You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).

Answers

Answer 1

Answer:

Step-by-step explanation:

The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units.  The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units.  If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).

The next thing to do is to calculate the length of the hypotenuse of this triangle.  Using the Pythagorean Theorem, we get:

d = √(7² + 7²) = 7√2 ft.

The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd

and ...

The area of the triangular shape is A = (1/2)(base)(height), which here is

A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2


Related Questions

9.3 × 10^{7} - 3.4×10^{6} = ?

Answers

Answer:

8.96 x 10^7

Step-by-step explanation:

9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000

89600000 can also be written as 8.96 x 10^7

Carlos is five years older than twice his sister's age. Carlos is 13.

Which equation and solution correctly identifies his sister's age?

A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer

Answers

Answer:

a. ) 4

Step-by-step explanation:

13-5= 8

8/2=4

Answer:

A.) 2 x + 5 = 13; x = 4

Step-by-step explanation:

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021

Answers

Answer:

$91,500

Step-by-step explanation:

The land appreciates 5% of 30k which is $1,500 and multiply that by 61

The approximate value of the land in 2021 will be $588,394.356.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Value of the land in 1960 = $30,000

Each year, the value is increasing approximately 5 % = 5/100 = 0.05.

Value of the land in 1961 = 30,000 + (30,000 × 0.05)

                                         = 30,000 (1 + 0.05)

                                         = 30,000 × 1.05

Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)

                                          = (30,000 × 1.05) (1 + 0.05)

                                          =  (30,000 × 1.05) (1.05)

                                          = 30,000 × (1.05)²

So each year previous value is multiplied with 1.05.

Value of the land after n years = 30,000 × (1.05)ⁿ

Value of the land after 61 years = 30,000 × (1.05)⁶¹

                                                     = 588,394.356

Hence the approximate value of the land in 2021 is $588,394.356.

Learn more about Multiplication here :

https://brainly.com/question/14332252

#SPJ2

What is the area of a rectangle with length (3^2)^2 meters and width of 3^2 meters?

Answers

Answer:

729m^2

Step-by-step explanation:

Area of rectangle  = length x width

From the question, we know that length = 3^2^2 = 81 ( three squared is 9. Nine squared is 81)

width = 3^2 = 9.

Now for the area: length x width = 81 x 9 = 729m^2.

Please mark brainiest.

Area of the rectangle is length * breadth
So,
Here, length given is [3^2]^2 = 3^4 which is = 81
Width is 3^2 which is = 9

Therefore,

l*b= 81*9=729

Answer is 729 m^2




Hope it helps!

Answer fast!!
The diagram represents three statements about teachers: p, q, and r.



For how many teachers are both p ∧ r true and q false?

2
4
5
9

Answers

Answer: 5

Step-by-step explanation:

For how many teachers are both p ∧ r true and q false?

(p ∧ r) ∧ (q')

q' = q complement (not in q)

p intersection r = (p ∧ r) = 9

both p ∧ r true and q false = (8+6) - 9

both p ∧ r true and q false = 14 - 9 = 5

OR

p + r - p ∧ r

8 + 6 - 9 = 14 - 9 = 5

Answer:

The answer is C (5) on Edge.

Step-by-step explanation:

What is the slope of the line shown below?

Answers

Answer:

4

Step-by-step explanation:

(9 - 1) / (3 - 1) = 8/2 = 4

Answer:

4

Step-by-step explanation:

To find the slope using two points

m= (y2-y1)/(x2-x1)

   = (9-1)/(3-1)

   = 8/2

   = 4

HELLPPPP HELPPP PLEASEE

Answers

Answer:

| 4x - 6 | = - 6

Step-by-step explanation:

The absolute value function always produces a positive value.

| 4x - 6 | = - 6 ← negative value is not possible

Answer:

The first one

Step-by-step explanation:

For the second one x is equal to 11 bc -2 minus 11 is 9 which is a solution

The third one x is equal to 0 which is a solution

The last one x is equal to 4 which is a solution

There are no solution for the first on bc it does not equal to -6

Correct me if this is wrong

Find the value of x the triangle shown below

Answers

Answer:

[tex]82[/tex]

Step-by-step explanation:

[tex]24+74+x=180[/tex]

[tex]98+x=180[/tex]

[tex]x=180-98[/tex]

[tex]x=82[/tex]

Answer:

x =82

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees

24+74+x = 180

Combine like terms

98+x = 180

Subtract 98 from each side

98+x-98= 180-98

x =82

Really need help it’s due tomorrow

Answers

Answer:

C) 38

Step-by-step explanation:

You are solving for m∠QSR.

Given:

m∠TSR (Total of the two angles) =  70

m∠QST = 2x

m∠QSR = 3x - 10

Set the two angles equal to the total measurement of angles:

2x + 3x - 10 = 70

Simplify. Combine like terms. Add 2x & 3x:

2x + 3x = 5x

5x - 10 = 70

Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 10 to both sides:

5x - 10 = 70

5x - 10 (+10) = 70 (+10)

5x = 70 + 10

5x = 80

Next, divide 5 from both sides:

(5x)/5 = (80)/5

x = 80/5

x = 16

Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.

m∠QSR = 3x - 10

m∠QSR = 3(16) - 10

m∠QSR = 48 - 10

m∠QSR = 38

C) 38 is your answer.

~

Answer:

38

Step-by-step explanation:

the sum of two angles =70

2x+3x-10= 70

5x=80

x=80/5=16

QSR= 3x-10=3*16 -10= 48-10= 38

Select the correct answer. Consider these equations: f(x)=[tex]x^{3}[/tex]+3 g(x)=[tex]x^{2}[/tex]+2 Approximate the solution to the equation f(x) = g(x) using three iterations of successive approximation. Use this graph as a starting point.

Answers

Answer:

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

[tex]x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}[/tex]

Hope this helps!

Answer:

-13/16

Step-by-step explanation:

f(x)=x^3+3

g(x)=x^2+2

We know the solution is around -1

x^3+3 = x^2 +2

Subtract x^2+2 from each side

x^3 -x^2 -1 = f(x)

We need to find the derivative

3x^2 -2x = f'(x)

Newtons method of successive approximation states

xn+1 = xn -f(xn) / f'(xn)

Function

x3−x2+1

Derivative

x⋅(3⋅x−2)

x

-0.75488

Iterations

Step x F(x) |x(i) - x(i-1)|

x1 -0.8      -0.152000 0.152000

x2 -0.75682 -0.006259 0.006259

x3 -0.75488 -0.000012 0.000012

The approximate answer is -0.75488

The closest answer given is -13/16

32/20 fully reduced in prime numbers

Answers

Answer:

8/5

Step-by-step explanation:

EL NUMERADOR Y EL DENONINADOR SE DIVIDEN AL MISMO TIEMPO

ENTRE LOS NÚMEROS PRIMOS EN ORDEN HASTA QUE YA NO PUEDAN

DIVIDIRSE.

Lia has a dog and a cat. Together, the pets weigh 24 pounds. The dog weighs 2 times as much as the cat.

Answers

Answer:

The dog weighs 16 pounds, while the cat weighs 8 pounds

Step-by-step explanation:

Let's call the weight of the dog d, and the weight of the cat c.

d+c=24

d=2c

Substitute the second equation into the first:

(2c)+c=24

3c=24

c=8

d=24-8=16

Hope this helps!

A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answers

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

(7, 10) and (7, 20)

Slope-intercept form:

y= mx+b

slope is:

m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

----------

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

no, numerator is not zero

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

no, it has no slope

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

no, numerator is not zero

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

yes

Answer:

D;

Step-by-step explanation:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*

Answers

Answer:

The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 50 feet

So,

[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]

So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Which of the following expressions represents the area, in square meters, of the regular decagon (10-sided polygon) with 3.25 meter-sides and a 5-meter apothem.

Answers

Answer:

A = P * a / 2

A = 81.25

Step-by-step explanation:

We have that there is a corresponding formula for a regular decagon, which depends on the apothem and the perimeter, it is the following:

A = P * a / 2

In this case, the perimeter is the sum of all the sides, that is, 10 sides, therefore:

P = 10 * 3.25

P = 32.5 meters

We replace:

A = 32.5 * 5/2

A = 81.25

Which means that for that regular decagon, the area is 81.25 square meters.


Plzzzz help fast !!


One month Chris Rented 3 movies and 2 video games for a total of $15 . the next month he rented 8 movies and 4 video games for a total of $33. find the rental cost for each movie and each video game

Answers

Answer:

Both are a total of $3

Step-by-step explanation:

Because if you add 3+2= 5 and then you divided; 15÷5= 3, then you add 8+4=12, and you do the same like the other; 33÷12= 2.75 and if you round it, the answer will be 3.

So in conclusion both the movies and the video games are $3

Please help I’m struggling with this one :((

Answers

Answer:

Domain: { 2,3,4,5}

Step-by-step explanation:

The domain is the inputs to the function

In this case it is the x values

Domain: { 2,3,4,5}

Answer:

C. (2,3,4,5)

Step-by-step explanation:

The domain is x and the range is y.

Angle BCD is a circumscribed angle of circle A. Angle BCA measures 40°. What is the measure of minor arc BD?

Answers

Answer:

100°

Step-by-step explanation:

From the image attached, line BC and line CD are tangents to circle A. Also, AB and AD are the radius of the circle. The tangent theorem states that the angle between a tangent and the radius is 90°. Therefore:

∠ABC and ∠ADC = 90°.

Given triangle ABC:

∠ABC + ∠BCA + ∠CAB = 180°

∠CAB = 180 - ∠ABC - ∠BCA = 180 - 90 - 40 = 50

∠CAB = 50°

From the two tangent theorem, tangents that meet at the same point have the same length. This means BC = CD, ∠ACD = ∠BCA, ∠CAB = ∠CAD.

arc BD = ∠CAB + ∠CAD = 50 + 50

arc BD = 100°

Answer:

D.

Step-by-step explanation:

(WILL MARK BRAINLIEST FOR THE FIRST TO ANSWER) The square of a number is equal to two less than three times the number. What are two possible values of the number?
A. 1,2
B. -1,2
C. 1,-2
D. -1,-2
E. 2,3

Answers

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

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

Now let us solve for x;

[tex]x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A[/tex]

Use the synthetic division shown to help factor the polynomial and solve the equation.
What are the solutions of the equation?


1, 4, and –5

1, –4, and 5

–1, –7, and 3

–1, 5, and 9

Answers

Answer:

1. x = -5 and x = 1

2. x = 5 and x = -1

3. no integral solutions

4. no integral solutions

Step-by-step explanation:

Answer:

1, 4, and –5

Step-by-step explanation:

on edge

1
A recipe calls for
cup of milk. If you make 3
times the recipe, how much milk do you need?
2
O
cups
cups
1
2 1 / 2
cups
hose
cups​

Answers

Answer:

I don't really understand your question, but I still think I can explain.

Step-by-step explanation:

The original recipe is doing the recipe once. If you want to make the recipe three times bigger, you have to do all of the ingredients three times bigger, including the milk.

Three times bigger also can be written as 3 × _

So whatever the recipe says for the milk, put the number in the blank and multiply it by three.

Answer:

2 1/3

Step-by-step explanation:

Simplify (x-5)+(X+1)

Answers

Answer:

2x - 4

Step-by-step explanation:

x - 5 + x + 1

→Add like terms (x and x, -5 and 1):

2x - 4

Please help! Correct answer only!

Aisha runs a doggy daycare, where 8 dogs are currently enrolled. The collection of dogs includes 6 of Aisha's favorite type of dog, bulldogs.
If Aisha randomly picks 5 dogs to play in the park during the first time slot, what is the probability that all of them are bulldogs?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

Find the volume of a cone with a radius of 20cm and a height of 15cm.

Answers

Answer:6283.19 cm cubed, assuming pi is 3.14 or it's 2000 pi

Step-by-step explanation:

V=pi r squared times h over 3

Answer:

The answer is around 6283.19

Step-by-step explanation:

I know this because the formula of the cone is V=πr^2h/3 so substituded the known value to get this answer.

Pi equal 3.14

If there is a triangle and the sides are 8&12 and 14 what is the missing angle

Answers

Answer:

8/12 = 14/x

Cross multiplication so

8x=14×12

8x=168

X=168/8

X=21

Clothing price (100 percent) is 26 dollars and 50 cents, Added tax is 5 percent, and total cost is blank. Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes? Step 1: (Original Price)(Tax Percent) = Amount of Tax Step 2: Original Price + Amount of Tax = $

ANSWER PLS

Answers

Answer:

$27.83

Step-by-step explanation:

If Darrien spends 26.50, multiply that by 0.05 (26.50×0.05) which is 1.325 which rounds to 1.33. $1.33 is the amount of tax he has to add. For the full price you would do 26.50+1.33 to get 27.83.

Answer:

The answer is 27.83

Step-by-step explanation:

Thank the person above me.

If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are two triangles necessarily congruent ? Why?

Answers

Answer:

the two triangles are congruent because they have the same sides and angles.

Answer:

Yes, they are congruent. Because the sides and the angles are the same.

Step-by-step explanation:

Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj

Answers

Answer:

The obtuse angle is 120°.The acute angle is 60°.

Step-by-step explanation:

This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.

We can form the expression

[tex]A = \frac{O}{2}[/tex]

Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}

Using all the given information, we have

[tex]O + \frac{O}{2}=180\°[/tex]

Solving for [tex]O[/tex], we have

[tex]\frac{3O}{2}=180\\ O=120\°[/tex]

Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.

Which answers are equal to the expression below? Check all that apply

Answers

Answer:

A, B, D, E, F

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

the answer is => c = 5

...

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