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Mumz [18]
3 years ago
12

Use the following similar triangles (ABC ~ DEF). If AC= 18 when DF=19 and AB=15, what is DE? Solve mathematically. Round your an

swer to the nearest tenth.
Mathematics
2 answers:
Usimov [2.4K]3 years ago
8 0

Answer:

15.8

Step-by-step explanation:DE=15*19/6

DE=15.83=15.8

aev [14]3 years ago
3 0

Answer:

Step-by-step explanation:

As they are similar triangles,we can write

\frac{AB}{DE}=\frac{AC}{DF}

⇒\frac{15}{DE}=\frac{18}{19}

⇒DE=15.8

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A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye
Svetlanka [38]

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

6 0
3 years ago
Estimate then find the difference or sum <br><br> 86+17
kumpel [21]
Estimation for addition: 86 rounds up to 90 and 17 rounds up to 20 so:
90 + 20 = 110
Estimation for subtraction is the same thing but with subtraction
90 - 20 = 70

Now for the exact answers:
86 + 17 = 103
86 - 17 = 69

Your answers are 110, 70, 103, and 69.

8 0
3 years ago
What is an appropriate data display for the distribution of teachers by age?
sertanlavr [38]
Not really sure what exactly you are asking, but maybe a bar graph?
4 0
3 years ago
What is the formula for finding the side length of a square?
goldenfox [79]
A=[p/4 ] the parenthesis is a ratio.
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3 years ago
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Tju [1.3M]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
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