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Neko [114]
1 year ago
5

Answer the following.

Mathematics
1 answer:
Oksana_A [137]1 year ago
7 0

Answer:

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Which mathematical symbol would best fill in the blank to compare the two real numbers?
Alexandra [31]

Answer:  The correct option is (A) < .

Step-by-step explanation:  We are given to select the correct mathematical symbol that would best fill in the blank to compare the following two real numbers :

\sqrt7~~~?~~~\dfrac{14}{5}.

First , we need to find the values of both the real numbers in decimal form.

We have

\sqrt7=2.64575...,\\\\\dfrac{14}{5}=2.8.

Since, 2.64575 so we get

\sqrt7

Thus, the correct mathematical symbol is <.

Option (A) is CORRECT.

5 0
4 years ago
Read 2 more answers
Can you guys help me out on this? I'm still learning sign, cosign, and tangent :)
Yakvenalex [24]

Answer:

\sin d = \frac{4}{7} ; \sin e = \frac{\sqrt{33} }{7}

\cos d = \frac{\sqrt{33} }{7} ; \cos e = \frac{4}{7}

\tan d = \frac{4}{\sqrt{33} } ; \tan e = \frac{\sqrt{33} }{4}

Step-by-step explanation:

For a right angled triangle with one of its angle α (alpha) :-

  • \sin \alpha = \frac{Side \: opposite \: to \: \alpha }{Hypotenuse \: of \: the \: triangle}
  • \cos \alpha  = \frac{Side \: adjacent \: to \: \alpha }{Hypotenuse \: of \: the \: triangle}
  • \tan \alpha  = \frac{Side \: opposite \: to \: \alpha }{Side \: adjacent \: to \: \alpha }

__________________________________________________

According to the question ,

1) When α (alpha) = d

  • \sin d = \frac{4}{7}
  • \cos d = \frac{\sqrt{33} }{7}
  • \tan d = \frac{4}{\sqrt{33} }

2) When α (alpha) = e

  • \sin e = \frac{\sqrt{33} }{7}
  • \cos e = \frac{4}{7}
  • \tan e = \frac{\sqrt{33} }{4}

3 0
3 years ago
Which expressions are equivalent to 5 +(-3)(6x-5)?
bagirrra123 [75]
C: None of the above

6 0
3 years ago
Read 2 more answers
The greater of two numbers is one less than eight times the smaller . Their sum equals 98
Kitty [74]
B>a

b=8a-1

and we are told that 98=a+b so a=98-b, using this value for a in the equation above gives you:

b=8(98-b)-1

b=784-8b-1

b=783-8b

9b=783

b=87, and since a+b=98, a=11

so a and b are 11 and 87
3 0
3 years ago
1. What is the solution of n^2-49=0?
Effectus [21]

<u>Answer:</u>

<h2>1. a</h2><h2>2. b</h2><h2>3. b</h2><h2>4. b</h2><h2>5. 22</h2>

<u>Explanation:</u>

1.

n²-49=0

n=√49

n=7

2.

x²+64=0

x=√64

x=8

3.

if A=144x²

l = √A

l = √(144x²)

l = 12x

4.

b = (24×2)/3b

b = 48/3b

b = 16/b

b² = 16

b = √16

b = 4 in <em>(-4 is correct in algebra but there's no negative lengths in geometric shapes)</em>

5.

x²+z = 103

x² = 103-z

x = √(103-z)

for x = -9 and 9    (103-z) must equal 81

z = 103 - 81 = 22

x = √(103-22)

x = √81

x = -9 , 9

7 0
3 years ago
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