Answer:
height=100feet
Step-by-step explanation:
perimeter of a rectangle=p=500 feet
p=2a+2b equation 1
a=height
b=base
we have: b/a=3/2
so a=(2*b)/3
in equation 1 we have:
500=2*((2*b)/3)+2*b
so we have
500=(4*b)/3 + 2*b
500=(4b+6b)/3
500=(10b)/3
500*3=10b
b=(500*3)/10
b=150 feet =base
so
a=(2*150)/3=100 feet = height
For 100 people, we will need 100/25=4 times the listed quantities.
Saussage rolls = 50*4 = 200 saussage rolls
Sandwiches = 75*4 = 300 sandwiches
Samosas = 25*4 = 100 samosas
Answer:
65.8 ft
Step-by-step explanation:
The number of strings required to tie each vertex to the other three will be ...
(4)(3)/2 = 6
Those strings will be perimeter strings plus two diagonal strings. The lengths of the perimeter strings are given as 12 ft and 7 ft. The lengths of the diagonal strings can be found using the Pythagorean theorem.
d² = 12² +7² = 144 +49 = 193
d = √193 ≈ 13.892
Then the total length of all strings is ...
L = 2(12.0 +7.0 +13.9) = 65.8 . . . . feet
The artist will need 65.8 feet of string.
Answer:
a. 
b. 
Step-by-step explanation:
In numerical expressions we write numbers with the mathematical symbols ( i.e. '+', '-' etc )
a. Given phrase,
Three fifths of seven,




b. One sixth the product of four and eight,




Answer:
The answer is choice B: 22.52 units.
Step-by-step explanation:
We use the Pythagoras's theorem which says for a right triangle with sides
and hypotenuse
:

In our case


So we solve for 

Which is choice B.