Answer:
Step-by-step explanation:
In an isosceles triangle, two sides and two angles are equal.
The shortest side of an isosceles triangle is 2x+5 inches. The 2 longest sides are 3 inches longer. This means that the length of each of the longer sides is
2x + 5 + 3 = 2x + 8 inches
The formula for determining the perimeter of a triangle is expressed as
Perimeter = a + b + c
Where a, b and c are the sides of the triangle.
The perimeter of the triangle is 21 inches. Therefore, the equation that can be used to find the length of each side of the triangle is
2x + 5 + 2x + 8 + 2x + 8 = 21
6x + 21 = 21
Answer:
60%
Step-by-step explanation:
Total number of people in the survey = 600
And 360 said their favorite was pepperoni.
Percentage of those who said pepperoni was their favorite will be
No. Of those who said their topping was pepperoni divided by the total number of people in the survey multiplied by 100%
That’s
360/600 x 100%
0.6 x 100%
60%
B. 350, 351, 352, 353, 354, 355, ‘356’, 357, 358, 259, 360
Answer:
x = 14.04°
Step-by-step explanation:
Find x using the tangent ratio in the right triangle, that is
tan x = 
= 
= 
Hence
x = 
(0.25) = 14.04°
When you cut off for squares of x side length, the area of the base of the box is [10 - 2x]^2 and the height ot the box is x, then the volumen of the box is:
(10 - 2x)^2 * x = 48
(100 - 40x + 4x^2)*x = 48
100x - 40x^2 + 4x^3 = 48
4x^3 - 40x^2 + 100x - 48 = 0
x^3 - 10x^2 + 25x - 12 = 0
Using Ruffini you can get 3 as a solutio:
3^3 - 10(3^2) + 25(3) - 12 = 27 - 90 + 75 - 12 = 0
Factoring you get (x - 3) (x^2 -7x + 4) = 0
Then, you can apply the quadratic formula to x^2 -7x + 4 to find the other two roots.
They are x = 0.6277 and x = 6.3723.
x = 6.32723 is not valid because 10 - 2x < 0.
Then there are two real solutcions for the side of the squate: 3 and 0.6277 (althoug the second one is a very low box)
