Split the surface area into geometric shapes as shown in the figure below.
Top part
The area of one triangle is
A₁ = (1/2)*(10 cm)*(4 cm) = 20 cm²
There are 3 of these triangles.
Vertical sides..
The area of one vertical side is
A₂ = (10 cm)*(6 cm) = 60 cm²
There 3 of them.
Bottom part
The triangle is equilateral with each side = 10 cm, and each angle = 60 deg.
The area is (from the Law of Sines) equal to
A₃ = (1/2)(10 cm)*(10 cm)*sin(60) = 43.3 cm²
The total surface area is
3A₁ + 3A₂ + A₃
= 3*20 + 3*60 + 4.3
= 283.3 cm²
Answer: The surface area is 283.3 cm²
The Answer is C because you just have to
Answer:
(-7,-4)
Step-by-step explanation:
There are 2 different ways to solve a system of equations and the one I'm going to show you will work for all systems. To start we will solve one of the equations for either X or Y it doesn't matter which one so I will choose the second one. Divide both sides by negative 4 and you will have the solved equation. x=1+2y Now we know what x equals so we can plug "1+2y" into the other equation where we see an X and we will get -8(1+2y)=24-8y and since we only have one variable now we can solve to get what Y is. The first step is distributing -8-16y=24-8y now lets put the Y's together on one side and the numbers together on the other -32=8y and just divide both sides by 8 to get the value of Y -4=y Now that we have Y we can plug -4 into either equation as Y to get the value of X I will use the second equation. -4x=-4-8(-4) and solve for X -4x=-4+32 -4x=28 x=-7 So now we have x and y and we can write it as out solution (-7, -4)
I hope this helps and please don't hesitate to ask if there is anything still unclear!
The company has to study 199 machines.
In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
It is given that;
Margin of error E = 0.7
Confidence interval 98% = 1-0.98 = 0.02
Standard deviation = 6 hours
Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²
Z alpha/2 = 1.645 at alpha = 0.1
Inputting these values into n we have that
[(1.645*6)/0.7]²
= 14.1²
= 198.81 is approximately equal to 199
The company has to study 199 machines.
To know more about standard deviation visit: brainly.com/question/475676
Answer:
x = 3
Step-by-step explanation:
6x + 7 = 9x - 2
-3x = -9
x = 3
