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makvit [3.9K]
3 years ago
14

What is the common multiple of 6 and 15?

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0
There are an infinite number of common multiples.

The smallest one is  30 , and every multiple of  30
is another one.
You might be interested in
The sides of a rhombus with angle of 60° are 6 inches. Find the area of the rhombus.
ehidna [41]
1. Check the drawing of the rhombus ABCD in the picture attached.

2. m(CDA)=60°, and AC and BD be the diagonals and let their intersection point be O.

3. The diagonals:
     i) bisect the angles so m(ODC)=60°/2=30°

     ii) are perpendicular to each other, so m(DOC)=90°

4. In a right triangle, the length of the side opposite to the 30° angle is half of the hypothenuse, so OC=3 in.

5. By the pythagorean theorem, DO= \sqrt{ DC^{2}- OC^{2} }=  \sqrt{ 6^{2}- 3^{2} }=\sqrt{ 36- 9 }=\sqrt{ 27 }= \sqrt{9*3}= 
=\sqrt{9}* \sqrt{3} =3\sqrt{3}  (in)

6. The 4 triangles formed by the diagonal are congruent, so the area of the rhombus ABCD = 4 Area (triangle DOC)=4*\frac{DO*OC}{2}=4 \frac{3 \sqrt{3} *3}{2}==2*9 \sqrt{3}=18 \sqrt{3} (in^{2})

6 0
3 years ago
Solve a quadratic equation by factoring j2–30j=0
Lina20 [59]

Answer:

j = 0  or j = 30

Step-by-step explanation:

j² - 30j = 0

Factorise j out of both terms on the left side.

j (j-30) = 0

Apply zero product rule.

j = 0  or j-30 = 0

Find the value of j.

j = 0  or j = 30

4 0
3 years ago
Translate and solve: 3x less than 2 times the sum of 2x and 1 is equal to the sum of 2 and 5. X=
Sauron [17]

Answer:

3 x = 2 = 2 x = 1 = 2 = 5 X =

Step-by-step explanation:

Use the given functions to set up and simplify

5X.

im pretty sure this is right, butt if its not im sorry <3

6 0
3 years ago
What number can you add to √5 to get a rational number?
svetlana [45]

Only -√5 will do the trick. Otherwise you're stuck with the irrational √5.

4 0
3 years ago
Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show you
jasenka [17]
<h3>Answer:   x = 19.7  (choice C)</h3>

=========================================================

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

  • opposite = vertical leg = 8
  • adjacent = horizontal leg = unknown
  • hypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

3 0
2 years ago
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