Answer:
840
Step-by-step explanation:
Lets split the shape in 2 shapes which gives us 2 rectangular prisms
1st shape is the one stcking upward: 12*5*6=360
2nd shape: (we must subtract 5 from 15 because we used that for the other shape and hat wouldn't give us the correct answer) 10*8*6=480
480+360=
840
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: <em>Tara thinks correctly.</em>
Step-by-step explanation:
<em>Let's calculate the average value in sample A:</em>
<em>(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ </em><em>6 hours</em>
<em>Let's calculate the average value in sample B:</em>
<em>(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ </em><em>6 hours</em>
<em>So, Tara is correct in saying that the mean is 6.</em>
Set up the equation like 4b+61=0, subtract 61 from both sides, and that'll be 4b=-61. Divide both sides by 4. b=15.25
