The tent in the picture below is half a cylinder with diameter 8 feet.
The Lateral Surface Area of the tent rounded to the nearest square
foot is S= square ft. Enter only a number as your answer.

Answer:

The solution is the triplet: (a, b, c) = (-3, 0, 0)

Step-by-step explanation:

Let's start with the second equation, and solving for "a":

a - b = -3

a = b - 3

Now replace this expression for a in the third equation:

2 a + b = -6

2 (b - 3) +b = -6

2 b - 6 +b = -6

3 b = -6 +6

3 b = 0

b = 0

So if b = 0 then a = 0 - 3 = -3

now we can replace a= -3, and b = 0  in the first equation and solve for c:

2 a - b + c = -6

2 ( -3) - 0 + c = -6

-6+ c = -6

c = -6 + 6

c = 0

Our solution is a = -3, b= 0 , and c = 0 which can be expressed as (-3, 0, 0)

Answer:

x^2 - 2x

Step-by-step explanation:

Distribute the x to every term in the parenthesis.

Answer:

x^2 -2x

Step-by-step explanation:

x(x - 2)

Distribute

x*x - 2*x

x^2 -2x

Answer:

3a+6+5/(a+2)

Step-by-step explanation:

To do this you replace x with a+2, meaning that 3x+5/x turns into 3(a+2)+5/a+2. Simplified this is 3a+6+5/(a+2)

Answer:

y = G(x) = 6, when x = -4

y = G(x) = -2, when x = 3

Step-by-step explanation:

From the attached graph tracing the first point to the graph and then to x axis.

y = G(x) = 6

as shown on the attachment(by the thick line)

y = G(x) = 6, when x = -4

From the attached graph tracing the second point to the graph and then to x axis.

y = G(x) = -2

as shown on the attachment(by the thin line)

y = G(x) = -2, when x = 3

Answer:

Which best describes the missing reasons?

♣:reflexive property

♦: SAS

Step-by-step explanation:

I just did it.

The missing reasons is ♣: reflexive property

We have given that,

JP = KP; PX = PY

ΔPYJ ≅ ΔPXK Triangles P Y J and P X K overlap and intersect at point Z. Point X of triangle P X K is on side J P of triangle P Y J. Point Y of triangle P Y J is on side K P of triangle P X K.

We have to determine which best describes the missing reasons.

The reflexive property of equality states that a number is always equal to itself. Reflexive property of equality. If a is a number, then. a = a. a=a.

♣: reflexive property

♦: SAS

To learn more about the reflexive property visit:

https://brainly.com/question/2019080

#SPJ2

Answer:

Θ=15

Step-by-step explanation:

AD=DC so triangle BCD is isosceles, so angle DBC = angle BCD = Θ

So angle BDC=180-Θ-Θ=180-2Θ

angle BDE = 180- angle BDC = 180-180+2Θ=2Θ

in triangle BDE all angles must add up to 180

angle BED= 180- angle BEA=180-90=90

so

90+4Θ+2Θ=180

90=6Θ

Θ=15

Answer:

[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]

Step-by-step explanation:

Given that:

r < 5

To simplify:

|3r−15|

Solution:

First of all, let us learn about Modulus function:

[tex]f(x) =|x| =\left \{ {x, \ if\ {x>0} \atop -x\ if\ {x<0}} \right.[/tex]

In other words, we can say:

Modulus function has a role to make its contents positive.

If the contents are positive, the result will be equal to its contents only.

If the contents are negative, it will add a negative sign to the contents to make it positive.

Now, let us consider the given condition:

[tex]r < 5[/tex]

Multiply both sides with 3. (As 3 is a positive number, the equality sign will not change.)

[tex]3r < 15[/tex]

Subtracting 15 from both sides:

[tex]3r-15<15-15\\\Rightarrow 3r-15<0[/tex]

Now, we know that [tex]3r-15<0[/tex], let us use the definition of Modulus function.

Add a negative sign to the contents because the contents are already negative.

[tex]\\\Rightarrow |3r-15| = -(3r-15)\\\Rightarrow -3r+15[/tex]

So, the answer is:

[tex]|3r-15| = -3r+15[/tex] if [tex]r<5[/tex]

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Here, we want to match what we have on the left with the expressions on the right.

