Answer:
Area of nail's head = 28.26 millimeter² (Approx.)
Step-by-step explanation:
Given:
Head of nail is circular
Diameter of nail's head = 6 millimeter
Find:
Area of nail's head
Computation:
Radius of nail's head = Diameter / 2
Radius of nail's head = 6 / 2
Radius of nail's head = 3 millimeter
Area of circle = πr²
Area of nail's head = πr²
Area of nail's head = (22/7)(3)²
Area of nail's head = (22/7)(9)
Area of nail's head = (3.14)(9)
Area of nail's head = 28.26 millimeter² (Approx.)
Hello there! If you know basic division, then you know that 8/2 is 4. With 75 calories being in 2 ounces of yogurt, all we have to do is multiply by 4 to get the amount of calories in 8 ounces of yogurt, because 2 * 4 is 8. Plus for this scenario, whatever we do to one part, we must do to the other. Let's solve. 75 * 4 is 300. There. There are 300 calories in 8 ounces of yogurt.
a + b = 88 <span>
<span>
</span><span>ab = y
</span><span>
</span><span>a = 88 - b
</span><span>
</span><span>y = (88 - b)*b
</span>
<span>y = -b^2 + 88b
</span><span>
</span><span>Take the derivative and set equal to 0
</span><span>
</span><span>y' = -2b + 88 = 0
</span><span>
</span><span>2b = 88
</span>
<span>b = 44 </span></span>
<span><span>a=44</span></span>
<span><span> both numbers are 44</span></span>
The value of y from the given trig expression is pi/3 rad
<h3>Trigonometry identity</h3>
These identities are expressed in terms of sine, cosine and tangent
Given the expression

Expand sin(x+y)
sin(x+y) = sinxcosy + cosxsiny
Compare both equations
cosy = 1/2
y = arccos(1/2)
y = 60 degrees
y = pi/3 rad
Hence the value of y from the given trig expression is pi/3 rad
Learn more on trig function here: brainly.com/question/24349828
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7. 335*0.2=67
8. 4.5/0.6=7.5
9. A
Hope this helps!