Answer:
The diagonal is 39.54 in
Step-by-step explanation:
First we use the Pythagorean theorem to calculate the length of the diagonal of the base.
If the base measures 13 inches by 35 inches then the diagonal is:

Now we use the Pythagorean theorem again to find the diagonal of the cube.
If the height of the box is 13 inches and the diagonal of the base is 37.34 inches then the diagonal of the cube will be

The baton will fit in the box if it is placed in the direction of the diagonal of the cube, since:
39.54\ in > 38 inches
Answer:
Answer is 12-19 = -7
Step-by-step explanation:
12- 19 you can break 19 into 12 +7
then
it is easy to find 12-12 = 0
Now subtracts 0 - 7 =- 7
then
break 7 into 3 + 4
then
0 - 3 = -3
-3 - 4 = -7
So ,
12 - 19 = -7
Answer:
y = -1/6x + 0
Step-by-step explanation:
Using the equation of line
y_2 - y_1 / x_2 - x_1 = y - y_1 / x_1
Using the information we are provided with
( -3, 0.5)(3 , -0.5)
y_1 = 0.5
x_1 = -3
x_2 = 3
y_2 = -0.5
-0.5 - 0.5 / 3- (-3) = y - 0.5 / x - (-3)
-0.5 - 0.5 / 3 +3 = y - 0.5 / x + 3
-1 / 6 = y - 0.5 / x + 3
Cross multiply
-1(x + 3) = 6(y - 0.5)
Open the brackets
-x - 3 = 6y - 3
-x - 3 + 3 = 6y
-x + 0 = 6y
Divide through by 6 to get y
Following the eqn y = mx + C
-x + 0 / 6 = 6y / 6
y = -x + 0 / 6
We can separate it
y = -x / 6 + 0/6
y = -1/6x + 0
Therefore, the equation of the line is
y = -1/6x + 0
Answer: If every quadrilateral has at least two congruent sides, then an obtuse angle is an quadrilateral.
Step-by-step explanation:
A counterexample is basically the opposite of a conditional statement. So the Hypothesis is true but the conclusion is false. An obtuse triangle has different size sides and congruent sides means same size sides. Hope this helps!!!! Let me know if you need further explanation.
The answer would be $61.32 because there are 1,000 milliliters in one liter so 36.5•1.68=$61.32