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2 years ago

Find the missing side length of the triangle.

Mathematics

2 answers:

scoundrel [369]2 years ago

6 0

Answer:

10 cm

Step-by-step explanation:

$a^2=b^2+c^2$

$a^2=6^2+8^2$

$a^2=100$

$\sqrt{a^2}=\sqrt{100$

a=10

Ilia_Sergeevich [38]2 years ago

5 0

Answer:

c = 10

Explanation:

Use Pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' is the hypotenuse (the longest side)

Here given: a = 8 cm, b = 6 cm, c = ?

Substituting values:

8² + 6² = c²

c² = 64 + 36

c² = 100

c = √100

c = 10

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For f(x)=3x+1 and g(x)=x^2-6 find (fog)(4)

m_a_m_a [10]

F(x) = 3x+1
G(x) = X^2 - 6
F(G(x)) = F(X^2 - 6) = 3(X^2 - 6) + 1 = 3X^2 - 18 + 1 = 3X^2 -17
F(G(x)) = 3X^2 - 17

6 0

3 years ago

Fill in the blanks to complete the area model to solve 6.60 divided by 15 is the same as _ x ? = _ 6.60 = _ hundredths

storchak [24]

Answer:

$15 x = 6.60$

$x = 44\ hundredths$

Step-by-step explanation:

Given

$\frac{6.60}{15}$

Required

Complete the model

[ ] x = 6.60

x = _ hundredths

$\frac{6.60}{15}$

Equate to x

$x = \frac{6.60}{15}$

Multiply both sides by 15

$15 * x = \frac{6.60}{15} * 15$

$15 * x = 6.60$

$15 x = 6.60$

So, we have:

[ ] x = 6.60 =====> $15 x = 6.60$

Recall that:

$x = \frac{6.60}{15}$

$x = 0.44$

This implies that:

$x = 44\ hundredths$

Hence:

x = _ hundredths =====> $x = 44\ hundredths$

3 0

3 years ago

A sample of students that had stuffy or runny noses were blindly given a single Skittles candy to put in their mouth. They were

Korvikt [17]

Answer:

The confidence interval is $0.2857< p < 0.4601$

Step-by-step explanation:

From the question we are told that

The sample size is n = 118

The number that gave the correct answer is k = 44

Generally the sample proportion is mathematically represented as

$\^ p = \frac{44}{118}$

=> $\^ p =0.3729$

Generally given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = (100 -95) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }$

=> $E = 0.0872$

Generally 95% confidence interval is mathematically represented as

$\r p -E < p < \r p +E$

=> $0.3729 -0.0872< p < 0.3729 +0.0872$

=> $0.2857< p < 0.4601$

5 0

3 years ago

Evaluate 2A - 3B for A = 6 and B = -3.

Rasek [7]

2 (6) - 3 (-3) , 12 - -9 , 12 + 9 , 21

6 0

3 years ago

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What is the area of a parallelogram with a base of 38 meters and a height of 12 meters?

8090 [49]

For this case we have by definition that the area of a parallelogram is given by:

$A = b * h$

Where:

b: It's the base

h: It's the height

According to the data we have:

$b = 38\ m\\h = 12 \ m$

Substituting in the formula:

$A = 38 * 12\\A = 456$

The area of the parallelogram is $A = 456 \ m ^ 2$

Answer:

$A = 456 \ m ^ 2$

4 0

3 years ago

Read 2 more answers