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Sonja [21]
3 years ago
8

Which of the following is equivalent to 60^1/2

Mathematics
2 answers:
Xelga [282]3 years ago
7 0

Answer:

B. \sqrt{60}

Step-by-step explanation:

We have been given an expression (60)^{\frac{1}{2}}. We are asked to find the equivalent expression to our given expression.

We will use law of exponents to solve our given problem.

Using property \sqrt[n]{a^m}=a^{\frac{m}{n} we can rewrite our given expression as:

(60)^{\frac{1}{2}}=\sqrt{60^1}

(60)^{\frac{1}{2}}=\sqrt{60}

Upon looking at our given choices we can see that option B is the correct choice.

Hitman42 [59]3 years ago
3 0
Sqrt(60)
the power to 1/2 means taking the sqrt
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Find the $x$-intercept of the line $3x - 5y = 7.$
kotegsom [21]

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

<h3>What is the x-intercept of the line?</h3>

Given the function;

  • 3x - 5y = 7
  • x-intercept ?

X-intercept occurs on the graph when y=0. Hence, to determine x-intercept, we substitute in 0 for y and solve for x.

3x - 5y = 7

3x - 5(0) = 7

3x - 0 = 7

3x = 7

x = 7/3

Hence, we have a point ( 7/3, 0 ).

The x-intercept of the line 3x - 5y = 7 is at point ( 7/3, 0 ).

Learn more about x and y-intercepts here: brainly.com/question/12791065

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1 year ago
HIJK is a rectangle. HJ=x and IK=2x-7 Find the length of each diagonal​
laila [671]
The diagonals of a rectangle are congruent so set them equal to each other to get x = 2x - 7. isolate the variable (0 = x - 7 — x = 7) to get x = 7. the diagonals are seven.
3 0
3 years ago
2) The distance between Janet's home and her office is represented on the map with a scale factor of 1 inch = 5.6 miles. If the
SpyIntel [72]

Hey there! I"m happy to help!

We see that 1 inch is equal to 5.6 miles for this scale factor. If we have three inches, we simply multiply 5.6 by 3 to figure out how many miles this is!

5.6(3)=16.8

Therefore, Janet's home is 16.8 miles from her office.

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The side lengths of the following right triangle 15,20 and 25, as shown below. The altitude from the right angle splits the hypo
kompoz [17]

Answer:

h = 12

x = 9

y= 16

Step-by-step explanation:

Given

The attached triangle

Required

Find h, x and y

Let the base of the triangle be 15.

So, the area is:

A = \frac{1}{2} * 15 * 20

i.e\ height = 20

A = \frac{1}{2} * 300

A = 150

Let the base of the triangle be 25.

So, the area is:

A = \frac{1}{2}  * 25 * h

i.e\ height = h

A = \frac{1}{2}  * 25h

Substitute A = 150

\frac{1}{2}*25h = 150

Solve for h

h = \frac{150 *2}{25}

h = 6 *2

h = 12

Considering the smallest triangle

Hypotenuse = 15

So:

15^2 = h^2 + x^2

15^2 = 12^2 + x^2

This gives:

15^2 - 12^2 = x^2

81 = x^2

Take square roots

9 =x

x = 9

Solving for y

x + y = 25

y= 25 - x

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7 0
2 years ago
Is 1.73205 rational?
Assoli18 [71]

Answer:

No, it is not.

Step-by-step explanation:

It can not be turned into a fraction and isn't repeating with the same number.

6 0
3 years ago
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