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3 years ago

The perimeter of a rectangle is 222 millimeters.If the length is 60 millimeters,what is the width of the rectangle?

2 answers:

4 0

Half of perimeter (or length+ width) is:
222 mm /2= 111 mm.

111 mm- 60 mm= 51 mm

The width of the rectangle is 51 mm~

Westkost [7]3 years ago

3 0

Answer: The width of the rectangle is 51mm 111 mm- 60 mm = 51mm

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Six groups of students sell 162 balloons at the carnival .there are 3 students in each group. if each student sells the same num

Len [333]

It should be 54 because you half to divide 162 by 3

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3 years ago

What are the coordinates of points x,j,y, and w

Dmitry_Shevchenko [17]

X: 1, 2

J: 1, 5

Y: -3, 5

Start with the x-axis which is the horizontal line, and then the y-axis which is the vertical line, then you just find the dot and the points!

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3 years ago

Read 2 more answers

2 tan 30°<br>II<br>1 + tan- 300

shusha [124]

Question:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Answer:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

Step-by-step explanation:

Given

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$

Required

Simplify

In trigonometry:

$tan(30^{\circ}) = \frac{1}{\sqrt{3}}$

So, the expression becomes:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}$

Simplify the denominator

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}$

Express the fraction as:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} / \frac{4}{3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{2}{\sqrt 3} * \frac{3}{4}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{1}{\sqrt 3} * \frac{3}{2}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3}$

Rationalize

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{3\sqrt{3}}{2* 3}$

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= \frac{\sqrt{3}}{2}$

In trigonometry:

$sin(60^{\circ}) = \frac{\sqrt{3}}{2}$

Hence:

$\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}$ $= sin(60^{\circ})$

3 0

3 years ago

Justin runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

posledela

Answer:

2.8 Miles

Step-by-step explanation:

If 7m is 60mins

How many miles is 24 mins

solution:

take unknown miles to be 'x'

7m=60mins

Xm=24mins

cross multiply

7×24/60=2.8m

x=2.8miles

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2 years ago

31/130 as a decimal rounded to the tenths spot

STatiana [176]

Answer:

Rounded to nearest tenths = 0.2

5 0

3 years ago