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raketka [301]
3 years ago
9

Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?

Mathematics
1 answer:
Svet_ta [14]3 years ago
4 0

Answer:

I, II and III

Step-by-step explanation:

Two sides of a triangle have length 6 and 8.

the maximum possible area occurs in the right angle .

To find maximum area we use the area of the triangle formula

area of triangle = \frac{6 \cdot 8}{2} = 24

So maximum possible area is 24 units^2

all the given possible values are less than and equal to 24

so all the three options are correct

I, II and III

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tony spent $60.54 and bought 3 packs of notebooks and a calculator. how much does a pack of notebooks cost if a calculator costs
Amiraneli [1.4K]
First you need to find out the remaining value after he bought the calculator this would be 14.67.

60.54 - 45.87= 14.67

Next youll assume the packs of notebooks all cost the same and divide by 3

14.67 / 3 = 4.89

He spent 4.89 on one pack of notebooks
6 0
3 years ago
The total bill for drinks and a pizza for three people is $14.90 before tax. The group wants to leave a 15% tip on the cost of t
andreyandreev [35.5K]

Answer:

$2.24

Step-by-step explanation:

Since we are trying to find a percentage of something, we can multiply whatever we're trying to find a percentage from by 0.X where X is equal to the number of the percentage. So in this case it's 15%. We can multiply $14.90 by 0.15 and we get 2.23500. Since we cannot have 2.235 dollars, we must round up decimal places.

The tip would be 2 dollars and 24 cents. ($2.24).

5 0
3 years ago
Use the quadratic formula to solve 9x2 + 6x – 17 = 0. A. B. x = –1, –5 C. D.
Taya2010 [7]

Answer:

x_{1} = -\frac{1}{3} +\sqrt{2} ; x_{2} = -\frac{1}{3}-\sqrt{2}

Step-by-step explanation:


9x² + 6x – 17 = 0

Apply the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = 9; b = 6; y = -17

x = \frac{-6\pm\sqrt{6^2 - 4\times 9 \times(-17)}}{2\times 9}

x = \frac{-6\pm\sqrt{36+36\times17}}{18}

x = \frac{-6\pm\sqrt{36(1+17)}}{18}

x = \frac{-6\pm 6 \sqrt{18}}{18}

x = \frac{-1\pm \sqrt{9\times2}}{3}

x = \frac{-1\pm 3\sqrt{2}}{3}

x_{1} = -\frac{1}{3} +\sqrt{2} ; x_{2} = -\frac{1}{3}-\sqrt{2}

The graph below shows the roots at x₁ =1.081 and x₂ = -1.748.

6 0
3 years ago
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many gree
monitta

Answer:

There are 42 red colour socks and 44 green color socks

Step-by-step explanation:

Let there are r red socks and g green socks.

ATQ,

He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.

4g-3r=50 ....(1)

Half the number of green socks plus one-third of the number of red socks is 36.

\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)

Multiply equation (1) by 2 and equation (2) by 3.

8g-6r = 100 ....(3)

9g +6r = 648 ....(4)

Add equation (3) and (4)

8g-6r + 9g +6r = 100+648

17g = 748

g = 44

Put the value of g in equation (1).

4(44)-3r=50

176-3r = 50

176-50 = 3r

r = 42

Hence, there are 42 red colour socks and 44 green color socks.

7 0
3 years ago
Marcus got a ratio of correctly answered questions to total questions of 9 : 12 on his past
PSYCHO15rus [73]

Answer:

The correct answer is 30%

5 0
3 years ago
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