Answer:

Step-by-step explanation:
To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.
<em>The Pythagorean theorem</em> states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.
If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:
a is the height, b is the base, and c is
the hypotenuse.
To obtain the value of the hypotenuse

To find the value of the lenght of the diagonal d across the square, we have:
Where a = b = 20
Substituting the values

Round the answer to 2 decimal places

Answer:
28 questions answered.
Step-by-step explanation:
40(2/5) is 16 questions.
40-16 is 24 questions left.
24(.5) is 12 questions.
16+12 gets you 28 questions.
Answer:
vertex and x= -b/2a = 0
second point, when x=1, y=3
third point the mirror of the second point over the vertex
Step-by-step explanation:
Do as described
Answer:
24.11
Step-by-step explanation:
2001 ÷ 83
83×2= 166
200-166=34 bring down the 1
341 ÷ 83
83×4= 332
341-332=9 add a decimal and bring down a 0
90÷83
90-83=7 bring down another 0
70÷83=0 brind down another 0 since 70 cannot be divided by 83 and have a whole number
700÷83
83×8=664
700-664=36
right now you have 24.108
round to the nearest tenth
24.11
Answer:
The family's average rate of travel for the day was 59.0 MPH.
Step-by-step explanation:
From 10:15AM to 4:45PM, they travelled a distance of 383.5 miles and a total of 6 hours and 30 minutes.
There are 60 minutes in an hour. 30 minutes translates into 1/2 an hour or .5
So, 6.5 hours and a total distance of 383.5 miles.
Velocity (MPH) = Distance (in miles) / Time (in hours)
MPH means Miles Per Hour
Variables:
Velocity (MPH) = x
Distance (in miles) = 383.5
Time (in hours) = 6.5
Plug in the variables into the formula
x = 383.5 / 6.5
Divide
x = 59.0 MPH