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Ethan is a 5 ft 4 inches tall. How tall is he in cm, if 1 in is about 2.54 cm?
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Solution:

We know that:

Step-1: Find the radius:

Step-2: Find the area of the circle:

[tex]\\ \rm\Rrightarrow Area=\pi r^2[/tex]

[tex]\\ \rm\Rrightarrow Area=(3.14)11^2[/tex]

[tex]\\ \rm\Rrightarrow Area=121(3.14)[/tex]

[tex]\\ \rm\Rrightarrow Area=379.9mm^2[/tex]

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

learn more on algebraic model here: https://brainly.com/question/4151078

Answer:

what

Step-by-step explanation:

you know you should drink some water. 75% of americans are dehydrated and don't know it. being hydrated will fix your problems. because being dehydrated will make you not able to do simple math :)

Answer:30

Step-by-step explanation: 20+10

Answer:

30

Step-by-step explanation:

n-10 = 20 add 10 to both sides

+10   +10

n=30

Hope this helps :)

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

How do I find the equation of the line y=mx + C, passing through the points M (-2, -3) and T (3, 7)?

A2A

y = mx + C is often called slope-intercept form.

There are two pieces of information you will need to solve for. #1: The slope, which is m, and #2: the y-intercept, which is C (incidentally I learned this as y = mx + b, instead of y = mx + C, but that is a trivial detail)

Step #1 Find the slope. use the formula slope = (y₂ - y₁)/(x₂ - x₁) => (7 - -3)/3 - -2) = 10/5 = 2. m=2

Step #2 Find the y-intercept. Solve for y = mx + C when x is 2 and x = -2 and y = -3 -3 = 2(-2) + C => -3 = -4 + C add 4 to both sides, 1 = C

Equation: y = 2x + 1.

Check: x = 3 => y = 2(3) + 1 => y = 6 + 1 => y = 7 => (3, 7)

Check: x = -2 => y = 2(-2) + 1 => y = -4 + 1 => y = -3 => (-2, -3)

Answer:

$300

Step-by-step explanation:

multiply that 6000 in 0.05

Answer: -6/7

Step-by-step explanation:

Answer:

Period:  [tex]4\pi[/tex]

Midline:  y = 2

Amplitude:  3

Range:   [-1, 5]

Step-by-step explanation:

Period - from one peak to the next (or from one trough to the next)

⇒ Period:  [tex]2\pi - (-2\pi )=4\pi[/tex]

Midline - center line

Range = -1 ≤ f(x) ≤ 5

[tex]\implies \sf midline =\dfrac{5-(-1)}{2}+(-1)=2[/tex]

⇒ Midline:  y = 2

Amplitude - height from the center line to the peak (or to the trough)

Maximum height:  y = 5

center line:  y = 2

Therefore, amplitude = 5 - 2 = 3

Range - the set of all values that the function takes

-1 ≤ f(x) ≤ 5  →  [-1, 5]

Period:-

Only one peak is shown so we take distance between troughs

#Midline

The mean of pitch

Midline::

[tex]\\ \tt\Rrightarrow \dfrac{5+1}{2}-1=3-1=2[/tex]

#Amplitude

Distance between trough and midline

#Range:

The pitch

You are missing expression..

But if you simplify you can find the answer (given below)

Answer:

[tex]2x^2-3x-1[/tex]

Step-by-step explanation:

[tex]10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)[/tex]

[tex]\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c[/tex]

[tex]10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2[/tex]

[tex]=10x^2+6x-8x^2+3-\left(9x+4\right)[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=-\left(9x+4\right)+10x^2-8x^2+6x+3[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2[/tex]

[tex]=-\left(9x+4\right)+2x^2+6x+3[/tex]

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]

[tex]-\left(9x+4\right)=-9x-4[/tex]

[tex]=-9x-4+2x^2+6x+3[/tex]

[tex]\mathrm{Group\:like\:terms}[/tex]

[tex]=2x^2-9x+6x-4+3[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:-4+3=-1[/tex]

[tex]=2x^2-9x+6x-1[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x[/tex]

[tex]=2x^2-3x-1[/tex]

Answer = [tex]2x^2-3x-1[/tex]

~Learn with Lenvy~

Answer:

$12.33

Step-by-step explanation:

74/6 = 12.33

Answer:

12.3

Step-by-step explanation:

I hope this is right!

Answer:

2/3.

Step-by-step explanation:

Geometric mean  = √(2 * 2/9)

= √(4/9)

= 2/3.

The geometric mean between 2 and 2/9 is 2/3.

We can define the mean of the given data set as the average of all the

numbers. Mathematically, we can write mean as -

M = ∑x{i}/n

Given is to find the geometric mean between 2 and 2/9.

The general formula used to calculate the geometric mean is -

[tex]$\left(\prod _{i=1}^{n}x_{i}\right)^{\frac {1}{n}}={\sqrt[{n}]{x_{1}x_{2}\cdots x_{n}}}[/tex]

We can write the geometric mean between 2 and 2/9 as -

GM = √(2 x 2/9)

GM = √(4/9)

GM = √4/√9

GM = 2/3

Therefore, the geometric mean between 2 and 2/9 is 2/3.

To solve more questions on Mean, visit the link below-

https://brainly.com/question/10528201

#SPJ3

By simplifying given phrase "twice the sum of a number cubed and nine" and  evaluating it for r = 3 we got that Jessica done it correctly

Cube of any number means multiplying that number with itself 3 times.

