Answer:
<u>240</u>
Since the expression is 4x + 40 we just substitute 50 in for x, so the new equation looks like this 4(50) + 40 which gets us 240.
Answer:
A=288, b=192, c=288, d=384.
Step-by-step explanation:
Each hour an employee harvests 48 pounds of food. So I simply multiplyed the hours by the food harvested.
Answer:
-4
Step-by-step explanation:
arranging in ascending order
-20,-20,-17,-14,-4,2,7,7,13
number of terms=9
middle term= (n+1)/2=(9+1)/2=5th=-4
Call those two angles x and y, where x is the larger one.
If they are complementary, then their sum equals 90°:
x + y = 90° (i)
Also, the ratio between x and y is 3 : 2, so
x 3
—— = ——
y 2
Product of the extremes = product of the means:
2x = 3y
2x – 3y = 0 (ii)
Now, just solve this system of equations:
x + y = 90° (i)
2x – 3y = 0 (ii)
Solve it with elimination. Since you want to know the value of the larger angle, which is x, then eliminate the variable y by doing the following:
Multiply the equation (i) by 3,
3x + 3y = 270° (iii)
2x – 3y = 0 (ii)
then add both equations, so you cancel out the variable y:
3x + 2x + 3y – 3y = 270° + 0
3x + 2x = 270°
5x = 270°
270°
x = ———
5
x = 54° <——— this is the measure of the larger angle.
I hope this helps. =)
Tags: <span><em>system of linear equations elimination method solve complementary angles algebra geometry</em>
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Option C
<u>ANSWER: </u>
The height of the prism is 4 cm, so option C is correct.
<u>SOLUTION:
</u>
Given, the total surface area of a square based prism is 96 cm2.
The base is 4.0 cm × 4.0 cm.
Let, the height of the prism be h.
We know that, square based prism will have two square faces and four rectangular faces.
Two square faces will have same dimensions and four rectangular faces will have same area.
Here those dimensions are 4cm and 4cm.
So, area of a square face = 4 x 4
= 16
Now, area of one rectangular face = height x width
= h x 4
= 4h
Now, we know that total surface area = 96
2 x square area + 4 x area of rectangular face = 96
2 x 16 + 4 x 4h = 96
32 + 16h = 96
16(2 + h) = 96
2 + h = 6
h = 4.
Hence, the height of the prism is 4 cm, so third option is correct.