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Question 1
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a² + b² = c²
9² + 14² = c²
c² = 81 + 196
c² = 277
c= √277
c = 17cm (Rounded to the nearest whole number)
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Ans: The Slanted height is 17cm (Answer C)
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Question 2
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Lateral area of the cone = πrl
1080π = π(60)l
l = 1080π ÷60π
l = 18.0cm
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Ans: The slanted height is 18.0cm (Answer D)
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To solve this equation, we have to use the distributive property to multiply 5y through the parentheses.
-45y - 15y^2 = 13
-15y^2 - 45y - 13 = 0
15y^2-45y-13=0
<span>y=<span><span>32</span>+<span><span><span><span>130</span><span>√2805</span></span><span> or </span></span>y</span></span></span>=<span><span>32</span><span><span><span>−1</span>30</span><span>√<span>2805, when you use the quadratic formula.</span></span></span></span>
One of the unknown angles (let's called it n) has a complement (meaning their sum adds up to 90 degrees) and the other angle is 8 times the unknown angle (8n)
With all this information, you should have the equation:
n + 8n = 90
To solve, combine like terms to get:
9n = 90
Divide by 9 on both sides to isolate the variable n.
n = 10
Now we plug back in to find our angle measurements. The first angle, n, is 10 degrees. The second angle, 8n, is 8 * 10 which is 80; the second angle is 80 degrees.
Answer:
Step-by-step explanation:
H
Answer:
B. -10.0
Step-by-step explanation:
-10.0² = -100
thus= -10.0 is the closest to -102 (square root)
