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4 years ago

Need help with question number 11. Can’t figure it out.

Mathematics

1 answer:

sergejj [24]4 years ago

3 0

Answer:

A. 5/18 x 13/2

Step-by-step explanation:

To convert a mixed number to a fraction, multiply the whole number by the denominator, then add that to the numerator.

3x5=15, add 3 and you get 18.

6x2=12, add 1 and you get 13.

18/2 divided by 13/2 is not an option, so if you flip which number is on top for the first fraction an multiply, it would be the same as if you were to divide it.

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The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.

taurus [48]

Answer:

$A\approx 28^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that area of triangle ABC is 3√2 square inches.

$\text{Area}=\frac{1}{2}\text{Base}\times \text{height}$

We know that area of triangle an be found using trigonometry as:

$\text{Area}=\frac{1}{2}\times c\times h$

$\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)$

$3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)$

$3\sqrt{2}=9\cdot \text{sin}(A)$

$9\cdot \text{sin}(A)=3\sqrt{2}$

$\text{sin}(A)=\frac{3\sqrt{2}}{9}$

$\text{sin}(A)=\frac{\sqrt{2}}{3}$

Now, we will use inverse sine to find the value of angle A as:

$A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})$

$A=28.1255057^{\circ}$

$A\approx 28^{\circ}$

Therefore, the measure of angle A is approximately 28 degrees.

3 0

3 years ago

Help I need help in number 1 and 2 plz asap

bonufazy [111]

1.
C= 3.14 * 9
C= 28.26
The circumference is 28.3 cm......

2.
C=3.14 * (2*13)
C=3.14 * 26
C= 29.14
The circumference is 19.1 cm....

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Answer:

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Step-by-step explanation:

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