Answer:
The leg is 8 cm long
Step-by-step explanation:
An isosceles right triangle has the length of its hypotenuse and opposite equal
Let us call the length x
From Pythagoras’ , the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have ;
x^2 + x^2 = (8 √2)^2
2x^2 = 128
x^2 = 128/2
x^2 = 64
x= √64
x = 8 cm
Ok so I uploaded the picture of how to do the promblem step by step so you know :)
Answer:
The percent of the area under the density curve where
is more that 3 is 25 %.
Step-by-step explanation:
Since the density curve is a linear function, the area under the curve can be calculated by the geometric formula for a triangle, defined by the following expression:
(1)
Where:
- Area, in square units.
- Base of the triangle, in units.
- Height of the triangle, in units.
The percent of the area is the ratio of triangle areas under the density curve multiplied by 100 per cent, that is:


The percent of the area under the density curve where
is more that 3 is 25 %.
Answer:
see the explanation
Step-by-step explanation:
we know that
A shape with two opposite angles equal to 105° could be a quadrilateral, a parallelogram, a rhombus or a trapezoid
Because
<em>A quadrilateral</em>: A quadrilateral is a four-sided polygon. The sum of the interior angles in any quadrilateral must be equal to 360 degrees
so
If the quadrilateral have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

<em>A parallelogram</em>: A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite angles are congruent and consecutive angles are supplementary
so
If the parallelogram have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

<em>A rhombus</em>: A Rhombus is a flat shape with 4 equal straight sides. A rhombus looks like a diamond. All sides have equal length. Opposite sides are parallel. Opposite angles are congruent and consecutive angles are supplementary
so
If the Rhombus have two opposite angles equal to 105°, then the measure of each of the other two congruent interior angles must be equal to

<em>A trapezoid</em>: A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel
so
If the trapezoid have two opposite angles equal to 105°, then the sum of the other two interior angles must be equal to

1 quart = 2 pints.
This means a 4 pint container is 2 quarts.
To find the price for 1 quart divide the price by 2:
12.04 / 2 = $6.02 per quart.