Prove that the diagonals of a rectangle bisect each other.

The midpoints are the same point, so the diagonals _____



are parallel to each other.


bisect each other.


have the same slope.


are perpendicular to each other.

Answer:

10 ppl play sport. 2/5= 4/10 so 4 ppl play soccer

Step-by-step explanation:

Answer:

so 1/4 of a circle is 90 degrees 1/4 is equal to 90 over 360 C it's 90 parts of 360. so here we go with this one. this angle is 20 degrees remember that's 90 alright the square one and this little part would be 20 degrees each angle appears wider as the Rays get longer.

Step-by-step explanation:

Let me know if this help's you lol :)

Answer:

295.2

Step-by-step explanation:

Answer:295.2 cm^3

Step-by-step explanation:

Length=L=15cm

Width=w=4.1cm

Height=h=4.8cm

volume of rectangular prism=L x w x h

Volume=15x4.1x4.8

Volume=295.2 cm^3

Answer:

Step-by-step explanation:

4.5

Answer:

4.5

Step-by-step explanation:

i did the test

Answer:

a) Mean = $1,595.83

b) Median = $1,675

c) Mode = $1,950

d) Midrange = $1,475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Step-by-step explanation:

The data set for selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine.

1850   1950   1600   1950   1650   1000   1950   1400   1000   1700   1950   1150

a) Mean

The mean is the sum of all the variables in the distribution divided by the number of variables.

Mean = (Σx)/N = (1850+1950+1600+1950+1650+1000+1950+1400+1000+1700+1950+1150)/12

= (19,150/12) = $1,595.83

b) Median

The median is the variable that falls at the middle of the distribution when all the variables are arranged in ascending or descending order.

Arranging this dataset

1000, 1000, 1150, 1400, 1600, 1650, 1700, 1850, 1950, 1950, 1950, 1950   

The numbers in the middle of this distribution include the sixth and seventh variables respectively, 1650 and 1700

Median = (1650+1700)/2 = $1,675

c) Mode

The mode is the variable with the highest frequency in the distribution. It is the variable that occurs the most in the distribution.

Evidently, the selling price with the highest frequency or the selling price that occurs the most in this distribution = $1950

d) Midrange

The midrange is given mathematically as

Midrange = [(Highest variable) + (lowest variable)] ÷ 2

Highest variable = 1950

Lowest variable = 1000

Midrange = (1950+1000)/2 = $1475

e)

- No, the resulting statistics are not representative of the population of all TVs that are 60 inches and​ larger because it is given that the dataset provided is for the selling prices of TVs that are 60 inches or larger and rated as a​ "best buy" by a popular magazine, hence, this dataset is representative of the best type of TVs that are 60 inches and​ larger and not all TV sets.

- The statistic that is most relevant other than the measures of central tendency is the standard deviation, a measure of dispersion It shows the variation of the selling prices of different best TVs that are 60 inches and​ larger, especially their variations from the mean.

Hope this Helps!!!

Answer:

Step-by-step explanation: answer is 480 cubic feet. Just do 8 x 6 x 10.

Answer: [tex]9m=10[/tex] or [tex]m=\frac{10}{9}[/tex]

I don't know your options... but you can check my work below and see if any of the other options fit yours.

Step-by-step explanation:

[tex](x^2 + 3)2 + 7x^2 + 21 =10[/tex]

If [tex]x^2+3=m[/tex], we can rewrite this as;

[tex](m)2+7x^2+21=10\\2m+7x^2+21=10[/tex]

By grouping, we can factor another m.

[tex]2m+(7x^2+21)=10[/tex]

Factor a 7.

[tex]2m+7(x^2+3)=10[/tex]

Rewrite it in terms of m.

[tex]2m+7m=10[/tex]

Combine like terms;

[tex]9m=10[/tex]

Divide by 9

[tex]m=\frac{10}{9}[/tex]

Answer: 6.534 x 10^(-1)

Step-by-step explanation:

Six thousand five hundred and thirty four ten thousandth

6534/10000

Convert to decimal

6534/10000=0.6534

Then convert to standard form

0.6534=6.534 x 10^(-1)

Answer:

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

Step-by-step explanation:

We can solve this question using a system of equations.

I am going to say that:

x is the price of a burger.

y is the price of a gatorade.

6 burgers and 4 gatorades for $14.10

This means that [tex]6x + 4y = 14.10[/tex]

3 burgers and 4 gatorades for $9.15.

This means that [tex]3x + 4y = 9.15[/tex]

Will write 4y as a function of x.

[tex]4y = 9.15 - 3x[/tex]

Replacing in the first equation:

[tex]6x + 4y = 14.10[/tex]

[tex]6x + 9.15 - 3x = 14.10[/tex]

[tex]3x = 4.95[/tex]

[tex]x = \frac{4.95}{3}[/tex]

[tex]x = 1.65[/tex]

And

[tex]4y = 9.15 - 3x[/tex]

[tex]4y = 9.15 - 3*1.65[/tex]

[tex]4y = 4.2[/tex]

[tex]y = \frac{4.2}{4}[/tex]

[tex]y = 1.05[/tex]

The cost of a burger is $1.65 and the cost of a gatorade is $1.05.

