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slamgirl [31]
2 years ago
6

Find the indicated angle or side. Give an exact answer. Find the measure of angle A in degrees.

Mathematics
1 answer:
Anna35 [415]2 years ago
8 0

Step-by-step explanation:

law of cosine :

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of C.

so, in our case

3² = 3² + 3²×3 - 2×3×3×sqrt(3)×cos(A)

0 = 3²×3 - 18×sqrt(3)×cos(A)

27 = 18×sqrt(3)×cos(A)

cos(A) = 27/(18×sqrt(3)) = 3/(2×sqrt(3)) =

= 0.866025404...

A = 30°

FYI : since it is an isoceles triangle, C = A = 30°.

and therefore B = 180 - 30 - 30 = 120°.

as the sum of all angles in a triangle is always 180°.

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Evaluate each expression. Enter the correct answers in the boxes. (60−6)×(13)3+27÷3= ( 60 − 6 ) × ( 1 3 ) 3 + 27 ÷ 3 = 82÷4×(2+3
11Alexandr11 [23.1K]

Answer:

2115

Explanation:

To evaluate the expression (60−6)×(13)3+27÷3 we use BODMAS

BODMAS is an acronym/rule in mathematics that dictates the order we should solve mathematical operations such as the above.

BODMAS stands for bracket first, order or of, division, multiplication, addition and then lastly subtraction

To solve the expression using BODMAS, we solve the brackets first

(60−6)×(13)3+27÷3 =54×39+27/3

Then division

=54×39+9

=2106+9

Then addition

=2106+9=2115

Answer=2115

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Jimmy and Tony observed two points, P and Q, on a number line. A number line is shown from negative 1 to positive 1 with increme
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<span>Jimmy said that the absolute values of the numbers represented by the two points are the same. 
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