All categories

3 years ago

4 over 1 divided by 9 over 8 equals

Mathematics

1 answer:

eduard3 years ago

7 0

Answer:

3 5/9

Step-by-step explanation

you flip 9/8 to 8/9 and multiply... you get 32/9=3 5/9

You might be interested in

PLS HELP ME ASAP I ONLY HAVE 5 MINITUES

Shkiper50 [21]

Answer:

200 + 50x = 450

Step-by-step explanation:

So, 200 + 50x = 450

50x = 450-200 = 250

X = 250/50

X = 5

Check:

200 + 50(5)

= 200 + 250 = 450.

5 0

3 years ago

Read 2 more answers

The diagram represents an enlargement of a rectangle by a scale factor of 4,

Lapatulllka [165]

Answer:D 16inches by 8 inches

Step-by-step explanation:

3 0

3 years ago

If cos theta= -8/17 and theta is in quadrant 3, what is cos2 theta and tan2 theta

Karo-lina-s [1.5K]

$\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad 
\begin{array}{llll}
\textit{now, hypotenuse is always positive}\\
\textit{since it's just the radius}
\end{array}
\\\\\\
thus\qquad cos(\theta)=\cfrac{-8}{17}\cfrac{\leftarrow adjacent=a}{\leftarrow hypotenuse=c}$

since the hypotenuse is just the radius unit, is never negative, so the - in front of 8/17 is likely the numerator's, or the adjacent's side

now, let us use the pythagorean theorem, to find the opposite side, or "b"

$\bf c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite
\end{cases}
\\\\\\
\pm\sqrt{17^2-(-8)^2}=b\implies \pm\sqrt{225}=b\implies \pm 15=b$

so... which is it then? +15 or -15? since the root gives us both, well
angle θ, we know is on the 3rd quadrant, on the 3rd quadrant, both, the adjacent(x) and the opposite(y) sides are negative, that means, -15 = b

so, now we know, a = -8, b = -15, and c = 17
let us plug those fellows in the double-angle identities then

$\bf \textit{Double Angle Identities}
\\ \quad \\
sin(2\theta)=2sin(\theta)cos(\theta)
\\ \quad \\
cos(2\theta)=
\begin{cases}
cos^2(\theta)-sin^2(\theta)\\
\boxed{1-2sin^2(\theta)}\\
2cos^2(\theta)-1
\end{cases}
\\ \quad \\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\
-----------------------------\\\\
cos(2\theta)=1-2sin^2(\theta)\implies cos(2\theta)=1-2\left( \cfrac{-15}{17} \right)^2
\\\\\\
cos(2\theta)=1-\cfrac{450}{289}\implies cos(2\theta)=-\cfrac{161}{289}$

$\bf tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\implies tan(2\theta)=\cfrac{2\left( \frac{-15}{-8} \right)}{1-\left( \frac{-15}{-8} \right)^2}
\\\\\\
tan(2\theta)=\cfrac{\frac{15}{4}}{1-\frac{225}{64}}\implies tan(2\theta)=\cfrac{\frac{15}{4}}{-\frac{161}{64}}
\\\\\\
tan(2\theta)=\cfrac{15}{4}\cdot \cfrac{-64}{161}\implies tan(2\theta)=-\cfrac{240}{161}$

6 0

3 years ago

Katy recently hired a contractor to do some necessary work. On the final bill, Katy was charged a total of $488. $260 was listed

svetlana [45]

Answer:

(A) $260 + $57x = $488

(B) 4 hours

Step-by-step explanation:

(A) We need to find out how many hours of labor he needed to complete the job. That's what the x will represent.

We know that he charged Katy for the parts and for the labor, with an hourly rate of $57.

We need to sum the amount of money he charged for the parts with the hourly rate multiplied by the number of hours he worked.

Let's notice that we multiply the number of hours just to the hourly rate, the price of the parts doesn't depend on how many hours he worked.

That is $260 + $57*x

We know that the total was $488, so we just need to equal the expression before to the total.

$260 + $57x = $488

That's the expression we were looking for.

(B) Let's solve the equation. We need to leave the x alone on one side of the equation.

First, let's subtract $260 on both sides:

$260 + $57x - $260 = $488 - $260

$57x = $228

Now we divide by $57 on both sides:

$57x/$57 = $228/$57

x = 4

He needed 4 hours to do the job.

4 0

3 years ago

What is 3/26 in simplest form

timofeeve [1]

The fraction 3/26 is alread in the simplest form, so it isn't possible to reduce it any further.
This is a PROPER FRACTION once the absolute value of the top number or numerator (3) is smaller than the absolute value of the bottom number or denomintor (26).
The fraction 3/26 is equal to 3÷26 and can also be expressed in decimal form as 0.115385.

8 0

3 years ago