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kicyunya [14]
3 years ago
11

A right triangle has an angle that measures 34 and the adjacent side measures 17. What is the length of the hypotenuse to the ne

arest tenth?
F. 20.5
G. 25.2
H. 30.4
J. 34

Mathematics
1 answer:
Mashcka [7]3 years ago
8 0

Answer:

20.5

Step-by-step explanation:

Let's label the vertices ABC as in the diagram below. Then

Data:

α = 34 °

β = 90 °

c = 17

Calculation:

cosα = AB/AC

Multiply each side by AC

ACcosα = AB

Divide each side by cosα

AC = AB/cosα = 17/cos34 ≈ 17/0.8290 ≈ 20.5

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valentinak56 [21]

Answer:

(a) -7 , - 9 , - 11

(b) Arithmetic sequence

(c) There is a common difference of -2

(d) -53

Step-by-step explanation:

(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :

check :

-3 - (-1) = -5 - (-3) = -7 - (-5)  = -2

This means that there is a common difference of -2 , which means it is an arithmetic sequence.

The next 3 terms we are to find are: 5th term , 6th term and 7th term.

t_{5} = a + 4d

t_{5} = - 1 + 4 ( -2 )

t_{5} = -1 - 8

t_{5} = - 9

6th term = a +5d

t_{6} = -1 + 5(-2)

t_{6} = -1 - 10

t_{6} = - 11

t_{7} = a + 6d

t_{7} = -1 + 6 (-2)

t_{7} = -1 - 12

t_{7} = -13

Therefore : the next 3 terms are : -9 , -11 , - 13

(b) it is an arithmetic sequence because there is a common difference which is -2

(c) Because of the existence of common difference

(d) t_{27} = a + 26d

t_{27} = -1 + 26 ( -2 )

t_{27} = -1 - 52

t_{27} = - 53

5 0
3 years ago
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v
klemol [59]
X + 3y = 7
x = -3y + 7

2x + 4y = 8
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y = -6/-2
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x + 3(3) = 7
x + 9 = 7
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7 0
3 years ago
This question is confusing. Please help me!
velikii [3]

Answer:

x = 18

Step-by-step explanation:

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