All categories

2 years ago

Find the cardinality of the following set. A = { 12 , 14 , 16 , 18 , 20 }

Mathematics

1 answer:

madam [21]2 years ago

6 0

Answer:

Step-by-step explanation:

Because they are using the number line: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

You might be interested in

Find the value of 7xº - (6x)".

docker41 [41]

7x - 1 + 6x - 1 = 180
13x - 2 = 180
13x = 182
x = 14

6 0

2 years ago

Read 2 more answers

Somebody please help!!!!!!!!

Jlenok [28]

Answer:

I think the answer is b^2=8^2-4^2

Step-by-step explanation:

The equation is A^2+B^2=C^2

C^2-A^2=B^2

C^2-B^2=A^2

C is the hypotenuse. You know what a is and all you have to do is show the equation

3 0

3 years ago

Read 2 more answers

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

2 years ago

What is the greatest common factor of 39 and 6

yanalaym [24]

Answer:

the greatest common factor is 3

5 0

3 years ago

Read 2 more answers

15.12 is what percent of 12?

Llana [10]

Answer:

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\begin{array}{ccc}15.12&-&p\%\\\\12&-&100\%\end{array}\qquad\text{cross multiply}\\\\\\12p=(15.12)(100)\\12p=1512\qquad\text{divide both sides by 12}\\p=126$

$\bold{METHOD\ 2}\\\\p\%=\dfrac{p}{100}\\\\p\%\ of\ 12\ is\ equal\ to\ 15.12:\\\\\dfrac{p}{100}\cdot12=15.12\\\\\dfrac{12p}{100}=15.12\qquad\text{multiply both sides by 100}\\\\12p=1512\qquad\text{divide both sides by 12}\\\\p=126$

6 0

3 years ago