Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle ADB
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle ADB
Triangle ADB is an equilateral triangle (has three equal interior angles and three equal sides)
step 2
Find the measure of the angle CBD
we know that
An isosceles triangle has two equal sides and two equal angles
In this problem triangle BDC is an isosceles triangle
Because
AB=BC ---> given problem
AB=BD ---> by equilateral triangle
BD=BC ----> by transitivity
therefore
we have
so
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
In the triangle BDC
substitute the given values
Answer:
x = 131,25 m
Step-by-step explanation:
Manufacture the collar of an airbag helmet takes 1,5 m of fabric
Manufacturer is going to make 250 collars
Company only has 65 % of the needed fabric
Total quantity of fabric needed is:
250 * 1,5 = 375 m
If they have 65 % that means that they need 35 % of the total quantity
then, by rule of three
375 ⇒ 100
x ?? ⇒ 35
x = ( 375 * 35)/100
x = 131,25 m
Answer:
7.6 x 10^-4
Step-by-step explanation:
Answer:
900
Step-by-step explanation:
None of the numbers beginning with 8 are palindromic. There aren't very many numbers that are that are also 5 digits long.
The first digit cannot be 0 (otherwise you will wind up with a 4 digit number)
The first digit can be 9 others.
The second digit can be all 10 digits
The third digit can also be all 10 digits.
The first digit and the 5th digit must be the same so the fifth digit does not add anything new or more palindromic numbers.
The 2nd and 4th must also be the same.
So the total number of palindromic numbers that are 5 digits long
9 * 10 * 10 = 900
There really aren't any more.
80908 is one example of a palindromic 5 digit number.
This week she hiked : 3 + 4 + 3 = 10 miles
last week she hiked : 8 miles
subtract ------------
2 miles more this week then last week