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V125BC [204]
2 years ago
13

Rationalize the denominator 1/3√3

Mathematics
1 answer:
ki77a [65]2 years ago
8 0

Answer:

Given,

1√3

by rationalizing,

1√3 ×(√3 / √3)

=√3/ 3

Step-by-step explanation:

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Each small square on the grid is 1 ft squared.
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Approximately 50ft because 5 put into the shape would be around 48 and it would be the best estimate of 50
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Write the equation of the line through the given points : <br> I need help please
Diano4ka-milaya [45]

Answer:

y=-3x+5

Step-by-step explanation:

The equation for slope is:

Slope=\frac{y_2-y_1}{x_2-x_1}

We can substitute the given coordinates into the equation:

Slope=\frac{3-0}{\frac{2}{3}-\frac{5}{3}}=\frac{3}{\frac{2-5}{3}}=\frac{3}{\frac{-3}{3}}=\frac{3}{-1}=-3

The slope is -3

The equation for a line is:

y=mx+b

m: slope

b: y-intercept

x, y: (x, y) coordinate pair

Now, plug in the slope and one of the (x, y) coordinate pairs to solve for the y-intercept.

y=mx+b\\y=-3x+b\\0=-3(\frac{5}{3})+b\\0=\frac{-15}{3}+b\\0=-5+b\\$Add 5 to both sides\\b=5

Therefore the equation is:

y=-3x+5

6 0
2 years ago
How many solutions are there in the equation below 8x+11=8x+8
olga_2 [115]
That is a no solution set, you have been bamboozled!
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The value of 3 in 34682?
valina [46]
The value of 3 in 34682 is 30,000~
7 0
3 years ago
Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure
Tju [1.3M]

<u>Corrected Question</u>

Quadrilateral QRST is inscribed in circle W as shown below. The measure of ∠QRS is 12 degrees less than three times the measure of ∠QTS and

mRQT=mRST .

(a)Determine the measure of Angle QTS .

(b)What is the common measure of angles RQT and RST ?

Answer:

(a)48 degrees

(b)90 degrees

Step-by-step explanation:

Theorem: Opposite angles of a cyclic quadrilateral are supplementary.

(a)

Let the measure of ∠QTS=x

Therefore: m∠QRS=3x-12

∠QTS and ∠QRS are opposite angles of a cyclic quadrilateral. By the theorem above:

x+3x-12=180

4x=180+12

4x=192

x=48 degrees

The measure of angle QTS is 48 degrees.

(b)Since mRQT=mRST

mRQT and mRST are opposite angles of a cyclic quadrilateral

Therefore:

mRQT+mRST=180 degrees

2mRQT=180

mRQT=90 degrees

Therefore, the common measure of RQT and RST is 90 degrees.

6 0
3 years ago
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