Answer:
7.07
Step-by-step explanation:
If the square has an area of 25 then its side lengths must be 5 by 5.
The diagonal of the square can be found using the Pythagorean theorem. Substitute a = 5 and b = 5.
5² + 5² = c²
25 + 25 = c²
50 = c²
√50 = c
7.07 =c
Answer:
5 small containers will be required and used.
This water is used to fill four and half small containers exactly.
4.5 small containers
Step-by-step explanation:
The rectangular container has dimensions 12*12*45 cm and the small container has dimensions 6*5*8 cm
The rectangular container with a square base is 2/3 full of water.The height is used up to 45*2/3= 7.5 cm
The volume of the water in the rectangular container with a square base is
12*12*7.5= 1080 cm³
The volume of the water in the smaller container is
6*5*8= 240 cm³
Number of smaller containers required = Volume of large container / Volume of smaller container
Number of smaller containers required =1080 cm³/240 cm³= 4.5
This water is used to fill four and half small containers exactly.
The solution 92 is how tall the basil plant becomes in two weeks after he starts recording its height.
There's 14 days in two weeks.
There's no equation shown, but I suppose it was like this:
5x+22=92
But once you insert 14 days in the equation, it'll become:
5(14)+22=92
70+22=92
92=92
If the two lengths are 7 and 3, then I believe the length of the hypotenuse would be approximately 7.62.
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.
