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
#SPJ1
All the angles of a triangle add up to 180 degrees.
30+39+<4= 180
69+<4= 180
Subtract 69 on both sides.
<4= 111 degrees
<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.
111+<1= 180
<1= 69 degrees
I hope this helps!
<em>~kaikers</em>
Answer:
32 3/4 lb
Step-by-step explanation:
32 lb 12 oz = ? lb
Rewrite 12 oz as (12/16) lb.
Then:
32 lb 12 oz = 32 lb + (3/4) lb, or 32 3/4 lb
Answer
Answer would be 8 months if you start with 30 times 8 u will get 240 add the intial fee of $25 and you will have 265 so the answer is 8.
Step-by-step explanation:
Step-by-step explanation:
Answer:
The scale factor is -1/4.
Step-by-step explanation: