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3 years ago

TEST PLEASE SOLVE ASAP ! WILL MARK BRAINLIEST

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

5 0

Answer:

Angle A = 68 Angle B = 22 AC = 15.8

Step-by-step explanation:

sin(x) = Opposite/Hypotenuse

sin(A) = 40/43

A = sin^-1(40/43)

A = 68.47109559 = 68

cos(x) = Adjacent/Hypotenuse

cos(B) = 40/43

B = cos^-1(40/43)

B = 21.52890441 = 22

43^2 - 40^2 = 3449 Pythagoras' Theorem

$\sqrt{249}$ = 15.77973384 = 15.8

I hope this helps!!

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Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box. What is the probab

SCORPION-xisa [38]

Answer:2/5

Step-by-step explanation: ok so you take everything and you add it up you get a total of 10 then if you were going to grab a purple one there are 4 purple bows you can then simplify 4/10 to 2/5 and there is your aswer.

3 0

3 years ago

If tan theta = 12/5 and cos theta < 0, what is sin theta ?

Talja [164]

1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
cos Ф>0 ⇔ sec Ф>0 ⇔ sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1 ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0 ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0

3 years ago

Please help thank you.

Mnenie [13.5K]

Answer:

Option D

Step-by-step explanation:

Whenever we take a square root of a number the ± sign is with it like here in the question

$x^2=20\\\\Apply\ square\ root\ on\ both\ sides\\sqrt{x^2}=\sqrt{20} \\\\The\ square\ cancels\ out\ with\ the\ root\x=\sqrt{20}$

And then x = ±4.47 which means x has two values one is +4.47 and the other is -4.47 so Option D is our answer.

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3 years ago

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Ratling [72]

8x - adults
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$8x+5x=390\\
13x=390\\
x=30\\\\
5x=5\cdot30=150$

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3 years ago

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galina1969 [7]

Answer:

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Step-by-step explanation:

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