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Nesterboy [21]
3 years ago
13

Mary picks 15 flowers from her garden. If 3 out of 5 flowers are yellow how many yellow flowers does Mary pick

Mathematics
1 answer:
Artemon [7]3 years ago
4 0
3*3::5*3So, she picked 9 yellow flowers. 
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Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?
____ [38]
<h3>Answer:  35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

  • D = 7b+1 = 7*17+1 = 119+1 = 120
  • E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
  • F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

3 0
2 years ago
The Statistics Club at Woodvale College sold college Y-shirts as a fundraiser. The result of the sale are shown below. Choose on
zavuch27 [327]

We are asked to find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.

The total number of club members = 2 + 14 + 12 + 3 + 6 + 1 = 38

Probability of 11-15 T-shirts:

From the table, 3 club members bought 11 - 15 T-shirts.

So the probability is 3/38

Probability of less than 6 T-shirts:

Less than 6 T-shirts means 1 - 5 plus 0 T-shirts.

Form the table, 14 club members bought 1 - 5 T-shirts and 2 club members bought 0 T-shirts.

Total club member who bought 1 - 5 and 0 T-shirts = 14 + 2 = 16

So the probability is 16/38

Now we have to add them together to find the probability that the student sold 11-15 T-shirts or less than 6 T-shirts.

(or means to add)

So the probability is 3/38 + 16/38 = 19/38 = 0.5000

Therefore, the correct answer is option c.

6 0
11 months ago
How to prove this???
swat32
\cos^3 2A + 3 \cos 2A \\&#10;\Rightarrow \cos 2A (\cos^2 2A + 3) \\&#10;\Rightarrow (\cos^2 A - \sin^2 A) (\cos^2 2A + 3)  \\&#10;\Rightarrow (\cos^2 A - \sin^2 A) (1 - \sin^2 2A + 3) \\&#10;\Rightarrow (\cos^2 A - \sin^2 A) (4 - \sin^2 2A) \\&#10;\Rightarrow (\cos^2 A - \sin^2 A) (4 - (2\sin A \cos A)(2\sin A \cos A)) \\&#10;\Rightarrow (\cos^2 A - \sin^2 A) (4 - 4\sin^2 A \cos^2 A) \\ &#10;\Rightarrow 4(\cos^2 A - \sin^2 A) (1 - \sin^2 A \cos^2 A) &#10;

go to right side now

4( \cos^6 A - \sin^6 A)\\&#10;\Rightarrow 4( \cos^3 A - \sin^3 A)(\cos^3 A + \sin^3 A)

use x^3 - y^3 = (x-y)(x^2 + xy + y^2) and x^3 + y^3 = x^2 - xy + y^2

4( \cos^6 A - \sin^6 A)\\ \Rightarrow 4( \cos^3 A - \sin^3 A)(\cos^3 A + \sin^3 A) \\&#10;\Rightarrow  4(\cos A - \sin A)(\cos^2 A + \cos A \sin A + \sin^2 A) \\&#10;~\quad  \quad\cdot ( \cos A + \sin A)(\cos^2 A - \cos A \sin A + \cos^2 A)

so \sin^2 A + \cos^2 A = 1

4( \cos^6 A - \sin^6 A)\\ \Rightarrow 4(\cos A - \sin A)(\cos^2 A + \cos A \sin A + \sin^2 A) \\ ~\quad \quad\cdot ( \cos A + \sin A)(\cos^2 A - \cos A \sin A + \cos^2 A) \\ \Rightarrow 4(\cos^2 A - \sin^2 A)(1 + \cos A \sin A )(1- \cos A \sin A ) \\ \Rightarrow 4(\cos^2 A - \sin^2 A)(1 - \cos^2 A \sin^2 A )\\ \Rightarrow 4(\cos^2 A - \sin^2 A)(1 - \sin^2 A \cos^2 A ) \\&#10; \Rightarrow Left hand side
4 0
2 years ago
A carpenter has a board that is 4 feet long. He wants to cut it into 3 equal pieces. How many inches long will each piece need t
melisa1 [442]
4*12=48
48/3=16
Each piece will need to be 16 inches long.
6 0
2 years ago
( THE SUM OF THE MEASURES OF THE ANGLES BELOW IS 180* ) I will give brainlst for whoever gets this right and fills it out
Rufina [12.5K]

Answer:

2x-10+x+x+10=180, or 4x=180

Step-by-step explanation:

So since the total is 180, you add them all up like an equation.

So,

2x-10+x+x+10

Combine like terms

4x=180

x=45

Then plug it back in to the equations.

x=45

(2x-10)=80

(x+10)=55

5 0
3 years ago
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