with the pythagorean theorem
using the formula of the quadratic equation
the length cannot be negative, therefore x=7
length of the shorter leg is: 7ft
length of the longer leg is: 3+3(7)= 24ft
length of the hypotenuse is: 4+3(7)= 25ft
Answers:
- x = 3
- CD = 21
- DE = 16
- CE = 21
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Explanation:
The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.
CE = CD
16x-27 = 4x+9
16x-4x = 9+27
12x = 36
x = 36/12
x = 3
This x value then leads to the following:
- CD = 4x+9 = 4*3+9 = 12+9 = 21
- DE = 7x-5 = 7*3-5 = 21-5 = 16
- CE = 16x-27 = 16*3-27 = 48-27 = 21
We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.
Answer:
75 students
Step-by-step explanation:
first write a ratio of the students asked to students dislike
40:30, 40 to 30, or 40/30
now simplify the ratio
4/3
now she asked 40 students, so we have to find out the unit rate
so we have to flip the fraction to 3/4 and then divided the top and bottom by 4
0.75/1
now multiply the top and bottom by 100
75/100
75 students
You should place 4 red beads and 10 yellow beads into the container. This satisfies both, the ratio and the amount of beads in each container
Answer:
t = 1.025c + 5.99
Step-by-step explanation:
Recall : general for of a linear equation is given by :
y = mx + c
Given the following :
Item cost = c
Shipping charge = $5.99
Tax on purchases = 2.5%
Total cost, t
t = c + tax + shipping cost
Tax on purchase : 2.5% * item cost ; 0.025c
Shipping = $5.99
Hence,
Total cost, t = c + 0.025c + 5.99
t = 1.025c + 5.99
