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2 years ago

Graph the image of M( – 9,1) after a rotation 270° counterclockwise around the origin.

Mathematics

1 answer:

Masja [62]2 years ago

3 0

The points of (9,1) after a 270 degree counterclockwise rotation would be (1,-9)
Hope this helps!

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Which tipe of this method???

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Answer:

It appears to be substitution

Step-by-step explanation:

I think you are talking about system of equations

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3 years ago

Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.

sveticcg [70]

Answer:

(a) $x=\frac{5\pi }{3}$

(b) $x=\frac{\pi }{8}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$

(a) We have given equation $2sinx+\sqrt{3}=0$

$sinx=\frac{-\sqrt{3}}{2}$

$x=sin^{-1}(-0.866)$

$x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}$

(b) $tan(2x)=1$

$2x=tan^{-1}1$

$2x=\frac{\pi }{4}$

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3 years ago

10 men and 5 women are meeting in a conference room. Four people are chosen at random from the 15 to form a committee. (a) What

nata0808 [166]

Answer:

Step-by-step explanation:

Given

There are 10 men and 5 women in a conference room

total People=15

(a)Probability that the committee consists of 2 men and 2 women

we have to select from 10 men and 5 women

$P=\frac{^5C_2\times ^{10}C_2}{^{15}C_4}$

(b)Bob and Jane end up on the same committee

as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person

$P=\frac{^{13}C_2}{^{15}C_4}$

(c)Bob is in the committee but Jane is not

9 men and 4 women left to choose other 3 person

$P=\frac{^{13}C_3}{^{15C_4}}$

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3 years ago

Kelly subtracted 2.3 from 20 and got 17.7. explain why this answer is reasonable

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If 20-2.3=17.7, then if you add 17.7 to 2.3. it equals 20 which is called the communicative property because whatever you add or subtract, the answer is the same
17.7+2.3=2.3+17.7

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3 years ago

Read 2 more answers

The Maxair amusement park ride consists of a circular ring that holds 50 riders. Suppose that the center of the ride is at the o

Trava [24]

The approximation of the circumference of the ride is 138 feet to the nearest foot

<h3>How to determine the circumference?</h3>

The given parameters are:

Center (a,b) = (0,0) i.e. the origin
A circular ring, (x,y) = (16,15.1)

The radius is calculated using:

$r = \sqrt{(x - a)^2 + (y -b)^2}$

So, we have:

$r = \sqrt{(16 - 0)^2 + (15.1 -0)^2}$

Evaluate

r = √484.01

Evaluate the square root

r = 22.0

The circumference is calculated using

C = 2πr

So, we have:

C = 2π * 22.0

Evaluate

C = 138

Hence, the approximation of the circumference of the ride to the nearest foot is 138 feet