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2 years ago

Students plant 148 flowers at a community park. Seventy-eight percent of the flowers are pansies. Use

Mathematics

1 answer:

Mashcka [7]2 years ago

6 0

About 115 are pansies when you round down from the original number (115.44)

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Find the solutions for a triangle with a = 16, c =12, and B = 63º.

maks197457 [2]

Answer:

b. A = 71.6°; C = 45.40°; b =15.0

Step-by-step explanation:

The missing values can be found with the help of the Law of Cosine and properties of triangles:

Side b (Law of Cosine)

$b = \sqrt{a^{2}+c^{2}-2\cdot a \cdot c \cdot \cos B}$

$b = \sqrt{16^{2}+12^{2}-2\cdot (16)\cdot (12) \cdot \cos 63^{\circ}}$

$b \approx 15.022$

Angle A (Law of Cosine)

$\cos A = -\frac{a^{2} - b^{2}-c^{2}}{2\cdot b \cdot c}$

$\cos A = - \frac{16^{2}-15.022^{2}-12^{2}}{2\cdot (15.022)\cdot (12)}$

$\cos A = 0.315$

$A= \cos^{-1} 0.315$

$A \approx 71.639^{\circ}$

Angle C (Sum of internal angles in triangles)

$C = 180^{\circ} - 63^{\circ} - 71.639^{\circ}$

$C = 45.361^{\circ}$

Hence, the right answer is B.

6 0

2 years ago

3x-8<-2x+22<br><br> Show it with steps please.

Neko [114]

Answer:

x < 6

Step-by-step explanation:

1. 3x+2x = 5x

2. 5x - 8 < 22

3. 22+ 8 =30

4. 5x < 30

5. 30/5 = 6

6. x < 6

8 0

2 years ago

Read 2 more answers

PLEASE HELP ANGLE OF A TRIANGLE

Vikki [24]

Answer:

59°

Step-by-step explanation:

The angles of a triangle equal 180°.

Also the angle of a straight line is 180°.

So you first find the missing bottom angle by taking 180-147 to equal 33.

Then you take 33+88+x=180

solve for x by subtracting 88 and 33 from 180 to equal 59.

8 0

2 years ago

Read 2 more answers

Megan earns $20.00 by walking dogs. She uses all of her earnings to buy a shirt for $12.85 and some stickers for $0.65 each. How

Leya [2.2K]

The answer is B: 11.

To solve it, you need to solve the equation: 20.00=12.85+0.65x

4 0

2 years ago

Can someone help me with this question

Mashcka [7]

The correct answer here would be D. -1(3x+1)(x+5). You can find this answer by redistributing the problem.

-1(3x+1)(x+5)
-1(3x²+15x+1x+5)
-1(3x²+16x+5)
-3x²-16x-5

Using the math above, we can see that when we redistribute we get the original equation. That makes Choice D correct.

5 0

2 years ago