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3 years ago

Which undefined terms are needed to define perpendicular lines?

Mathematics

2 answers:

beks73 [17]3 years ago

8 0

<span>D. Coplanar, line Parallel lines are coplanar lines that do not intersect.</span>

SVETLANKA909090 [29]3 years ago

7 0

C is the answer lil flock

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Whats 195÷13 using base-ten blocks????

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I'm pretty sure the answer is 15 base-ten blocks

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Sam decides to buy 100 shares of DEF company. They cost $16.60 a share. The commission is 6% of the total price. What is Sam's t

Serga [27]

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Sam cost
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In the problem 83 - 10 x 5 - 4, which step should you perform first?

Ksivusya [100]

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3 years ago

A jacket that is regularly sold for $49.95 is on sale for 25% off. What is the sale price of the jacket?

Gnoma [55]

First, find 25% of 49.95. Turn 25% into a decimal by dividing by 100.

25% ⇒ 0.25

Now, multiply 0.25 by 49.95.

0.25 × 49.95 = 12.46

25% of 49.95 is 12.46, so subtract 12.46 from 49.95.

49.95 - 12.46 = 37.49

<h2>Answer:</h2>

<u>The discounted price of the jacket is </u><u>$37.49</u><u>.</u>

Now find 8% of 37.49.

8% ⇒ 0.08

Multiply 0.08 by 37.49.

0.08 × 37.49 = 2.99

<h2>Answer:</h2>

To find the full price, add 37.49 and 2.99 together.

37.49 + 2.99 = 40.48

<h2>Answer:</h2>

<u>The final cost is </u><u>$40.48</u><u>.</u>

4 0

3 years ago

What is the other square root of 119 + 120i?

MakcuM [25]

Answer:

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

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 $x=p^2$

$x^2-119x-4624=0$

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

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

we take only Positive value because $p^2=x$

x=149.85

$p^2=149.85$

thus $p=\pm 12.24$

$q=\pm 4.90$

thus,

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

8 0

3 years ago