How to find the area and circumference

Step-by-step explanation:

well, for that I want the equation as simple a possible. especially do I want to have a pure "x²" term with "1" as the factor.

so, as I see that all terms in the equation are multiples of 3, my first step will be to divide both sides by 3.

leading to

x² + 6x = 7

Answer:

Answer:

The first step to solve the equation by completing the square 3x²+ 18x= 21 is multiply both sides of the equation by .

The factors of the equations  3x²+ 18x= 21 are 1 ,-7 .

Step-by-step explanation:

As given the equations

3x² + 18x = 21

Multiply both sides of the equation by .

Thus the equation becomes

Simplify the above

x² + 6x = 7

Adding 9 on both sides of the above equation

x² + 6x + 9 = 7 + 9

x² + 6x + 9 = 16

(As (a +b)² = a² + b² + 2ab

Thus (x+3)² = x² + 6x + 9 )

Put in the above

(x+3)² = 16

Taking square root on both side

√16 = ± 4

First take

(x + 3) = 4

x = 4 -3

x = 1

Second take

(x+ 3) = -4

x = - 4 -3

x = -7

Therefore the first step to solve the equation by completing the square 3x²+ 18x= 21 is multiply both sides of the equation by .

The factors of the equations  3x²+ 18x= 21 are 1 ,-7 .

Answer:

Her cousin will drive 142 miles

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a) There are 9 outcomes.

b) **i have attached the tree diagram**

c) 1/9

d) 1/9

Step-by-step explanation:

Both events (choosing a shirt and choosing pants) are not mutually exclusive (disjoint). Meaning that both events can occur at the same time.

a) For a sequence of two events in which the first event can occur m ways and the second event can occur n ways, the events together can occur a total of m • n ways. So for this problem, you would do 3 • 3 which equals 9.

b) **tree diagram is attached**

c) Because there are two different events occurring (choosing a shirt and choosing pants) you need to multiply using the Multiplication Rule for Independent Events : P(A and B) = P(A) * P(B)

The probability of event A occurring (choosing a red shirt) is 1/3 and the probability of event B occurring (choosing brown pants) is also 1/3.

1/3 * 1/3 = 1/9

d) You would do the same thing here as part c.

The probability of event A occurring (choosing a blue shirt) is 1/3 and the probability of event B occurring (choosing blue pants) is again 1/3.

1/3 * 1/3 = 1/9

I hope this was helpful!! :)

Answer:

B 80-(2x23+15)

Step-by-step explanation:

first i did 80-46-15=19

so after shopping page had $19 dollars after shopping

[tex] \mathcal \pink{GIVEN:}[/tex]

[tex] \mathcal \purple{TO \: FIND:}[/tex]

[tex] \mathcal \blue{CALCULATION:}[/tex]

[tex] \qquad{ \sf \: volume = \pi{r}^{2}h }[/tex]

Where,

[tex] \qquad{ \tt\nrightarrow \: \frac{22}{7} \times {3}^{2} \times 7}[/tex]

[tex] \qquad{ \tt\nrightarrow \: \frac{22}{ \cancel7} \times {3}^{2} \times \cancel7}[/tex]

[tex] \qquad{ \tt\nrightarrow \: 22 \times {3}^{2} }[/tex]

[tex] \qquad{ \tt\nrightarrow \: 22 \times 9 }[/tex]

[tex] \qquad{ \boxed{ \tt\Rrightarrow \: 198\: {m}^{3} }}[/tex]

➪ Henceforth, The volume of the cylinder is 198 m³...

Answer:

here is the answer

Step-by-step explanation:

Central Angle: An angle whose vertex is the center of a circle. The measure of a central angle is equal to the measure of its intercepted arc. ... Inscribed Angle: An angle whose vertex is a point on a circle and whose sides contain chords.

Answer:

3 hours

Step-by-step explanation:

12.5/2.5 = 5
then convert it to negative

Answer:

The area of the pentagon is 249 square inches.

Step-by-step explanation:

Given, s = 12in; and a = 8.3, The formula to find the area of a pentagon with apothem is, Area of pentagon = 1/2 × perimeter × apothem. So, let us find the perimeter of the pentagon. Perimeter of the pentagon = 5 × side length.

perimeter = 5 x 12

= 60in.

Area = 1/2 × 60×8.3

= 249in².

Answer:

A and D

Step-by-step explanation:

keeping in mind that a year has 12 months, thus 9 months are really 9/12 of a year, so

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 1640\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1640)(0.045)(\frac{3}{4})\implies I=55.35[/tex]

Answer:

8/50 × 100 = 16%

Answer:

Step-by-step explanation:

Answer:

-1/2.

Step-by-step explanation:

slope of a line is (y2-y1)/(x2-x1).  Plug in points (5-8)/(11-5).  That gives -3/6.  Reduce the fraction by 2, so -1/2 is the answer.

