Answer:
Part A) The area total of the design is 
Part B) The total area of the four large shaded triangles is 
Part C) The cost to purchase the material to make the triangles for the quilt will be 
Step-by-step explanation:
Part A) Find the area total of the design
The area total of the design is a square
so
To find the length side of the square design multiply the number of squares by 3 in
Part B) Find the total area of the four large shaded triangles
the area of the four large triangles is equal to
![A=4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
we have that
substitute
![A=4[\frac{1}{2}(6)(6)]=72\ in^{2}](https://tex.z-dn.net/?f=A%3D4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%286%29%5D%3D72%5C%20in%5E%7B2%7D)
Part C) How much will it cost to purchase the material to make the triangles for the quilt ?
To find the cost multiply the area of each design of four large triangles by 30 and then multiply by $0.08 per square inch
The cost is equal to
9514 1404 393
Answer:
- x² = y + 16
- 4y - 1 = 7x
- (5, 9)
Step-by-step explanation:
Writing equations from words is mostly a matter of understanding what the English words mean.
If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:
x² = y + 16 . . . . the first equation
The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...
4y -1
This is equal to the first number (x) multiplied by 7, so ...
4y -1 = 7x . . . . the second equation
__
These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...
(x, y) = (5, 9)
The proportionality for the table values would be an increasing value of 1.5y for every X.
Answer:
111°
Step-by-step explanation:
Let the centre of the circle be C
mRQ=157 (marked)
The angle at the centre of a circle standing on an arc is twice any angle at the circumference, standing on the same arc. So <SCR=2(SQR)=2(46)=92. mSR=<SCR=92
All the arc measure add up to 360 so:
mSQ+mRQ+mSR=360
mSQ+157+92=360
mSQ=360-249=111
This answer is correct. The absolute value of a number is its distance from 0, and we are looking for an absolute value of 1. Both -1 and 1 are 1 whole number away from 0.
