What are the solutions to the equation?
x²-12x+36=4
Enter your answers in the boxes.
x1 =
x2=

Answer:

25 hour 40 minutes

Step-by-step explanation:

3 hrs X 7 is = 21 hours

then you mutliply 40 mins times 7 which is equal to 280mins

the you divide 280mins by 60 mins because 60 minutes is equal to an hour and you come out with 4 hours and 40 minutes which you add to 21 which is equal to 25 hours!

Hope This Helps!

Answer:

x = 14

Step-by-step explanation:

3(x + 1) = 45

3*x + 3*1 = 45    {Distributive property used: a*(b+c) =(a*b) +(a*c)}

3x + 3    = 45

   Subtract 3 from both sides

         3x = 45 - 3

         3x = 42    

Divide both sides by 3

          x  = 42/3

               [tex]\sf \boxed{\bf x = 14}[/tex]

To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.

The area of the field is equal to 8719.36m^2

Let us start by finding the area of the rectangle.

Data;

Area of a rectangle is given as

[tex]a = length * width \\a = 86 * 64\\a = 5504m^2\\[/tex]

The area of the rectangle is 5504m^2

Area of the semicircle

The formula of a semi circle is given as

[tex]A = \frac{1}{2} \pi r^2[/tex]

But since we have two semi circles here, we can simply multiply it by two and the formula becomes

[tex]A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2[/tex]

But in the question, we have the diameter of the semi circle as the length of the rectangle.

[tex]radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m[/tex]

The radius of the semicircle is 32m

Area of the semicircle is

[tex]A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2[/tex]

The area of the field is

[tex]area of field = 3215.36 + 5504\\area = 8719.36m^2[/tex]

The area of the field is equal to 8719.36m^2

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Answer:

D

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the expression PEMDAS

It helps to know what do to first

Parenthesis Exponent Multiply Divide Add Subtract

Answer:

Step-by-step explanation:

The formula for the area of a parallelogram is base times height

so

x = 7 (base)

y = 5

h = 3 (height)

7 * 3 =

21u²

Step-by-step explanation:

that was just answered with the last question, where you asked for the help here ...

x = 50°.

The center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

The points are given as:

(-5, 2) and (-3, 6)

The equation of  a circle is represented as:

[tex](x -a)^2 + (y - b)^2 = r^2[/tex]

Where:

Substitute both points in the above equation

[tex](-5 + a)^2 + (2 - b)^2 = r^2[/tex]

[tex](- 3+ a)^2 + (6 - b)^2 = r^2[/tex]

The radii are equal.

So, we have:

[tex](-5 + a)^2 + (2 - b)^2 = (- 3+ a)^2 + (6 - b)^2[/tex]

Expand the equations

[tex]25 -10a + a^2 + 4 - 4b + b^2 = 9 - 6a + a^2 + 36 - 12b + b^2[/tex]

Evaluate the like terms

[tex]25 -10a + 4 - 4b = 9 - 6a + 36 - 12b[/tex]

Collect like terms

6a -10a - 4b + 12b = 9  + 36  - 25 - 4

Evaluate

-4a + 8b = 16

Divide through by - 4

a - 2b = -4

Next, we test the options:

Option (a) (a,b) = (0,2)

Substitute these values in the equation

0 - 2*2 = -4

Evaluate

-4 = -4

Both sides of the equation are the same

Hence, the center of a circle that includes the points (-5, 2) and (-3, 6) could be (a) (0,2)

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Answer:

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.

Answers

A total of 360 residents left Planet X in the past 3 years.

Step-by-step explanation:

120 are the residents per year and the 3 represents the years so when you multiply them it would make how many residents that left Planet X in 3 years.A total of 360 residents left Planet X in the past 3 years.

Answer: 33 integers

Step-by-step explanation:

The numbers with a factor of 3 must be a multiple of 3. Therefore, since 99 is the greatest multiple of 3 that is less than 100, we can divide 99 by 3 to get 33 integers (for every 3 consecutive integers, there is one multiple of 3). We can also divide 100 by 3 to get 33 1/3, which rounds to 33 integers.

I hope this helps!

Answer: 9.3  

I calculated the area of the square, then I calculated the area of the circle.  Then I subtracted the two.

Answer:

5.3

Step-by-step explanation:

A square has equal sides

LXW=A

5x5= 25

diameter of the circle is 5 ft

D/2=R 5/2= 2.5

Area of a circle is [tex]\pi r^2[/tex]  (Pi=3.14)

[tex]3.14 X (2.5)^2[/tex]= 3.14 x 6.25=  19.625.

Area of yellow region

Area of square - Area of circle.

25-19.625 = 5.375 rounded to nearest 10th is 5.3

Answer:

14 meters

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

she needs 24 logs to keep the fire for 16 hours(4×6). And for next 2 hours she's gonna need 3. altogether it's 27.

