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Wittaler [7]
3 years ago
10

In △ABC, m∠A=15°, a=9, and b=10. Find c to the nearest tenth.

Mathematics
1 answer:
nadya68 [22]3 years ago
5 0

In △ABC, m∠A=15°, a=9, and b=10

We apply sine law

\frac{ sin(a)}{b} = \frac{sin(b)}{b} = \frac{sin(c)}{c}

\frac{ sin(a)}{b} = \frac{sin(b)}{b}

\frac{ sin(15)}{9} = \frac{sin(b)}{10}

\frac{sin 15}{9} * 10 = sin(b)

0.287576716 = sin(b)

b= 16.7129 degree

angle A= 15 degree, angle B = 16.71 degree

So angle C = 148.29

\frac{ sin(a)}{b} = \frac{sin(c)}{c}

\frac{ sin(15)}{9} = \frac{sin(148.29)}{c}

c= \frac{sin(148.29)}{sin(15)} *9

c= 18.28



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6 0
3 years ago
1.find the sum. (3^3+5x^2+3x-7)+(8x-6x^2+6)<br> 2. Find the Difference: (8x-4x^2+3\)-(x^3+7x^2+3x-8)
vlada-n [284]

1.

(3^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=27\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=-x^2+11x+26

or if you mean (3x^3+5x^2+3x-7)+(8x-6x^2+6):

(3x^3+5x^2+3x-7)+(8x-6x^2+6)=\\\\=3x^3\ \underline{+\,5x^2}\ \underline{ \underline{+\,3x}}-7\ \underline{\underline{\,+8x}}\ \underline{-\,6x^2}+6=\\\\=3x^3-x^2+11x-1

2.

(8x-4x^2+3)-(x^3+7x^2+3x-8)=\\\\=\underline{8x}\ \underline{\underline{-\ 4x^2}}+3-x^3\ \underline{\underline{-\,7x^2}}\ \underline{-\,3x}+8=\\\\=-x^3-11x^2+5x+10

3 0
3 years ago
What is 6 over 15 as a fraction with a denominator of 20
Serga [27]
8 over 20 equals 6 over 15
3 0
3 years ago
What is the measure of 1 (1 point) 45 60 120 125?
Nuetrik [128]

Answer:

120°

i finished the quiz and that what i got

and for the rest

1.b

2.d

3.a

4.c

and number 5 is the first answer that i wrote

Step-by-step explanation:

3 0
3 years ago
There are 32 students in Jenna's class. Jenna brought in 14 cupcakes. Which equation can be used to find the number of cupcakes
snow_lady [41]

Answer:

n = 32 - 14  (= 18)

Step-by-step explanation:

You haven't given the answer options, however I assume it will be written in this form. I.e. the number of cupcakes still needed is just the total number of students (32) minus the number that Jenna bought (14).

so n = 32 -14 (=18)

3 0
3 years ago
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