4x^2 + 20x + 25 = 0
4x^2 + 10x + 10x + 25 = 0
2x(2x + 5) + 5(2x + 5) = 0
(2x + 5)(2x + 5) = 0
Answer:
19, 58 and 103
Step-by-step explanation:
Okay. Here we need to convert whatever statements we have into a mathematical expression.
Firstly, let’s give the smallest angle a value of x. Where do we now go from here? The measure of one angle is 1 degree greater than 3 times the size of the smallest angle. This means the value of the second angle is 3x + 1
Now for the third angle, the question stated that the third angle is thirteen degrees less than twice the measure of the second angle. The value for this is: 2( 3x + 1) - 13
Now when we add all these angles, surely, we get a result equal to 180.
x + 3x + 1 + 2(3x + 1) - 13 = 180
4x + 1 + 6x + 2 - 13 = 180
10x - 10 = 180
10x = 190 and x = 19.
Now the measure of the other angles are as follows:
3x + 1 = 3(19) + 1 = 57 + 1 = 58
2(3x + 1) - 13 = 2(58) - 13 = 103
Answer:
A cube has a lateral area of 676 square feet. ... The square base of the pyramid has side lengths of 32 centimeters. ... A rectangular prism has dimensions x units, 2x units, and x + 8 units. ... The triangular bases of a triangular prism have three congruent sides, each measuring 10 ... The height of the prism is 15 centimeters.
Step-by-step explanation:
A quadrilateral has four sides
Answer:
A. 162
B. 128
Step-by-step explanation:
We have wooden cubes of 2 in of side.
A. If the box is 18 x 12 x 6 in., in the base (18 x 12), we can fit 54 cubes:
As the height is 6 in, we can fit 6/2=3 layers of 54 cubes in the box, se we can fit 162 cubes:
B. If we have a box with measures 16 x 9 x 9 in., and the base is 16x9 in, we can fit (16/2)*(9/2)=8*4=32 cubes per layer.
Note that in the 9 in side we can only put 4, as we need 10 in to fit 5 cubes (we can not cut them).
In the same way, as we have 9 in of height, we can fit 4 layers of 32 cubes, so this is a total of 128 cubes:
