Find the perimeter of the polygon.

the value of -4*2 is -8 jdjdjdjdhdhdjdjdjdhdh

Answer:

Step-by-step explanation:

take the -4 then times it by 2 and you will get -8

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using sin rule

sin 30=opposite/hypotenuse

1/2=x/10(do cross multiplication)

2*x=10*1

x=10/2

x=5

Answer:

5

Step-by-step explanation:

The sin is the opposite cathetus divided by the hypothenuse, and the sin30° = 0.5, so let's do an equality:

sin30° = x/10

0.5 = x/10

10•0.5 = x

x = 5

Answer:

Step-by-step explanation:

1B

Answer:

Answer B is the correct answer..

cot(theta)=cos(theta)/sin(theta)

Trignometric functions are the ratio of the sides of the triangle. The correct option from the following is cot(theta)= cos(theta)/sin(theta).

The trigonometric function gives the ratio of different sides of a right-angle triangle. There are six basic trigonometric functions,

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta= \dfrac{Sin \theta}{Cos \theta} =\dfrac{Perpendicular}{Base} \\\\\\Cosec \theta=\dfrac{1}{Sin\theta}=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta= \dfrac{1}{Cos\theta} = \dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{1}{Tan\theta}= \dfrac{Base}{Perpendicular}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As we know about the basic trigonometric functions, therefore, the options that is correct from the following option is cot(theta)= cos(theta)/sin(theta).

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Answer:

this may or may not help ya :/

= 2 ×( x + 2 + x )

= 2 ( 2x + 2)

= 4x + 4 units

= (x + 2) × x

= x² +2x Sq. units

Answer:

First choice

Step-by-step explanation:

The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.

Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.

Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.

The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.

The correct value of Cos K is 5/23

Step-by-step explanation:

In a right angle triangle, there are 3 side

1. Hypothenus (this is the longest)

2. Adjacent

3. Opposite

However, we can only determine the adjacent and opposite if an angle is marked in the triangle.

Now, we shall determine the value of Cos K. This can be obtaineasobtain as followed:

From the question given above, the following data were obtained:

Hypothenus = 23

Adjacent = 5

Cos K =? C

The value of Cos K can be obtained by using the cosine ratio as as illustrated below:

[tex]Cos K =\frac{Adjacent}{Hypothenus}\\\\Cos K = \frac{5}{23}[/tex]

Therefore, the value of Cos K is 5/23

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Answer:

I think the answer is 20 sq.inches

Answer:

21%

Step-by-step explanation:

Since both 100 and 79 is the percentage, you need to find how much has decreased, so you have to subtract.

100-79 = 21

So, 21% was decreased.

Answer:

answer is b because it rose by 15 and stopped at 10

Answer:

B

Step-by-step explanation:

15-10= -5

This works with temperatures as long as they are both the same measurement such as Fahrenheit, Celsius, etc.

Answer:

72 pints of the first type

18 pints of the second type

Step-by-step explanation:

See attachment for complete question

Given

[tex]x \to[/tex] first type

[tex]y \to[/tex] second type

Final volume = 90; So:

[tex]x + y = 90[/tex]

From the question, we understand that:

70% of x and 95% of y gives 75% of the fruit juice

This is represented as:

[tex]70\% * x + 95\% * y = 75\%* 90[/tex]

Make x the subject in [tex]x + y = 90[/tex]

[tex]x = 90 - y[/tex]

Substitute: [tex]x = 90 - y[/tex] in [tex]70\% * x + 95\% * y = 75\% * 90[/tex]

[tex]70\% * (90 - y) + 95\% * y = 75\% *90[/tex]

Express percentage as decimal

[tex]0.70 * (90 - y) + 0.95 * y = 0.75 * 90[/tex]

Open brackets

[tex]63 - 0.70y + 0.95y = 67.5[/tex]

Collect like terms

[tex]- 0.70y + 0.95y = 67.5 - 63[/tex]

[tex]0.25y = 4.5[/tex]

Divide both sides by 0.25

[tex]y = \frac{4.5}{0.25}[/tex]

[tex]y = 18[/tex]

Recall that: [tex]x = 90 - y[/tex]

[tex]x = 90 - 18[/tex]

[tex]x = 72[/tex]

Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

Original statement: The grass is wet because it was raining.

Contrapositive statement: It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

Answer:

y-3 = (1/4)x; 4y = -4x +14; y=4

Step-by-step explanation:

>First find the equation of function A

general equation of a line is y=mx+b

m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7)  = 1/2

consider the point (-7,0)

0 = -7(1/2) +b

7/2 = b

Function A has the equation y= (1/2)x +7/2

>rewrite the equations to fit the standard form

y-3 = (1/4)x ; add 3 to both sides

y= (1/4) x +3

4y = -4x +14 ,divide by 4 both sides

y= -x + 7/2

y=4

> intercept less than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y= (1/4) x +3 is 3

3  < 7/2, so the answer is y-3 = (1/4)x

> intercept equal to A

y-intercept for function A , y= (1/2)x +7/2, is  7/2

y-intercept for function y= -x + 7/2 is 7/2

7/2=7/2 , so the answer is 4y = -4x +14

> intercept greater than A

y-intercept for function A , y= (1/2)x +7/2, is  7/2 =3.5

y-intercept for function y=4 is 4

4 > 7/2

Answer:

The answer is 3 for the above question

Answer:

$495

Step-by-step explanation:

(900 ÷ 100) × 45

= 405

900 - 405

= 495

Answer:

A loan

Step-by-step explanation:

They are not the same.

Answer:

25 feet per second.

