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3 years ago

If cos thetha =-0.96 and (sec thetha)(sin thetha)>0 find the value of tan thetha

1 answer:

7 0

Cos(theta)=-0.96 <0
=>
theta is either in the 2nd or third quadrant.

cos(theta)=-0.96
=>
sec(theta)=1/cos(theta)=-1/0.96 <0

Given sec(theta)(sin(theta)>0
=> cos(theta)sin(theta)>0
=> cos(theta) and sin(theta) have the same sign,
=> sin(theta)<0
=>
theta is in the third quadrant. => tan(theta)>0

Given cos(theta)=-0.96
=>
|sin(theta)|=sqrt(1-(-0.96)^2)=sqrt(0.0784)=0.28
=> sin(theta)=-0.28

Finally,
tan(theta)=sin(theta)/cos(theta)=-0.28/-0.96
=7/24
=0.29167 (to the fifth decimal place)

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Determine the standard form of the equation of the line that passes through (6,0) and (2,-7).

lesya [120]

Answer:

-7x + 4y = +42

Step-by-step explanation:

Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.

Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:

0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.

We must put this into "standard form." Multiplying all three terms by 4, we get:

4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:

-7x + 4y = +42

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3 years ago

Solve 27 and 29, will give BRAINLIST!!

otez555 [7]

Answer:

see below

Step-by-step explanation:

27.

We can use ratios to solve

152 dollars 532 dollars

---------------- = ----------------

4 days x days

Using cross products

152x = 4*532

152x =2128

Divide each side by 152

152x/152 = 2128/152

x =14

14 days

29.

1 inch 2/3 inches

------------ = ----------------

6.5 ft x ft

Using cross products

1x = 2/3 * 6.5

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3 years ago

Read 2 more answers

Simplify. Express your answer as a single term, without a denominator. t0u/tu

SIZIF [17.4K]

Yes that is correct always

7 0

3 years ago

If f(x) = 3x - 1 and g(x) = x + 2, find (1-9)(x).

Studentka2010 [4]

Answer:

$(f-g)(x)=2x-3$

Step-by-step explanation:

<em>The correct question is</em>

If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)

we know that

(f-g)(x) is equal to subtract the function g(x) from the function f(x)

$(f-g)(x)=f(x)-g(x)$

substitute the given functions

$(f-g)(x)=(3x-1)-(x+2)$

Remove the parenthesis

$(f-g)(x)=3x-1-x-2)$

Combine like terms

$(f-g)(x)=2x-3$

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3 years ago

Help, please. I just need an answer, so if anyone is bored, for the love of god please...

Alla [95]

Answer:B & E

Step-by-step explanation:

We can first rearrange the function to isolate y. Then, we can find the slope as the function is in the form y=mx+b.

$3x-4y=7\\-4y=-3x+7\\y=\frac{3}{4}x-\frac{7}{4}$

Since parallel lines have the same slope, we can put the slope of 3/4 into the point slope form to get the answer.

<em>For reference, the point-slope form is </em> $y-y_1=m(x-x_1)$

$y+2=\frac{3}{4}(x+4)\\y+2=\frac{3}{4}x+3\\y=\frac{3}{4}x+1$

The first line is found in option E, so option E is one of the correct options.

We can also move the x to the other side, as two of the 5 options have both variables on the left (B and C).

$-\frac{3}{4}x+y=1$

If we multiply the whole equation by -4, we can get rid of the fraction.

$-4(-\frac{3}{4}x+y)=-4(1)\\3x-4y=-4$

Hence, option B is also correct.

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1 year ago