The width of a rectangle is only 15% of its length. If the perimeter of the rectangle is 46, what is the length

5/9 of mass of metalx=7kg

5/9*mass ofmetal x=7kg

divide both sides by 5/9

value of mass metalx=63/5

2/7 of mass metalx=?kg

2/7*63/5=126/35kg=3.6kg

Answer:

slope is zero

Step-by-step explanation:

This is a horizontal line parallel to the x- axis

Since the slope of the x- axis is zero then the slope of the line is zero

Answer:

its slope is zero

Step-by-step explanation:

the slope of a line is simply the ratio between y- and x-change from one point of the line to another.

you can express it as y/x.

e.g. 5/2 - meaning that when x changes by 2 units, y changes by 5 units (so, it goes up steeply).

now, the line in the graph is just a flat line. no matter how many units we change x and move to the right, y won't change and simply stay at 2.5.

so, 0 change in y.

and the slope is 0/"delta x" for "delta x">0

all that means the slope is 0, as 0 divided by anything is always 0.

the function for that line is therefore

y = 0×x + 2.5 or simply

y = 2.5

and the factor of x (in this case 0) is always the slope of the line.

Answer:

3600 / p

Step-by-step explanation:

The partners share the company equally so it would be 3600 / p because each person would get an equal share.

If there were 2 partners, each would get 1800.

If there were 4 partners each would get 900.

It makes it so each partner gets and equal amount with this equation

Answer:

[tex]m \angle A = m \angle C[/tex] by reason [tex]\overline{AB} \cong \overline{BC}[/tex] and [tex]m \angle B = m \angle M = m \angle P[/tex].

[tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem

Step-by-step explanation:

We proceed to demonstrate the statement by Geometric means:

1) [tex]\overline{AB} \cong \overline{BC}[/tex], [tex]\overline {AM} \cong \overline {PC}[/tex], [tex]m\angle AMO = m\angle CPO[/tex] Given.

2) [tex]\frac{AM}{AB} = \frac{PC}{BC}[/tex] Proportionality.

3) [tex]\frac{AM}{AM + MB} = \frac{PC}{BP + PC}[/tex] Definition of line segments.

4) [tex]\frac{1}{1+\frac{MB}{AM} } = \frac{1}{\frac{BP}{PC}+1}[/tex] Algebra.

5) [tex]\frac{BP}{PC} + 1 = 1 +\frac{MB}{AM}[/tex] Algebra.

6) [tex]\frac{BP}{PC} = \frac{MB}{AM}[/tex] Algebra.

7) [tex]BP = BM[/tex] By 1)

8) [tex]m \angle B = m \angle M = m \angle P[/tex] By 1), 7)

9) [tex]\triangle AMO \sim \triangle ABC[/tex], [tex]\triangle CPO \sim \triangle ABC[/tex] By 1), 7), 8). Defintion of simmilarity.

10) [tex]\frac{AM}{MO} = \frac{AB}{BC}[/tex], [tex]\frac{PO}{PC} = \frac{AB}{BC}[/tex] Definition of proportionality.

11) [tex]\frac{AM}{MO} = \frac{PO}{PC}[/tex] Algebra.

12) [tex]AM^{2} = PO\cdot MO[/tex] Algebra.

13) [tex]PO = MO[/tex] By 12) and Algebra.

14) [tex]\overline{PO} \cong \overline{MO}[/tex] By 13).

15) [tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem/Result.

Answer:

35 degrees

Step-by-step explanation:

since both sides are equal, so are the angles involved.

Answer: the income is 369$

Step-by-step explanation:

Answer:

Step-by-step explanation:

mean:64

median: (74+76)/2=75

mode: no mode

Range: 71

#2

mean:51

median:(55+55)/2=55

mode:55

Range; 68

Answer:

6)

Mean = 35+ 74+ 76+ 93+ 84+ 22 = 384

mean = total amount/total numbers

384/6 = 64

Median = 76 + 93/2 = 169/2 = 84.5

Mode = there is no mode (there are no numbers repeated)

Range = (biggest - smallest) = 93 - 22 = 71.