Answer:

€7200

Step-by-step explanation:

20%---------1440

100%----------y

y= 100×1440/20

y= 144000/20

y= €7200

price before decrease= €7200

Answer:

Therefore, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.

Step-by-step explanation:

In statistics, the 68–95–99.7 rule, also recognized as the Empirical rule, is a shortcut used to recall that 68%, 95% and 99.7% of the values lie within one, two and three standard deviations of the mean, respectively.

Then,

P (µ - σ < X < µ + σ) = 0.68

P (µ - 2σ < X < µ + 2σ) = 0.95

P (µ - 3σ < X < µ + 3σ) = 0.997

he random variable X can be defined as the  amount of time a certain brand of light bulb lasts.

The random variable X is normally distributed with parameters µ = 1300 hours and σ = 90 hours.

Compute the interval of hours that represents the lifespan of the middle 68% of light bulbs as follows:

Thus, the interval of hours that represents the lifespan of the middle 68% of light bulbs is 1210 hours - 1390 hours.

Answer:

x^2 + 11x + k = 0

(-4) ^2 + 11 (-4) + k = 0

16 - 44 + k = 0

-28 + k = 0

K = 28

Hope Helpful ~

Answer:

I need an image

Step-by-step explanation:

Answer:CPCTC

Step-by-step explanation:

6. AB ≅ CD          Corresponding Parts of Congruent triangles are Congruent(CPCTC)

Hope it helps:)

Answer:

704 cm³

Step-by-step explanation:

Things to understand :

Solving :

Volume (prism) = Volume (rectangular prism) - Volume (cylinder)

Volume = LWH - πr²h

Volume = 5 x 13 x 13 - π x 3² x 5

Volume = 845 - π x  45

Volume = 845 - 141.3

Volume = 704 cm³

[tex] \boxed{\sf \: Answer : Volume \: of \: prism \: is \: 703.7 cm³}[/tex]

Step-by-step explanation:

Information about diagram- The diagram is a square prism with a circular hole in it.

Given:

length of prism (a) = 13cm

height of prism (h) = 5 cm

diameter of circle(d) = 6 cm

To find:

Volume of prism =?

Solution:

Formula that would be used,

[tex] \sf volume \: of \: square \: prism = {a}^{2} h[/tex]

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

Let's calculate the overall volume of prism,

Volume of prism(including volume of hole) V = a²h

[tex] V = a²h \\ V = {13}^{2} \times 5 \\ V = 845 \: {cm}^{3} [/tex]

To find out the volume circular hole we need to find the radius of hole, since the diameter of hole is given we can calculate the radius by multiplying 1/2.

[tex]r= \frac{d}{2} \\ r = \frac{6}{2} \\ r = 3 \: cm[/tex]

now calculate the volume of circular hole inside the prism,

Volume of circular hole(cylindrical shape) v= πr²h

[tex]v = \pi {r}^{2} h \\ v = 3.14× {3}^{2} ×5 \\ v = 141.3 \: {cm}^{3}[/tex]

The volume of given diagram of prism (V') = Volume of overall prism(V) - volume of circular hole(v)

[tex]V' = V- v \\ V' = 845 - 141.3 \: \\ V' = 703.7 \: {cm}^{3}[/tex]

Answer - Volume of prism is 703.7 cm³

[tex] \small \sf Thanks \: for \: joining \: brainly \: community![/tex]

Answer:

Volume of cylinder = pi r^2 h

1225 pi = pi×r^2×25

r^2= 1225/25=49

so, r= 7 cm

Answer:

I think you just have to multiply 0.75 and 1.8 then divided with 1.62.

Step-by-step explanation:

0.75*1.8=a

1.62/a= answer?

Answer:

the answer in 1.2 i just took the unit test on K12

Answer:

If you're asking for an equation to use for this problem you can use: 100+5x,

x is the number of weeks.

Step-by-step explanation:

You are starting with $100, and gain 5 dollars every week, so 100+5(#ofweeks)= total amount of money.

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}[/tex]

Given term:

[tex]\sqrt{\dfrac{144}{25} }[/tex]

This term can also be written as;

[tex]\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}[/tex]

Clearly, we can see that 144 and 25 are perfect squares. Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}[/tex]

According to an exponent property, (a²/b²) = (a/b)². Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }[/tex]

Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}[/tex]

Therefore, the simplified term is 2.4.

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Answer:

x= 11.87

Step-by-step explanation:

sec(32) = 14 /x

1.18=14/x

x1.18 =14

x= 11.87

The transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

The equations are given as:

f(x) = x^3

g(x) = (x - 2)^3 + 6

The function g(x) can be rewritten as:

g(x) = (x - h)^3 + k

This means that the function f(x) is shifted right by h units and shifted up by k units.

By comparison:

h = 2 and k = 6

Hence, the transformation to the parent function f(x) from g(x) is (b) g(x) is shifted 2 units to the right and 6 units up

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Answer: 3

Step-by-step explanation: