find cosØ if sinØ=-12/13 and tanØ>0.

A) -5/12
B) -5/13
C) 12/5
D) -13/12

Answer:

x = 10

y = 5

Step-by-step explanation:

Applying Trigonometry ratio

sin∅ = opposite/hypotenuse

cos∅ = Adjacent/hypotenuse

From the diagram,

sin60° = 5√3/x

make x the subject of the equation

x = 5√3/sin60°

But, sin60° = √3/2

x = 5√3/(√3/2)

x = (5√3)(2/√3)

x = 10.

Also, applying

cos60° = y/x

Where x = 10, cos60° = 1/2

y = xcos60°

y = 10(1/2)

y = 5

Answer:

(0, -2)

(-3, 1)

(3, -4)

Step-by-step explanation:

The constraints given as;

x + y ≥ -2

3x - y ≤ 2

x - y ≥ -4

Since we want to find vertices of the feasible region, we will ignore the less than or greater than sign and use the equal to sign to some simultaneously.

Let's add first and third constraint together to get;

2x = -6

x = -6/2

x = - 3

Put - 3 for x in equation 1 to get;

-3 + y = -2

y = 3 - 2

y = 1

Thus, vertex here is; (-3, 1)

Lets add first and third equations to get;

4x + 0 = 0

Thus, x = 0

Putting this for x in eq 1;

0 + y = -2

y = -2

vertex here is; (0, -2)

Lets subtract eq 3 from eq 2 to get;

2x = 6

x = 6/2

x = 3

Put 3 for x in eq 3;

x - y = -4

vertex here is; (3, -4)

Answer:

x = 3

Step-by-step explanation:

All the angles of a square are 90°

The diagonals bisect the angles , then

5x² = 45 ( divide both sides by 5 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Answer:

There are 104 nickels and 33 quarters

Step-by-step explanation:

Start of with the equation N = 3Q + 5. q is the amt of quarters n is the nickels. Then substitute Q with 33 since that is the amount of quarters and solve the equation for the amount of nickels that there are.

The center of a triangle must always be found inside the triangle given that it is the concurrent point of the three median lines of the triangle all three of which are located only inside of the triangle

The examples of the properties of the center of a triangle are;

Given that the three medians are located inside the triangle therefore, based on the location of the center of the triangle on the medians of the triangle, the center of the triangle must always be found inside the triangle

Learn more about the centroid of a triangle here;

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Answer:

[tex]3\left(8-4x\right)<6\left(x-5\right)[/tex]

[tex]3(8-4x)=241-2x[/tex]

[tex]6(x-5)=6x-30[/tex]

[tex]24-12x<6x-30[/tex]

Subtract 24 from both sides

[tex]-12x<6x-54[/tex]

Now, subtract 6x from both sides

[tex]-18x<-54[/tex]

Multiply both sides by -1

[tex]18x>54[/tex]

Divide 18 from both sides

[tex]x>3[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

Triangle ABC is a 45-45-90 right triangle. That means that segment BC also measures 10.

The big triangle as a whole is a 30-60-90. The side length across from the 30 degree angle is 10, so the whole length of BD is 10√3. However, since we already have the length of BC as 10, then segment CD measures

10√3 -10 which is 7.32

Answer: 910 minutes

Step-by-step explanation:

Since the physical therapist has 2400 minutes available for patients next week, and the patients have already made appointments for 1490 minutes, then the time that the physical therapist has left will be:

p + 1490 = 2400

p = 2400 - 1490

p = 910

Therefore, the physical therapist will have 910 minutes left

Answer:

a/9 - 4

Step-by-step explanation:

The expression will be (x/9) - 4.

It is given that a number x is the quotient of a number and 9 decreased by 4.

We have to find the variable expression for this.

What will be the expression for , 2 times of a number minus 4 ?

The expression will be 2x -4.

Quotient of a number and 9

= x / 9

Decrease this by 4 ; we get

= (x / 9 ) - 4

Thus , the expression will be (x/9) - 4.

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Answer:

Solution of question number 23

Step-by-step explanation:

Given,

5a - 12

= 5 × 12

= 15 - 12

= 3 answer

Answer:

66 degrees

Step-by-step explanation:

The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.

This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.

We have this equation:

[tex]x+57=123[/tex], where x is the value of angle 1.

Subtracting 57 from both sides, we have

[tex]x = 66[/tex]

Answer:

A. 18

Step-by-step explanation:

the equation :

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18

If the length of FR is 16 units then the length of PR is 18 units which is option A.

Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.

From the rule of tangents and point outside the circle we can say that,

RF×RS = PR×RQ

16×9 = PR × 8

144 = PR×8

PR = 144/8

PR = 18 units

Hence if the length of FR is 16 units then the length of PR is 10 units.

