The length of a rectangle is 2ft longer than its width.
If the perimeter of the rectangle is 40ft , find its area.

Answers

Answer 1
The area is 96ft.

We know that the perimeter includes four sides. Divide the 40 by 4. You will get 10. Four sides of ten would get you a perimeter of 40. Now take two tens, one for the length and the width. Add 2 to one side and subtract 2 from the other. This will get a length of 12 and a width of 8. Than multiply the 12 and 8 to get the area. You will get 96.

Related Questions

185.30 divided by 357.25

Answers

Answer:

0.52014035087

Step-by-step explanation:

Answer:

0.51868439468

Step-by-step explanation:

Hello
Can anyone answer this
9+x=190

Answers

Answer:

9+x=190

Step-by-step explanation:

9+181=190

You make x the subject and group like terms which will be
x=190-9
x=181

PLZ HELP!! NEED QUICKLY!!
Fill In The Blanks!!

Answers

Answer:

Step-by-step explanation:

Statement                                   Solution

1. AB = CB                                  Definition of isosceles triangle

2: AD = DC                                  BD is the median to base AC

3. BD = BD                                 Reflexive property

4. ΔADB ≅ ΔADC                       Side Side Side Congruent

Find the radius of the circle. The center of the circle is (2, -3) and a point that lies on the circle is (-1, -2).

Answers

Answer:

[tex]\displaystyle r = \sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Geometry

Definition of a radius - the center of a circle to any point to the circumference

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Center (2, -3) → x₁ = 2, y₁ = -3

Circumference point (-1, -2) → x₂ = -1, y₂ = -2

In this case, the distance d from the center to the circumference point would be the radius r of the circle.

Step 2: Find Radius r

[Distance Formula] Define equation [Radius]:                                               [tex]\displaystyle r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Substitute in points [Radius]:                                                                         [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2--3)^2}[/tex][Radius] [√Radical] (Parenthesis) Simplify:                                                     [tex]\displaystyle r = \sqrt{(-1-2)^2+(-2+3)^2}[/tex][Radius] [√Radical] (Parenthesis) Subtract/Add:                                           [tex]\displaystyle r = \sqrt{(-3)^2+(1)^2}[/tex][Radius] [√Radical] Evaluate exponents:                                                       [tex]\displaystyle r = \sqrt{9+1}[/tex][Radius] [√Radical] Add:                                                                                 [tex]\displaystyle r = \sqrt{10}[/tex]

3. Technology required. Gateway Arch in St. Louis, Missouri, is 630 feet tall. Priya can look

up at a 50 degree angle to see the top of the arch. How far away from the base of the

arch is she standing?

Answers

Tan(50°) = 630/x
x = 630/tan(50°) = 528 ft

Priya is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

What is trigonometry?

In the field of mathematics known as trigonometry, correlations between angles and length ratios are studied. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given parameters:

Height of the Gateway Arch in St. Missouri = 630 feet.

Priya have to look up at a 50° angle to see the top of the arch.

Now from definition of tanθ in trigonometry:

tan50° = height of the Gateway Arch in St. Missouri ÷ distance of Gateway Arch in St. Missouri

hence, distance of Gateway Arch in St. Missouri = height of Gateway Arch in St. Missouri ÷  tan50°

= 630 feet  ÷  tan50°

= 528.63 feet.

Hence, she is standing 528.63 feet away from the base of Gateway Arch in St. Missouri.

Learn more about trigonometry here:

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Which algebraic expression matches the word phrase “A number minus seven is two”?
Group of answer choices

7 - x = 2

x - 7 = 2

x - 2 = 7

x = 7 - 2

Answers

Answer:

x - 7 = 2

Step-by-step explanation:

A number = x

minus seven = - 7

is two =  "= 2 "

Help ASAP being timed please.

Answers

Answer:

Its the third one

Step-by-step explanation:

Plot all of the points onto the graph, and draw a line through all of the points. It most closely resembles the third one

How to write and graph at least 10 on a number line​

Answers

Answer:

hope it helps you (:

Step-by-step explanation:

Graphing an inequality on a number line, is very similar to graphing a number. For instance, look at the top number line x = 3. We just put a little dot where the '3' is, right?

Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it.

Just remember

if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below

if the symbol is (> or <) then you do not fill in the dot like the bottom two examples in the graph below

To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.

2) Egbert's twin sister Egberta runs her own small business making pies. She delivers all
her own orders. For each order, she charges a flat delivery fee, and a cost per pie. Client 1
makes orders 2 pies and it costs $62. This is expressed as the ordered pair (2, 62).
a) Client 2 orders 11 pies for a total cost of $287. Express this as an ordered pair.
I
b) Find the slope between these 2 points.
c) Write a linear equation to represent this scenario where x is the number of pies
and y is the total charges
d) What is the cost per pie?
What is the delivery fee?
e) Use the equation to find out how much she would charge for 8 pies
f) How many pies would result in a total charge of $262 ?
Focus

Answers

Answer:

Step-by-step explanation:

a. (11,287)

b. 25

c. y = 25x + 12 (not sure if this is correct)

d. $25 and $12

e. $212

f. 10 pies

What is the Unknown number in proportion

Answers

Answer:

8*7/4=7x

56/4=7x

14=7x

x=2

Step-by-step explanation:

!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer

Answers

Answer:

I dont see the question

Step-by-step explanation:

soryy

Sorry there’s no question or picture attached. ://

What da answer I’d does not say

Answers

What’s the question?

10z = 60
step by step solution, please help!

Answers

Answer:

if you're trying to find z it equals 6

Step-by-step explanation:

because 60 ÷ 10 = 6

Answer:

divide 10 from z

z is alone

now divide 10 from 60

you get 6

z=6

I kinda suck at explaining stuff but hope that helps

(3x ^ 2 - 4 + x ^ 3) / (x - 1)
Synthetic Division

Answers

Answer:

i love algebra anyways

the ans is in the picture with the steps

(hope it helps can p lz have brainlist it will make my day

Step-by-step explanation:

PLEASE HELP! WILL GIVE YOU BRAINLEST
Alana is riding a Ferris Wheel with Brianna and either Lindsay, Emily, or Janelle.
Lindsay is at the movies.
Emily does not like caramel apples.
Janelle is afraid of heights and won't go on rides over 15 feet high.
.
.
Who is the third person riding the Ferris Wheel?
third person =

Answers

Answer:

Emily because Lindsay is at the movies so she can't ride the Ferris Wheel. Janelle is too afraid to go that high. Emily only doesn't like caramel apples so she can still go on the Ferris Wheel.

Answer:

Emily

Step-by-step explanation:

The third person riding on the ferris wheel is Emily. why? well Lindsey is at the movies so she can't be at the carnival riding the ferris weel, Janelle is afraid of heights so their is no way she would ride the ferris wheel, but Emily just doesn't like Carmel apples which would not stop her from riding the ferris wheel.

Which characteristic is related to kenitic energy but not potential energy? A) An objects height B) An objects speed C) An objects shape D) An objects mass

Answers

Answer:

b. an objects speed

Step-by-step explanation:

because the kinetic energy is energy that is produce by movement but potential is not produce by movement

1:13 scale model bobble head of you, how tall would it be in centimeters if you are 170.18 cm?

Answers

Answer:

13,1cm

Step-by-step explanation:

1 : 13

1 : 170,18cm

170,18cm divided 13 : 170,18cm

13,090cm : 170,18cm

or

13,1cm : 170,18cm

bobble head is

13,1cm

cmiiw!

Write the recursive and explicit formula for 10, 30, 90, 270...

Answers

you multiply the previous term by 3 each time

Answer:

Multiply by 3 each time

After 270 youll get 810 because i multiplied 270 by 3

The formula is  3 . 10 right? Correct me if im wrong.

Which angles measure 130?

Answers

Angle 5 is always 130 degrees

Amphibian populations are in decline worldwide due to the increasing prevalence of ranavirus infections. Herpetologists (those that study amphibians and reptiles) are especially concerned with how ranavirus infections may be affecting Ozark and eastern hellbender populations.

Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%. Suppose a random sample of size 118 is taken of the eastern hellbender population and a random sample of size 177 is taken of the Ozark hellbender population. Every hellbender in each sample is tested for ranavirus, and the sample proportions for each of the two samples are calculated.

Required:
Which of the two sample proportions is more likely to exceed 22% ?

Answers

Answer:

The sample proportion of size 177 is more likely to exceed 22%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Suppose both populations of hellbenders are known to have ranavirus infections at a rate of 25%.

This means that [tex]\mu = p = 0.25[/tex]

Sample of size 118:

[tex]n = 118, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0399[/tex]

Probability of sample proportion above 22%.

This is 1 subtracted by the pvalue of Z when X = 0.22. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.25}{0.0399}[/tex]

[tex]Z = -0.75[/tex]

[tex]Z = -0.75[/tex] has a pvalue of 0.2266

1 - 0.2266 = 0.7734

0.7734% probability that a random sample of size 118 exceeds 22%.

Sample of size 177:

[tex]n = 177, so [tex]s = \sqrt{\frac{0.25*0.75}{118}} = 0.0325[/tex]

Probability of sample proportion above 22%.

This is 1 subtracted by the pvalue of Z when X = 0.22. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.22 - 0.25}{0.0325}[/tex]

[tex]Z = -0.92[/tex]

[tex]Z = -0.92[/tex] has a pvalue of 0.1788

1 - 0.1788 = 0.8212

0.8212 = 82.12% probability that a random sample of size 177 exceeds 22%.

82.12% > 77.34%, so the sample proportion of size 177 is more likely to exceed 22%.

The sample proportion that is more likely to exceed 22% is; the sample proportion with a sample size of 177

Central Limit Theorem

We are given;

Population proportion; p = 25% = 0.25

Now, in central limit theorem, the formula for standard deviation is;

σ = √(p(1 - p)/n)

For a sample size of 118, we have;

σ = √(0.25(1 - 0.25)/118)

σ = √0.001588983

σ = 0.03986

Similarly, for a sample size of 177, we have;

σ = √(0.25(1 - 0.25)/177)

σ = √0.001059322

σ = 0.032547

Since we want to find which of the two sample proportions will likely exceed 22% which is p₀ = 0.2, we will use the formula;

z = (p₀ - p)/σ

For sample size of 118, we have;

z = (0.22 - 0.25)/0.03986

z = -0.75

From online p-value from z-score calculator, we have;

p-value = 0.7734 or 77.34%

For sample size of 177, we have;

z = (0.22 - 0.25)/0.032547

z = -0.92

From online p-value from z-score calculator, we have;

p-value = 0.8212 or 82.12%

The p-value of the sample of 177 is higher than the p-value for the sample of 118 and so we can say that the sample proportion with a sample size of 177 is more likely to exceed 22%

Read more about Central Limit theorem at; https://brainly.com/question/25800303

2. Two boxes are being shipped at a facility. One
box weighs 25.09 pounds, and the other box
weighs 25.018. Which box weighs more? Explain
and prove your answer.

Answers

Answer:

i think 25.09 weighs more

Step-by-step explanation: well simply 25.018 has more decimal places down therefore making it a smaller number

sorry if you get it wrong :c

The graph of a function f is shown below.
Find one value of x for which f(x) = -4 and find f (2).
helppp pleaseeee

Answers

(0,-4) and (2,-3) are points on the graph. f(0) = -4
f(2) = -2

Anyone wanna play Splatoon 2?


(if no then don't answer}

Answers

Answer:

What is that?

Step-by-step explanation:

Answer:

Sure I do not know how to join others tho and I don't have wifi sadly :(

Step-by-step explanation:

brainliest for answer

Answers

Answer:

b=2f+6

b=2*9+6

b=18+6

b=24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

2 x 9 + 6 = 24

what is 16 to the power of a half

Answers

Answer:

4

Step-by-step explanation:

Hi! 8th grade math problem for you. Please see the screenshot

Answers

Answer:

r=4/2=2cm

total volume=volume of cylinder + cone=πr²h+1/3πr²h'=πr²(h+1/3 h')=2²π((10-3)+1/3× 3)=4π(7+1)=8×4π=32πcm³

Select the correct answer.
Which function has an inverse function?
OA. F(x) = |x-4|+ 1
OB. F(x) = 25x^2+70x+49
OC. F(x) = x^4
OD. F(x) = x+3/7

Answers

Maybe c I’m not completely sure tho

In the given functions, the function f(x) = x+3/7 is a inverse function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The function should be bijective function ( one-to-one and onto) to be a  inverse function.

f(x)=|x-4|+1

It is absolute function. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [1,∞)

So the function  f(x)=|x-4|+1 is not inverse.

f(x) = 25x²+70x+49

It is quadratic function. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [0,∞)

So the function f(x) = 25x²+70x+49 is not inverse.

f(x) =x⁴

It is polynomial function with even degree. Not one-to-one function.

Domain: All real (-∞,∞)

Range: [0,∞)

F(x) = x+3/7

It is linear function. one-to-one and onto

Domain: All real (-∞,∞)

Range: All real (-∞,∞)

F(x) = x+3/7 is a inverse function.

Hence, in the given functions, the function f(x) = x+3/7 is a inverse function.

To learn more on Functions click:

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If anyone understands this pls helpp me

Answers

They have the same no of students
Lets say they have 20 each
95% of 20 is 19
19/20 of 20 is 19
0.9 of 20 is 18
So Lopez and Foster

Answer: D - Mr. Lopez and Mrs. Foster

Step-by-step explanation: Mr. Lopez had 95% of his class show up. Mrs. Foster also had 95% show up, since 19 divided by 20 is .95. Mrs. Kelly had 90% of students in her class

Atoms are made up of subatomic particles including protons and electrons. The mass of a proton is about 1.6726 x
10-27 kg and the mass of an electron is about 9.1094 x 10-31 kg. Determine how much mass a proton and electron
has combined. Express the result in scientific notation.
O 1.6717 x 10-27
O 16,717 * 10-31
O 1.6735 x 10-27
O 16,735 x 10-31

Answers

Answer:

C

Step-by-step explanation:

I got a 100%

Write formula for the following mathematical statement.
The force acting on a body is equal to the product of the mass of the body and the acceleration produced by it

Answers

Answer:

F=ma

Step-by-step explanation:

F is force and its measured in Newtons (N)

m is mass measured in kg

a is acceleration measured in metres per second per second

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