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3 years ago

The measure of angle A to the nearest tenth of a degree is: A 18.5 B 19.5 C 20.5

Mathematics

1 answer:

Andrew [12]3 years ago

6 0

Answer:

Step-by-step explanation:

This is a right triangle as shown by the right angle.

The side opposite the right angle is the hypotenuse, which is 9.
The side opposite angle A is 3.

So we have the opposite of A and the hypotenuse.

The trigonometric ratio that relates opposite side to hypotenuse is SINE.

$sin\theta=\frac{opposite}{hypotenuse}$

Since, we need angle A, $\theta$ is A, opposite side is 3, and hypotenuse is 9, we substitute:

$sinA=\frac{3}{9}\\sinA=\frac{1}{3}$

To solve for the angle, we use our calculator and find the inverse sin of $\frac{1}{3}$ :

$A=sin^{-1}(\frac{1}{3})\\A=19.47$

Rounding to nearest tenth of a degree:

$A=19.5$

B is the right choice.

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2. Alicia is writing the program for a video game. For one part of the game she uses the rule to move points on the screen.

Gwar [14]

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

$x = -6$

$y = 0$

The outputs is as follows;

$x => x - 3$

$x => -6 - 3$

$x => -9$

$y=> y + 4$

$y=> 0 + 4$

$y=> 4$

Hence:

The output is (-9,4)

Solving (b):

Inputs:

$x = 3$

$y = -4$

The outputs is as follows;

$x => x - 3$

$x=>3-3$

$x = 0$

$y=> y + 4$

$y=>-4+4$

$y=>0$

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

5 0

2 years ago

DA is tangent to the circle at A and DC is tangent to the circle at C. Find m

vesna_86 [32]

Answer:

its A im pretty sure

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Please help I will give brainly

Angelina_Jolie [31]

Answer:

The slope of the line is 2.

This means that Jan runs 2 laps every 1 minute.

4 0

3 years ago

2. Solve. x2 - 72 = 0

Effectus [21]

Answer:

x = ± 6 $\sqrt{2}$

Step-by-step explanation:

Given

x² - 72 = 0 ( add 72 to both sides )

x² = 72 ( take the square root of both sides )

x = ± $\sqrt{72}$ = ± $\sqrt{36(2)}$ = ± 6 $\sqrt{2}$

7 0

2 years ago

Read 2 more answers

(d) Given that n(§) = 96, n(A) = 50 and n(B) = 60. Find the maximum and minimum values for n(An B).

frez [133]

Step-by-step explanation:

the max. value is when the smaller set (A) is completely contained in the larger set (B).

then n(A n B) is n(A) = 50.

the set intersection between A and B cannot get bigger than that. or A gets bigger ...

after all, the intersection means it is a set of all elements that exist in BOTH sets.

but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.

the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.

in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.

3 0

1 year ago