5. Tristan wants to build a square garden in his backyard that will cover an area of 75 ft². If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain.​

Answers

Answer 1

Lets find side

Area=75ft^2

[tex]\\ \sf\longmapsto Area=(side)^2[/tex]

[tex]\\ \sf\longmapsto (side)^2=75[/tex]

[tex]\\ \sf\longmapsto side=8.3ft[/tex]

Perimeter

[tex]\\ \sf\longmapsto 4(side)[/tex]

[tex]\\ \sf\longmapsto 4(8.3)[/tex]

[tex]\\ \sf\longmapsto 33.2[/tex]

He has 1.2ft short material

Related Questions

Which of the following is a qualitative observation?

Question 7 options:

This leaf has grown 3 cm this week.


This leaf is 30 cm long.


This leaf has 8 curved edges.


This leaf is light green in color.

Answers

Answer:

so i think answer of this quiestion is option D

Help please due tomorrow

Answers

Answer:

Can you put a fraction. It is 1/3

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

========================================================

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

---------------------

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

help is really needed...
Find the volume.
A. 240 m³
B. 351 m³
C. 214 m³
D. 356 m³

Answers

Answer:

240m^3

Step-by-step explanation:

Volume = length x width x height.

5x12x4= 240

I badly need help with this!!! Pls pls help, thank you

Answers

Answer:

DAC=18(corresponding angles)

EAD= 162 degrees

Step-by-step explanation:

DAC=18(corresponding angles)

EAD=180-18(angles on a straight line)

EAD= 162 degrees

Answer:

Here, we have,

<HBA=18°

<DAC=?

<EAD=?

Now,

i)<DAC=<HBA=18°[being corresponding angle]

ii)<EAD+<DAC=180°[being straight angle]

or, <EAD+18°=180°

or, <EAD=180°-18°

or, <EAD=162°

Thus, <DAC=18° and<EAD=162°.

Alyssa is buying a new tv that is priced at $570. The sales tax is 8%. How much will she pay total, including the original price and the sales tax

Answers

Answer:

In total she will pay $615.60

Step-by-step explanation: Because 8% of 570 is 45.60 and if you add 45.60 to 570 you get 615.60.

Enter the correct answer in the box.
Linear function is shown in the graph. Write the slope-intercept form of the equation representing this function.
Y
10
8
6-
4
2
-75
-8
-6
X
- 5
-4
O
4
6
8
10
-2-
-4
-6-
N
-84

Answers

Answer:

Slope = 3

y-intercept: - 7

y = 3x -7

Step-by-step explanation:

Can someone help me solving this differential equation?
Find the general solution of [tex]x^4y''+x^3y'-4x^2y=1 given tha [tex]t y_1=x^2 is a solution of the associated homogeneous equation.

Answers

Use reduction of order. Given a solution [tex]y_1(x) = x^2[/tex], look for a second solution of the form [tex]y_2(x) = y_1(x)v(x)[/tex].

Compute the first two derivatives of [tex]y_2(x)[/tex]:

[tex]y_2 = x^2v \\\\ {y_2}' = x^2v' + 2xv \\\\ {y_2}'' = x^2v''+4xv' + 2v[/tex]

Substitute them into the ODE:

[tex]x^4 (x^2v'' + 4xv' + 2v) + x^3 (x^2v' + 2xv) - 4x^2 (x^2v) = 1 \\\\ x^6v'' + 5x^5v' = 1[/tex]

Now substitute [tex]w(x) = v'(x)[/tex] and you end up with a linear ODE:

[tex]x^6w'+5x^5w=1[/tex]

Multiply through both sides by [tex]\frac1x[/tex] (if you're familiar with the integrating factor method, this is it):

[tex]x^5w'+5x^4w = \dfrac1x[/tex]

Bear in mind that in order to do this, we require [tex]x\neq0[/tex]. Just to avoid having to deal with absolute values later, let's further assume [tex]x>0[/tex].

Notice that the left side is the derivative of a product,

[tex]\left(x^5w\right)' = \dfrac1x[/tex]

Integrate both sides with respect to [tex]x[/tex] :

[tex]x^5w = \displaystyle \int\frac{\mathrm dx}x \\\\ x^5w = \ln(x) + C_1[/tex]

Solve for [tex]w(x)[/tex] :

[tex]w = \dfrac{\ln(x)+C_1}{x^5}[/tex]

Solve for [tex]v(x)[/tex] by integrating both sides:

[tex]v = \displaystyle \int \frac{\ln(x)+C_1}{x^5} \,\mathrm dx[/tex]

Integrate by parts:

[tex]\displaystyle f = \ln(x) + C_1 \implies \mathrm df = \frac{\mathrm dx}x \\\\ \mathrm dg = \frac{\mathrm dx}{x^5} \implies g = -\frac1{4x^4} \\\\ \implies v = -\frac{\ln(x)+C_1}{4x^4} + \frac14 \int \frac{\mathrm dx}{x^5} \\\\ v = -\frac{\ln(x)+C_1}{4x^4} - \frac1{16x^4} + C_2 \\\\ v = -\frac{4\ln(x)+C_1}{16x^4}+C_2[/tex]

Solve for [tex]y_2(x)[/tex] :

[tex]\displaystyle \frac{y_2}{x^2} = -\frac{4\ln(x)+C_1}{16x^4}+C_2 \\\\ y_2 = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2[/tex]

But since [tex]y_1(x)=x^2[/tex] is already accounted for, the second solution is just

[tex]\displaystyle y_2 = -\frac{4\ln(x)+C_1}{16x^2}[/tex]

Still, the general solution would be

[tex]\displaystyle \boxed{y(x) = -\frac{4\ln(x)+C_1}{16x^2} + C_2x^2}[/tex]

Chase thought that only 23 people would come to the banquet, but 48 people ended up coming. What was his percent error?

Answers

Answer:

The answer is 52%

ssmoga membantu

What is the area (in square feet) of a rectangle that measures 12'-7" by 9'-9"?

Answers

Answer:

122.6875 (122 ft 8.25 in)

Step-by-step explanation:

12 ft 7in = 151 in

9 ft 9 in = 117 in

151 x 117 = 17667

17667in = 122 ft and 8.25 in = 122.6875 ft

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which statement best defines a circle?
ОА.
the set of all points in a plane that are the same distance from a given point called the center
OB.
the set of all points that are the same distance from a given point called the center
OC. points in a plane that surround a given point called the center
OD the set of all points in a plane that are the same distance from each other surrounding a given point called the center

Answers

9514 1404 393

Answer:

А. the set of all points in a plane that are the same distance from a given point called the center

Step-by-step explanation:

A circle is a plane figure, so the descriptor "in a plane" is part of the definition. The notion of "surrounding" is not defined, so does not specify any particular relationship.

The appropriate definition is ..

  the set of all points in a plane that are the same distance from a given point called the center

What is the factored form of 250x^3 − 16? A. 2(5x − 2)(25x2 + 10x + 4) B. 2(5x + 2)(25x2 − 10x + 4) C. (5x − 2)(25x2 + 10x + 4) D. (5x + 2)(25x2 − 10x + 4)

Answers

Answer:

The choose A.

[tex]250 {x}^{3} - 16 \\ 2(5x - 2)(25 {x}^{2} + 10x + 4)[/tex]

I hope I helped you^_^

The students at a school assembly
were divided into 4 equal groups.
There were 73 students in each
group. Write and solve an equation
to determine the number of students
that were at the assembly.

Answers

Answer:

292

Step-by-step explanation:

73 students in 1 group

4 groups all together

73 Students times 4 groups = amount of students all together

so 73x4=292

find x if 8.4% of x is 420. explain with steps

Answers

Step-by-step explanation:

Pls mark brainliest

Plssssssssssssssss

A percentage is a way to describe a part of a whole. The value of x is 5,000.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that 8.4% of x is 420. Therefore, we can write the given statement in the form of an equation as,

8.4% of x = 420

8.4% × x = 420

(8.4/100) × x = 420

x = (420 × 100)/8.4

x = 5,000

Hence, the value of x is 5,000.

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Please help I’ll give brainly !! FAST THANK YOUUUU

Answers

The opposite of cubing a number is called it's Cube root.All integers have only one cube root.

[tex]\\ \rm\longmapsto \sqrt[3]{8}=2[/tex]

[tex]\\ \rm\longmapsto \sqrt[3]{-8}=-2[/tex]

Answer:

All integers have only one cube root.

Because it is an inverse of an odd degree (3) exponent.

x³ = 8∛x³ = ∛8x = 2

And

x³ = -8∛x³ = ∛-8x = -2

Sorry for my small handwriting..​

Answers

Answer:

9.067cm

Step-by-step explanation:

x--- amount by which the length is reduced

area=(18-x)(15)=134

(18-x)=134/15

x=18-(134/15)

x= 9.067cm

Find the area of the triangle with the vertices A (3, -5), B (-2, -7) and C (18, 1) such that A, B and C are collinear.

Answers

9514 1404 393

Answer:

  0

Step-by-step explanation:

Many authors do not recognize three points on a line as forming a triangle. This is because its area is zero. (The "base" is the length of the line segment; the "height" is the width of the line (zero).)

What does this mean ?

Answers

Step-by-step explanation:

Area= 13.86 cm²

πr²= 13.86 cm²

r= √13.81 ×7/22

r= 2.1 cm

Circumference= 2πr

= 2 × 22 × 2.1 / 7

=13.2 cm

Answer:

circumference is the outside area of a circle

area of the circle is the inside area

Jessica Rabbit is the manager of shipping and receiving and has been working at the Leanup Company for thirty years. She rarely calls in sick and gets good performance reviews every year. In the past year, her wife’s company has been in serious financial trouble; they likely will not be able to make the payroll for next month and may have to close down. Which leg of the Fraud Triangle best applies to Jessica's situation?

Question 2 options:

Motive


Opportunity


Rationalization


Financial pressure

Answers

The fraud triangle is used to model the causes of frauds in an organization or company.

The scenario in her wife's company shows that the fraud leg that applies to Jessica is pressure.

From the question, we understand that:

They may not be able to make payroll for next monthThey may likely close down

Financial trouble as used in the question implies that her wife's company are in debts or mismanagement.

This means that Jessica is under pressure to commit fraud in her own company in other to assist her wife's company.

Hence, the leg of the Fraud Triangle best applies to Jessica's situation is pressure

Read more about fraud triangle at:

https://brainly.com/question/15108051

NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! NOT A MULTIPLE CHOICE!!!

In a hotel building, the lobby is located at sea-level. The first floor is located 18 feet above the lobby, and the basement is located 22 feet below the lobby.

a. Write an inequality to compare the elevations of the first floor and the basement.

b. What is the distance from the lobby to the basement? Write your answer as an absolute value statement.

c. Which is a greater distance from the lobby: the first or basement? Justify your response.

Answers

9514 1404 393

Answer:

-22 < 0|-22-0| = 22distance to basement is greater

Step-by-step explanation:

a) If we let B, L, F represent the elevations of the basement, lobby, and first floor, respectively, then we have ...

  B = -22

  L = 0

  F = 18

Your inequality could be either of ...

  B < L

  -22 < 0

__

b. We're not sure exactly the form you're looking for. Use whichever absolute value statement is appropriate to your needs.

  distance = |B -L| = |-22 -0| = |-22| = 22

__

c. The distance from the lobby to the first floor is |18 -0| = 18.

The distance from the lobby to the basement is |-22-0| = 22.

The distance 22 is greater than the distance 18, so the distance to the basement is greater.

_____

Additional comment

The difficulty with this question is not figuring out whether -22 is farther from 0 than is +18. The difficulty is in figuring out the form of the answer that is expected. Without looking at your curriculum materials, we cannot even make an appropriate guess.


Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4

Answers

9514 1404 393

Answer:

  (6.8, 0.7)

Step-by-step explanation:

That point is ...

  A + (7/10)(B -A)

  = (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)

  = (-3, -7) +(9.8, 7.7) = (6.8, 0.7)

The point 7/10 from A to B is (6.8, 0.7).

Find the slope of the line through each pair of points. (Will give brainliest!)

Answers

Answer:

17 Ans is -3/7

Step-by-step explanation:

Let ( x1,y1)=(-3,8)

(X2,y2)=(-17,14)

By the formula,

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

=14-8/-17+3

=6/-14

=-3/7

Do others with same steps and process

Answer:

18. m = 11/-27
19. m = 23/8
20. m = 10/-19
21. m = -5/2
22. m = -3
23. m = -5
24. m = 1/3
25. m = 7/2
26. m = 1
27. m = 3
28. m = -7/3

please help me
integrate In x
[tex] \frac{ lnx ^{2} }{x}[/tex]

Answers

Answer:

On the pic

Step-by-step explanation:

Sorry if my handwriting is bad

Change the denominators into powers of 10 and write the decimal form.
a)
.
[tex] \frac{4}{5} [/tex]


b)
.
[tex] \frac{1}{20} [/tex]

c)
.
[tex] \frac{3}{160} [/tex]


Answers

9514 1404 393

Answer:

  a) 0.8

  b) 0.05

  c) 0.01875

Step-by-step explanation:

The denominator will need to have equal powers of 2 and 5 to be a power of 10.

a) 4/5 = (4/5)(2/2) = 8/10 = 0.8

__

b) 1/20 = 1/(2²·5) = (1/20)(5/5) = 5/100 = 0.05

__

c) 3/160 = 3/(2⁵·5) = (3/160)(625/625) = 1875/10000 = 0.01875

4,582 x 10
Written in place value form

Answers

Answer:

45820

Step-by-step explanation:

the "10" means adding 1 zero to "4582" in place value

Hundred Thousand= 4

Thousand= 5

Hundred= 8

Tens= 2      

Units= 0

 

Find the total surface area of the pyramid with base length and height be 10 cm and 12 cm respectively.​

Answers

Answer:

Hence, total surface area of the pyramid is 360 cm².

Step-by-step explanation:

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L²=H²+(s/2)²=122+(10/2)²=122+5²

=144+25=169⇒

L=(169)^1/2=13

The perimeter of the base is P=4s, since it is a square, therefore, 

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=1/2Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=1/2Pl=1/2×40×13=260 cm²

Now, the area of the base B=s² with s=10 cm is:

B=s²=10²=100 cm²

The general formula for the total surface area of a regular pyramid is TSA=1/2Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=1/2Pl=260 cm² and area of the base is B=100 cm², therefore, the total surface area is:

TSA=1/2Pl+B=260+100=360 cm²

Hence, total surface area of the pyramid is 360 cm².

Every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie.
Knut always takes his shower last. How many different ways are there for him to order the different steps of his morning routine?

Answers

Answer:

Step-by-step explanation:

The number of different ways there for him to order the different steps of his morning routine will be 5040.

What is a combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

It is given that every morning before going to class, Knut takes a shower, checks his email, does 100 pushups, and makes a milk, egg, and tuna smoothie. Knut always takes his shower last.

The arrangement will be calculated as below:-

The number of the activities is 7.

The number of ways = 7!

The number of ways = ( 7x 6 x 5 x 4 x 3 x  2 )

The number of ways = ( 5040 ).

Therefore, the number of different ways there for him to order the different steps of his morning routine will be 5040.

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You roll a six sided die 2 times what is the probability of rolling a 5 then a 2 pls help

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Yeah, don't know how to explain :/

Mary takes 8 days to do a full check of the
library's online catalog. Her assistant takes
12 days. If they work together, determine the
fraction of the catalog that is checked after
4 days.

Answers

Answer:

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|c}day&1&2&3&4\\----&-----&-----&-----&-----\\Mary&\frac{1}{8} &\frac{2}{8} &\frac{3}{8} &\frac{4}{8} \\Assis&\frac{1}{12} &\frac{2}{12} &\frac{3}{12} &\frac{4}{12} \\Sum&\frac{1}{8}+\frac{1}{12}&\frac{2}{8}+\frac{2}{12}&\frac{3}{8}+\frac{3}{12}&\frac{4}{8}+\frac{4}{12}\\part&\frac{5}{24}&\frac{10}{24}&\frac{15}{24}&\frac{20}{24}=\boxed{\frac{5}{6}}\\----&-----&-----&-----&-----\\\end{array}[/tex]

The fraction of the catalog that is checked after 4 days is 5/6

If Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

What is fraction?

Fraction is a combination of numerator and denominator. The number above division sign is known as numerator and the number below the division sign is known as denominator. It is in p/q form in which q cannot be equal to 0.

How to find fraction?

let the catalog contains 100 things.So in this way ,

In 1 day Mary does 100/8 things completed and her assistant does 100/12 things completed in 1 day.

So in four days they will complete =100*4/8+100*4/12

=400/8+400/12

=(4800+3200)/96

=8000/96

=1000/12

Hence if Mary takes 8 days to do a full check and her assistant takes 12 days then if they work together then the fraction of the catalog that is checked after 4 days is 1000/12.

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Im so bad at math but i swear im trying my best :( i really tried learning and understanding this but i just can’t , pls pls help me , thank you

Answers

Answer:

angle j=104 degrees

angle m=  127 degrees

Step-by-step explanation:

angle n=53 degrees

angle h=104 degrees

angle m=180-53(angles on a staright line)

angle m=  127 degrees

angle j=104 degrees (vertically opposite angles)

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