Answer:
9/16
Step-by-step explanation:
Then angle D is 67 as all sides and measurements are equal on a parallelogram.
Answer:
77.5%
Step-by-step explanation:
The question gives the first laptop price, the first discount and the subsequent discount. This is therefore how we will go about obtaining the total percentage discount;
Price of New Laptop = $1500
New Price after first discount = $1500 - (10% of $1500) = $1500 - $150 = $1350
Then an additional 75% discount gives: $1350 - (75% of $1350) = $1350 - $1012.50 = $337.50
Now, the total discount is the difference in the first laptop price ($1500) and this current price: $1500 - $337.50 = $1162.50
The total percentage discount =
× 100% =
× 100% = 77.5%
Circumference of a circle is c=2πr
r=14in
-> c=2*14*π=28π
3 rotations->trace length=3c=3*28π=84*π inch≈263.89 inch≈22 feet
Answer:
Answer in simplified form is:
(sinФ - cosФ)² + (sinФ + cosФ)² = 2
Step-by-step explanation:
Given,
(sinФ - cosФ)² + (sinФ + cosФ)²
This can be simplified as:
(sin²Ф + cos²Ф - 2sinФcosФ) + (sin²Ф + cos²Ф +2sinФcosФ)
We know that : sin²Ф + cos²Ф = 1
So,
( 1 - 2sinФcosФ) + (1 + 2sinФcosФ)
or 1 + 1 -2sinФcosФ + 2sinФcosФ
or 2
Hence we got (sinФ - cosФ)² + (sinФ + cosФ)² = 2