Think of the space created with the diagonal line like a triangle. There are three sides. the longest side, the diagonal line is 32 inches. one of the other sides is 15.7 inches. Using Pythagoras theorem, we know that a^2 + b^2 = c^2, where c is the longest side of the triangle (32inches) and either a or b is 15.7inches. let's say that a is 15.7 inches. if we substitute these values we just assigned to a and c into Pythagoras' theorem above, we get 15.7^2 +b^2 = 32^2. we can simplify this to 246.49 + b^2 = 1024. We then subtract 246.49 from both sides of the equation to get b^2 = 777.51. we then square root both sides of the equation to get b = 27.88 (rounded to 2 decimal places). because b is the width of the TV, the width of the TV is 27.88 inches.
PEMDAS - Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction
First, we do the exponents.
5² - 4 · 6 + 11
= 25 - 4 · 6 + 11
Next, multiplication (according to PEMDAS).
= 25 - 24 + 11
Although PEMDAS says addition then do subtraction, please note that this is totally interchangeable. For the sake of this problem, subtraction will be done first.
= 25 - 24 + 11
= 1 + 11
Finally, addition.
= 12
This is your answer. Happy studying~
V=(1/3)hpir^2
d/2=r
2.75/2=1.375
to make volume 4 times more
multiply height by 4 or multiply radius by 2
example
find current cup volume
V=(1/3)2.75pi1.375^2=2.2057291666666pi
if we times height by 4
3.5*4=14
V=(1/3)14pi1.375^2=8.822916666666666666pi
if we times radius by 2
1.375*2=5.5
V=(1/3)3.5pi5.5^2=8.822916666666666666pi
we can show it is 4 times by
8.822916666666666666pi/2.2057291666666pi= 3.99999 close enough
dimentions are
diameter of 2.75in and height of 11in or
diameter of 5.5in and height of 3.5 in
Answer:
$8 ; 66 cents
Step-by-step explanation:
Given that:
Worth of penny, dimes and Nickel in cents and dollars
Nickel, n = 5 cents = $0.05
Dimes, d = 10 cent = $0.1
Penny, p = 1 cent = $0.01
Multiplying the number of each coin with its respective value ;
386(0.01) + 58(0.05) + 19(0.1)
$3.86 + $2.9 + $1.9
= $8.66
Changing it to dollar ,
$8.66 dollars = 8 dollars ;
$0.66 = 66 cents
