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TEA [102]
2 years ago
11

What is the length of segment AE? Show your work.

Mathematics
2 answers:
MariettaO [177]2 years ago
5 0

AC+CE=AE

Pythagorean theorem is a big part of this problem. a^2+b^2=c^2

Part AC

8^2+6^2=c^2

64+36= 100

c^2 =

\sqrt{100}

or

5^2 to match c^2.

Part CE

It is similar to the other one. It's just scaled. 6 to 8, 4 to....6

4^2+6^2=c^2

16+36=52

c^2 =

\sqrt{52}

It is not a perfect square. So that will be the answer.

RSB [31]2 years ago
4 0

Answer:

Step-by-step explanation:

The short side of AB is 2 units shorter than BC.

Side DE has to be 2 units longer than side CD, which is 6.

AE will be the sum of 6 + 8 + 4 + 6, which is 24.

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Find the remaining trigonometric functions of θ based on the given information.csc θ = 257 and cos θ < 0
katrin [286]
Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) = \frac{1}{sin(θ)} = 257
==> sin(<span>θ) = \frac{1}{257}
it is positive, so now we can determine that is in Quadrant 2

sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj: 257^{2} -  1^{2}  = adj ==\ \textgreater \  adj  \sqrt{ 257^{2} -   1^{2} } ==\ \textgreater \  adj = 16 \sqrt{258}

cosθ = \frac{16 \sqrt{258} }{257} &#10;
tanθ = \frac{1}{16 \sqrt{258} }
cos<span>θ = </span>16 \sqrt{258}
6 0
3 years ago
Please help in this!
vovikov84 [41]

Step-by-step explanation:

Correct option is C)

41−

21+

19−

9

=

41−

21+

19−3

=

41−

21+

16

=

41−

21+4

=

41−

25

=

41−5

=

36

=6

4 0
2 years ago
Read 2 more answers
Find the value of csc theta, if cos =-3/5; 90 degrees &lt; theta &lt; 180 degrees
Sloan [31]

Answer:\frac{5}{4}

Step-by-step explanation:

Given

\cos \theta =\frac{-3}{5}

and \theta  lies between

90^{\circ}

and for this \theta,\sin and \text{cosec} is Positive as they lie in 2 nd Quadrant

\sin ^2\theta +\cos ^2\theta =1

\sin ^2\theta =1-(\frac{-3}{5})^2

\sin ^2\theta =1-\frac{9}{25}

\sin ^2\theta =\frac{16}{25}

\sin \theta =\frac{4}{5}

\therefore \text{cosec}\ \theta =\frac{5}{4}

6 0
2 years ago
Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when
likoan [24]

Answer:

no of kernels  pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second  = 12

kernels are present = 235

solution

we get here kernels are pop at rate of here

kernels are pop at rate = 12  ÷  235  

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

maximum kernels remaining = 235 - 140

maximum kernels remaining = 85

so

no of kernels  pop in 5 second will be

no of kernels  pop = 0.051063   × 85

no of kernels  pop = 4.34

7 0
3 years ago
4^0 + 5^0 + 6^0 = (4+5+6)^0<br> a)True<br> b)False
Yuri [45]

Step-by-step explanation:

false

4^0 + 5^0 + 6^0= 1+1+1=3

(4+5+6)^0= 3⁰=1

1≠3

7 0
2 years ago
Read 2 more answers
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