a) The length of p is 21.4 cm
b) The measure of angle P is 45.6°
<h3>Trigonometry </h3>
From the question, we are to determine the length of p
From the <em>Pythagorean theorem</em>, we can write that
30² = 21² + p²
p² = 30² - 21²
p² = 900 - 441
p² = 459
p = √459
p = 21.4 cm
∴ The length of p is 21.4 cm
b)
Measure of angle P
Using SOH CAH TOA
cos P = 0.7
P = cos⁻¹(0.7)
P = 45.6°
Hence, the measure of angle P is 45.6°
Learn more on Trigonometry here: brainly.com/question/17831932
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Answer:
![\frac{\sqrt[4]{10xy^3}}{2y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B4%5D%7B10xy%5E3%7D%7D%7B2y%7D)
Step-by-step explanation:
I am assuming you want me to rationalize the denominator.
C= 2 (pi) r
d= 14 cm
d= 2r
r= 7 cm
c= 2 (pi) (7cm)
c= 43.98
hope that helps
Answer:
(x+1)² + y² = 36
Step-by-step explanation:
<u>Equation of a circle:</u>
(x-h)² + (y-k)² = r²
Center: (h,k)
Radius: r
Given a center of (-1,0) and a radius of 6, we have for our equation:
(x-(-1))² + (y-0)² = 6²
(x+1)² + y² = 36
Answer = 10=21
When you’re multiplying numbers with exponents with the same base (10 is the base) all you have to do is add the exponents
18 and 3 are the exponents we’re dealing with, so we add them and get 21. The base stays the same
10^18 x 10^3 = 10^21
Answer = 10=21
