What is 3 1/3 x 2 1/4 ?

2 answers:

8 0

$3 \frac{1}{3} \times 2 \frac{1}{4} \\ = \frac{(3 \times 3) + 1}{3} \times \frac{(2 \times 4) + 1}{4} \\ = \frac{9 + 1}{3} \times \frac{8 + 1}{4} \\ = \frac{10}{3} \times \frac{9}{4} \\ = \frac{90}{12} \\ = \frac{15}{2}$
The answer is 15/2 = 7.5

swat323 years ago

6 0

You need to change the mixed number into a improper fraction:

$3\dfrac{1}{3}=\dfrac{3\cdot3+1}{3}=\dfrac{10}{3}\\\\2\dfrac{1}{4}=\dfrac{2\cdot4+1}{4}=\dfrac{9}{4}\\\\3\dfrac{1}{3}\cdot2\dfrac{1}{4}=\dfrac{10}{3}\cdot\dfrac{9}{4}\\\\=\dfrac{5}{3}\cdot\dfrac{9}{2}=\dfrac{5}{1}\cdot\dfrac{3}{2}=\dfrac{15}{3}=7\dfrac{1}{2}=7.5$

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If a triangle has side lengths of 5.6 yards, 7.1 yards, and x yards, find the range of possible values of x.

ANTONII [103]

Hi!

To find the range of possible values of x, we have to side 1 from side 2...

7.1 - 5.6 = 1.5

The smallest side x could be is 1.5.
Now add side 1 to side 2

7.1 + 5.6 = 12.7

The biggest side x could be is 12.7

So x could be anywhere from 1.5 to 12.7 (or, 1.5 < x < 12.7)

Hope this helps! :)

7 0

3 years ago

I need help finding if it’s either SOH, CAH or TOA and the indicated side of the triangle, thank you!

Brilliant_brown [7]

Answer:

$\huge\boxed{IJ \approx 2.01}$

Step-by-step explanation:

In order to find the side mentioned (IJ), we need to use SOH CAH TOA.

SOH CAH TOA is an acronym to help us remember what sin, cos, and tan mean. It stands for:

Sin = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tan = Opposite / Adjacent

Since we know the measure of angle K (42) and we know one of the sides, we can use this to find the missing length.

Since the side given to us is the hypotenuse, and we're looking for the side opposite of the angle (IJ), the only possible one to use would be SIN as it includes Opposite and Hypotenuse.

Our equation is now this: $\text{sin(42)} = \frac{x}{3}$