1/2bh
1/2b4 = 18
b4= 36
b= 9 yards
This question requires creating a few equations and working through them step-by-step. Now, first let's give each of the shapes a variable: let's say that the blue shape is a, the orange shape is b and the green shape is c.
1. We can technically create six formulas for the magic square, with three for sum of the rows and three for the sum of the columns, however the smartest way to approach this is to observe whether there are any obvious answers that we can get.
We can see in row 2 that there are three of the same shape (a) that add to 57. This makes it very simple to calculate the value of the shape.
Since 3a = 57
a = 57/3 = 19
2. Now we need to find a row or column that includes a and one other shape; we could choose either column 2 or 3, so let's go with column 2. Remembering that the blue shape is a and the orange shape is b:
2a + b = 50
Now, given that a = 19:
2(19) + b = 50
38 + b = 50
b = 12
3. We can now take any of the rows or columns that include the third shape (c) since we already know the values of the other two shapes. Let's take column 1:
a + b + c = 38
19 + 12 + c = 38
31 + c = 38
c = 38 - 31
c = 7
Thus, the value of the blue shape is 19, the value of the orange shape is 12 and the value of the green shape is 7.
Answer:
The angle between the two blades is 120 degree.
Step-by-step explanation:
number of blades = 3
The blades are equally spaced.
The total angle around a circle is 360 degree.
So, the angle between the two blades is given by
Answer:
Step-by-step explanation:
Mariam is making two types of paper lanterns. One type of flashlight needs 0.75 square feet of cardboard, while the other needs 1.15 square feet. If she made 5 of each type of flashlight, it means that
For the first type flashlight that she made, she used 0.75 × 5 = 3.75 square feet of cardboard.
For the second type of flashlight she made, she used 1.15 × 5 = 5.75 square feet of cardboard.
Total amount of cardboard used is
3.75 + 5.75 = 9.5 square feet
Mariam has 12.75 square feet of paper left over. Assuming the total square feet of cardboard that she used is x, then x = amount of cardboard used + the amount that is left over. It becomes
x = 9.5 + 12.75 = 22.25 square feet
She used 22.25 square feet
If complex coefficients are allowed, the answer is 3.
If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.
Root -5 is real, so that is 1 root, and degree 1.
Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.
Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.
Answer: The least possible degree is 5 with real coefficients.
