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Answer:

(13/2) cm

Step-by-step explanation:

The hypotenuse here is of length 13 cm.  The shorter leg lies opposite to the 30° angle.  Recall that the sine function is defined as

              opposite side

sin Ф = -----------------------

                 hypotenuse

which, in this case, works out to:

                opposite side

sin 30° = -----------------------

                       13 cm

and so the length of the opposite side (which is also the "shorter leg") is

shorter leg length = (13 cm)(sin 30°) = (13 cm)(1/2) = (13/2) cm

Answer:

b is 100

Step-by-step explanation:

Answer:

Average is 100

Median is 87.5

Step-by-step explanation:

For average you add up all numbers and divide by how many there are, in this case all numbers added together equals 600, then you divide by 6.

For median, you put the valuse from least to greatest and find the number in the middle, for these numbers, there are 2, 75 and 100, so you add those together and divide them by 2.

9514 1404 393

Answer:

  (b)  -36

Step-by-step explanation:

Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)

This table shows the remainder, which is f(-2), is -36.

__

The equation itself can be rewritten in "Horner form" to facilitate evaluation.

  f(x) = (((-x +2)x -1)x +4)x +8

In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.

  f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8

  = (((4)(-2) -1)(-2) +4)(-2) +8

  = ((-9)(-2) +4)(-2) +8

  = (22)(-2) +8

  = -36

  f(-2) = -36 . . . . remainder from synthetic substitution

Answer: B



Step-by-step explanation: Trust me

Mean (Average) 62.333333333333

Median 60

oWhat can I say execpt your welcome

The mean is greater than the median.

Option (B) is correct.

To find the statements is true.

A branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data.

Half the students scored 55.

The next highest score is 60. So the median is (55+60) / 2 = 57.5.

A few students scored 72, so the mean is slightly greater than the mean of 55 and 60.

Therefore, the mean is greater than the median.

Learn more about statistics here:

https://brainly.com/question/22613249

#SPJ2

Answer:

no s e

s

Step-by-step explanation:

Answer:

its b and i don't know if you can see the screenshot

Step-by-step explanation:

Answer:

Why are you wasting your points? LOL XD

Step-by-step explanation:

Answer:

Good

Step-by-step explanation:

Answer:

x= 16

Step-by-step explanation:

here!hope this helps

Answer:

10[tex]\sqrt{3}[/tex], or 17.32050

Step-by-step explanation:

Answers:

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

Explanation:

For each inequality given, we need to isolate x. We'll solve for x in pretty much the same way we solve an equation. So if we wanted to solve 2x = 12, we would divide both sides by 2 to get x = 6.

Similarly, solving 2x > 12 would lead to x > 6. The inequality sign does not flip. It only flips if you divide both sides by a negative number.

The graph of x > 6 has an open hole at 6 and shading to the right. So that matches with graph D.

---------------------

Solving 7x < 42 leads to x < 6 when we divide both sides by 7. The graph has the open hole at the same endpoint of 6, but now the shading is to the left. This shows all values smaller than 6. Therefore 7x < 42 matches with graph A.

---------------------

We have 3x > 15 match with graph C because that inequality is the same as x > 5, after we divide both sides by 3. We have an open hole at 5 and shading to the right.

---------------------

Lastly, the inequality x+1 < 8 solves to x < 7. We'll have an open hole at 7 and shading to the left. This describes graph B.

Any time you see an open hole, it means "do not include this value as part of the solution set". For instance, with x < 7, we have x = 7 as the open hole. This is because 7 < 7 is a false statement. A number cannot be smaller than itself.

Answer:

-2 , -2, parallel

Step-by-step explanation:

same slope, different y intercept, parallel

Answer:

The values of

k are

(-4,2)

Step-by-step explanation:

sorry if wrong

Answer:

Height of cuboid = 0.384 cm (Approx.)

Step-by-step explanation:

Given:

Length of cuboid = 13 cm

Width of cuboid = 8 cm

Volume of cuboid = 40 cm³

Find:

Height of cuboid

Computation:

Volume of cuboid = length x width x height

13 x 8 x Height of cuboid = 40

Height of cuboid = 0.384 cm (Approx.)

