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den301095 [7]
3 years ago
15

Answer with full solutions​

Mathematics
1 answer:
DerKrebs [107]3 years ago
4 0

Answer:

66 cm²

Step-by-step explanation:

From the given figure, and the question statement we have;

BD = 11 cm, AE = 7 cm, CF = 5 cm

The given quadrilateral ABCD consists of two triangles; ΔABD and ΔBCD

The area of quadrilateral ABCD = The sum of the areas of ΔABD and ΔBCD

The base length of the two triangles equals segment BD = 11 cm

The height of triangle ΔABD = 7 cm

The area of a triangle = (1/2) × Base length × Height

∴ The area of triangle ΔABD = (1/2) × 11 cm × 7 cm = 38.5 cm²

Similarly;

The area of triangle ΔBCD = (1/2) × 11 cm × 5 cm = 27.5 cm²

∴ The area of quadrilateral ABCD = 38.5 cm² + 27.5 cm² = 66 cm²

The area of the given figure (quadrilateral ABCD) = 66 cm².

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Answer:

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Step-by-step explanation:

-4×-4=16

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12+16=28

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4 years ago
A scientist who studies sleep has developed a new technique to help people sleep each night. He
Andru [333]

Considering the situation described, the scientist's null and alternative hypothesis are described by:

Null hypothesis H_0: \mu = 0; Alternative hypothesis H_1: \mu \neq 0.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is no difference, that is, the difference of the means represented by \mu is of 0, hence:

H_0: \mu = 0

At the alternative hypothesis, it is tested if there is a difference, hence:

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More can be learned about an hypothesis test at brainly.com/question/26454209

7 0
2 years ago
Determine the values of x when f(x)=40 for the function f(x)=2(x-3)^2-8
SpyIntel [72]

Answer:

x = 3 ± \sqrt{24}

or

x = 3 + \sqrt{24}, x = 3 - \sqrt{24}

Step-by-step explanation:

given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40

So, we plug in 40 for f(x) in the 1st equation and solve for x.  (Aim to got x on its own)

40 = 2 (x - 3)^2 - 8

+ 8          + 8

-----------------------------

48 = 2 (x - 3)^2

/2            /2

-----------------------------

24 = (x - 3)^2

square root both sides

--------------------

\sqrt{24} = x - 3

x = 3 ± \sqrt{24}

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Which of the following functions is graphed below?
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Answer:A

Step-by-step explanation:

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