Answer: 224 feet
Step-by-step explanation:
Each curtain is 48 inches long, and she wants to make 56 curtains.
However, the fabric store sells by the foot.
There are two ways to do this:
1) You can convert beforehand.
48 inches= 4 feet because 1 inch=1/2 foot.
Multiply 48 by 1/12 to find how many feet are in 48 inches.
= 48/12
=4
So 48 inches= 4 feet
Now, each curtain is 4 feet. There are 56 curtains to be made.
Now multiply by 4 to find how many feet are in 56 curtains.
56x4=224 feet.
Answer= 224 ft
Or: You can convert afterwards
48x56= how many inches in 56 curtains
= 2,688 inches
Then, convert to feet!
1 inch= 1/12 foot
2688 multiplied by 1/12:
=2688/12
=224 feet
Answer= 224 feet
Either way, you both get 224 feet.
Answer:
m∠DAB = 101°
x = 7
y = 12
Step-by-step explanation:
Properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
2). Opposite interior angles are equal in measure.
3). Consecutive interior angles are supplementary.
By the first property,
BC ≅ AD
2x + 4 = 3x - 3
3x - 2x = 4 + 3
x = 7
AB ≅ CD
2y + 10 = 3y - 2
3y - 2y = 10 + 2
y = 12
By second property,
m∠ABC = m∠ADC
2z + 15 = 3z - 17
3z - 2z = 15 + 17
z = 32
Therefore, m∠ADC = (3z - 17)°
= 3(32) - 17
= 96 - 17
= 79°
By third property,
m∠ADC + m∠DAB = 180°
79° + m∠DAB = 180°
m∠DAB = 180° - 79°
m∠DAB = 101°
Answer:
10y
Step-by-step explanation:
9y is equal to y+y+y+y+y+y+y+y+y.
If you add y to that you get (y+y+y+y+y+y+y+y+y)+y, which is equal to 10y.
In the given above, we have the decimal number, 0.75757575.. where digits 7 and 5 are repeated. The reduced form for decimal numbers with repeated digits is to divide the number by 9 (number of 9 depends on the repeating digits). This is as follows,
f = 75/99
We may divide the numbers ins the denominator and numerator by 3 to come up with the reduced form which is equal to 25/33.
Answer: 25/33