Factor completely 81x8 − 1. (9x4 − 1)(9x4 + 1) (3x2 − 1)(3x2 + 1)(9x4 − 1) (3x2 − 1)(3x2 + 1)(9x4 + 1) (3x2 − 1)(3x2 + 1)(3x2 +
1 answer:
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Answer:
ST = 12.2
Step-by-step explanation:
See the attached diagram of the triangle.
Here, Δ RST, Δ RSV and Δ STV all are right triangles.
If we assume that, ST = x and SR = y, then
From Δ RSV and Δ STV we get,
SV² = RS² - RV² = ST² - VT²
⇒ y² - 4.2² = x² - 10.3²
⇒ x² - y² = 88.45 .......... (1)
Now, from Δ RST, we have
ST² + SR² = RT²
⇒ x² + y² = (10.3 + 4.2)² = 210.25 .............. (2)
Now, adding equations (1) and (2) we get,
2x² = 298.7
⇒ x² = 149.35
⇒ x = 12.2 (Rounded to the nearest tenth}
So, ST = 12.2 (Answer)
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Perimeter of rectangle = 192 in
Length = x
Width =
We need to find the length and width.
The formula used is:
Putting values and finding value of x
So, we get x = 64
The length of rectangle x = 64
The width of rectangle = =
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches