a cylinder has a radius of 4x+2 and a height of 5x+4. which polynomial in standard form best decribes the total volume of the cylinder? use the formula V=Pier^2 for the volume of a cylinder.
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Answer:
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68°
64°
17°
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The measure of x in the given figure is equal to 17°
What are vertical angles?
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines.
In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
They are also called vertically opposite angles as they are situated opposite to each other.
Given is figure, where two lines intersects each other and forms angles, we need to find the measure of x, if angle 6 = 4x and angle 7 = 2x + 34
Since, the angles 6 and 7 are vertical angles,
Therefore, the angles are equal,
Therefore,
4x = 2x+34
2x = 34
x = 17
Hence, the measure of x is equal to 17°
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Answer:
17°
Step-by-step explanation:
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Using a tape diagram, we find that 90% of 180 is 162.
A tape diagram, also known as a bar model, is a visual representation used to solve mathematical problems. To find 90% of 180 using a tape diagram, follow these steps:
Step 1: Draw a tape diagram with a bar that represents the whole value, which is 180 in this case.
Step 2: Divide the bar into 10 equal segments, representing 100% of the value.
Step 3: Shade 9 out of the 10 segments to represent 90% of the value.
Step 4: Determine the value represented by the shaded segments. Since 9 out of 10 segments are shaded, the value is 9/10 of 180.
Step 5: Calculate the result. 9/10 of 180 is (9/10) * 180 = 162.
Therefore, using a tape diagram, we find that 90% of 180 is 162. This visual representation helps understand the concept of percentages and provides an intuitive way to solve the problem.
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Also, you could make 90 a decimal. 0.90. 0.90 times 180 is 162.
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I started off by changing 4 1/5 into 21/5 to make the division easier.
Final answer:
To divide the mixed number 4 1/5 by the fraction 2/3, first convert the mixed number to an improper fraction. The operation becomes (21/5) ÷ (2/3). By multiplying 21/5 by the reciprocal of 2/3, which is 3/2, we find that the result is 63/10. When converted back to a mixed number, 63/10 is expressed as 6 3/10.
Explanation:
The task is to do the operation 4 1/5 divided by 2/3 and expressing the answer as a mixed number in simplest form. To divide fractions, we usually multiply by the reciprocal. First, convert 4 1/5 to an improper fraction which gives us 21/5.
- Take the reciprocal of 2/3, we get 3/2.
- Multiply 21/5 by 3/2: (21/5) * (3/2) = 63/10.
- Now, convert this improper fraction back to a mixed number. 63 ÷ 10 = 6 Remainder 3. Hence, the mixed number is 6 3/10.
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Answer:Total molding cost is $197.20.
Step-by-step explanation:
Since we have given that
Length of oil painting frame = 22 inch
Width of oil painting frame = 30 inch
Width for molding = 4 inches
So, Length after molding would be
4+22+4 = 30 inches
Width after molding would be
4+30+4 = 38 inches
So, Perimeter of molding would be
Cost per inch = $1.45
So, Total molding cost would be
Hence, Total molding cost is $197.20.
Final answer:
The Millers would need to purchase 104" of molding for their 22" by 30" painting frame. At $1.45 per inch, the cost for the molding would be $150.80 before tax.
Explanation:
The cost of the molding can be calculated by first determining the total length of the molding needed and then multiplying it by the price per inch. To find the total length of the molding, we need to add the lengths of all sides of the painting frame. Since the frame is a rectangle, it will have two sides that are 22" long and two sides that are 30" long. So the total length of the molding is: 2*(22" + 30") = 104". Now, we multiply this length by the cost of the molding per inch. So, the total cost of the molding is: 104" * $1.45 = $150.80. Thus, the cost of the molding for the 22" by 30" oil painting frame using 4" Wide molding will be $150.80 before tax.
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Explanation:
Start out by dividing all terms by 3 to put the equation in PROPER Slope-Intercept Form:
Now, starting from the y-intercept of [0, 4], you do by either moving two blocks north over three blocks west or two blocks south over three blocks east [west and south are negatives].
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The number of times Jana will roll a 2 will be 13.
What is Probability?
Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Jana has a number cube numbered 1 to 6.
When Jana rolls the number cube 1 time, there is an equal chance of getting each number.
Probability that the number is 2 = 1/6
So, there is a 1/6 probability that the number rolled is 2.
Jana plans to roll the cube 78 times.
So the number of times Jana will roll a 2 = 78 × (1/ 6) = 13
Hence the number of times that Jana will roll a 2 in the number cube is predicted as 13.
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78/6 = 13 is probability.
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