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nadezda [96]
3 years ago
6

7+8(3.2.2) what is the answer to this problem break it all the way down

Mathematics
1 answer:
larisa [96]3 years ago
3 0

In order to solve this we will have to apply PEMDAS rule which is as follows:

P

Parentheses first

E

Exponents (ie Powers and Square Roots, etc.)

MD

Multiplication and Division (left-to-right)

AS

Addition and Subtraction (left-to-right)

7+8(3.2.2)

Step 1:

Here we will solve the parenthesis first :

multiplying 3.2.2 =12

so we have 7+8(12)

Step 2:

now we multiply 12*8 here

12*8=96

7+96

Step 3:

addition of 7 and 96 gives us 103

Answer : 7+8(3.2.2) = 103

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In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,
Alexxx [7]

Answer:

(A)∠A = 82.2°,∠C = 62.8°, c = 17.1

Step-by-step explanation:

In Triangle ABC

∠B=35°

a=19

b=11

Using Law of SInes

\dfrac{a}{\sin A} =\dfrac{b}{\sin B} \\\dfrac{19}{\sin A} =\dfrac{11}{\sin 35^\circ} \\11*\sin A=19*\sin 35^\circ\\\sin A=(19*\sin 35^\circ) \div 11\\A= \arcsin [(19*\sin 35^\circ) \div 11]\\A=82.2^\circ

Now:

\angle A+\angle B+\angle C=180^\circ\\35^\circ+82.2^\circ+\angle C=180^\circ\\\angle C=180^\circ-[35^\circ+82.2^\circ]\\\angle C=62.8^\circ

Using Law of Sines

\dfrac{c}{\sin C} =\dfrac{a}{\sin A} \\\dfrac{c}{\sin 62.8^\circ} =\dfrac{19}{\sin 82.2^\circ}\\c=\dfrac{19}{\sin 82.2^\circ}*\sin 62.8^\circ\\\\c=17.1

Therefore:

∠A = 82.2°,∠C = 62.8°, c = 17.1

The correct option is A.

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Answer:

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Step-by-step explanation:

No.

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