2 pieces at 2 3/4 feet is 2 x 2 foot 9 inches = 5 foot 6 inches
1 piece that is 3.5 feet is 3 feet 6 inches
2 pieces that are 1 5/8 feet are 2 x 1 foot 7 1/2 inches = 3 feet 3 inches
I think there should be more to the question. If you are looking for the best combination to buy it would be two 7 foot boards
Answer:
y=x and y=1
4 x
Step-by-step explanation:
We know,
'Direct Variation function' is the function where two quantities vary directly i.e. variables x and y are said to be directly varying if 'y=kx' where k is the constant of variation.Thus, from the options, we see that the function,
y=x
is varying directly with the constant of variation i.e. k = 1.
y= 1
4 x
is also varying directly with constant k=1
4
Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
