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3 years ago

6

5/10 x 9/12 will give brainliest if correct

2 answers:

mote1985 [20]3 years ago

3 0

Answer:

0.375

Step-by-step explanation:

yarga [219]3 years ago

3 0

The answer is $\frac{3}{8}$

First, you must find like-denominators.

$\frac{30}{60} *\frac{45}{60}$

Then, multiply the terms across.

$\frac{1350}{3600}$

Finally, simplify the fraction

$\frac{3}{8}$

You might be interested in

Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)

ELEN [110]

Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

Calculate the distance between $(x,\sqrt x)$ and $(3,0)$

Distance is calculated as:

$d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}$

So:

$d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}$

$d = \sqrt{(x-3)^2 + (\sqrt x)^2}$

Evaluate all exponents

$d = \sqrt{x^2 - 6x +9 + x}$

Rewrite as:

$d = \sqrt{x^2 + x- 6x +9 }$

$d = \sqrt{x^2 - 5x +9 }$

Differentiate using chain rule:

Let

$u = x^2 - 5x +9$

$\frac{du}{dx} = 2x - 5$

So:

$d = \sqrt u$

$d = u^\frac{1}{2}$

$\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}$

Chain Rule:

$d' = \frac{du}{dx} * \frac{dd}{du}$

$d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}$

$d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}$

$d' = \frac{2x - 5}{2\sqrt u}$

Substitute: $u = x^2 - 5x +9$

$d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}$

Next, is to minimize (by equating d' to 0)

$\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0$

Cross Multiply

$2x - 5 = 0$

Solve for x

$2x =5$

$x = \frac{5}{2}$

Substitute $x = \frac{5}{2}$ in $y = \sqrt x$

$y = \sqrt{\frac{5}{2}}$

Split

$y = \frac{\sqrt 5}{\sqrt 2}$

Rationalize

$y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$y = \frac{\sqrt {10}}{\sqrt 4}$

$y = \frac{\sqrt {10}}{2}$

Hence:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

3 0

3 years ago

What is the supplementary angle of these:<br> - 14 degrees<br> - 109 degrees

DiKsa [7]

Answer:

456

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the y-intercept of the function f(x) = _2/9×+1/3

Leokris [45]

Answer:The y intercept is (0.0.333)

Step-by-step explanation:

5 0

3 years ago

PLEASE HELP ME WITH THIS!!!

kramer

I want to say the answer is 9

7 0

3 years ago

-9/2+ 1/2 + 13/2 = -1/2 (8+13)

AysviL [449]

Answer:

−9

2

+

1

2

+

13

2

?

=

−1

2

(8+13)

2.5≠−10.5

False

Step-by-step explanation:

5 0

3 years ago