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FrozenT [24]
3 years ago
15

Find the value of x if Sin80 = Cos( 90 -x)

Mathematics
1 answer:
natita [175]3 years ago
5 0

Answer:

80

Step-by-step explanation:

\sin(80)  =  \cos(10)  \\ 90 - x = 10 \\ x = 80

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Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0
3 years ago
What is the sum of the series?​
Mamont248 [21]

Answer:

45

Step-by-step explanation:

Since the values are relatively small substitute i = 1 to 5 into 3i and sum

(3 × 1) + (3 × 2) + (3 × 3) + (3 × 4) + (3 × 5)

= 3 + 6 + 9 + 12 + 15

= 45

6 0
3 years ago
PLS HELP FIND THE MISSING ANGLE !!!!! <3
denis-greek [22]
It’s 100°! I cause 75+75 = 150 and if the circle is 350 then 150-350 = 200 and 200÷2 is 100
8 0
2 years ago
What is the slope of the line shown in the graph? <br> A.-3/2<br> B.-1/2<br> C.3/2
Varvara68 [4.7K]
I think answer is A
Because slope=rise/run
Rise is 3
Run is 2
But it will be negative because of the direction of slope
6 0
3 years ago
3) At a school several teachers were holding a contest to see which class could earn the most trivia points. Mrs. Clawson's clas
Snezhnost [94]

Answer:

Mean: 89

Median: 90

Mode: 94

Range: 12

5 0
2 years ago
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