(-4^9)^2

= -4^18

(4^6)^-3

= 4^-18 = 1/4^18 according to laws of indices

(4^0)^-9 = 4^0

(4^-3)^-3

= 4^9

Answer:

(-4^9)^2 = -4^18

(4^6)^-3 = 1/4^18

(4^0)^-9 = 4^0

(4^-3)^-3 = 4^9

Step-by-step explanation:

Answer:

y = 5x-38

Step-by-step explanation:

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

                          = (-8 - -3)/(6-7)

                          = ( -8+3)/(-1)

                           =-5/-1

                            =5

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

y = 5x+b

Substitute a point into the equation

-8 = 5(6) +b

-8 = 30+b

-8-30 = 30-30+b

-38 = b

y = 5x-38

Slope formula: y2-y1/x2-x1

-8-(-3)/6-7

-5/-1

5

Find the y-intercept with the formula for slope intercept form.

y = mx + b

-3 = 5(7) + b

-3 = 35 + b

-3 - 35 = 35 - 35 + b

-38 = b

Fill in what we have:

y = 5x - 38

Best of Luck!

Answer: 2n+2

Step-by-step explanation:

1. Remove the parentheses

-n-3+3n+5

2. Collect like terms

2n-3+5

3. Calculate the sum

2n+2

Answer:

A, C, E

Step-by-step explanation:

A function cannot have an x-value that produces more than y-value.  Examples would be {(2, 2), (2,3)} and {(1,0), (1,5)}.

A - This could be a function because it follows the above rule.

B - This can not be a function because it has an x-value that has two y-values.

C - This could be a function because it follows the rule.

D - This can not be a function because it has an x-value that has two y-values.

E - This could be a function because it follows the rule.

Answer:

111111 [tex]\times[/tex] 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex]

First of all, let us solve the first term:

[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111[/tex]

Now, the right term:

[tex]\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111[/tex]

So, the expression to be solved becomes:

[tex]1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110[/tex]

Answer:

(0, 4)

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. Since you are given the graph, you can see that when x = 0, the graph crosses y = 4, so our y-int is (0, 4).

Answer:

5.726

Step-by-step explanation:

First, find the thousandths place value. Note the place values:

5 (one's place value)

.

7 (tenth's place value)

2 (hundredth's place value)

5 (thousandth's place value)

5 (ten thousandth's place value)

Find the thousandths place value. Look at the number located directly next to it (ten thousandth's place value).

Note that:

Since the number is 5, round up.

5.7255 rounded to the nearest thousandths place value is 5.726

~

Answer:

Square root of 12 is a interfering because it isn’t a perfect square.

Answer:

It is an integer.

Step-by-step explanation:

Integers are all types of numbers may it be negative or positive but rational numbers are positive and negative fractions or decimals. So √12 is an integer.

Hope this helps.

Step-by-step explanation:

Start with the average. (of your data set)

Find how much each data value deviates from the average (difference of average and data value).

Take the absolute value of each difference.  

Add all of these absolute values.

Divide by the total number of data values.

How to find the MAD (Mean Absolute Deviation):

Let's use these numbers to figure out the MAD:

[tex]5, 2, 1, 3[/tex]

1. First thing you want to do is add the numbers together:

[tex]5+2+1+3=11[/tex]

2. Second thing you want to do is divide it by 4 because there are 4 numbers in the data set:

[tex]\frac{11}{4} =2.75[/tex]

3. Third thing you want to do is subtract the data set from 2.75:

[tex]5-2.75=2.25\\2.75-2=0.75\\2.75-1=1.75\\3-2.75=0.25[/tex]

4. Fourth thing you want to do is add all the differences:

[tex]2.25+0.75+1.75+0.25=5[/tex]

5. Last thing you want to do is now divide the sum (5) by 4 again:

[tex]\frac{5}{4}= 1.25[/tex]

So, the answer (MAD) would be 1.25

That's how you find the MAD to any data set in steps.

Hope this helped!

I know I'm 2 years late btw, you've probably already mastered this subject, sorry!

           - June 7, 2022 (6/7/22)

Answer:

HL, the two triangles both share a side and have right angles.

Step-by-step explanation:

Congruent Triangles - Hypotenuse and leg of a right triangle. (HL) Definition: Two right triangles are congruent if the hypotenuse and one corresponding leg are equal in both triangles. If, in two right triangles the hypotenuse and one leg are equal, then the triangles are congruent.

