1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
The dot plot below represents a set of
mel-nik [20]
1, 3, 3, 4, 5, 6, each x is one of each number below
3 0
2 years ago
Write the expression-3x2+2y2+5xy-2y+5x2-3y2 in simplest form A how many terms are in the simplified expression? B how many terms
Misha Larkins [42]
If the twos mean squared...
2x^2-y^2+5xy-2y

4 terms
3 0
3 years ago
Read 2 more answers
Area and percent . ​
siniylev [52]

Answer:

a. 61.92 in²

b. 21.396 ≈ 21.4%

c. $4.71

Step-by-step explanation:

a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out

Area of rectangular piece of stock = 24 in × 12 in = 288 in²

Area of the two circles = 2(πr²)

Use 3.14 as π

radius = ½*12 = 6

Area of two circles = 2(3.14*6²) = 226.08 in²

Amount of waste = 288 - 226.08 = 61.92 in²

b. % of the original stock wasted = amount of waste ÷ original stock × 100

= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%

c. 288 in² of the piece of stock costs $12.00,

Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288

= 1,356.48/288 = $4.71.

3 0
3 years ago
Simplify (3×22)÷6+(28-(4)2=
polet [3.4K]
(3*22)divide 6 + (28-(4)2=
31
5 0
2 years ago
The slope of the line below is -5 which of the following is the point-slope form of the line (2,-8)
insens350 [35]
The point slope form has the following syntax.

y - y_1 = m(x - x_1)
m = slope = -5 
y - y_1 = -5(x - x_1)
(x,y) = (2,-8)
x_1 = 2
y_1 = -8
y - y_1 = -5(x - x_1)
y - (-8) = -5(x - 2)
y + 8 = -5(x - 2)  <------Answer

3 0
3 years ago
Other questions:
  • Translate the word phrase into a math expression. 15 fewer than the product of 4 and a number.
    13·2 answers
  • Hey rwillcat, do u like my new profie picture
    10·2 answers
  • How do you solve 9 2/3 minus 3 5/6
    14·1 answer
  • Solve the equation x/4 - 7 = y got x
    14·1 answer
  • Find the y-intercept of the line: -2x -3y = 18
    8·1 answer
  • If the triangles are similar which are true
    11·1 answer
  • Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage r
    6·1 answer
  • Find the approximate area of a semicircle with a radius of 6 centimeters.
    8·1 answer
  • Please help i have to get this all done by tommorw
    10·1 answer
  • Graph the inequality 2y+1 &gt; 0.8x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!