Answer:
67.38°
Step-by-step explanation:
The diagonals of a rhombus intersect at their midpoints and make a right angle. They also divide the angles of the rhombus in two equal angles.
So, to find the acute angle of the rhombus, we can use the tangent relation of half this angle in the small triangle made when drawing the diagonals:
tan(angle/2) = 4 / 6
tan(angle/2) = 0.666
angle/2 = 33.69
angle = 67.38°
So the acute angle of the rhombus is 67.38 degrees.
Please check the image attached for better comprehension.
We want to find the greatest common factor of two given expressions.
The GCF is 15*a*b.
The two expressions are:
45*a^3*b^2 and 15*a*b
To find the greatest common factor, we can rewrite the first expression to get:
45*a^3*b^2 = (3*15)*(a^2*a)*(b*b)
Now remember that we can perform a multiplication in any order we want, so we can rearrange the factors to write this as:
(3*15)*(a^2*a)*(b*b) = (15*a*b)*(3*a^2*b)
Then we have:
45*a^3*b^2 = (15*a*b)*(3*a^2*b)
So we can see that 15*a*b is a factor of 45*a^3*b^2, then the GCF between 15*a*b and 45*a^3*b^2 is just 15*a*b.
If you want to learn more, you can read:
brainly.com/question/1986258
Answer:
Step-by-step explanation:
You have a right triangle here. The way to solve for a missing side in a right triangle is to use Pythagorean's Theorem. You can't use right triangle trig because you don't have an angle. Pythagorean's Theorem is, in this case,
and
and
so
which simplifies down to

Answer:
500 ML
Step-by-step explanation:
for every 1 liter, it is 1,000ML
so 1 L / 2 is 500ML
and 500 on your beaker is located in between 600 and 400
Hope this helps :)