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Answer:

216

Step-by-step explanation:

π=3

r=3

h=8

so,

πr²h

= 3×3²×8

= 216

Answered by GAUTHMATH

Answer:

the image/text is not there

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Cuz that’s the only graph that goes with the statement.

on this graph it’s saying the cost of 3 hair accessories is $10.

X = 3

Y = 10

Answer:

Step-by-step explanation:

Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i

Answer:

Its c

Step-by-step explanation:

[tex]{\huge\fcolorbox{blue}{black}{\pink{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: Solution\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:}}}[/tex]

[tex]2(4 - 1) {}^{2} - 3 + 2(5) \\ \\ = 2(3) {}^{2} - 3 + 2(5) \\ \\ = 2 \times 9 - 3 + 2(5) \\ \\ = 18 - 3 +2(5)\\ \\ =>15-10 = 25[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{2(4 - 1)^2 - 3 + 2(5)}[/tex]

[tex]\mathsf{4 - 1 = \bf 3}[/tex]

[tex]\mathsf{= 2(3^2) - 3 + 2(5)}[/tex]

[tex]\mathsf{3^2}\\\mathsf{= 3\times3}\\\mathsf{= \bf 9}[/tex]

[tex]\mathsf{= 2(9) - 3 + 2(5)}[/tex]

[tex]\mathsf{2(9)}\\\mathsf{= \bf 18}[/tex]

[tex]\mathsf{= 18 - 3 + 2(5)}[/tex]

[tex]\mathsf{18 - 3}\\\mathsf{= \bf 15}[/tex]

[tex]\mathsf{= 15 + 2(5)}[/tex]

[tex]\mathsf{2(5)}\\\mathsf{= \bf 10}[/tex]

[tex]\mathsf{= 15 + 10}\\\mathsf{= \bf 25}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your ANSWER is: \textsf{25}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

[tex]\displaystyle m = \frac{22}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 3)

Point (10, 25)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

c

Step-by-step explanation:

Answer: I'll solve A) since there is a lot of work to be shown.

Step-by-step explanation:

A)

(x−1)³+3x(x−4)+2=x³

Use binomial theorem to expand  (x−1)³

x³- 3x² + 3x - 1 + 3x(x-4) + 2=x³

Use distributive property on 3x(x-4)

x³- 3x² + 3x - 1 + 3x²-12x + 2=x³

Add like terms

x³ −9x + 1 =x³

Subtract x³ from both sides.

x³ −9x +1 -x³ = 0

Add x³ and -x³

−9x+1=0

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

−9x=−1

Divide both sides by -9.

x= 1/9

Answer:

∠8 and ∠16.

Step-by-step explanation:

Given the diagram we have to find the angles which are corresponding angles with ∠12. Those angles which are on the same side of traversal called corresponding angles. By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16.

Answer:

b=x+1

Step-by-step explanation:

The equation is:

[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]

Isolate b by subtracting and dividing.

You end up with b= x+1

Answer:

answer is 3500.

answer is 3500

answer is 3500

Answer:

96 ounces each day

Step-by-step explanation:

Divide the 24 bottles by 3

24/3 = 8

8bottles per day

8 bottles *12 ounces per bottle

96 ounces each day

Answer:

Step-by-step explanation:

Remark

The cos(60) = 1/2

The radii marked 6 is the adjacent side. You have to solve for the hypotenuse.

Why?

Because the hypotenuse is the distance from the center of the circle to the point of intersection of the angle. Once you have the hypotenuse, you can find the length of the tangent, which will lead to the area of the kite. Then take away 1/3 the area of the circle.

Hypotenuse

Cos(60) = 1/2

cos(60) = adjacent / hypotenuse        Multiply both sides by the hypotenuse

hypotenuse * cos(60) = adjacent       Divide by Cos(60)

hypotenuse = adjacent / cos(60)  

adjacent = 6

hypotenuse = 6/0.5

hypotenuse = 12

Tangent

tangent^2 = 12^2 - 6^2

tangent^2 = 144 - 36

tangent^2 = 108

tangent = sqrt(108)

tangent = 6sqrt(3)

Triangles

The area of the triangle = 1/2 6sqrt(3) * 6

The area of the triangle = 18 sqrt(3)

There are two triangles so the area = 36 sqrt(3) That's the area of the kite.

Circle sector.

Area of the circle sector = 1/3 * pi * r^2

r = 6

Leave pi as it is.

Area of the circle sector = 1/3 * pi * 6^2

area of the circle sector = 12 pi

Answer

Area of the red part = area of the triangles - the area of circle sector

Area of the red part = 36*sqrt(3) - 12* pi            

Answer:

a^2 + b^2 = c^2

4+16 = c^2

20 = c^2

c = [tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]

Step-by-step explanation:

Answer:

26297.4 weeks

Step-by-step explanation:

hope it will help u

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