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2 years ago

Solve ABC c=10, B=35°, C=65%

Mathematics

1 answer:

NISA [10]2 years ago

5 0

Answer:

Part 1) The measure of angle A is $A=80\°$

Part 2) The length side of a is equal to $a=10.9\ units$

Part 3) The length side of b is equal to $b=6.3\ units$

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

$A+B+C=180\°$

substitute the given values

$A+35\°+65\°=180\°$

$A+100\°=180\°$

$A=180\°-100\°=80\°$

step 2

Find the length of side a

Applying the law of sines

$\frac{a}{sin(A)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}$

$a=\frac{10}{sin(65\°)}(sin(80\°))$

$a=10.9\ units$

step 3

Find the length of side b

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute the given values

$\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}$

$b=\frac{10}{sin(65\°)}(sin(35\°))$

$b=6.3\ units$

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3 years ago

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kipiarov [429]

Answer:

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Step-by-step explanation:

The slope of the equation that was given is - 2/3

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Now you need to use the given point

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2 years ago

Drag and drop the correct answer underneath the question!

HACTEHA [7]

Answer:

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Step-by-step explanation:

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3 years ago

Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.

bekas [8.4K]

Answer:

For the yes/no bit:

step 1: no

step 2: no

step 3: yes

step 4: yes

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Step-by-step explanation:

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step 1 is wrong because she didn't multiply $-\frac{5}{4}a$ by -2

step 2 is wrong because she subtracted 1/2 instead of adding it

step 3 is correct because 6 - 1/2 = 11/2

step 4 is correct because she correctly multiplied both sides by 4

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for the final answer bit, I've attached an image below with my working out. hope this helps!

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2 years ago

Find a polynomial of degree 3 with real cofficients and zeros of -3,-1,4 for which f(-2)=24

konstantin123 [22]

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3 years ago

Solve ABC c=10, B=35°, C=65%​

Solve ABC c=10, B=35°, C=65%