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3 years ago

Help please/////////////////////

Mathematics

1 answer:

Wewaii [24]3 years ago

7 0

i dont understand the question

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Can someone please help me answer these 2 questions with a full explanation so I can do the rest on my own? will give brainliest

Anton [14]

Answer:

a) ∠ABC = 54°

a) ∠ABC = 43°

Step-by-step explanation:

Trigonometric ratios

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Part (a)

Use the cos trig ratio to find an expression for the measure of BD:

$\implies \sf \cos (38^{\circ})=\dfrac{BD}{24.3}$

$\implies \sf BD=24.3\cos (38^{\circ})$

Use the cos trig ratio and the found length of BD to find angle ABD:

$\sf \implies \cos(ABD)=\dfrac{BD}{19.9}$

$\sf \implies \angle ABD=\cos^{-1}\left(\dfrac{24.3\cos (38^{\circ})}{19.9}\right)$

$\sf \implies \angle ABD=15.79446612...^{\circ}$

Therefore:

$\sf \implies \angle ABC=\angle ADB + 38^{\circ}$

$\sf \implies \angle ABC=15.79446612...^{\circ}+ 38^{\circ}$

$\sf \implies \angle ABC=54^{\circ}\:\:(nearest\:degree)$

Part (b)

Use the tan trig ratio to find angle CAD:

$\implies \sf \tan(CAD)=\dfrac{4.9}{7.4}$

$\implies \sf \angle CAD=\tan^{-1} \left(\dfrac{4.9}{7.4}\right)$

$\implies \sf \angle CAD=33.5110188...^{\circ}$

Therefore:

$\sf \implies \angle BAD=13^{\circ}+33.5110188...^{\circ}$

$\sf \implies \angle BAD=46.5110188...^{\circ}$

∠ABC = ∠ABD

Interior angles of a triangle sum to 180°

$\sf \implies \angle ABD + \angle BAD + \angle BDA=180^{\circ}$

$\sf \implies \angle ABC + 46.5110188...^{\circ} + 90^{\circ}=180^{\circ}$

$\sf \implies \angle ABC=43^{\circ}\:\:(nearest\:degree)$

4 0

2 years ago

May i have some help please?

fenix001 [56]

Answer:

a+b=5/2a, a+b=5/3b

Step-by-step explanation:

1.2a=0.8b

6/5a=4/5b

6a=4b

b=3/2a, a=2/3b

a+b=3/2a+a

a+b=5/2a

a+b=2/3b+b=5/3b

5 0

3 years ago

Read 2 more answers

Which of the following relations is a function?

Agata [3.3K]

Answer:

Step-by-step explanation:

Because in D, there no x-value that are repeating in the list.

For example A, the value 8 and -8 are being repeated twice, which makes this relation not a fuction.

5 0

3 years ago

Use the table to identify values of p and q that can be used to factor

liberstina [14]

It would be C. -2 and 6

3 0

3 years ago

1/x=6/x+15 , 20-x/x=6/4, and 4/12=x+2/2x+13

natka813 [3]

1/x=6/x+15 x= -1/3
20-x/x=6/4 = False, no solution exists
4/12=x+2/2x+13 = x = -19/3

5 0

3 years ago