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1 year ago

Prove that the two circles shown below are similar

Mathematics

2 answers:

Olenka [21]1 year ago

7 0

Answer:

there ar in middle point

Anvisha [2.4K]1 year ago

6 0

Answer:

they are both round, and both go through multiple areas.

Step-by-step explanation:

Hope this helps, Please help me and answer my most recent question.

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A farmer from Whidbey Island: A man claims his whalebone can detect water. You design an experiment using a set of 4 cans, 3 emp

tatyana61 [14]

Answer:

The value is $E(x) = 1.25$

Step-by-step explanation:

From the question we are told that

The number of cans is n = 4

The number of can that are empty is N = 3

The number of can filled with water is k = 1

The number number of sets of cans is w = 5

Generally probability of detecting the correct can is mathematically represented as

$p = \frac{k}{n}$

=> $p = \frac{1}{4}$

=> $p = 0.25$

Generally probability of not detecting the correct can is mathematically represented as

$q = 1- p$

$q = 1- 0.25$

$q = 0.75$

Generally the number of cans expected of the farmer to correctly identify by chance is mathematically represented as

$E(x) = w * p$

=> $E(x) = 5 * 0.75$

=> $E(x) = 1.25$

5 0

3 years ago

To prove that ΔDEF ≅ ΔDGF by SSS, what additional information is needed?

FinnZ [79.3K]

Answer:

DE ≅ DG

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If 180° < α < 270°, cos⁡ α = −817, 270° < β < 360°, and sin⁡ β = −45, what is cos⁡ (α + β)?

eduard

Answer:

$cos(\alpha+\beta)=-\frac{84}{85}$

Step-by-step explanation:

we know that

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

Remember the identity

$cos^{2} (x)+sin^2(x)=1$

step 1

Find the value of $sin(\alpha)$

we have that

The angle alpha lie on the III Quadrant

The values of sine and cosine are negative

$cos(\alpha)=-\frac{8}{17}$

Find the value of sine

$cos^{2} (\alpha)+sin^2(\alpha)=1$

substitute

$(-\frac{8}{17})^{2}+sin^2(\alpha)=1$

$sin^2(\alpha)=1-\frac{64}{289}$

$sin^2(\alpha)=\frac{225}{289}$

$sin(\alpha)=-\frac{15}{17}$

step 2

Find the value of $cos(\beta)$

we have that

The angle beta lie on the IV Quadrant

The value of the cosine is positive and the value of the sine is negative

$sin(\beta)=-\frac{4}{5}$

Find the value of cosine

$cos^{2} (\beta)+sin^2(\beta)=1$

substitute

$(-\frac{4}{5})^{2}+cos^2(\beta)=1$

$cos^2(\beta)=1-\frac{16}{25}$

$cos^2(\beta)=\frac{9}{25}$

$cos(\beta)=\frac{3}{5}$

step 3

Find cos⁡ (α + β)

$cos(\alpha+\beta)=cos(\alpha)*cos(\beta)-sin(\alpha)*sin(\beta)$

we have

$cos(\alpha)=-\frac{8}{17}$

$sin(\alpha)=-\frac{15}{17}$

$sin(\beta)=-\frac{4}{5}$

$cos(\beta)=\frac{3}{5}$

substitute

$cos(\alpha+\beta)=-\frac{8}{17}*\frac{3}{5}-(-\frac{15}{17})*(-\frac{4}{5})$

$cos(\alpha+\beta)=-\frac{24}{85}-\frac{60}{85}$

$cos(\alpha+\beta)=-\frac{84}{85}$

4 0

3 years ago

Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27

Korvikt [17]

Answer: C: Chuy will save more than he needs and will meet his goal at the end of 27 weeks.

Step-by-step explanation: Divide the amount of money saved, $440, by the number of weeks, 8.

440/8 = $55.

This means $55 is the amount of money Chuy saves every week.

Multiply $55 by the number of weeks Chuy plans to save money, 27.

55 x 27 = 1,485.

Since the television costs $1,350 dollars, Chuy will save more than he needs and will meet his goal in less than 27 weeks.

4 0

2 years ago

HELP!! I desperately need help!! I would appreciate if you could show work please!!!

zzz [600]

Answer:

a) 137.9°

b) 12.2° (please refer to explanation because I didn't know what to round to)

Step-by-step explanation:

1a) A supplementary angle will equal 180°, so you must subtract 42.1 from 180

180-42.1 = 137.9

1b) A complementary angle will equal 90°, so you need to use the expression given and add an x for the other part of 90°

8x-20+x = 90

9x-20=90

9x=110

x=12.2

7 0

3 years ago