Answer:34%

Step-by-step explanation:I think this is right but I don’t really understand

Answer:-53/12

Step-by-step explanation:

-7 2/3+(-5 1/2)+8 3/4

-7 2/3-5 1/2+8 3/4

-23/3 - 11/2 + 35/4

(4x-23 - 6x11 + 3x35)/12

(-92-66+105)/12=-53/12

Answer:

work is shown and pictured

Answer:

The volume of Gabe's kitchen is 680 ft^3

Step-by-step explanation:

The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.

Volume = floor area × height

Given;

Floor area = 85 ft^2

Height = 8 ft

Substituting the given values into the equation;

Volume = 85 × 8 = 680 ft^3

The volume of Gabe's kitchen is 680 ft^3

Answer:

4 &5

Step-by-step explanation:

5*4 = 20 which is less than 27. 5*5 = 25 which is less than 27.

Hope this helps.

Answer:

i cant help you because i cant see the things on the picture if u get a better picture i can help

Step-by-step explanation:

Answer:

0.004

Step-by-step explanation:

The probability of rolling any number is 1/6 so that times 3 is 1/216 that as a decimal i 0.004

Answer: 314.16

Step-by-step explanation: To find the area of a circle you have to square the radius then multiply by pi. 10 squared is 100 then multiplied by pi is 314.16 (rounded to the nearest hundredth).

Answer:

its 40

Step-by-step explanation:

i think

Answer: 26

Step-by-step explanation: Take the mean of the 5 #'s (23). Which # is 3 away from 23? 26.

Answer:

$12.38

Step-by-step explanation:

Answer:

Step 1

Step 4

Step 3

Step 2

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

What is the simplification?

Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

Here given expression is

[tex](3+1)^2-17(2)+\frac{24}{3}+5[/tex]

Step 1:-

Simplify the parenthesis

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5[/tex]

Step 2:- Evaluate exponents

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5[/tex]

Step 3:-Perform multiplication and division

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5[/tex]

Step 4:- Perform addition and subtraction left to right

[tex](3+1)^2-17(2)+\frac{24}{3}+5\\\\=(4)^2-17(2)+\frac{24}{3}+5\\\\=16-17(2)+\frac{24}{3}+5\\\\=16-24+8+5\\\\=29-24\\\\=5[/tex]

Hence, the order of steps needed to simplify this expression is

Step 1

Step4

Step3

Step2

To know more about the simplification

https://brainly.com/question/12795317

#SPJ5

Answer:

A.

Step-by-step explanation:

We would reflect the point P so that another point would be made of the same length from the line.

1.

Looks like

[tex]y=2\sqrt[3]{x}+\dfrac1{x^2}+\pi[/tex]

Write [tex]\sqrt[3]{x}[/tex] as a fractional power, [tex]x^{1/3}[/tex]. This makes it more obvious that the power rule should be used here.

[tex]y'=(2x^{1/3})'+(x^{-2})'+\pi'[/tex]

[tex]y'=\dfrac23x^{-2/3}-2x^{-3}[/tex]

[tex]y'=\dfrac2{3\sqrt[3]{x^2}}-\dfrac2{x^3}[/tex]

2.

[tex]y=(\sin(2x)+\tan(3x))^e[/tex]

Power and chain rule:

[tex]y'=\left((\sin(2x)+\tan(3x))^e\right)'[/tex]

[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\sin(2x)+\tan(3x))'[/tex]

[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(\cos(2x)(2x)'+\sec^2(3x)(3x)')[/tex]

[tex]y'=e(\sin(2x)+\tan(3x))^{e-1}(2\cos(2x)+3\sec^2(3x))[/tex]

Answer:

Local minimum at x = 0.

Step-by-step explanation:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

Local minimums occur when g'(x) = 0 and g"(x) > 0.

Local maximums occur when g'(x) = 0 and g"(x) < 0.

Set g'(x) equal to 0 and solve:

0 = 2x (x − 1)² (x + 1)²

x = 0, 1, or -1

Evaluate g"(x) at each point:

g"(0) = 2

g"(1) = 0

g"(-1) = 0

There is a local minimum at x = 0.

Answer:

aã/fjd &dsjf éfbcsçvn bñßã

Answer:

y=a

Step-by-step explanation:

Answer:

8. -⅓ cos³x + C

9. sec x + eˣ + C

Step-by-step explanation:

8. ∫ sin x cos²x dx

If u = cos x, then du = -sin x dx.

∫ -u² du

-⅓ u³ + C

-⅓ cos³x + C

9. ∫ (sec x tan x + eˣ) dx

∫ sec x tan x dx + ∫ eˣ dx

These are both standard integrals:

sec x + eˣ + C

Question 8:

∫sinxcos²xdx

∫-u²du (let u = cos(x))

-∫u²du

-u(^2+1)/2+1

-cos^(2+1)(x)/2+1

-1/3cos³(x)

-1/3cos³(x) + C

Question 9:

∫(secxtanx + eˣ)dx

∫sec(x)tan(x)dx + ∫eˣdx (apply sum rule)

sec(x) + eˣ (sec(x)tan(x)dx = sec(x) and eˣdx = eˣ)

sec(x) + eˣ + C

Best of Luck!

Answer:

I am pretty sure that it is 5/8

Step-by-step explanation:

Answer: 5/8

Step-by-step explanation: 1/4 turns into 2/8 and then subtract 2/8 from 7/8 and you get 5/8