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vodka [1.7K]
3 years ago
15

Given sec theta=-4/3 and 90°

Mathematics
1 answer:
hoa [83]3 years ago
3 0

Answer:

Option A.

Step-by-step explanation:

It is given secθ = - \frac{4}{3}

then cosθ = -\frac{3}{4}

Now we know the identity

sinθ = \sqrt{1-cos^{2}\theta }

       = \sqrt{1-(-\frac{3}{4} )^{2}}

       = \frac{\sqrt{7} }{4}

Now sin2θ = 2sinθcosθ

Now we put the values of cosine and sine in the formula

sin2θ = 2×(-\frac{3}{4})(\frac{\sqrt{7}}{4})

         = -\frac{3\sqrt{7}}{8}

Therefore, option A. is the answer.

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Using the inverse trig functions, find the measure of angle Z to the nearest degree.
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Answer:

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Step-by-step explanation:

because y is 90 and x is 20 so z is 71

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Step-by-step explanation:

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4 years ago
Plz help asap thank youuu
wariber [46]

Answer:

1. y = 0, b/a

2. y =  0, a/b

3. y =0, c/b

4. y =0, c/a

Step-by-step explanation:

The slope formula for y = mx + b which is known as standard form is Ax + By ≥ C

slope = A/B

x-intercept = C/A

y-intercept = C/B

and now we are dueling with y, so we will use y-intercept

1. cx + ay = b

where c is x, a = y and b=c

Y-int = C/B

y = 0, b/a

2. cx + by = a

y =  0, a/b

3. ax + by = c

y =0, c/b

4. bx+ ay = c

y =0, c/a

Hope this helps

7 0
4 years ago
HELP!! ANSWER AND SHOW STEPS IF POSSIBLE! ASAP HELP PLEASE
Schach [20]
<span>1.) Previous balance = 3529.30
APR = 18.6%, thus monthly interest rate = 18.6 / 12 = 1.55%
Previous balance + interest = 3529.30(1 + 0.0155) = 3584.00
New balance after transaction = 3584.00 + 148 = 3732.00

2.) Previous balance = 5834.53
APR = 20.4%, thus monthly interest rate = 1.7%
Previous balance - payment = 5834.53 - 150 = 5680.53
Balance + interest = 5634.53(1 + 0.017) = 5781.17
New balance after transaction = 5781.17 + 325 = 6106.17

3.) Total payment = 15264
Number of payments = 72 monthly payments
Monthly payment = 15264 / 72 = 212

4.) Amount bollowed = 7400 at 7% APR
Amount plus interest = 7400(1 + 0.07) = 7918
Monthly payment = 7918 / 12 = 659.83
</span>
5 0
4 years ago
Read 2 more answers
You are planning to make an open rectangular box from aa 4141​-in.-by-8181​-in. piece of cardboard by cutting congruent squares
marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0
3 years ago
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