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2 years ago

10

Find tan Ø, given that sin Ø = - 4/5 and cos Ø>0.

1 answer:

Contact [7]2 years ago

5 0

Answer:

Option 2). -4/3 is the correct answer

Step-by-step explanation:

It is given that,

sin Ø = - 4/5 and cos Ø>0.

sin Ø = opposite side/hypotenuse = - 4/5

Adjacent side = square root (hypotenuse² - opposite side²)

= square root (5² - 4²) = √9 = +3 or -3

cos Ø =Adjacent side/hypotenuse

It is given that, cos Ø>0

cos Ø = 3/5

Therefore tan Ø = Opposite side/Adjacent side = 4/3 or -4/3

The second option is the correct answer -4/3

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Answer:

Use this formula for these kinda things.

Step-by-step explanation:

Remember The z is the hypathonous, it means the biggest side.

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where Z is going to be C

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2 years ago

What is the area of the shaded sector?

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The area of the shaded sector is one-fourth of the area of the whole circle so:
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2 years ago

Read 2 more answers

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

m_a_m_a [10]

Answer:9 nickels and 19 dimes.

Step-by-step explanation:

Let $n$ be the number of nickels Kay has.

Let $d$ be the number of dimes Kay has.

Value of $1$ nickel is $ $0.05$

Value of $n$ nickels is $ $0.05n$

Value of $1$ dime is $ $0.1$

Value of $d$ nickels is $ $0.1dn$

Given that Kay has a total of $28$ coins.

So, $n+d=28$ ...(i)

Given that Kay has a total value of $ $2.35$

So, $0.05n+0.1d=2.35$ ...(ii)

Using (i) and (ii),

$0.05n+0.1(28-n)=2.35\\0.05n+2.8-0.1n=2.35\\2.8-2.35=0.05n\\0.45=0.05n\\n=9$

$d=28-n=28-9=19$

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3 years ago

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Step-by-step explanation:

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2 years ago

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Fernell and Dabney shared the driving

Agata [3.3K]

Answer:

15 hours

Step-by-step explanation:

Given:

Fernell's speed $v_F= 50$ mph

Dabney's speed $v_D= 64$ mph

Denote:

$D_F$ - distance covered by Fernell

$D_D$ - distance covered by Dabney

$t_F$ - Fernell's time

$t_D$ - Dabney's time

1. If Fernell drove for 3 hours longer than Dabney, then his time is 3 hours more than Dabney's time and

$t_F=t_D+3$

2. If Fernell covered 18 miles less than Dabney, then

$D_D-D_F=18$

Use formula $D=t\cdot v$

$D_D=v_D\cdot t_D\Rightarrow D_D=64\cdot t_D\\ \\D_F=v_F\cdot t_F\Rightarrow D_F=50\cdot (t_D+3)$

Subtract from the first equation the second equation and equate it to 18:

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$t_F=t_D+3=12+3=15\ \text{hours}$

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2 years ago