Answer: 3 fluid ounces
Step-by-step explanation:
The family size bottle of shampoo holds 10 fluid ounces of sunscreen while the regular bottle holds 70% percent less.
To get the fluid ounces the regular bottle of shampoo will hold, we find 70% of 10 fluid ounces and them subtract from 10 fluid ounces. This will be:
= 70% of 10 ounces
= 7/10 × 10
= 7 fluid ounces.
Since the regular holds 70% less, week subtract 7 fluid ounces from 10 fluid ounces. This will be:
= 10 ounces - 7 ounces
= 3 ounces.
The regular bottle of shampoo holds 3 fluid ounces.
Triangles PQR and PSR are right triangles, with both QR = SR = 5 (since these are radii of the circle R).
TR is also a radius of the circle, so TR = 5, making PR = 4 + TR = 9.
Because PQR and PSR are right triangles, we can compute the length of the missing side, which will be equal. By the Pythagorean theorem,
PQ^2 + QR^2 = PR^2
PQ^2 + 5^2 = 9^2
PQ^2 = 56
PQ = √56 = 2√14
Then the perimeter of PQRS is
PQ + QR + RS + SP = 2√14 + 5 + 5 + 2√14 = 10 + 4√14
and so the answer is B.
Answer: C(14, -5)
Step-by-step explanation:
Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .
<u>Step-by-step explanation:</u>
We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,
Perimeter = 42 inches
⇒ 
width of printed area = x-3 & length of printed area = y-2:
area = 

Let's find
:
=
, for area to be maximum
= 0
⇒ 
And ,

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .
Y=sin(? when ?=0° the answer is 0
Y=0