Answer:
The angle is 84 degrees
Step-by-step explanation:
Let's call the angle by 'x'.
the supplement of x is equal to 180-x, and the complement of x is equal to 90-x.
If the supplement is sixteen times the complement, we can write the following equation:
(180 - x) = 16 * (90 - x)
180 - x = 1440 - 16x
16x - x = 1440 - 180
15x = 1260
x = 84
The angle is 84 degrees.
Paige is ahead of kate. It dosen't say she is behind anyone or last in the line. Carlos is not first in line. Kate cannot be first because someone is ahead of her. And lisa is last. So the answer is definitely paige. Hope i helped. Have a nice day.
so we have a 60-30-90 triangle (top one)
so since we know 6 is x (the side on the right angle and 60 degrees)
b is 2x or 2(6) = 12
a is x√3 = 6√3
for C I need to use a 45 45 90 triangle
Since b is 12 and its x√2 to find x we should write it as
x√2 = 12
√2 √2 divide by √2
x = 12/√2 but we must rationalize the denominator
12/√2 times √2/√2 = 12√2/2 and that's c
Given:
36 jazz CDs ; 48 country CDs
Store as many CDs as possible on each shelf of a cabinet, putting the same number of CDs without mixing jazz and country Cs on the same shelf.
We need to find the factors of 36 and 48.
1 x 36 ; 2 x 18 ; 3 x 12 ; 6 x 6
1 x 48 ; 2 x 24 ; 3 x 16 ; 4 x 12
There are 3 shelves for jazz CDs. Each shelf contains 12 CDs.
There are 4 shelves for coutnry CDs. Each shelf contains 12 CDs.
She needs a total of 7 shelves with 12 CDs each.
Answer:
The total cost of the party (C), can be expressed as;
C=10 n+30, where n is the number of children
Step-by-step explanation:
Step 1
We can use the expression below to calculate the total cost of the party as shown;
C=F+(V×n)
where;
C=total cost of the party
F=fixed cost to design party
V=cost per child
n=number of children at the party
In our case;
F=$30
V=$10
n=n
replacing;
C=30+(10×n)
C=30+10 n
The total cost of the party (C), can be expressed as;
C=10 n+30, where n is the number of children