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LenKa [72]
4 years ago
10

20 PTS! Help! How do you solve the following:

Mathematics
1 answer:
Sonja [21]4 years ago
8 0

Answer: 3x^2-x+2

Explanation:

The area of a triangle A can be calculated as A=(height)x(base)/2

We know the height is 6x.

We know A=9x^3-3x^2+6x

So the equation becomes (using |AC| as the base length):

9x^3-3x^2+6x = \frac{6x \cdot |AC|}{2}\\\frac{9x^3-3x^2+6x}{3x}=|AC|\\\frac{3x^2-x+2}{1}=|AC|\\|AC|=3x^2-x+2

The base is 3x^2-x+2

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Malcolm buys a 5/6 pound of black beans and a 3/4 pound bag of pinto beans. How many pounds of beans does Malcolm buy in all?​
artcher [175]

Answer:

1 7/12

Step-by-step explanation:

5/6+3/4=10/12+9/12 = 19/12 or 1 7/12

4 0
3 years ago
The figures below show a pattern.
yarga [219]

Answer:

The number of blocks in the nth figure will be (3n + 1).

Step-by-step explanation:

See the attached figure where few arrangements are there.

The number of blocks in the first arrangement is (3 + 1)

Now, the number of blocks in the second arrangement is (3 × 2 + 1)

Again, the number of blocks in the third arrangement is (3 × 3 + 1)

So, the pattern says that the number of blocks in the nth arrangement will be (3 × n + 1) = (3n + 1) (Answer)

7 0
4 years ago
The width of a rectangular swimming pool is 12 meters less than the length, and the perimeter is 72 meters. Find its dimensions
Elis [28]

Answer:

The dimensions are 24 and 12 meters.

Step-by-step explanation:

W + L + W + L = 72   perimeter

(L-12) + L + (L-12) + L = 72

4L - 24 = 72

4L = 72 + 24 = 96  ====>  L = 96%2F4 = 24.

8 0
4 years ago
Read 2 more answers
The GPA's at RHS are Normally distributed with a mean of 2.8 and a standard deviation of 0.7. Let G = a random student's GPA.
Alja [10]

The value of  P(G<2.5) is 14.23%.

What is observation?

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. Using scientific tools to perceive and record data is another way that observation may be used in science.

The $z$-score for this observation of 2.30 is:

Z= (2.3-2.8)/0.7=-1.71

The table shows a value of 0.8577 , and because this z-score is negative, this is the proportion greater than a GPA of 2.30. So the proportion less than 2.30 is 1-0.8577 =0.1423 . Expressing it mathematically we have:

$$\begin{aligned}P(X \leq 2.7) & =P(Z \leq-1.07) \\& =1-P(Z \geq-1.07) \\& =1-P(Z \leq 1.07) \\& =1-0.8577 \\& =0.1423=14.23 \%\end{aligned}$$

To learn more about proportion visit:brainly.com/question/28041973

#SPJ1

7 0
1 year ago
10 students per teacher. Write two ratios to represent this information
alisha [4.7K]
10 to 1
20 to 2 or something like that
8 0
4 years ago
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