Answer:
x=16
Step-by-step explanation:
Actually this is trig I believe.
cos60=8/x
x=8/cos60=16
<span>- The triangular patches have an area of 63 cm</span>² (A1= 63 cm²)<span>.
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.
1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:
A2=LxW
L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)
2. When you substitute the values of L and W into the formula, you obtain:
A2=(27 cm)(21 cm)
A2=567 cm</span>²
<span>
3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:
A2/A1= 567 cm</span>²/63 cm²= 9 triangular patches
4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:
(9 triangular patches)(33 pieces of fabric)=297 triangular patches
<span>
How many of the patches can Leia cut from 33 pieces of the fabric?
The answer is: 297 triangular patches</span>
Answer:
S=H+2
Step-by-step explanation:
OK, so hailey is the variable H. And she is 2 years younger than her sister.
What is the age of her sister?
So we know it has to be, hailey's age + something? = age of her sister.
what is that +something? it's the number "2 years younger" so hailey's age; which is h, plus 2 is equal to her sister's age.
H+2=S
OK, why do we need to add 2? instead of minus two? Because hailey is 2 years younger than her sister, so you want hailey's age. If you were to minus 2, you'd be thinking that hailey is OLDER than her sister. Because if you want to her sister's age, you would have to SUBTRACT 2 because you are OLDER than her. So if you are younger than the sister, you would add to get your sister's age.
-3x+9 = -3(2x+3) + 3(x-4)+1
distribute
-3x+9 =-6x-9+3x-12+1
add like terms
-3x+9= -3x-20
add 3x to each side
9 = -20
there are no solutions because 9 does not equal -20
