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2 years ago

a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle

Mathematics

1 answer:

Solnce55 [7]2 years ago

4 0

Answer: 6 cm

Step-by-step explanation:

Use equation for area of triangle

A=a*h/2

a*h=2A

a=2A/h

where a represents base of triangle

h represents height of triangle.

h=12.8 cm

A=38.4 cm²

a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm

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Answer:

The total weight of the three fishes is 8lb and 13oz

Step-by-step explanation:

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2 years ago

What are the possible polynomial expression for dimensions of the cuboid whose volume is 12y2 + 8y -20

bogdanovich [222]

Answer:

The answer is below

Step-by-step explanation:

The volume of a cuboid is the product of its length, height and breadth. It is given by:

Volume = length × breadth × height

Since the volume is given by the expression 12y² + 8y - 20. That is:

Volume = 12y² + 8y - 20 = 4(3y² + 2y - 5) = 4(3y² + 5y - 3y -5) = 4[y(3y + 5) -1(3y + 5)]

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2 years ago

Read 2 more answers

M2/n2 is equivalent to _____.

tankabanditka [31]

Answer:

$\frac{m^2}{n^2}$ is equivalent to $m^2 \cdot n^{-2}$

Step-by-step explanation:

Using exponent rules:

$a^{-n}=\frac{1}{a^n}$

Given the expression:

$\frac{m^2}{n^2}$

⇒ $\frac{m^2}{n^2} = m^2 \cdot \frac{1}{n^2}$

Apply the exponent rule, we have;

$m^2 \cdot n^{-2}$

Therefore, the given expression $\frac{m^2}{n^2}$ is equivalent to $m^2 \cdot n^{-2}$

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2 years ago

Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by model

Ann [662]

Answer:

(1) The degrees of freedom for unequal variance test is (14, 11).

(2) The decision rule for the 0.01 significance level is;

If the value of our test statistics is less than the critical values of F at 0.01 level of significance, then we have insufficient evidence to reject our null hypothesis.

If the value of our test statistics is more than the critical values of F at 0.01 level of significance, then we have sufficient evidence to reject our null hypothesis.

(3) The value of the test statistic is 0.3796.

Step-by-step explanation:

We are given that you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne's attire with those of Calvin Klein.

The following is the amount ($000) earned per month by a sample of 15 Claiborne models;

$3.5, $5.1, $5.2, $3.6, $5.0, $3.4, $5.3, $6.5, $4.8, $6.3, $5.8, $4.5, $6.3, $4.9, $4.2 .

The following is the amount ($000) earned by a sample of 12 Klein models;

$4.1, $2.5, $1.2, $3.5, $5.1, $2.3, $6.1, $1.2, $1.5, $1.3, $1.8, $2.1.

(1) As we know that for the unequal variance test, we use F-test. The degrees of freedom for the F-test is given by;

$\text{F}_(_n__1-1, n_2-1_)$

Here, $n_1$ = sample of 15 Claiborne models

$n_2$ = sample of 12 Klein models

So, the degrees of freedom = ( $n_1-1, n_2-1$ ) = (15 - 1, 12 - 1) = (14, 11)

(2) The decision rule for 0.01 significance level is given by;

If the value of our test statistics is less than the critical values of F at 0.01 level of significance, then we have insufficient evidence to reject our null hypothesis.

If the value of our test statistics is more than the critical values of F at 0.01 level of significance, then we have sufficient evidence to reject our null hypothesis.

(3) The test statistics that will be used here is F-test which is given by;

T.S. = $\frac{s_1^{2} }{s_2^{2} } \times \frac{\sigma_2^{2} }{\sigma_1^{2} }$ ~ $\text{F}_(_n__1-1, n_2-1_)$

where, $s_1^{2}$ = sample variance of the Claiborne models data = $\frac{\sum (X_i-\bar X)^{2} }{n_1-1}$ = 1.007

$s_2^{2}$ = sample variance of the Klein models data = $\frac{\sum (X_i-\bar X)^{2} }{n_2-1}$ = 2.653

So, the test statistics = $\frac{1.007}{2.653 } \times 1$ ~ $\text{F}_(_1_4,_1_1_)$

= 0.3796

Hence, the value of the test statistic is 0.3796.

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2 years ago

a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle​

a triangle has an area of 38.4cm.the height of the triangle is 12.8cm.what is the length of the base of the triangle