1.056)}= (t-1)$

$\Leftrightarrow t-1= 4.75$

$\Leftrightarrow t= 4.75+1$

$\Leftrightarrow t = 5.75$ ≈6

Therefore 6th year his income was $19,700.

8 0

3 years ago

Pls pls help I no understand

vazorg [7]

Answer: 2p+1.50=11.50

p = 5.00

Step-by-step explanation:

Note: the tip is calculated on top of the total so this figure is a redherring

2 pancakes plus 1 fruit cup equals total bill

2p + 1.50 = 11.50

- 1.50 - 1.50

2p = 10.00

÷2 ÷2

p = 5.00

8 0

4 years ago