Answer:
7/10
Step-by-step explanation:
You can either use a calculator, or make both fractions have the denominator of 35 and change the two fractions to be,
and
then divide.
Hope that helps and have a great day!
9514 1404 393
Answer:
a = 6, b = 12, c = 6, d = 6√3
Step-by-step explanation:
The two triangles are the "special" triangles.
The 45-45-90 triangle has side lengths in the ratios 1 : 1 : √2.
The 30-60-90 triangle has side lengths in the ratios 1 : √3 : 2.
Then ...
c : a : 6√2 = 1 : 1 : √2 ⇒ c = a = 6
and ...
a : d : b = 1 : √3 : 2 ⇒ d = 6√3 and b = 12 . . . (since a=6)
The lengths are ...
a = 6, b = 12, c = 6, d = 6√3
Answer:
1232 m^3 to nearest whole number.
Step-by-step explanation:
The volume of a cone = 1/3 π r^2 h where r = radius of base and h = height.
The radius of the base = 1/2 * 14 = 7m.
The height can be found by using the Pythagoras theorem:
25^2 = h^2 + 7^2
h^2 = 625 - 49 = 576
h = √576 = 24m
So the volume = 1/3 π * 7^2 * 24
= 1231.504 m^3.
Answer:
The sides are 24cm, 7cm, and 25cm
Step-by-step explanation:
3x+x-1+3x+1=56 <---- First we combine like terms (the 1's cancel out)
7x/7=56/7 <--- Divide by 7 to isolate the variable
x=8 <--- Now that we've solved for x we need to plug it back into each side
3(8)=24
(8)-1=7
3(8)+1=25
24+25+7=56 <---- Make sure it all adds up to 56
Hope this helps :)