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timofeeve [1]
3 years ago
12

4

Mathematics
1 answer:
Minchanka [31]3 years ago
5 0

Answer:

B) 192 ft

Step-by-step explanation:

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The triangles are similar.
Andre45 [30]
X=12 because say if we choose the base line as our example then the baseline for the small triangle is 7 and the baseline for the bigger triangle is 28. To get from 7 to 28 you have to times by 4 , so the triangle has been enlarged by 4. If we get the side where it says 25 (for the smaller triangle) we can times it by 4 to get 100. Our equation is now 100=6x+28. To work this equation out you do -28 for both sides which equals to 72=6x.
Then we divide by 6 on both sides to get our answer as 12=x
Hope this helped, ask me if you are confused by anything that I just said.
5 0
3 years ago
Calculate the number of subsets and the number of proper subsets for the set.
arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0
2 years ago
State how you know the triangles are congruent. Choose SSS, SAS, ASA, AAS, or HL. If the
mixas84 [53]

Answer: SAS

Step-by-step explanation:

4 0
3 years ago
Daryl opens his shop at 8:30 AM and closes it at 7:50 PM. How long is the shop open?
slava [35]

Answer:

11 hours 20 minutes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The brand manager for a brand toothpaste must plan a campaign designed to increase brand recognition. He wants to first determin
bulgar [2K]

We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

3 0
3 years ago
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