Answer:

78 Degrees

Step-by-step explanation:

Complimentary Angles add up to 90 degrees so the equation below solves for x and then finds angle A.

3x+42+x=90

4x=48

x=12

3(12)+42=78

Answer:

19,000

Step-by-step explanation:

you don't round up because the next number is lower than 5

Answer:

r = 0, r = 12

Step-by-step explanation:

9[tex]r^{2}[/tex]=108r

Subtract 108r from both sides

9[tex]r^{2}[/tex] - 108r = 108r - 108r (simplify) -> 9[tex]r^{2}[/tex] - 108r = 0

Factor 9[tex]r^{2}[/tex] - 108r: 9[tex]r^{2}[/tex] (r - 12)

9[tex]r^{2}[/tex] (r - 12) = 0

r = 0, r = 12

Answer:

x=2

Step-by-step explanation:

interpreting the problem...

2x+5×3›6-x

2x+12›6-x

2x+x›6-12

3x›6

x›2

you can confirm if this is really the correct solution to the problem

Answer:

the difference is (1,2) is in quadrant first and (-3,5) is in quadrant second

Answer: Answer below

Step-by-step explanation:

We start off by subtracting 120 from 150, since we want to find the amount it decreased and not what percentage is left.

150 - 120 = 30

We now divide it by 150 to get our percentage.

30/150 = 1/5

1/5 = 0.2 or 20%

Our answer is 20%.

Answer:

Step-by-step explanation:

Answer:

she can subtract m < 1 from both sides of m < 1 + m < 2 = 180* and m < 1 + m < 3 = 180*

Step-by-step explanation:

IMAGINE MATH!1

Given that the ratio between Yaw and Kwame is 3:5

So, [tex]\rm{\blue{Yaw:Kwame} = 3:5 = 84:n}[/tex]

[tex]\rm{\red{n = 84 \times 5 \div 3} = 140 \: mangoes }[/tex]

Hence, the answer is [tex]\rm{\blue{140} \: mangoes}[/tex]

Answer:

I believe its C if im wrong delete my question so other people have a chance

Step-by-step explanation:

Based on the information given the percentage increase is 5%.

Using this formula

Percentage increase=Population several years later-Population for year/Population for one year×100%

Let plug in the formula

Percentage increase=236,360-225,000/225,000×100

Percentage increase=5%

Inconclusion  the percentage increase is 5%.

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Answer:

8433

Step-by-step explanation:

let x = money spent

1567 + x = 10 000

x = 10 000 - 1567

x = 8433

4(5x3) + 2(4x3) = 60 + 24 = 84 square units

We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.

We have to find the expression for another side of the rectangle i.e it's width

We will use the formula of area of rectangle to find the expression :

Therefore,

‎ㅤ‎ㅤ➝ A = l × w

‎ㅤ‎ㅤ➝ x² - 15x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w

‎ㅤ‎ㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w

‎ㅤ‎ㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w

‎ㅤ‎ㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )

‎ㅤ‎ㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )

‎ㅤ‎ㅤ➝ w = ( x - 8 )

Answer:

4.5 gallons

Step-by-step explanation:

180/40=4.5

The average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] is approximately 3.1496.

The average is defined by the following double integral equation:

[tex]\bar h = \frac{\int\limits^1_0 {\int\limits^{f(x)}_{g(x)} {x^{3}\cdot y^{2}} \, dy } \, dx }{(1-0)\cdot [y(1)-y(0)]}[/tex] (1)

If we know that [tex]g(x) = -x^{2}-2[/tex] and [tex]f(x) = 2\cdot x - 1[/tex], then the double average is:

[tex]h = \frac{\frac{1}{3} \int\limits^{1}_{0} {x^{3}\cdot [f(x)-g(x)]^{3}} \, dx }{(1-0)\cdot [f(1)-f(0)-g(1)+g(0)]}[/tex]

[tex]h = \frac{\frac{1}{3}\int\limits^{1}_{0} {x^{3}\cdot [2\cdot x-1+x^{2}+2]^{3}} \, dx }{1-1+3-2}[/tex]

[tex]h = \frac{1}{3}\int\limits^{1}_{0} {(2\cdot x^{2}-x+x^{3}+2\cdot x)^{3}} \, dx }[/tex]

The average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] is approximately 3.1496. [tex]\blacksquare[/tex]

The statement presents mistakes and is poorly formatted:

Find the average value of the function [tex]h(x,y) = x^{3}\cdot y^{2}[/tex] on the region bounded by [tex]f(x) = 2\cdot x - 1[/tex], [tex]g(x) = -x^{2}-2[/tex], [tex]x = 0[/tex] and [tex]x = 1[/tex].

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