7)

Mean = total amount/total numbers

72+ 55 +11+ 55 + 42 + 25 + 79 + 69 = 408/8 = 51

Median = 55 + 42/2 = 97/2 = 48.5

Mode = 55

Range = 79 - 25 = 54

8) Mean = 93 + 15 + 11+ 58+ 94+ 87 + 73+ 16+ 21 = 468/9 = 52

Median = 94

Mode = nothing

Range = 93 - 11 = 82

9)

Mean = 17+45+ 12+ 74+ 89 + 57 = 294/6 = 49

Median = 12 + 74/2 = 43

Mode = nothing

Range = 89 - 12 = 77

10)

Mean = 52+ 35+ 55+ 23+ 30 = 195/5 = 39

Median = 55

Mode = nothing

Range = 55 - 23 = 32

Step-by-step explanation:

I rlly hope this helped i took soooo long(sry for that btw)

Answer:

[tex]x_{1}[/tex] = [tex]\frac{\pi }{6}[/tex] and [tex]x_{2}[/tex] = [tex]\frac{5\pi }{6}[/tex]

Step-by-step explanation:

Answer:

Subtraction property ; x = 3.25

Division property ; - 6

multiplication property ; - 125

Addition property ; 13

Step-by-step explanation:

A.)

x + 3.75 = 7

Using the subtraction property : subtract 3.75 from both sides

x + 3.75 - 3.75 = 7 - 3.75

x = 3.25

B. )

–3b = 18

According to the division property :

Divide both sides by - 3

-3b / - 3 = 18 / - 3

b = - 6

C.)

m/5 = - 25

Using the multiplication property :

m/5 * 5 = - 25 * 5

m = - 125

D.)

m – 4 = 9

Using the addition property :

Add 4 to both sides :

m - 4 + 4 = 9 + 4

m = 13

Answer:

A. Subtraction property ; x = 3.25

B. Division property ; - 6

C. multiplication property ; - 125

D. Addition property ; 13

Step-by-step explanation:

-1 (4 + x) = 6

=> 4 + x = 6/-1

=> 4 + x = -6

=> x = -6 -4

=> x = -10

Answer:

Isosceles triangle

Answer:

Emily will earn $33,020 in one year.

Step-by-step explanation:

635×52=33,020

Step-by-step explanation:

We write that x belongs to the interval if a ≤ x ≤ b. Graphically, a closed interval is represented by a segment whose two ends are filled. To write this interval in interval notation, you must use square brackets: [a,b].

Answer:

x=5

Step-by-step explanation:

This is because the inscribed angle of the circle or angle EFG is equal to the twice of the degree of the arc EG. Therefore, we can create this equation:

12+40=2(8x+10)

12+40=16x+20

20=4x

x=5

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J

Answer: -42

Step-by-step explanation:

-4(n-6)+m

and then they give you the values of each

basically what you do is put the value of m into where it shows on the equation as well as the n.

-4(-5-6)+2 and then you should get

-42

Answer:

maybe you can give them a simple example.

use what they are interested for.

for example if he or she love playing basketball.

you can draw three white ball, if other give you two ball, you can draw two balls. instead, if other want to borrow four balls from you, then you can draw four balls to black and count the left balls.

hope it can help you!!

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

y = 79x - -37

37 = 79(0) - - 37

37 = 0 - - 37

37 = 37

Answer:

yo have to think very hard about it

sorry, I don't have an answer but I do want to know myself

Answer:

d) 2m+1

Step-by-step explanation:

for example:

m be 2 then. 2×2+1=5

m be 3 then. 2×3+1=7

Answer:

Mean = 43.969

Standard deviation = 12.341

Step-by-step explanation:

Given the data :

36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 38.9, 50.06

The sample mean :

Σx / n = 351.75 / 8 = 43.969

Sample standard deviation :

√Σ(x - mean)²/n-1

√[(36.45-43.969)² + (67.90-43.969)² + (38.77-43.969)² + (42.18-43.969)² + (26.72-43.969)² + (50.77-43.969)² + (38.9-43.969)² + (50.06-43.969)² ] / ((8 - 1)

Standard deviation = 12.341

Answer:

Expected value =0.9

Standard deviation = 0.4359

Step-by-step explanation:

Let's use the formula to find expected value or mean.

