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White raven [17]
1 year ago
15

Based on the picture..Find the area in terms of xFind the perimeter in terms of x

Mathematics
1 answer:
Vlad1618 [11]1 year ago
6 0

The area of a rectangle is given by the product of its dimensions.

If this rectangle has a length of 2x + 7 and a width of x + 4, its area is:

\begin{gathered} \text{Area}=\text{length}\cdot\text{width} \\ \text{Area}=(2x+7)(x+4)_{} \\ \text{Area}=2x^2+8x+7x+28 \\ \text{Area}=2x^2+15x+28 \end{gathered}

The perimeter is the sum of all side lengths, so we have:

\begin{gathered} \text{Perimeter}=(2x+7)+(x+4)+(2x+7)+(x+4) \\ \text{Perimeter}=6x+22 \end{gathered}

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The answer is 15and not the others
6 0
3 years ago
Jennifer began an exercise program in which she ran 4 blocks the first day and then two blocks more than the previous day for ea
Andrews [41]

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84 blocks.

Step-by-step explanation:

If you are adding 2 to each day (which already has 4) in a 2 week period (14 days) than you would have to time 2(14) and 4(14) and add them. Thus would make the answer 84 blocks.

5 0
3 years ago
A cylindrical glass is 40% full of liquid. If the base of the glass has a radius of 5 inches and the height of the glass
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5 0
3 years ago
A machining operation produces bearings with diameters that are normally distributed with mean 3.0005 inches and standard deviat
padilas [110]

Answer:

5%

Step-by-step explanation:

The 68-95-99.7 rule for the Normal distribution is an empirical rule that remind us the percentages of data that falls between the mean ± 1, ± 2 and ± 3 standard deviations.

That is to say, if the mean is m and the standard deviation s, roughly speaking 68% of the data falls between  [m-s, m+s], 95% between [m-2s, m+2s] and 99.7% between [m-3s, m+3s].

Since the mean is 3.0005 and the standard deviation is s=0.0010, 2s=0.0020, 95% of the data should fall between [3.0005-0.0020, 3.0005+0.0020] and 5% outside this interval. So <em>around 5% of total production will be scrap</em>.

 

7 0
3 years ago
Riangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
DochEvi [55]

Answer:

Step-by-step explanation:

1. Part A: We know parts of our triangle since the cosine of X is given.  XY = 2.5 and XZ = 5.59 and since it is a scale factor of 2, ABC is most likely similar to XYZ by angle measures and the special relationship is, that they are all equal, because with a scale factor of two, all the ratios in triangle ABC will simplify to the ratios of triangle XYZ. 

Part B: Because triangle XYZ was dilated with a scale factor of 2 to create triangle ABC, just multiply the sides by 2 to get the sides AC and CB, which is AB = 2 times XY and CB = 2 times XZ. 

2. We can first find the hypothenuse by adding squaring 8 and 6 to have 100. Then square root it to have 10 as our hypothenuse

Now we can use sin x = 6/10 and cos y = 6/10

3. Since this is using the angle of elevation, we can say that the length of side AB is perpendicular from the perspective of angle of elevation, and the hypotenuse's length is known, so in this case, we can use a sine or cosecant ratio. 

Sin(40 Degrees) = AB/100

AB = 100 x sin(40 Degrees) ft

AB ~ 64.28 ft which can be rounded to 64 ft

The triangle I drew was a right triangle with points A, B, and C. 40 is on point C while 100 ft was on the hypotenuse. The kite was near A and the ground was between segment B and C.

4. Since the angle and Adjacent line is given and it is asking us to find H which is the opposite, we well try and be using Tangent = opposite/adjacent 

500 ft Multiply by tan39 = 405 (Estimated after rounding to nearest hundreth 404.892).

To be honest, I didn't know so much about these questions but this might give a better understanding and if I'm wrong then I apologize.

7 0
2 years ago
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