Answer:
66.7 in^3
Step-by-step explanation:
The volume of a triangular pyramid is given by
V = 1/3 B h
where B is the area of the base and h is the height
Calculate the area of the base. The base is a triangle
B = 1/2 bh where b is 8 and h is 5
= 1/2 (8) * 5
=20
V = 1/3 (20) 10
66.6666666
To the nearest tenth
66.7 in^3
Answer:
26,000,000 codes
Step-by-step explanation:
To find how many unique codes can be created, we just need to check how many possibilities there are for each letter or digit in the code.
Each letter has 26 possible values, and each digit has 10 possible values, so as we have 1 letter and 6 digits, the total number of unique codes are:
26 * 10 * 10 * 10 * 10 * 10 * 10 = 26,000,000 codes.
Answer:
If the kite has an 11 ft line attached to it and it casts an 8 feet shadow, we will have a rectangle triangle (see picture below).
To find the height x of the kite, we can apply the Pythagorean theorem.
x² = 11² - 8²
x² = 121 - 64
x² = 57
x =√57 Step-by-step explanation:
Somebody else had asked this question and they said it was 35 so your best bet is to go with 35
Answer:no, (5,1) is not a solution for the equation. (1/7,1) will be a solution for the equation.
Step-by-step explanation:
one way to do it is to plug 1 as the y-value into the first equation which does work but when you plug 5 as the x-value and 1 as the y-value in the second equation, it will get you to 41 which does not match so it will not be an equation. the other way to check is to solve by substitution which for the first equation, you divide both side by -5 and get y=1 then substitute y with 1 in the second equation and subtract both side by 6 and get 7x=1 and divide both side by 7 to get 1/7. the y-value match but the x-value don't so (5,1) is not a solution.
