solve for the width in the formula for the area of a triangle

Answer:

x+5

Step-by-step explanation:

Side is equal to sqrt area

= sqrt x^2 +10x + 25

= x+5

So one side of the square is x+5 metres

Answer:

(x+5) meters long

Step-by-step explanation:

x^2 + 10x+25

We recognize that this is a perfect square trinomial

a^2 + 2ab+b^2 = (a+b)^2

x^2+2*5*x+5^2 = (x+5)^2

Since this is a square

A = s^2 where s is the side length

(x+5) ^2 =s^2

Each side is (x+5)

Answer:

erm

Step-by-step explanation:

241.402

Answer:

£16.50

Step-by-step explanation:

[tex]x \times (1+\frac{10}{100} )=18.15[/tex]

[tex]x \times \frac{110}{100} =18.15[/tex]

[tex]\frac{110}{100} x=18.15[/tex]

[tex]1.1x=18.15[/tex]

[tex]\frac{1.1x}{1.1}=\frac{18.15}{1.1}[/tex]

[tex]x=16.5[/tex]

Answer: £16.50

Step-by-step explanation:

Let the original cost be x

x + 10/100x = 18.15

1.1x = 18.15

x = 16.50

Answer:

x=4, y=-7

Step-by-step explanation:

A) -8x - 3y = -11 .(-5) -----> A) 40x + 15y = 55

B) -7x - 5y = 7 . (3) ------> B) -21x -15y = 21

A) + B) ---->  19x = 76 --------> x = 4

-8 . 4 - 3y = -11

-32 - 3y = -11

32 + 3y = 11

3y = 11 - 32

3y = -21

y = -7

Answer:

are there answer choices because if there is i can help you

Answer:

4x is a monomial

Step-by-step explanation:

it has one type of term, in this case one with a variable

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = number of expected outcome/total outcome.

a)Total number of student is the total outcome = 40

Expected number of outcome is the number of students who bought 20 or more books = 6 (number of students who bought 20-24 books)

Probability of those students who bought 20 or more books =  6/40 = 0.15

Expressing as percentage = 0.15 * 100 = 15%

This means that 15% of the total students bought 20 or more books

b) Mean is calculated using the formula [tex]\overline x =\frac{\sum fx}{N}[/tex]

f is the frequency

x is the midpoint of the class interval

N is the total number of students.

Check the attachment for the frequency table.

[tex]\overline x = \frac{410}{40}\\ \overline x = 10.25[/tex]

Mean number of books bought is 10.25

sorry I don't want to give you the wrong answer

Answer:

42 units²

Step-by-step explanation:

It can be split in two parts:

rectangle with sides of 1 and 12 units and

a right triangle with base (6-1)= 5 units and the height of 12 units.

then the area:

Answer:

9 and 11

Step-by-step explanation:

Answer:

It's 8 the answer is 8

Step-by-step explanation:

∠8 and ∠16 are corresponding angles with ∠12  

the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal

According to the question,

Given the diagram we have to find the angles which are corresponding angles with ∠12.

Those angles which are on the same side of traversal called corresponding angles.

By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16. These angles lie on same side of traversal line.

Hence, ∠8 and ∠16 are corresponding angles with ∠12

Option 1 is correct.

To learn more about corresponding angles from here

https://brainly.in/question/504604

#SPJ2

Answer:

Brainliest!!!

Step-by-step explanation:

see picture

Answer:

[tex]6[/tex]

[tex] \frac{14}{2?} - 3 + \frac{6}{3 ?} \\ 7 - 3 + \frac{6}{?3 } = 6 \\ 4 + \frac{6}{?3} = 6 \\ 4 + 2 = 6[/tex]

Answer:

You can not select three options, but only these two:

the graph has a domain of all real numbers

the graph has a range of y≥1

Step-by-step explanation:

See attachments.