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15

Answer: 305 ft

Step-by-step explanation:

Given

[tex]\angle A=30^{\circ}[/tex]

[tex]\angle B=50^{\circ}[/tex]

[tex]c=600\ ft[/tex]

From the angle sum property of the triangle, we can write

[tex]\Rightarrow \angle A+\angle B+\angle C=180^{\circ}\\\Rightarrow \angle C=180^{\circ}-30^{\circ}-50^{\circ}\\\Rightarrow \angle C=100^{\circ}[/tex]

Now using Sine law i.e.

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

[tex]\Rightarrow \dfrac{a}{\sin 30^{\circ}}=\dfrac{600}{\sin 100^{\circ}}\\\\\Rightarrow a=600\times \dfrac{\sin 30^{\circ}}{\sin 100^{\circ}}=600\times 0.5077\\\\\Rightarrow a=304.62\ ft\approx 305\ ft[/tex]

don't know it is complicated

9514 1404 393

Answer:

  20 meters

Step-by-step explanation:

Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.

  A = LW . . . . . . . . area is length × width

  80 m² = L·(4 m)

  (80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)

The tarp is 20 meters long.

Answer:

45?

Step-by-step explanation:

Answer:

The answer is "Choice A".

Step-by-step explanation:

Please find the complete question in the attachment file.

Throughout this question by acceptance of its zero hypotheses becomes equal to "the failure to accept the zero hypotheses." Its best answer is to refuse the null hypothesis or conclude how he had no effects on vibrant socks mostly on basis of this study, that's why the above given choice is correct.

Answer:

180 ft2

Step-by-step explanation:

First solve for the area of the trapzeoid using formula:

A= a+b/2xh

10+18x6/2

A= 84 ft2

Then solve for the rectangles B and C:

12x4= 48

48x2 (because theres two rectangles) which equals 96

Combine the two to get the total area:

96+84= 180

Answer:

Its 268.08 hope this helps

Step-by-step explanation:

The correct answer and volume to this is 268.08 CM

Answer:

Step-by-step explanation:

In dart, adjacent sides are equal

JK = GK

3x - 9 = x + 13            {Add 9 to both sides}

3x      = x + 13 + 9

    3x = x + 22            {Subtract 'x' from both sides}

3x -x = 22

 2x  = 22           {Divide both sides by 2}

   x = 22/2

x = 11

JH = GH

9y = 5y + 8  {Subtract 5y from both sides}

9y - 5y = 8

    4y = 8        {Divide both sides by 4}  

  y   = 8/4

y = 2

Answer:

false

Step-by-step explanation:

This is because the ones that most likely have a computer are going to play and the ones that dont arent going to play.

Given:

The two end points of a line are (2,10) and (3,-5).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is the y-intercept.

The two end points of a line are (2,10) and (3,-5). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-10=\dfrac{-5-10}{3-2}(x-2)[/tex]

[tex]y-10=\dfrac{-15}{1}(x-2)[/tex]

[tex]y-10=-15(x-2)[/tex]

On further simplification, we get

[tex]y-10=-15x+30[/tex]

[tex]y=-15x+30+10[/tex]

[tex]y=-15x+40[/tex]

Therefore, the slope intercept form of the given line is [tex]y=-15x+40[/tex].

Answer:

The first one is: H=-6 and t=0

The second one is:16x(3t+4)

And i think the answer is:116

Step-by-step explanation:

Correct me if i'm wrong

Answer: 20

Step-by-step explanation:

a^2=b^2 - c^2. i think i could be wrong

Answer:

210 cubic inches

Step-by-step explanation:

The volume V of  a cylinder is given as

V = πr^2h where r is the base radius and h is the height

If two cylinders have the same base, then their radii are the same

Given that one cylinder has a height of 4 inches and a volume of 120 cubic inches then

120 = πr^2 * 4

Divide both sides by 4

30 = πr^2

Given that the second cylinder has a height of 7 inches then the volume

V = πr^2 * 7

Recall that 30 = πr^2

V = 30* 7

= 210 cubic inches

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the derivatives.

Hence, y = 3 sin(-4x), we use the chain rule here.

dy/dx =3 ( cos(-4x).-4)

====> dy/dx = -12 cos(-4x)

Answer:

#1

#2

#3

#4

#5

#6

#7

#8

#9

Answer:

let angle be x

Step-by-step explanation:

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

Answer:

5'2

Step-by-step explanation: