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3 years ago

What is 10 divided by 5/12

Mathematics

2 answers:

denis23 [38]3 years ago

7 0

<h3>Solution:</h3>

$10 \div \frac{5}{12} \\ = 10 \times \frac{12}{5} \\ = 2 \times 12 \\ = 24$

<h3>Answer:</h3>

Svetllana [295]3 years ago

3 0

The answer is 24 now goodluck with your homework

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What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

<em>Look at the picture</em>.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate <em>b</em>:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ <em>subtract 10/3 from both sides</em>

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

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3 years ago

A professional cyclist is training for the Tour de France. What was his average speed in kilometers per hour if he rode the 194

Lisa [10]

Start with the distance equation D=RT, then plug in numbers

194=R x 4.2, so all we have to do is divide 194 by 4.2.

Answer: 46.19 kph

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3 years ago

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yan [13]

Try logging out and then logging back in
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3 years ago

Round to the nearest tenth.

laila [671]

Answer:

8.2 units

Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

<u />

<u>Recall the Law of Cosines</u>

<u /> $a^2=b^2+c^2-2bc\cdot cos(A)$

<u>Identify angles and sides</u>

<u /> $m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

<u>Solve for side "a"</u>

<u /> $a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

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2 years ago

What does exlamitory mean

Pachacha [2.7K]

I think you mean exclamatory, which means a remark one expressing surprise or pain.

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3 years ago