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GuDViN [60]
2 years ago
15

What is the value of B for the following triangular prism?

Mathematics
1 answer:
damaskus [11]2 years ago
6 0

Step-by-step explanation:

\frac{1}{2} (10)(12) \\  \frac{1}{2} (120) \\ 60 {cm}^{2}

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A rectangular prism must have a base with an area of no more than 27 square meters. The width of the base must be 9 meters less
den301095 [7]

Answer:

The maximum height of the prism is 12\ m

Step-by-step explanation:

Let

x------> the height of the prism

we know that

the area of the rectangular base of the prism is equal to

A=L*W

A\leq 27\ m^{2}

so

L*W\leq 27 -------> inequality A

W=x-9 ------> equation B

L=W+6 -----> equation C

Substitute equation B in equation C

L=(x-9)+6

L=x-3 ------> equation D

Substitute equation B and equation D in the inequality A

(x-3)*(x-9)\leq 27-------> using a graphing tool to solve the inequality

The solution for x is the interval---------->[0,12]

see the attached figure

but remember that

The width of the base must be 9 meters less than the height of the prism

so

the solution for x is the interval ------> (9,12]

The maximum height of the prism is 12\ m

8 1
3 years ago
Read 2 more answers
Choose the correct graph of the given system of equations. y + 2x = −1 3y − x = 4 graph of two lines that intersect at the point
ELEN [110]

The system of equations has one solution (-1, 1)

<h3>Graph of system of linear equations </h3>

From the question, we are to graph the given system of equations.

The given system of equation is

y + 2x = −1

3y − x = 4

The graph of the given system of equations is shown below.

From the graph, we can observe that the solution to the given system of equation is given by two lines that intersect at the point (-1, 1).

Hence, the system of equations has one solution (-1, 1)

Learn more on Graph of linear equations here: brainly.com/question/14323743

#SPJ1

7 0
1 year ago
2/3(4w+9) Please help
vfiekz [6]
Change the y to w the app didnt have the letter w so i just had to choose another letter

8 0
3 years ago
Running times for 400 meters are Normally distributed for young men between 18 and 30 years of age with a mean of 93 seconds and
Luda [366]

Answer:

C. 45 and 141 seconds

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 93 seconds

Standard deviation = 16 seconds

99.7% of running times are approximately between:

By the Empirical rule, within 3 standard deviations of the mean, so between 3 standard deviations below the mean and 3 standard deviations above the mean

3 stnadard deviations below the mean

93 - 3*16 = 45 seconds

3 standard deviations above the mean

93 + 3*16 = 141 seconds

The correct answer is:

C. 45 and 141 seconds

3 0
3 years ago
[5x+6]*{(3%*5.0x)*5(7*8c)}
Diano4ka-milaya [45]

Answer:

210x²c+252xc

Step-by-step explanation:

3 0
2 years ago
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