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mario62 [17]
3 years ago
14

What is the length of EF¯¯¯¯¯? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth. ft

A horizontally-aligned scalene triangle D E F. Side D E is labeled as 6 feet. Side D F is labeled as 11 feet. Angle D is labeled as 40 degrees.

Mathematics
2 answers:
Dovator [93]3 years ago
4 0
When finding the third side of a scalene triangle, use Law of Cosine with its formula

c^2 = A^2+B^2 - 2AB(cosC)

Now, you just have to input all your data in the formula, 

c^2 = 6^2+11^2 - 2(6)(11)(cos40degrees)
c^2 = 36+121 - 2(6)(11)(cos40degrees)
c^2 = 36+121 - 2(6)(11)(0.77)
c^2 = 157 - 101.12
c^2 = 55.88
c = square root of 55.88
c = 7.48 ft

Length of EF is 7.48 ft
sergey [27]3 years ago
4 0

Answer:

7.5 ft

Proof in pic:

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Find the errors and correct the following mathematical sentences.​
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This is your answer

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Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim
iren [92.7K]

Answer:

We accept  H₀

Step-by-step explanation:

Normal Distribution

size sample   n  = 69

sample mean  18.94

standard deviation  8.3

Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.

1.-Test hypothesis                              H₀         ⇒   μ₀  =  20

   Alternative hypothesis                  Hₐ         ⇒    μ₀  < 20

2.- Critical value

for α = 0.1  we find from z Table

z(c) = - 1.28

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z(s) =  - 1.061

4.- We compare

z(c)   and z(s)           -1.28 > -1.061

Then z(c)    >  z(s)

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5 0
3 years ago
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tamaranim1 [39]

Answer:

B.

Step-by-step explanation:

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224=2^{5} *7

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x^{11} =(x^{5} )^{2} *x

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y^8=y^5*y^3

and we also can get y outside.

so we have:

2x^{2}y\sqrt[5]{7xy^3}

7 0
3 years ago
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pentagon [3]

Answer:

Step-by-step explanation:

A.f(x) =(x-1)^2  is even because of that even exponent, 2.

b. F(x)=8x  is odd because x has the exponent 1.

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d.f(x)=7    is even because the exponent is even:  7^0

4 0
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