3 years ago

A geometry student wants to draw a rectangle inscribed in the ellipse

Mathematics

1 answer:

IceJOKER [234]3 years ago

6 0

What is the question?

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The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is appointing. If there are 15

skad [1K]

Answer: There are 360360 ways to appoint the members of the cabinet.

Step-by-step explanation:

Since we have given that

Number of eligible candidates = 15

Number of spots available = 5

We need to find the number of different ways the members can be appointed where rank matters

For this we will use "Permutations":

So, the required number of different ways in choosing the members for appointment is given by

$^{15}P_5=360360$

Hence, there are 360360 ways to appoint the members of the cabinet.

7 0

3 years ago

6÷x (1+2)=1 please tell me how to work this out

Vinvika [58]

First of all 1+2=3 which leads to 6:3x=1 3x=6:1 3x=6 X=2

5 0

3 years ago

How do you solve <br> 2/3 [(5+3) ^-3]

vodka [1.7K]

$\dfrac{2}{3}[(5+3)^{-3}]=\dfrac{2}{3}(8)^{-3}\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{2}{3}\cdot\dfrac{1}{8^3}=\dfrac{2}{3\cdot512}=\dfrac{1}{3\cdot256}=\dfrac{1}{768}$

7 0

3 years ago

If P = (5,4), find the image of P under the following rotation. 90° counterclockwise about the origin ([?], [ ])

ANTONII [103]

Answer: (-4,5)

Step-by-step explanation:

Rotating 90 deg. counterclockwise maps (x,y) onto (-y,x), so (5,4) maps onto (-4,5).

8 0

2 years ago

Solve the following quadratic equation by factoring or Quadratic Formula.

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

x2 - 3x - 10. = 0

x2 + 2x - 5x - 10 = 0

(x2 + 2x) (-5x - 10) = 0

x (x + 2) - 5 (x + 2) = 0

(x - 5) (x + 2) = 0

x - 5 = 0 x + 2 = 0

x = 5 or x = - 2.

6 0

3 years ago

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