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kkurt [141]
3 years ago
11

What is the measure of angle A

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

The angle of A is 80°

Step-by-step explanation:

Given that angle A lies on a straight line which is 180°. So in order to find A, you have to substract 100° from 180° :

∠A + 100° = 180°

∠A = 180° - 100°

∠A = 80°

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bearhunter [10]

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

5 0
3 years ago
A new soup recipe contains 33\%33%33, percent less sodium per serving than the old soup recipe. The old soup recipe contained xx
Mashcka [7]

Answer:

0.67x mg

Step-by-step explanation:

expression that could represent the amount of sodium per serving, in milligrams, in the new soup recipe

33% less than the old

old contains x mg

new soup: x - 33%x = x - 33/100x = x - 0.33x = 0.67x mg

67%x mg

3 0
3 years ago
Read 2 more answers
-8x+2y=-2<br> 4x+4y=-4<br> What is the solution to the system
pickupchik [31]

The solution to system is x = 0 and y = -1

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

-8x + 2y = -2 ----------- eqn 1

4x + 4y = -4 ---------- eqn 2

We have to solve the system of equations

We can solve the equations by elimination method

<em><u>Multiply eqn 2 by 2</u></em>

8x + 8y = -8 ------ eqn 3

<em><u>Add eqn 1 and eqn 3</u></em>

-8x + 2y = -2

8x + 8y = -8

( + ) ---------------

0x + 2y + 8y = -2 - 8

10y = -10

Divide both sides by 10

y = -1

<em><u>Substitute y = -1 in eqn 1</u></em>

-8x + 2(-1) = -2

-8x - 2 = -2

-8x = -2 + 2

x = 0

Thus the solution to system is x = 0 and y = -1

3 0
3 years ago
HELP! WILL MARK BRAINLIEST WITH A EXPLANATION!!!!please &amp; thank u
mamaluj [8]

Answer:

The answer is A

Step-by-step explanation:

8 0
3 years ago
Take any three digit number. Reverse its digits and subtract the smaller of the two numbers from the larger. Determine what numb
rjkz [21]

Answer: 11 is the required number that always divides such differences for the following types of numbers.

Step-by-step explanation:

Take any 3 - digit number, say, 325

On reversing its digit it becomes, 523

On subtracting the smaller of the two numbers from the larger,523-325\\\\=198

we can see that 198 is an even number.

take another number say, 629

On reversing its digit, it becomes = 926

On subtracting , we get that

926-629=297

But 297 is not an even number.

But there is one common in both the cases is that both the differences are divisible by 11.

Hence, 11 is the required number that always divides such differences for the following types of numbers.

8 0
3 years ago
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