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4 years ago

How do I solve 1/2x+2×1/2x=20

Mathematics

1 answer:

padilas [110]4 years ago

7 0

Answer:

x = 40/3

Step-by-step explanation:

$\frac{1}{2x} +2*\frac{1}{2x} = 20 \\\frac{1}{2x} +\frac{2}{2x} = 20 \\\frac{3}{2x} = 20 \\x = 20/\frac{3}{2} \\x = 20*\frac{2}{3} \\x = \frac{40}{3} \\$

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Anna35 [415]

Answer:

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Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

Solve the equation on the interval [0,2π). cos^4x=cos^4xcscx

Alisiya [41]

$\bf cos^4(x)=cos^4(x)csc(x)\\\\
-----------------------------\\\\
cos^4(x)=cos^4(x)\cfrac{1}{sin(x)}\implies cos^4(x)=\cfrac{cos^4(x)}{sin(x)}
\\\\\\
cos^4(x)sin(x)=cos^4(x)\implies cos^4(x)sin(x)-cos^4(x)=0
\\\\\\
cos^4(x)[sin(x)-1]=0\to 
\begin{cases}
cos^4(x)=0\to x=cos^{-1}(0)\\
----------\\
sin(x)-1=0\\
sin(x)=1\to x=sin^{-1}(1)
\end{cases}$

$\bf \measuredangle x = cos^{-1}(0)\implies \measuredangle x = 
\begin{cases}
\frac{\pi }{2}\\\\
\frac{3\pi }{2}
\end{cases}
\\\\\\
\measuredangle x=sin^{-1}(1)\implies \measuredangle x=\frac{\pi }{2}$

3 0

3 years ago

A dog has a 25 ft leash attached to a corner where a garage and fence meet. When the dog pulls the leash tight and walks from th

dalvyx [7]

Answer: $170^{\circ}$

Step-by-step explanation:

Given

The dog has a 25 ft leash

Arc length is 74.3 ft

Arc length is given by

$l=\dfrac{\theta }{360^{\circ}}\times 2\pi r$

here, r=25 ft

l=74.3 ft

Put the values

$\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}$

The measure of the angle is $170^{\circ}$

7 0

3 years ago

For four weeks in June Cameron baked 3 1/4 miles each week and swim 2 1/2 miles each week for three weeks in July he baked 4 3/4

Tems11 [23]

For June:
Bike:
(4) * (3 1/4) = 13 miles
Swim:
(4) * (2 1/2) = 10 miles
Total:
13 + 10 = 23 miles
For July:
Bike:
(3) * (4 3/4) = 14.25 miles
Swim:
(3) * (3 1/2) = 10.5 miles
Total:
14.25 + 10.5 = 24.75 miles
The difference between both months is:
24.75 - 23 = 1.75 miles
Answer:
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater

6 0

3 years ago

What does the point (1, 18) represent?

Zarrin [17]

Answer:

1 on the x axis, and 18 on the y axis

Step-by-step explanation:

4 0

3 years ago