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photoshop1234 [79]
3 years ago
6

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

Mathematics
1 answer:
Ede4ka [16]3 years ago
7 0

Answer:

3.1 in

Step-by-step explanation:

a² + b² =c²

12=c

11.6=b

c²- b² = a²

12²-11.6²= 9.44

√9.44 = 3.07 Rounded = 3.1 in

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Find the 17th term in the sequence for which a1 = 10 and d = -3.
yKpoI14uk [10]

Answer:

d. -38

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is as follows:

a_{n+1} = a_{n} + d

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

a_{n} = a_{1} + (n-1)*d

In this question:

a_{1} = 10, d = -3

17th term:

a_{17} = a_{1} + (17-1)*d = 10 + 16*(-3) = -38

So the correct answer is:

d. -38

6 0
3 years ago
Write an exponential function in the form y=ab^xy=ab
Tcecarenko [31]

Answer:

y = 8 · 10ˣ

Step-by-step explanation:

y = abˣ

When x = 0, y = 8.

8 = ab⁰

8 = a

When x = 3, y = 8000.

8000 = 8b³

1000 = b³

10 = b

The function is:

y = 8 · 10ˣ

3 0
3 years ago
Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, L, from the first ribbon and finds that 5 inches a
nikitadnepr [17]

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

2L+40=x......(2)

From equation 1 and 2,

9L+5=2L+40\\\\7L=35\\\\L=5

Plugging this value in equation 1,

9(5)+5=x\\\\x=45+5\\x=50

Therefore, the length of each ribbon when she bought them was 50 inches.

3 0
3 years ago
What is your number?
Goryan [66]

Answer:

13 and 11

Step-by-step explanation:

how is helpful

5 0
3 years ago
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Lacy pays $15 for each hour of golf lessons and $10 for equipment rental. If the lesson is more than 3 hours long, she only pays
Ghella [55]

Answer:

60

Step-by-step explanation:

15x3=45

5x3=15

15+45=60

4 0
3 years ago
Read 2 more answers
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