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3 years ago

Use the net to find the lateral area of the prism.

Mathematics

2 answers:

Gnesinka [82]3 years ago

8 0

Answer:

The lateral area = 450 mm²

Step-by-step explanation:

The lateral area of any prism is equal to the areas of the sides faces

∵ The base of the prism is triangle

∴ It has 3 side faces

∵ The lengths of the side faces are 5 , 12 , 13 and their height is 15

∴ The lateral area = (5 × 15) + (12 × 15) + (13 × 15)

= 75 + 180 + 195 = 450 mm²

prisoha [69]3 years ago

8 0

Answer:

The correct answer option is 450 $mm^2$ .

Step-by-step explanation:

We are given a diagram of a prism with side measurements of 5 mm, 12 mm, 13 mm and a height of 15 mm and we are to find the lateral area of this prism.

We know that the formula of the lateral area of a prism is given by:

Lateral area of prism = perimeter × height

Substituting the given values in the formula to get:

Lateral Area = ( 5 + 12 + 13) x 15 = 450 mm^2

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51 divided by 4539 answer

Free_Kalibri [48]

Answer:

51/4539=.01123596

4539/51=89

Step-by-step explanation:

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3 years ago

Which represents a quadratic function?

irinina [24]

Answer:

Option 2 is the correct answer

Step-by-step explanation:

A quadratic function is a function in which the highest power to which the variable is raised is 2

1) f(x) = −8x3 − 16x2 − 4x

The given function is a cubic function because the highest power

to which the variable,x is raised is 3

2) f(x) = 3x²/4 + 2x - 5

The given function is a quadratic function because the highest power

to which the variable,x is raised is 2

3) f(x) = 4/x² - 2/x + 1

It can be rewritten as

f(x) = 4x^-2 - 2x^-1 + 1

The given function is not a quadratic function because the highest power to which the variable,x is raised is - 2

4) f(x) = 0x2 − 9x + 7

It can be rewritten as

f(x) = - 9x + 7

The given function is not a quadratic function because the highest power to which the variable,x is raised is 1

3 0

4 years ago

Read 2 more answers

A half-century ago, the mean height of women in a particular country in their 20s was 64.7 inches. Assume that the heights of

Ainat [17]

Answer:

99.5% of all samples of 21 of today's women in their 20's have mean heights of at least 65.86 inches.

Step-by-step explanation:

We are given that a half-century ago, the mean height of women in a particular country in their 20's was 64.7 inches. Assume that the heights of today's women in their 20's are approximately normally distributed with a standard deviation of 2.07 inches.

Also, a samples of 21 of today's women in their 20's have been taken.

Let $\bar X$ = sample mean heights

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean height of women = 64.7 inches

$\sigma$ = standard deviation = 2.07 inches

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample of 21 of today's women in their 20's have mean heights of at least 65.86 inches is given by = P( $\bar X$ $\geq$ 65.86 inches)

P( $\bar X$ $\geq$ 65.86 inches) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ $\geq$ $\frac{65.86-64.7}{\frac{2.07}{\sqrt{21} } }$ ) = P(Z $\geq$ -2.57) = P(Z $\leq$ 2.57)