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Klio2033 [76]
3 years ago
14

What is the correct answer

Mathematics
2 answers:
nevsk [136]3 years ago
8 0
The correct answer for this question is 4
Sergio [31]3 years ago
8 0
Correct answer is 4 to this equation
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The circumference of a circle is 16 ft.<br> what is the radius?<br> .
vampirchik [111]

Answer:

Step-by-step explanation: honestly im not sure

3 0
3 years ago
Find the square roots of 119 + 120i algebraically.
blondinia [14]

Answer:

Step-by-step explanation:

Given

z=119+120 i

Let \sqrt{119+120 i}=p+iq

Squaring both sides

119+120 i=p^2-q^2+2ipq

Comparing real and imaginary part

Re(LHS)=Re(RHS)

119=p^2-q^2-----------1

comparing Im(LHS)=Im(RHS)

120=2pq

q=\frac{60}{p}

Substitute q in 1

119=p^2-(\frac{60}{p})^2

p^4-119p^2-(68)^2=0

Let x=p^2

x^2-119x-4624=0

x=\frac{119\pm \sqrt{119^2+4\times 4624}}{2}

x=\frac{119\pm 180.71}{2}

we take only Positive value because p^2=x

x=149.85

p^2=149.85

thus p=\pm 12.24

q=\mp 4.90

thus \sqrt{119+120 i}=\pm (12.24+i 4.90)

8 0
3 years ago
In the diagram below, what is the approximate length of the mirror arc AB?
denis23 [38]

Answer:

D) 15.7 cm

Step-by-step explanation:

radius = 10 cm

diameter = 10 x 2 = 20 cm

circumference = 20 x 3.14 = 62.8 cm

(90°/360°)(62.8) = 15.7 cm

4 0
3 years ago
Why is the ? in the proportion below equal to QR? Explain why.
Artyom0805 [142]

9514 1404 393

Answer:

  A) SQ is the geometric mean between the hypotenuse and the closest adjacent segment of the hypotenuse.

Step-by-step explanation:

In this geometry, all of the right triangles are similar. That means corresponding sides have the same ratio (are proportional).

Here, SQ is the hypotenuse of ΔSQT and the short side of ΔRQS.

Those two triangles are similar, so we can write ...

  (short side)/(hypotenuse) = QT/SQ = QS/RQ

In the above proportion, we have used the vertices in the same order they appear in the similarity statement (ΔSQT ~ ΔRQS). Of course, the names can have the vertices reversed:

  QT/SQ = SQ/QR . . . . . QS = SQ, RQ = QR

__

When this is rewritten to solve for SQ, we get ...

  SQ² = QR·QT

  SQ = √(QR·QT) . . . . SQ (short side) is the geometric mean of the hypotenuse and the short segment.

8 0
3 years ago
Select the polynomial that can be factored as (3x - 4)^2
Elodia [21]
Second binomial formula
(a - b)^2 = a^2 - 2ab + b^2
(3x - 4)^2 = (3x)^2 - 2 × 3x × (-4) + (-4)^2
=9x^2 + 24x - 16
6 0
3 years ago
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