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Dovator [93]
4 years ago
9

How many ways can you choose one insect from a collection of 5 butterflies and 11 ants? (b) how many ways can you choose one flowe

r from a garden of two roses, six lilies, and eight birds of paradise? (c) how many ways can you choose two pieces of fruit from a bowl containing one persimmon and four mangoes?
Mathematics
1 answer:
earnstyle [38]4 years ago
5 0
(A) You can choose 1 from 16 in 16 ways.

(B) You can choose 1 from 16 in 16 ways.

(C) You can choose 2 from 5 in 5!/(2!*(5-2)!) = (5*4)/(2*1) = 10 ways.
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I am trying to figure this question: <br><br> 1 + tan^2A = Sec^2A
chubhunter [2.5K]

Answer:

see explanation

Step-by-step explanation:

Using the Pythagorean identity

cos²A + sin²A = 1 ( divide terms by cos²A )

\frac{cos^2A}{cos^2A} + \frac{sin^2A}{cos^2A} = \frac{1}{cos^2A} , that is

1 + tan²A = sec²A ← as required

3 0
3 years ago
Talk to me plz im am rlly lonely :/
Marina86 [1]

Hi, How are you? i hope your well <3

6 0
3 years ago
Read 2 more answers
Mr.Johnson is planning what to wear tomorrow. He has a white shirt, a plaid shirt, and a blue shirt. He has four pairs of pants
const2013 [10]

Answer:

Mr. Johnson has 12 possibilities.

Step-by-step explanation:

The information provided are:

  • Mr. Johnson has a white shirt, a plaid shirt, and a blue shirt.
  • Mr. Johnson  has four pairs of pants, black, brown, gray, and white.
  • He chooses one shirt and one pair of pants.

Compute the number of ways to select a shirt and a pair of pants as follows:

Total number of ways = Number of Shirts × Number of pair of pants

                                     =3\times 4\\\\=12

Thus, Mr. Johnson has 12 possibilities.

8 0
3 years ago
Consider the line y=9x-5.
igomit [66]
Y = 9x - 5...the slope here is 9...a parallel line will have the same slope.

y = mx + b
slope(m) = 9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = 9(5) + b
-4 = 45 + b
-4 - 45 = b
-49 = b
so ur parallel line is : y = 9x - 49

y = 9x - 5...slope is 9. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -1/9.

y = mx + b
slope(m) = -1/9
(5,-4)...x = 5 and y = -4
now we sub and solve for b, the y int
-4 = -1/9(5) + b
-4 = -5/9 + b
-4 + 5/9 = b
-36/9 + 5/9 = b
- 31/9 = b

so ur perpendicular line is : y = -1/9x - 31/9

6 0
3 years ago
Which is an equation in point-slope form for the given point and slope?
Mashutka [201]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 4 and (a, b) = (- 3, 7), hence

y - 7 = 4(x - (- 3)), that is

y - 7 = 4(x + 3) ← second equation in the list

7 0
3 years ago
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