Answer: (8x) + (y/7)
The word 'product' means multiplication and the word 'quotient' means division. Only (8x) + (y/7) multiplies 8 and x while diving y and 7.
<span>96 degrees
Looking at the diagram, you have a regular pentagon on top and a regular hexagon on the bottom. Towards the right of those figures, a side is extended to create an irregularly shaped quadrilateral. And you want to fine the value of the congruent angle to the furthermost interior angle. So let's start.
Each interior angle of the pentagon has a value of 108. The supplementary angle will be 180 - 108 = 72. So one of the interior angles of the quadrilateral will be 72.
From the hexagon, each interior angle is 120 degrees. So the supplementary angle will be 180-120 = 60 degrees. That's another interior angle of the quadrilateral.
The 3rd interior angle of the quadrilateral will be 360-108-120 = 132 degrees. So we now have 3 of the interior angles which are 72, 60, and 132. Since all the interior angles will add up to 360, the 4th angle will be 360 - 72 - 60 - 132 = 96 degrees.
And since x is the opposite (or congruent) angle to this 4th interior angle, it too has the value of 96 degrees.</span>
Step-by-step explanation:
<u>Step 1: Solve using the first point</u>
<em>(2, 28)</em>


<u>Step 2: Solve using the second point</u>
<em>(-1, -5)</em>


<u>Step 3: Solve using the third point</u>
<em>(4, 220)</em>


<u>Step 4: Solve using the fourth point</u>
<em>(-2, -20)</em>


<u>Step 5: Combine the first and fourth equations</u>
<u />




<u>Step 6: Solve for c in the second equation</u>



<u>Step 7: Substitute d with the stuff we got in step 5</u>



<u>Step 8: Substitute d and c into the first equation</u>
<u />





<u>Step 9: Substitute a, b, and c into the third equation</u>





<u>Step 10: Find a using b = 2</u>



<u>Step 11: Find c using a = 3 and b = 2</u>




<u>Step 12: Find d using b = 2</u>




Answer: 
Answer:
t=2.08 seconds.
Step-by-step explanation:
Well, in this example, H(t)=-0.6cos(2pi/2.5)t+1.5 should be equal to 1.2. If calculated, -0.6cos(0.8pi)t=1.2-1.5 which is equal to -0.6cos(0.8pi)t=-0.3, then cos(0.8pi)t=0.5. The value of cosine in terms of radians when it is equal to 0.5 is pi/3. So, cos(0.8pi)t=cos(pi/3). If simplified, (0.8pi)*t=5pi/3. pi's are cancelled out and t is calculated as 2.08333... If rounded to the nearest hundredth it is 2.08.
Answer:
W = 2.5d + 62
Step-by-step explanation:
The calf weighed 62 pounds when they were born. This gives us a base of 62 pounds - the calf cannot weigh less than 62 pounds and it does on day 0. On each day , the calf gains 2.5 pounds. We can times the number to days by 2.5 to get the gain from day 0. We can add these two values together to get the total current weight of the calf.