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kumpel [21]
3 years ago
13

He cartesian coordinates of a point are given. (a) (−9, 9) (i) find polar coordinates (r, θ) of the point, where r > 0 and 0

≤ θ < 2π.
Mathematics
1 answer:
olga_2 [115]3 years ago
5 0
Radius = 
9^2 + 9^2 = d^2
d = sqrt(162), about 12.73

theta = 
atan(9/-9)

is 45°, but in 2nd quad, so add 90

(12.727, 135°)
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The bases of a right prism are isosceles trapezoids with bases of 10 ft and 18 ft
likoan [24]

Answer:

540 ft^2.

Step-by-step explanation:

The area of the trapezoid = h/2 (10 + 18) = 14h.

By Pythagoras the height h = √(5^2 - 4^2) = 3.

So the area of the 2 trapezoidal bases = 2 * 14*3

= 84 ft^2.

Now we calculate the area of the four lateral rectangular sides:

= 10*12 + 18*12 + 2*5*12

= 456 ft^2.

Total area =  456 + 54

= 540 ft^2.

4 0
3 years ago
Donald spent half as much as Patricia did on presents this year, and Carl spent 3 times more than Donald. If the total spent bet
Nuetrik [128]

Answer:

Patricia spent $24 on presents, while Donald spent $12 and Carl spent $36.

Step-by-step explanation:

The problem is to solve how much money each person spent on presents in the year, through a series of equivalences. In order to determine how much money each one spent, the following equation must be proposed:

Patricia = X

Donald = 1 / 2X

Carl = 3/2 X

X + 1 / 2X + 3 / 2X = 72

1X + 0.5 X + 1.5 X = 72

3X = 72

X = 72/3

X = 24

Thus, Patricia spent $ 24 on presents, while Donald spent $ 12 (2/24) and Carl spent $ 36 (1.5 x 24).

4 0
3 years ago
In DCAB, if ÐB = 380, What is ÐC?
Jobisdone [24]
What form is DCAB? and I do not see the point Đ
5 0
3 years ago
Find all the zeroes of the equation(with simple steps).
uysha [10]

<u>Answer-</u>

<em>The zeros are, 5,\ -5,\ 4i,\ -4i</em>

<u>Solution-</u>

\Rightarrow -3x^4+27x^2+1200=0

\Rightarrow -3(x^2)^2+27(x^2)+1200=0

Here,

a = -3, b = 27, c = 1200

So,

x^2=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

=\dfrac{-27\pm \sqrt{-27^2-4\cdot (-3)\cdot 1200}}{2\cdot (-3)}

=\dfrac{-27\pm \sqrt{729+14400}}{-6}

=\dfrac{-27\pm 123}{-6}

=\dfrac{-27+123}{-6},\ \dfrac{-27- 123}{-6}

=\dfrac{96}{-6},\ \dfrac{-150}{-6}

=-16,\ 25

So,

\Rightarrow x^2=25,\ -16

\Rightarrow x=\sqrt{25},\ \sqrt{-16}

\Rightarrow x=5,\ -5,\ 4i,\ -4i

8 0
3 years ago
Simplify .√15 x √12​
skad [1K]

Answer:

6√5

Step-by-step explanation:

√15 x √12

=√3x √5 x 2 x √3

=3 x 2 x √5

=6 x √5

=6√5

8 0
4 years ago
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