Look into my attachment
in rhombus ABCD, ∠AOB = 90°
Look at ΔAOBthe sum of inner angles = 180°
∠BAO + ∠AOB + ∠ABO = 180°
2x + 1 + 90 + 2x + 5 = 180°
4x + 96 = 180
4x = 84
x = 21
Only the first one works
y = 3(-1)-2 = -5
y = -(0) -6 = -6 not -2
This is a substitution problem...
Answer: 76 Sodas and 40 hot dogs
Step-by-step explanation:
Let S and H represent the numbers of Sodas and Hot dogs.
We are told that:
S + H = 116
We also see that:
H = S - 36
==
Take the second equation's value for H (S - 36) and use it in the first:
S + H = 116
S + (S-36) = 116
2S = 152
S = 76
and therefore H = S - 36, or 40.
76 + 40 = 116 [Checks]
76 Sodas and 40 hot dogs
Answer:the selling price if payment is made in cash is $395
Step-by-step explanation:
The list price of the computer software program is $500
A dealer offers the computer software program at a 19% discount.
She will give an extra 3% discount if paid in cash. This means that the total discount in percentage if a customer paid in cash would be
19 + 3 = 21%
The value of the discount would be
21/100 × 500 = 0.21 × 500 = $105
Therefore, the selling price if payment is made in cash would be
500 - 105 = $395
Height of cylinder = 
ft
Diameter of cylinder = 
times its height = 
ft
Now Radius = half of diameter = 
ft
Now we have to find the Volume of cylinder
formula for Volume of cylinder is
Volume of cylinder = 
let's plug the values
Volume of cylinder = 
Plug the values in calculator
= 11852.9657 cubic feet
Round off the answer to two decimal places(i.e. hundredth)
= 11852.97 cubic feet
