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pickupchik [31]
3 years ago
7

Am I correct ??? I don’t really know

Mathematics
1 answer:
Setler [38]3 years ago
4 0
What you have here is a situation with two <em>similar triangles. </em>The triangle in the lower left is similar to the triangle in the upper right - I've included an image with "cutouts" of those triangles so you can see the similarities. Similar triangles have a very important property: <em>the ratios of their corresponding sides are equivalent</em>. Here, we can set up a ratio between the sides of length 64 and x on the larger triangle, and the corresponding sides of length x and 36 on the smaller triangle. Setting the two equal to each other, we have

\frac{64}{x}= \frac{x}{36}

Multiplying both sides of the equation by 36 and x, we get

64\cdot36=x^2

finally, we take the square root of both sides of the equation to find x:

\sqrt{64\cdot36}=x\\&#10;\sqrt{64}\sqrt{36}=x\\&#10;8\cdot6=x\\&#10;48=x

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If m= 3 and n= 2, then m2-n2 is equal to
Ulleksa [173]

Answer:

5

Step-by-step explanation:

(I'm assuming that by m2 and n2 you mean m to the power of 2 and n to the power of 2)

Whenever you have a number to a power, it is the same as that number times itself that power number of times. For example, 3 to the power of 4 is equal to 3 times itself 4 times, which is 3 * 3 * 3 * 3. If we use this and substitute the values in for m and n, we get that 3^2 - 2^2, and since 3^2 is 3 * 3 and 2^2 is 2 * 2 and 3 times 3 is 9 and 2 times 2 is 4, we get that 9 - 4 is 5.

<em>Note: This symbol means to the power of ----> ^</em>

6 0
3 years ago
Is the number of members of Club X greater than the number of members of Club Y ? (1) Of the members of Club X, 20 percent are a
Oliga [24]

Answer:

Yes

Step-by-step explanation:

The 20% of members of club X that are also members of club Y can be written as: P(Y/X) = 20% (that is, the probability of belonging to Y given that it belongs to X)

The 30% of members of club Y that are also members of club X can be written as: P(X/Y) = 30% (that is, the probability of belonging to X given that it belongs to Y)

The formula of conditional probability of A given B is  

P(A/B) = (A∩B) / P(A)

Where (A∩B) is the probability that both events A and B occur and P(A) is the probability of A.

Based on that, we can write,

P(Y/X) = P(Y∩X) / P(X) = 20 % = 0.2

P(X/Y) = P(Y∩X) / P(Y) = 30 % = 0.3

Clearing P(Y∩X) of both equations and equalizing,

P(Y/X).P(X) = P(X/Y).P(Y)

Moving terms ,

P(X) / P(Y) = P(X/Y) / P(Y/X) = 0.3 / 0.2 = 1.5

That is, P(X) is 1.5 times P(Y), which means that the amount of members of X is greater than the members of Y.  

7 0
3 years ago
Find the two square roots of 144.
spin [16.1K]

Answer:

The square root function

sqrt(144) or √144 produces a single positive value, 12.  

However if you have an equation

x² = 144, then you have two possible values for x, 12 and -12.  

Two ways to look at it.  

x² - 144 = 0

Difference of two squares

(x+12)(x-12) = 0

x = -12, 12

x² = 144

x = ±√144

x = ±12

x = -12, 12

4 0
3 years ago
Read 2 more answers
PLEASE HELP WILL MARK BRAINLIEST!
pav-90 [236]

Answer:

1, 5, 17, 53, 161

Step-by-step explanation:

Given:

  • a_1=1
  • a_n=3a_{n-1}+2

First five terms of the sequence:

a_1=1

a_2=3a_1+2=3(1)+2=5

a_3=3a_2+2=3(5)+2=17

a_4=3a_3+2=3(17)+2=53

a_5=3a_4+2=3(53)+2=161

7 0
2 years ago
Read 2 more answers
The university needs to transport 421 fans from the stadium parking lot to the football game. If a van holds 10 people, how many
Tasya [4]
421/10= 42.1 vans since you can’t bring a 0.1 van you’ll have to bring a whole extra van so 43 vans

answer: one person will be in the partially full van
7 0
3 years ago
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