Answer: 5-6i
The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.
Answer:
steps below
Step-by-step explanation:
1. use ruler to draw a segment of 4 units AB
2. center the compasses needle at A and draw arc with radius of 5 and intersect with another arc centered at B with radius of 3 at point C
3. center the compasses needle at B and draw arc with radius of 4.5 and intersect with another arc centered at A with radius of 2.5 at point D
4. connect BC, CD and AD to form quadrilateral ABCD
Six women push grocery carts up a ramp as shown.
2 carts weigh 50 lbs. each.
4 carts weigh 20 lbs. each.
How much work was done?
_____________ ft.-lbs. (total work)
Note: This is the answer if you are talking about a triangle because you didn't specify that.
A=30°
I'm going to assume this is a triangle so if I'm wrong tell me in the comments. If it is a triangle all the angles should add up to 180 degrees. We already know that one is 90 so the other two angles have to add up to 90 (since 90+90=180). C is twice as much as A. So 1/3 of 90 is A and 2/3 of 90 is C. <em>A would be 30°</em>. In summary A=30° B=90° C=60°. Hopefully I understood your question correctly and this helped you. Also sorry it took a while to answer.
You could find the surface area using two different methods, but coming out with the same answer.
Method One: This method involves using an equation that helps finding the surface area for a square pyramid.
The equation: A+(1/2)ps=SA; we should break down what the letters stand for. A=Area of the base; the area of the base is 10×10=100 P= perimeter of the base; 10×4=40 S= Slant height;14
Let's put these values into the equation and find the surface area. 100+(1/2)(40)(14)=100+(20)(14)=100+280=380 The surface area is 380 in².
Method Two: The picture below shows how to lay out the square pyramid so you can find the area of each the shapes, then add them up. There are four triangles and a square.
Triangles: We use the equation (1/2)BH; let's plug the values in. 1/2(10)(14)=1/2(140)=70; there are four triangles, so let's multiply by four to find the area of all four of them triangles together. 70×4=280
Square: It's the side length squared. 10²=100; let's add everything together.
The four triangles+the square= the surface area
280+100=380
So, the surface area is 380 in².