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Alekssandra [29.7K]
2 years ago
5

What is the value of a in the equation a = 2 + 3a + 8? (5 points)

Mathematics
1 answer:
Luba_88 [7]2 years ago
5 0

Step-by-step explanation:

a = 2 + 3a + 8

a = 10 + 3a

a - 3a = 10

-2a = 10

a = -5

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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
3 years ago
Here is a list of ages (years) of children in a room <br><br> 8,7,5,4,7,7,2<br><br> State the median
Lina20 [59]

Answer:7

Step-by-step explanation:

To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8

next you have to find the number in the middle

That is your median, 7 is your median.

6 0
3 years ago
Y’all help, I have no idea what sec is or how to find it
IRINA_888 [86]
Sec is the length of the hypotenuse divided by the length of the adjacent side.

Meaning divide 20/16

Meaning your secant or sec is 1.25 or 1 1/4
7 0
3 years ago
i am a solid figure with two congruent polygons that are bases,connected with lateral face that are rectangles.
BabaBlast [244]
Rectangular prisim is the answer
6 0
3 years ago
X=17-4y<br> y=x-2<br> answer by substitution
GaryK [48]

Answer:

(5,3)

Step-by-step explanation:

x=17-4y

x=17-4x+8

x=25-4x

5x=25

x=5

y=x-2

y=5-2

y=3

(5,3)

5 0
3 years ago
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