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3 years ago

A triangle has sides with lengths of 5x-7,3x-4 and 2x-6. What is the perimeter of the triangle?

1 answer:

7 0

The perimeter is the sum of all the sides, so P = (5x -7) + (3x-4) + (2x -6). Then group like terms so you have p = 5x + 3x + 2x -7-4-6 and end up with P = 10x - 17

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In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.

Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

$\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}$

In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, $B$ . Then, we can find the third side. Using the law of sines, we can find:

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}$

We can use this to solve for $B$ :

$13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}$

$B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1$

Now, we can find $C$ :

$C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}$

Using this, we can find $c$ :

$\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}$

$c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}$

c is approximately 17.5.

8 0

2 years ago

What is 7•8+1•40. Explain your answer

zaharov [31]

Answer:

Step-by-step explanation:

We will use the order of operations to solve the equation

7×8+1×40

multiplication before addition, so we do this first:

7×8=56

We change the equation to this:

56+1×40

Then we multiply:

1×40=40

We change the equation to this:

56+40

Then we add to solve:

56+40=96

3 0

3 years ago

Amy has a box containing 6 white, 4 red, and 8 black marbles. She picks a marble randomly. It is red. The second time, she picks

Sladkaya [172]

After the 3rd pick we have: 4 white, 3 red and 8 black marbles.
The probability that the 4th marble is black is:
P ( Black ) = 8 / 15 = 0.5333
After the 4th pick we have: 4 white, 3 red and 7 black marbles.
P ( Red or Black ) = 10 / 14 = 5 / 7 = 0.7143

6 0

2 years ago

You have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles in a Bowl. You randomly pick 4 marbles from the bowl (without replac

makvit [3.9K]

Answer:

Step-by-step explanation:

In this case each one is an independent event, therefore, the multiplication of each one would be the final probability

We have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles, that is, there are 5 + 4 + 3 12 Marbles in total.

Now if I draw a red one, the probability would be: 5/12

When drawing another red, the probability would be: 4/11

When taking the green: 4/10

When removing the blue: 3/9

Finally, the final probability is:

P = (5/12) * (4/11) * (4/10) * (3/9)

P = 0.020

In other words, the probability of this happening is 2%

7 0

3 years ago

a bird flies from the bottom of a canyon that is 81.8 feet below sea level to a nest that is 596 3/5 feet above sea level. what

ELEN [110]

Subtract.

596 3/5 - (-81.8) [81.8 is below sea level so it is negative]
566.6 + 81.8 [Convert to decimal and distribute negative]
= 678.4 feet

6 0

3 years ago