Answer:
c = 69 and h = 51
Step-by-step explanation:
You will need two different equations here
use variable c as coffee and variable h as hot chocolate
c + h = 120
1.80c + 3.15h = 284.40
By moving variables, you can alter the first equation
h = 120 - c
Now insert this into the second equation
1.80c + 3.15(120 - c) = 284.40
Multiply
1.80c + 378 - 3.15c = 284.40
Subtract the c
-1.35c + 378 = 284.40
Subtract 378 from both sides
-1.35c = -93.6
Divide both sides by -1.35
c = 69
Then plug into the first equation
69 + h = 120
Subtract 69
h = 51
Answer:
the answer is the first one hope this helps
Step-by-step explanation:
Answer : Surface area of pyramid = 4406832 square cm.
Explanation :
Since we have given that
Side of square base = 1212 cm
Slant height of pyramid = 1818 cm
As we know that ,
Now,
Hence, surface area of pyramid = 4406832 square cm.
Answer - Width 23
Length - 26
W = Width
L + 3 = Length
Perimeter = 2L = 2W
98 = 2(W + 3) + 2W
98 = 2W + 6 + 2W
98 = 4W + 6
92 = 4W
W = 92/4
W = 23
Width is 23 inches
Length is 3 more -- 23 + 3 = 26
We can double check our work:
26 + 26 + 23 + 23 = 98 Inches
Best of luck,
The Artemis Wolf
A circle’s standard form of an equation is:
(x-h)^2 + (y-k)^2 = radius^2
Plug in h and k immediately because that is something you automatically know. H and k are derived from the center of the circle. The center of the circle is (h,k). Don’t get tripped up though, your center of a circle has negative coordinates. When you have two negatives, they become positive.
So now you have:
(x+4)^2 + (y-2)^2 = radius^2
So figure out what the radius is. Use the distance formula to find out. You have a change of 5 from -4 to 1 in x. You have a change of 2 from 2 to 4 in y. Distance formula has the distance as the square root of x distance squared and y distance squared. That would mean that the distance/radius is equal to the square root of (25 + 4). 5 squared is 25 while 2 squared is 4.
The radius of the circle is equal to the square root of (29). However, looking back at the circle equation the radius should be squared for the equation. Square root of 29 squared gets you 29.
Plug that in and you get:
(x+4)^2 + (y-2)^2 = 29
