Initial cash on hand : $200.00
Ticket cost : $87.96
T-shirt cost per piece: $30.00
The first thing Staci needs to do is to deduct the cost of the ticket from her money.
$200 - 87.96 = $112.04
Stacy has the extra amount of 112.04 to purchase t-shirts. Since, each t-shirt costs $30. To know the number of shirts she can buy, she must divide the difference by 30.
$112.04 / $30 = 3.73
Based from the quotient, Stacy can buy 3 t-shirts.
$30 * 3 = $90 total cost of the tshirts.
$112.04 - 90 = $22.04
After buying the ticket and 3 tshirts, Staci has an excess of $22.04 from her $200.
Answer:
Can not be determined (CNBD)
Step-by-step explanation:
In the given triangle ACI,
M is the mid point of CI, So we have
CM= MI
also AM=AM ( reflexive property )
So far we have two pairs of corresponding sides are congruent in ΔCAM and ΔIAM
To prove that ΔCAM≅ΔIAM using SSS (side side side ) congruence theorem
we should have AC =AI , but it is not given,so we can not say that AC=AI
To prove that ΔCAM≅ΔIAM using SAS (side angle side ) congruence theorem
we should have ∠AMC=∠AMI, but it is not given,so we can not say that ∠AMC=∠AMI
We can not determine that ΔCAM is congruent to which triangle
Hence the answer is Can not be determined (CNBD)
Answer:
We have the function:
r = -3 + 4*cos(θ)
And we want to find the value of θ where we have the maximum value of r.
For this, we can see that the cosine function has a positive coeficient, so when the cosine function has a maximum, also does the value of r.
We know that the meaximum value of the cosine is 1, and it happens when:
θ = 2n*pi, for any integer value of n.
Then the answer is θ = 2n*pi, in this point we have:
r = -3 + 4*cos (2n*pi) = -3 + 4 = 1
The maximum value of r is 7
(while you may have a biger, in magnitude, value for r if you select the negative solutions for the cosine, you need to remember that the radius must be always a positive number)
Answer:
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A(- 2, 5) and (x₂, y₂ ) = B(3, 8)
d = 
= 
= 
=
Answer:
17.15
Step-by-step explanation:
