suppose cos(a)=4/5. use the trig identity sin^2(a)+cos^2(a)=1 to find sin(a) in quadrant IV.

Answers

Answer 1

Answer:

sin a = -3/5

Step-by-step explanation:

sin^2(a)+cos^2(a)=1

sin^2(a)+ (4/5)^2 = 1

sin^2(a) = 1 - 16/25 = 9/25

sin a = 3/5 ( in Quadrant 1)

In quadrat IV the sine is negative

so sin a = -3/5


Related Questions

What is the solution to the inequality?
n - 15 > -5
pls help ‍♀️

Answers

Step-by-step explanation:

Given inequality

n - 15 > - 5

The inequality can also be written as :

n - 15 = - 5

n = - 5 + 15

n = 10

or

n > 10

Hope it will help :)

Answer:

n>10

Step-by-step explanation:

n-15>-5

n>-5+15

n>10

The equations 3x - 4y = -2,4x-y-4, 3x+4y= 2, and 4x+y=-4 are shown on the graph below.
-5
0
5 X
Which is the approximate solution for the system of equations 3x+4y = 2 and 4x+y=-4?

Answers

Answer:b

Step-by-step explanation:

juanyra,hannah,and bella went out for pizza.juanyra ate 1/3 of the pizza,hannah ate 2/6 of the pizza,and bella ate 1/4 of the pizza.how much did they eat toghether.

Answers

Answer:

1 - (1/4 + 2/3)

1 - (3/12 + 8/12)

1 - 11/12

1/12 left

Which is equivalent to 72 inches?
O A 0.72 yards
O B. 2 yards
O c. 6 yards
O D. 7.2 yards
O E. 36 yards

Answers

the answer is B because there is 36 inches in 1 yard

Answer:

Its 2 yards

Step-by-step explanation:

divide 72 by 36

Which pair of numbers has a sum of 100?

( A) 39,61

(B) 49,61

(C) 59, 51

(D) 39,51

Answers

Answer:

a

Step-by-step explanation:

 39+61 is the only pair that make 100.

Help me please!!!!!!!!!!!!

Answers

angle 4 is 144
180- angle 3 (36degrees) = 144 degrees

what’s the slope of the line? i’m marking a brainliest!

Answers

Answer:

m = -2

Step-by-step explanation:

To get the slope of the line, we are going to use the 2-points slope equation form

That will be;

m = (y2-y1)/(x2-x1)

(x1,y1) = (-5,11)

(x2,y2) = (8,-15)

m = (-15-11)/(8-(-5)) = -26/13 = -2

The possible mistake she might have made is placing the x-values difference over the y and her formula will look like;

m = (x2-x1)/(y2-y1)

It is an error of switching the numerator for the denominator

solve for x in : 5^{2x-1} =12^{x}

Answers

Answer:

x=2.192785

Step-by-step explanation:

52x−1=12x

log(52x−1)=log(12x)

(2x−1)*(log(5))=x*(log(12))

2x−1=(

log(12)

log(5)

)*(x)

2x−1=1.543959*x

2x−1=1.543959x

2x−1−1.543959x=1.543959x−1.543959x 1.543959x

0.456041x−1=0

0.456041x−1+1=0+1

0.456041x=1

0.456041x

0.456041

=

1

0.456041

0.456041)

x=2.192785

Answer:

x = 2.19

Step-by-step explanation:

Given that,

An equation, [tex]5^{2x-1} =12^{x}[/tex]

To find,

The value of x.

Solution,

We have,

[tex]5^{2x-1} =12^{x}[/tex]

Taking log both sides,

[tex]\text{log}(5^{2x-1})=\text{log}(12^x)[/tex]

We know that,

[tex]\text{log}\ a^n=n\ \text{log}a[/tex]

So,

[tex](2x-1)\text{log}5=x\ \text{log}12[/tex]

So,

[tex](2x-1)0.6989=1.0791x\\\\1.3978x-0.6989=1.0791x\\\\1.3978x-1.0791x=0.6989\\\\0.3187x=0.6989\\\\x=\dfrac{0.6989}{0.3187}\\\\x=2.19[/tex]

So, the value of x is equal to [tex]2.19[/tex].

Reference,

https://brainly.com/question/14968632

I need help asap!! This is an i-ready lesson.

Answers

Answer:

.........jdjdjdndjxbxbbxx

Answer: A because it keep going none stopping

Step-by-step explanation:

PLEASE HELP!!! I need an urgent answer and I'll give brainiest just please answer this easy question!

Answers

do like show in pic

hope it helps you

Please help with ALEKS >-< ..................................

Answers

Answer:

4.5

Step-by-step explanation:

From the file, we see that;

Horizontal distance from bottom of ladder to side of house = 2

Length of ladder leaning against side of the house = 4 m.

Now we want to find the distance from the top of the ladder to the ground which we can call d.

Thus we can find it from pythagoras theorem.

d = √(2² + 4²)

d = √(4 + 16)

d = √20

d = 4.47

To the nearest tenth gives;

d = 4.5

In UVW, u = 190 cm, v = 380 cm and w=560 cm. Find the measure of ZW to the
nearest 10th of a degree

Answers

Answer:

157.2

Step-by-step explanation:

Delta math

Answer:  157.2  degrees

Step-by-step explanation: Use law of cosines

(4x+7) (4x-7)=
give the solution pleasee​

Answers

Answer:

16x - 49

Step-by-step explanation:

Answer:

Im not sure 4x+8 and then 4×-7??? do it on your calendar frl amd you can see amd type exactly what the guesting..

A store wants employees to start wearing uniforms to work. The plans to purchase the uniforms and hand out 5 uniforms to every employee one for each day or the week. Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms. How many employees can the store give uniforms to?

Answers

Answer:

89 employees

Step-by-step explanation:

Uniforms come in packs of 8, and the store plans to purchase 56 packs of uniforms.

This means

1 pack = 8 uniforms

56 packs = x uniforms

Cross Multiply

x = 56 × 8 uniforms

x = 448 uniforms

The plan is to hand out 5 uniforms to every employee one for each day or the week.

Hence, the number of employees that the store can give can uniforms to is calculated as:

5 uniforms = 1 employee

448 uniforms = x employees

Cross Multiply

5x = 448 × 1 employee

x = 448/5

x = 89.6 employees.

Since a person cannot be represented by decimal, the store can give uniforms to 89 employees

What is the midpoint between points (4, 7) and (1, 1)?

Answers

Answer:

(2.5, 4)

Step-by-step explanation:

Refer to the formula above. We will sub our points into it.

(4, 7) (1, 1)

(x¹, y¹) (x², y²)

[tex]( \frac{4 +1}{2} \frac{7 + 1}{2} )[/tex]

(5/2, 8/2)

(2.5, 4)

Jon and Keith save money at the end of each month and begin saving money at the same time . Jon's savings after m months are modeled with the formula f(m) = 40m + 20 Keith's savings after m months are modeled with the formula g(m) = 35m + 45 At the end of how many months will they have saved the same amount of money ?

Answers

Answer:

g5654

Step-by-step explanation:

a b c d e f g h i j k l m n o p q r s t u v w x y z

Answers

Answer:

???

Step-by-step explanation:

Answer:

now i know my abc's

Step-by-step explanation:

Please help urgent !!

Answers

A or D. not sure 'bout it. sorry.

Answer:

b. [tex] {x}^{4} \:varies \: directly \: as \: y[/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{4} }{y} = 7 \\ \\ \implies {x}^{4} = 7y \\ \\ \implies {x}^{4} \: \alpha \: y \\ {x}^{4} \:varies \: directly \: as \: y[/tex]

Find the area of a regular pentagon with an apothem of 8.95 cm and a side length of 13 cm. (round to the nearest whole number)

Answers

Answer:

C) 291 cm^2

Step-by-step explanation:

Sorry it took me so long to answer, but I am taking a test with this question and I want to make sure I got it right on the test before I gave you the answer.

The test I am taking is on USA TESTING and I got 100

Brainliest to whoever gets it right: Apply the appropriate mathematical operation to solve this occupation related problem.

Labor rate: $8.75 per hour.
Hours worked: 16
Total price of services: $224

Overhead rate: %

Answers

Answer:

37.5%

Step-by-step explanation:

Labor rate = 8.75 dollars per hour.  

Hours worked = 6

Direct cost of labor = 140 dollars

Total price of services = 224 dollars

Therefore, the overheads = 84 dollars which is

84 X 100 / 224 = 37.5%

Students in a class were asked to name their favorite type of soup. The results are shown in the circle graph. How many times more students prefer tomato soup than prefer French onion soup? French onion=0.06% Tomato=33%

Answers

Answer:

5.5 times

Step-by-step explanation:

0.33/0.06=5.5

Find the remainder when 2x^3 + 15x^2 + 31x + 12 is divided by (x-1)​

Answers

Answer:

1/

2 3 15 2 31 12

2 1 14 -12 43

__________________

2 1 14 -12 43 -31

so the answer is r=-31

Answer:

remainder = 60

Step-by-step explanation:

Given f(x) divided by (x - h) then the remainder is f(h)

f(x) = 2x³ + 15x² + 31x + 12 , then

f(1) = 2(1)³ + 15(1)² + 31(1) + 12

     = 2 + 15 + 31 + 12 = 60 ← remainder

PLEASE HELP ONLY IF YOUR FOR SURE!! <3 What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

68. We just subtract 22 from 90

find x or solve for x .​

Answers

X=35 because I know I’m no dummy

A specialty shop procures silver necklaces for 15$ a piece and offers them to customers for 33$ each. What is the mark-up percentage?

Answers

Answer:

54.5%

Step-by-step explanation:

Given data

Cost price= $15

Selling price= $33

Mark up percent =????

%markup= selling-cost/selling*100

substitute

%markup= 33-15/33*100

%markup= 18/33*100

%markup=0.545*100

%markup= 54.5%

Hence the Percent markup is 54.5%

Help me with 7 and 8 pleaseeeee

Answers

Answer:

7 is 8,and 8 is 23p+9

Answer:

7= 8

8=

Step-by-step explanation:

PLEASE HELP ANSWERS ONLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

1. 13n+15

2. 12n+18

3. 18n+12

Nathan launches a water balloon vertically from a platform on his roof. The height of the balloon (in feet) is represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds) after he launches the water balloon. What is the maximum height of the balloon?

Answers

Answer:

45.27feet

Step-by-step explanation:

Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)

Note that the velocity of the balloon at maximum height is zero, hence;

v = dh/dt =0

-32t+28.7 = 0

-32t = -28.7

t = 28.7/32

t = 0.897secs

Get the maximum height

Recall that h=−16t²+28.7t+32.4

h = -16(0.897)²+28.7(0.897)+32.4

h= -12.87+25.74+32.4

h = 45.27feet

Hence the maximum height reached is 45.27feet

4х2 - 3x + 2,
How many terms are there

Answers

Answer:

3

Step-by-step explanation:

We are given an expression and are asked how many terms are there.

When it comes to terms, we need to see how many numbers have different endings, this can be variables, symbols, and exponents.

Looking into it, we see 4x^2 - 3x + 2

These are all different terms, therefore there are 3 different terms.

The freshman convention was held at the activity center with 12 567 seats. If 120 seats were not occupied. How many seats were occupied?​

Answers

The answer would be 12447 seats were occupied

Hope this helps

Have a great day/night

Feel free to ask any questions
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