Answer:

Step-by-step explanation:

if vertical angles (formed when two lines cross each other) or congruent angles (equal degree measure total)

8x-10=3x+90

5x=100

x=20

if complementary (together equal 90 degrees)

8x-10+3x+90=90

11x+80=90

11x=10

x=(10/11)

which in decimal form is about 0.90

if supplementary (together equal 180 degrees)

8x-10+3x+90=180

11x+80=180

11x=100

x=(100/11)

which in decimal form is about 9.09

Answer:

74.9

Step-by-step explanation:

Round to the tenths place.

Answer:

74.9

Step-by-step explanation:

When the question asks for something to be rounded to 3 significant figure,

then round in such a way that there are only 3 non-zero digits in the number.

Hope this helps.

Good Luck

Answer:

9, 9, 18

Step-by-step explanation:

AB=3x=9

BC=AB=9

AC=2AB=18

B is mid point of AC

that means,

[tex]\frac{3x + 5x - 6 }{2} = b \\ \: \: \: \: \: \: \: \: \: \: \: \frac{8x - 6}{2}= b \\ \frac{2(4x - 3)}{2} = b \\ b = 4x - 3[/tex]

[tex]3x = 5x - 6 \\ 2x = - 6 \\ x = - 3[/tex]

[tex]ab = 3x = 3 \times - 3 = - 9 \\ ab = - 9[/tex]

[tex]bc = 5x - 6 = 5 \times - 3 (- 6) \\ \: \: \: \: \: = - 15 - 6 = - 21[/tex]

[tex]ac = 8x - 6 = 8 \times - 3( - 6) = - 24 - 6 = - 30[/tex]

[tex]hope \: it \: helped[/tex]

Answer:

90 days.

Step-by-step explanation:

dy/dt = - 0.0032y

dy = -0.0032y dt

dy/y = -0.0032 dt

Integrating:

ln y = -0.0032t + c     where c is some constant

y = e^(-0032t) + e^c

y = A e^(-0032t)   where A is a constant.

At time 0 we can let y = 1 so in that case A = 1

When there is 0.75 of y left:

0.75 = e^-0032t

ln 0,75 =  -0032 t

t = ln 0.75 / -0032

t = 90.

Answer:

B. 90 days

Step-by-step explanation:

Edge 2022

Answer:

a,b,e

Step-by-step explanation:

Answer:

B, C and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have n people and we want to do groups of 5, the total number of different combinations is:

[tex]c = \frac{n!}{(n - 5)!5!}[/tex]

find the smallest n such c > 365.

let's do it by brute force:

if n = 5, we have:

[tex]c = 5C_5 = 5[/tex]

if n = 6

[tex]c =6C_5 =6[/tex]

if n = 7

[tex]c = 7C_ 5= 21[/tex]

if n = 8

[tex]c = 8C_5 = 56[/tex]

if n = 9

[tex]C = 9!/(4!*5!) = 126[/tex]

so 9 is not enough, let's see N = 10

C = 10!/(5!*5!)  = 252

10 is not enough, let's see with 11.

C = 11!/(6!*5!) =  462

So you need at least 11 members in the club.

Then the minimum number of members such we have more than 365 combinations is 11 members

Client need al least 11 members in the club.

According to the question,

Group of five members, the combination will be:

→ [tex]c = \frac{n!}{(n-5)! \ 5!}[/tex]

By using Brute force,

If n = 5,

c = 5,

C₅ = 5

If n = 6,

c = 6,

C₅ = 6

If n = 7,

c = 7,

C₅ = 21

If n = 8,

c = 8,

C₅ = 56

Now,

If n = 9,

→ C = [tex]\frac{9!}{(4!\times 5!)}[/tex]

      = 126

and, If n = 10,

→ C = [tex]\frac{10!}{(5!\times 5!)}[/tex]

      = 252

and, If n = 11,

→ C = [tex]\frac{11!}{(6!\times 5!)}[/tex]

      = 462

Then perhaps the minimal number of individuals required to have more than 365 possible combinations seems to be 11.