Step-by-step explanation:

Let s represent the speed of the water and r represent the radius of the whirlpool.

The speed in a whirlpool varies inversely with the radius. Therefore, we can write that:

[tex]\displaystyle s=\frac{k}{r}[/tex]

Where k is the constant of variation.

We know that the speed is 2.5 feet per second when the radius is 30 feet.

So, s = 2.5 when r = 30. Substitute:

[tex]\displaystyle 2.5=\frac{k}{30}[/tex]

Solve for k:

[tex]k=30(2.5)=75[/tex]

So, our equation is:

[tex]\displaystyle s=\frac{75}{r}[/tex]

Then when the radius is three feet, r = 3. Evaluate for s:

[tex]\displaystyle s=\frac{75}{(3)}=25\text{ feet per second}[/tex]

So, the speed of the water in a whirlpool with a radius of three feet is 25 feet per second.

2 Answers:

====================================

Explanation:

The left and right walls are mirror copies of one another, and they are also copies of the cross section as well. Think of a subdivision to divide one room into two smaller ones. That middle wall is the same as the left and right walls of the original larger room. Effectively, those two smaller rooms are blocks of their own we can pull apart or cut.

Answer:

x = 64 degree  , 2x = 128 degree

Step-by-step explanation:

2x = 128 (being alternate interior angles)

x = 128/2

x = 64 degree

2x

=2*64

=128 degree

The value of angle 2x is 128 and angle x is 64.

Lines on a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

When two lines in a plane are stretched endlessly in both directions and do not cross, they are said to be parallel. If two straight lines have separate y-intercepts and equal slopes, they are said to be parallel. A few significant parallel line attributes that accurately describe their features are shown below.

given:

<1 = 2x

<2 = 128

now, using alternate interior angle

< 1 = <2

2x = 128

x= 128/2

x= 64

Hence, the value of 2x is 128 and x is 64.

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Answer:

x=24

Step-by-step explanation:

Because the triangle is a 30-60-90 triangle, you can find side x, the hypotenuse, by doubling the short side 12. Therefore, x=2(12)=24.

Answer:17

Step-by-step explanation:

Cm+cq=mq (m nằm giữa c và q)

Answer:

[tex]hypotenuse = 5 \: cm \\ height = 5 - 1 = 4 \: cm \\ base = \sqrt{ {5}^{2} - {4}^{2} } = \sqrt{9} = 3 \: cm[/tex]

Part A:

[tex]perimeter = 5 + 4 + 3 \\ = 12 \: cm[/tex]

Part B:

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 3 \times 4 \\ = 6 \: {cm}^{2} [/tex]

Answer:

y = 1(x - 1)^2 + 34

yes it is meant to say 34, not 35.

Step-by-step explanation:

Vertex P(1, 34)

Y-intercept P(0, 35)

Answer:

Angle 1)  S = 12

Angle 2) Y = 18

Angle 3) R = 27

Angle 4) Z = 15

Angle 6) X = 13

Step-by-step explanation:

Angle 1

is a right angle, 90, use this to find s also

90 = (16s - 102)

90 + 102 = 16s

192/16 = s

12 = s

Angle 6

Angle 6 = 180

180 = 12x+24

180 - 24 = 12x

156 / 12 = x

13 = x

Angle 2

Angles 2 and 4 are a total of 90

Use this to find y

90 = (4y-9) + (y+9)

90 + 9 - 9 = 5y

90 = 5y

90/5 = y

18 = y

Angle 4

Angle 4 and 3 will be the same, us this to find z

2z - 3 = 4z - 33

2z - 3 - 4z = -33

-2z  = - 30

z = 15

Angle 3

3 and 5  together from 180

this mean

r + 5r + 18 = 180

6r = 180 - 18

6r = 162

r = 162 / 6

r = 27

Answer:

Step-by-step explanation:

We have to use Pythagorean's Theorem twice here, first to find the length of the dotted line, which I will call h, and then again to find x. First we need to find h so we can use it to find x:

[tex](2\sqrt{5})^2=4^2+h^2[/tex] and

[tex]20=16+h^2[/tex] and

[tex]4=h^2[/tex] so

h = 2. Then again:

[tex]x^2=2^2+22^2[/tex] and

[tex]x^2=4+484[/tex] and

[tex]x^2=488[/tex] so

x = 2√122

Answer:

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=3.14*6^2*11

=3.14*36*11

=1243.44 mi^3

Answer:

Solution given:

radius [r]=6mi

height[h]=11mi

we have

Volume of cylinder=πr²h=3.14*6²*11=

1243.44mi³

Answer:

1. 3/8

Step-by-step explanation:

Total tossed times = 3

Total Possibilities = 8

Possibilities = (Head, Head, Head), (Tails,Tail,Tails), (Head,Head,Tails), (Head,Tail,Head), (Tails,Head,Head), (Head,Tail,Tail), (Tail,Tail,Head), (Tail,Head,Tail)

Number of options with a head and two tails = 3

So, Probability = Number of correct options ÷ Number of total possibilities

= 3 ÷ 8 or 3/8

9514 1404 393

Answer:

  (d)  -√((2+√2)/(2-√2))

Step-by-step explanation:

5π/8 is a 2nd-quadrant angle whose reference angle is greater than π/4. This means the tangent is negative with a magnitude greater than 1. The only reasonable choice is ...

  [tex]\displaystyle -\sqrt{\frac{2+\sqrt{2}}{2-\sqrt{2}}}[/tex]

_____

Additional comment

This simplifies to -(1+√2). Your calculator can verify the choice for you.

Answer:

Step-by-step explanation:

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