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nlexa [21]
2 years ago
5

Kite ABCD (a quadrilateral with two pairs of adjacent equal sides) has coordinates A\(0,7), B (1,0),\ C (12,-2), and D (7,8). Wh

at is the area of ABCD, given that the area of a kite is equal to half the product of its diagonals? PLEASE HELP DUE IN FIVE MINUTES
Mathematics
1 answer:
Drupady [299]2 years ago
8 0

Answer:

Area=45

Step-by-step explanation:

Area=AC*BD/2=V12^2+(-9)^2*V6^2+8^2=(V144+81)*V36+64/2=V225*6/2=15*6/2=45

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Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
2 years ago
Simplify: StartRoot 64 r Superscript 8 Baseline EndRoot
patriot [66]

Answer:

  8r^4

Step-by-step explanation:

  \sqrt{64r^8} =\sqrt{(8r^4)^2}=\boxed{8r^4}

5 0
2 years ago
If X is a normal random variable with parameters µ = 10 and σ 2 = 36, compute
alex41 [277]

Answer:

Step-by-step explanation:

Given that X is a normal random variable with parameters µ = 10 and σ 2 = 36,

X is N(10, 6)

Or z = \frac{x-10}{6}

is N(0,1)

a)  P(X > 5),

=P(Z>-0.8333)\\=0.7977

(b) P(4 < X < 16),

=P(|z|

(c) P(X < 8),

=P(Z

(d) P(X < 20),

=P(Z

(e) P(X > 16).

=P(Z>-0.6667)

= 0.2524

6 0
2 years ago
it says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost
AfilCa [17]
It says priya's family exchanged 250 dollars for 4,250 pesos. Riya bought a sweater for 510 pesos. how many did the sweater cost?

6 0
2 years ago
Read 2 more answers
The lines –2y = – 3/5 and y = 4x + 5/3 are
MrRa [10]

Answer:

c.) neither

Step-by-step explanation:

-2y = -3/5 does not have an x value for a slope to contrast with y = 4x + 5/3

5 0
2 years ago
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