For example [tex]3^3=3\times3\times3=27[/tex]

Here given phrase is

twice the sum of a number cubed and nine

let number be r

We can write it as

[tex]2(r^3+9)[/tex]

Now evaluating it for r=3

[tex]2(3^3+9)[/tex]

Now we can simplify it as

[tex]2(27+9)\\\\=(36)\\\\=72[/tex]

By simplifying given phrase "twice the sum of a number cubed and nine" and  evaluating it for r = 3 we got that Jessica done it correctly

To learn more about cube visit : https://brainly.com/question/107100

Answer:

B

Step-by-step explanation:

sorry if I'm late<3

∠G , ∠H , ∠K

∠G and ∠H are congruent as they have same shape and size. Their angle measure and length is same. Either of the shape is reflected over the x-axis. ∠K is congruent with the shape, due to same angle measure and is enlarged over the y-axis.

∠M is not congruent, it does not have similar shape. Their angle differs.

Answer:

H, G, K

Step-by-step explanation:

G and H are congruent. Their angle measure and length is same. K is congruent with the shape.

M is not similar it does not have the same shape. It's angle differs.

The arrangement of categories on the Pareto graph is such that B) The categories are arranged in order of their frequencies from the most frequent to the least frequent.

A pareto graph is such that the category which has the highest frequency will be shown first. The next highest is second and this goes on till the least.

The attached pareto graph does this by showing traffic as the first because it has the highest frequency.

In conclusion, option B is correct.

Find out more on pareto graphs at https://brainly.com/textbook-solutions/q-22-state-graph-pareto-chart-time-series-6#q-22-state-graph-pareto-chart-time-series-2.

Answer:

The answer is 25

Step-by-step explanation:

I used a calculator. if this is for a quiz for other people do

A. 25

B. 34

C. -5

D. -65

Answer:

3 odd numbers can make 169, for an example,

33 + 63 + 73

If my answer helped, then kindly mark me as the brainliest!!

Thank You!!

Answer:

Step-by-step explanation:

Sum of first n odd numbers=n²

13²=169

Therefore sum of 13 odd numbers is 13²

1+3+5+7+9+11+13+15+17+19+21+23+25=169=13²

Answer:

0%

Step-by-step explanation:

125/100x375

=468.75

75/100x375

= 281.25

gain= 468.75-375

=93.75

loss=375-281.25

=93.75

375x2=750

468.75+281.25

=750

750/750x100

=100%

100%-100%

=0%

its neither a gain nor a loss

Answer:

−6x^2 −26x +60

Step-by-step explanation:

Simplify the equation.

Answer:

improper fraction- 475/100

mixed fraction- 4 75/ 100

Answer:

[tex]P=236000(1+0.04)^t[/tex]

Step-by-step explanation:

Exponential equation:  [tex]y=a(1+r)^x[/tex]

where:

Given:

Therefore,

[tex]\implies P=236000(1+0.04)^t[/tex]

Note the rule

[tex]\\ \rm\rightarrowtail y=P(1+\dfrac{r}{100})^t[/tex]

Now

Put it

[tex]\\ \rm\rightarrowtail y=236000(1+4/100)^t[/tex]

[tex]\\ \rm\rightarrowtail y=236000(1+0.04)^t[/tex]

Answer:

Step-by-step explanation:

6) The diagonals of an isosceles trapezoid are congruent.

7) D) A diagonal of a kite bisects each of the non congruent angles and the other diagonal.

8) C) The diagonals of an isosceles trapezoid are congruent.

Hint:

Properties of isosceles trapezoid:

1. Only one pair of opposite sides are parallel.

2. The diagonals are congruent.

3. The  base angles are congruent.

4. The opposite angles are supplementary.

Answer:

10x+2k=(2m+70) x + 49

10= 2m+70

2m=-60

m = -30

2k=49

k= 49/2

Answer:B

5x-8/12y

Step-by-step explanation:

Answer:

3:2:1

Step-by-step explanation:

2 is the grilled chicken

Hope this helps.

Answer:

  D.  6×10^-3

Step-by-step explanation:

When powers of the same base are divided, the power of the denominator is subtracted from the power of the numerator.

  [tex]\dfrac{0.000024}{4\times10^{-3}}=\dfrac{24\times10^{-6}}{4\times10^{-3}}=\dfrac{24}{4}\times10^{-6-(-3)}=\boxed{6\times10^{-3}}[/tex]

__

A calculator or spreadsheet can help you with these.

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  [tex]2x^4-3 > 0[/tex]

In  [tex]y=a^{1/n}[/tex] n is root index of a.

Here given equation

x greater-than  RootIndex 4 StartRoot Start Fraction 3 Over 2 x EndRoot EndFraction.

It can be written as:

[tex]x > (\frac{3}{2} )^{1/4}\\\\x^4 > \frac{3}{2}\\ \\2x^4 > 3\\\\2x^4-3 > 0\\\\[/tex]

By simplifying we got that  x greater-than 0 RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction. can be written as :  [tex]2x^4-3 > 0[/tex]

To learn more about root index visit : https://brainly.com/question/8952483

The value of the tangent when the angle is from 180 to 270 is 0.9392. Then the correct option is B.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

If sine Θ almost equals negative 0.7660.

Then the angle will be

[tex]\theta = sin ^{-1} (-0.7660)\\\\\theta = -49.996^o[/tex]

The interval of the angle is from 180 degrees to 270 degrees. Then we have to add 270 degrees in the angle. Then the angle will be

[tex]\theta = -49.996^o + 270^o\\\\\theta = 220.0039^o[/tex]

Then the tangent of Θ will be given as

[tex]tan \theta = tan \ (220.0039^o) = 0.8392[/tex]

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Answer:

C.     1.1916

Step-by-step explanation:

Have a great day

Answer:

$2,790

Step-by-step explanation:

This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:

Rate*value

=31/1000*90000

=$2,790

the answer is $2,790

3(2x-4)

= 3*2x-3*4

= 6x-12