For example 1ft = 12in so 12 is the number that you are going to multiply so just multiply 25×12 and that is your answer
Answer:
<h2>3(cos 336 + i sin 336)</h2>
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336)
3x-x+2=4
<span>P = t + r + s
P - r - s = t + r - r + s - s
P - r - s = t</span>
Answer:
7.08
Choice A
Step-by-step explanation:
From the right-angled triangle we have been given the following;
One angle - 33 degrees
The hypotenuse - 13 units
We are required to determine the length of the side, opposite the angle, marked x.
Using the Mnemonic; SOHCAHTOA
The sine of an angle is; (opposite side)/(hypotenuse)
Therefore;
sin 33 = x/13
x = 13 * sin 33
x = 7.080
Answer:
Part a) The expression is 
Part b) Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00
Step-by-step explanation:
<u><em>The complete question is</em></u>
A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.
Part a) Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams
Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain
step 1
Convert grams to ounces
Remember that
To convert grams to ounces divide by 28
The unit price is
Let
x ----> the number of ounces of paprika
y ----> the cost of buying and shipping x ounces of paprika
5%=5/100=0.05
![y=3.09x+(3.09x)0.05\\y=3.09x[1+0.05]\\y=3.2445x](https://tex.z-dn.net/?f=y%3D3.09x%2B%283.09x%290.05%5C%5Cy%3D3.09x%5B1%2B0.05%5D%5C%5Cy%3D3.2445x)
Part b) For x=2.5 oz
substitute in the equation
therefore
Customer cannot buy 2.5 ounces of paprika and have it shipped for less than $8.00
