Answer:
x = 40
Step-by-step explanation:
x + 10 = 2x - 30
40 = x
40 + 10 = 2(40) - 30
50 = 50
Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:length=20/4=5 cmthe ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:AC=4x and BD=3xusing Pythagorean theorem, the length of one side of the rhombus will be:c^2=a^2+b^2substituting our values we get:5²=(2x)²+(1.5x)²25=4x²+2.25x²25=6.25x²x²=4x=2hence the length of the diagonals will be:AC=4x=4×2=8 cmBD=3x=3×2=6 cmHence the area of the rhombus wll be:Area=1/2(AC×BD)=1/2×8×6=24 cm^2
Answer:
61/18
Step-by-step explanation:
Make the mixed fraction an improper fraction first. So instead of 1 1/3, it'll be 4/3.
Now in a rectangular prism, there's two of each congruent sides (three pairs in total).
You'll need to multiply (4/3)(3/4) by 2 because there's two of them.
This gives you (1)(2) which equals 2.
Next, take another set --> (4/3)(1/3)(2) again because there's two of them.
This gives you (4/9)(2) which equals 8/9.
Last, take the last set --> (3/4)(1/3)(2)
This gives you (1/4)(2) which equals 1/2.
Now that you have all the areas of the rectangles, add them all together.
2+8/9+1/2 which equals 61/18 inches squared.
Answer with explanation:
Equation of Linear Regression line is
y=1.14 x + 3.805
A line of regression is that line which passes through none of the points, few points or all the points in the two dimensional coordinate plane.It tells value of one variable when another variable is known.
for, x=30
y=1.14 × 30 +3.805
y=34.20 +3.805
y=38.005
y=38 (approx)
So, Ordered pair is , (30,38)
Option B
Answer:
x = 5.4
Step-by-step explanation:
Since A is the scale image of B,
4/3 = 7.2/x
Cross multiplying,
4x = 3*7.2
Dividing by4,
x = 3*7.2 / 4
x = 5.4