Expected value =Σ x *P(x)

  x    0    1     2

P(x) ) .15  .8  .05

So, expected value = (0)(0.15) +1(0.8)+2(0.05)

                                = 0 +0.8 +0.1

                                =0.9

Expected value =0.9

Now, let's find standard deviation

x           [tex](x- E(x))^{2}[/tex]         [tex](x-E(x))^{2} *p(x)[/tex]

0           [tex](0-0.9)^{2}[/tex]            [tex](0-0.9)^{2} *0.15[/tex]  =0.1215

1            [tex](1-0.9)^{2}[/tex]            [tex](1-0.9)^{2} *0.8[/tex]    =0.008

2           [tex](2-0.9)^{2}[/tex]             [tex](2-0.9)^{2} *0.05[/tex]  =0.0605

Now, add the last column together and then take square root to find standard deviation.

Standard deviation of the distribution =[tex]\sqrt{0.1215+0.008+0.0605)}[/tex]

Simplify it, so standard deviation =0.4358898...

Round the answer to nearest four decimal places

Standard deviation = 0.4359

Answer:

x = sqrt(3)

Step-by-step explanation:

Use Thales theorem

[tex] \sf Q) \: 19^{2} + 21^{2} = {?}[/tex]

[tex] \sf \to 19^{2} + 21^{2} [/tex]

[tex] \sf \to 361 + 441[/tex]

[tex] \sf \to 802[/tex] is the solution.

Answer:

m = 15/3 = 5 is the mean

Step-by-step explanation:

Answer:

5 Students But divide by 15/3 to  5

Step-by-step explanation:

What does Average mean?

1. a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.

So, to find the answer just ADD 10 + 2 + 3 = ?

10 + 2 = 12 So put that to the side for now.

Now, 10 + 2 = 12 + 3 = 15

So the total number of students who like cookies, chips,  and crackers are 15.

Now do 15/3 to get 5.

Answer:

5/4

Step-by-step explanation:

To Find :-

Solution :-

By question ,

=> cos a = 5/3 = b/h

=> p = √ 5² - 3² = √ 25 -9 = 4

Therefore ,

=> cot a = b/p = 5/4

Answer:

C

Step-by-step explanation:

Given the graph of f(x) then the graph of f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here the graph has been shifted 2 units to the right , then

f(x) = (x - 2)²

Given the graph of f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Here the graph has ben shifted 4 units up

Thus

f(x) = (x - 2)² + 4 → C

Answer:

Step-by-step explanation:

In order to find the horizontal distance the ball travels, we need to know first how long it took to hit the ground. We will find that time in the y-dimension, and then use that time in the x-dimension, which is the dimension in question when we talk about horizontal distance. Here's what we know in the y-dimension:

a = -32 ft/s/s

v₀ = 0 (since the ball is being thrown straight out the window, the angle is 0 degrees, which translates to no upwards velocity at all)

Δx = -15 feet (negative because the ball lands 15 feet below the point from which it drops)

t = ?? sec.

The equation we will use is the one for displacement:

Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] and filling in:

[tex]-15=(0)t+\frac{1}{2}(-32)t^2[/tex] which simplifies down to

[tex]-15=-16t^2[/tex] so

[tex]t=\sqrt{\frac{-15}{-16} }[/tex] so

t = .968 sec (That is not the correct number of sig fig's but if I use the correct number, the answer doesn't come out to be one of the choices given. So I deviate from the rules a bit here out of necessity.)

Now we use that time in the x-dimension. Here's what we know in that dimension specifically:

a = 0 (acceleration in this dimension is always 0)

v₀ = 80 ft/sec

t = .968 sec

Δx = ?? feet

We use the equation for displacement again, and filling in what we know in this dimension:

Δx = [tex](80)(.968) +(0)(.968)^2[/tex] and of course the portion of that after the plus sign goes to 0, leaving us with simply:

Δx = (80)(.968)

Δx = 77.46 feet