Thus the response above is correct.

Find out more information about combination here:

https://brainly.com/question/11732255

Answer:

[tex]\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Step-by-step explanation:

[tex]3x^2-6xy+y^2=2x-y\\\mathrm{Treat\:}y\mathrm{\:as\:}y\left(x\right)\\\mathrm{Differentiate\:both\:sides\:of\:the\:equation\:with\:respect\:to\:}x\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=\frac{d}{dx}\left(2x-y\right)\\\frac{d}{dx}\left(3x^2-6xy+y^2\right)=6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(2x-y\right)=2-\frac{d}{dx}\left(y\right)\\6x-6\left(y+x\frac{d}{dx}\left(y\right)\right)+2y\frac{d}{dx}\left(y\right)=2-\frac{d}{dx}\left(y\right)[/tex]

[tex]\mathrm{For\:convenience,\:write\:}\frac{d}{dx}\left(y\right)\mathrm{\:as\:}y^{'\:}\\6x-6\left(y+xy^{'\:}\right)+2yy^{'\:}=2-y^{'\:}\\\mathrm{Isolate}\:y^{'\:}:\quad y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\y^{'\:}=\frac{2-6x+6y}{-6x+2y+1}\\\mathrm{Write}\:y^{'\:}\:\mathrm{as}\:\frac{d}{dx}\left(y\right)\\\frac{d}{dx}\left(y\right)=\frac{2-6x+6y}{-6x+2y+1}[/tex]

Answer:

A.f(x) = 86(1.04)x; grows approximately at a rate of 0.4% daily

Step-by-step explanation:

i did this question already

hope this helps

Answer:

it's C

Step-by-step explanation:

Step-by-step explanation:

0 = 4 - 7 x^2 + x

0= (-7)x^2 + (1)x + 4

a= -7

b = 1

c= 4

Answer:

4

Step-by-step explanation:

Starting at the left end of the wall, you'll find that you can set four (4) tiles end to end along this wall.

Answer: width = 16 ft.

Step-by-step explanation:

let width be w

Length is w + 20

Given

w + 20 = 36

w = 36 - 20

w = 16

Answer:

16 ft

Step-by-step explanation:

l= w+20

36= w+20

w= 36-20

w=16 ft

Answer:

10x³ - 6x² - 9x + 12

Extra information:

★ Cubic polynomial: A polynomial of degree three is called cubic polynomial.

It is of the form P ( x ) = ax³ + bx² + cx + d [ Where a,b,c,d are real numbers and a is not equal to 0 . ]

Answer:

[tex]\frac{25\sqrt{3} }{8}[/tex]

Step-by-step explanation:

CosA = [tex]\frac{1}{2}[/tex] , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A = [tex]\frac{adjascent}{hypotenuse}[/tex] -----> [tex]\frac{1}{2} = \frac{a}{5}[/tex] ---------> a = [tex]\frac{5}{2}[/tex]

Pytagoras

[tex]5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}[/tex]

A = b . a . 1/2

A = [tex]\frac{25\sqrt{3} }{8}[/tex]

CosA =  , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A =  ----->  ---------> a =  

Pytagoras

A = b . a . 1/2

A =

Step-by-step explanation:

Answer:

$96.50

Step-by-step explanation:

Answer:

Equation is;

P = I(1 + r)^n

The population is 328

Step-by-step explanation:

Here we want to model the situation and use the modeled equation to predict population.

This follows an exponential pattern with similarity to the amount paid on a compound interest

Mathematically, we can have the equation as;

P = I(1 + r)^n

Where P is the population we want to calculate

I is the initial population in 1995 = 200 people

r is the rate of increase = 2% = 2/100 = 0.02

n is the difference in the number of years = 2020-1995 = 25

Thus the population would be;

P = 200(1 + 0.02)^25

P = 200(1.02)^25

P = 328.12

which is 328 approximately