Answer:

I(3,8)

Step-by-step explanation:

to answer this question we must use this relation :

Answer:

50

Step-by-step explanation:

For this question you would follow the BIDMAS rule - (Brackets, Indices, Division, Multiplication, Addition, Subtraction.)

The first thing in this question you need to solve it (9 + 8)

we do this because, when we follow BIDMAS, the first rule is brackets

so, 9 + 8 = 17

The second step is to multiply, as this rule is second,

so, 17 x 2 = 34

Our final step is to solve the last bit, which is 6 x 14

and we know that 6 x 14 = 84

So now that we have 84 and 34, we need to subtract the two numbers as shown,

84 - 34 = 50

And this is how you get the answer 50

i hope this has helped you, please comment if you did not understand it and i will explain it in another way : )

Use pemdas

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Do parenthesis first: (9+8)=17

6x14-17x2

Then do multiplication

6x14=84 17x2=34

Now do subtraction

84-34=50

Therefore your answer is 50

Answer: not sure

Step-by-step explanation:

Answer:

Hey there!

3x-5=10x+9

-5=7x+9

-14=7x

x=-2

4(x+7)

4(-2+7)

4(5)

20

Hope this helps :)

Answer:

"descends"

Step-by-step explanation:

(just had the same question).

Answer:

see below

Step-by-step explanation:

Alright, geometric probability.

We need to find

To find those, we need to find the areas of:

Let's start off with the easiest figure. The circle.

The circle has a radius of 10. Therefore, its area is is π[tex]r^2[/tex]. 100π is roughly 314.159265.

The circle has an area of around 314.159265.

Half of the diagonal of the square is 10m. That means that the full diagonal of the square is 20 m.

Formula for side of square using diagonal:

a = q / √2

20/√2 = 14.142135623731

The area of a square is a^2

14.142135623731^2= 200

The area of the square is 200 m^2. (28)

Using this, and the area of the circle, we can find the area of the part of the circle that does not include the square.

314.159265 - 200= 114.159265

The area of the part of the circle that does not include the square is 114.159265.

Now, the most important calculation (because it lets us find the total area of the rectangle); the equiangular triangle.

The height of this triangle is 30m. Therefore, the area is 519.6152422706632.

The area of the equiangular triangle is 519.6152422706632.

The side length of the equiangular triangle is 34.64101615137755.

The area of the rectangle= l times w.

l = 34.64101615137755

w= 30

30 times 34.64101615137755= 1039.23048454133

The total area is 1039.23048454133.

Now that we have the denominator of our fraction (total area), lets go back to our questions.

We need to find

The area of the equilateral triangle = 519.6152422706632

519.6152422706632/1039.23048454133 = .5

The geometric probability that a point chosen randomly inside the rectangle is inside the equilateral triangle is .5

The area of the square = 200

200/1039.23048454133 = 0.19245008973

The geometric probability that a point chosen randomly inside the rectangle is inside the square is 0.19245008973

The area of the part of the circle that doesn't include the square: 114.159265

114.159265/1039.23048454133= 0.10984980396

The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle that doesn't include the square is 0.10984980396

The part of the rectangle that doesn't include the square, circle or triangle.

Area of triangle = 519.6152422706632

(The triangle contains the circle and square).

1039.23048454133- 519.6152422706632 = 519.61524227067

519.61524227067 /1039.23048454133 = 0.5

The geometric probability that a point chosen randomly inside the rectangle is inside the part of the circle doesn't include the square, circle, or triangle is 0.5

Hope this helped! Let me know if I made an errors, or if my answers are incorrect.

Answer:

x = 20

Step-by-step explanation:

If AE is a bisector then it divides the angle in half

BAE = EAC

x+30 = 3x-10

Subtract x from each side

30 = 2x-10

Add 10 to each side

40 = 2x

Divide by 2

40/2 =2x/2

20 =x

Step-by-step explanation:

5(2h+8) <60

10h +40< 60

10h + 40-40 < 60-40

10h < 20

10h/10 < 20/10

h < 2

Answer:

a) Probability of getting exactly 7 hits = 0.001075

b)  Probability of getting fewer than seven = 0.999

c) Probability of getting at least seven hits = 0.001

Step-by-step explanation:

The process is a Poisson process.

Rate, [tex]\lambda = 0.4[/tex]

The probability is to be calculated between 8:27 PM and 8:31 PM

t = 4

[tex]\lambda t = 0.4 * 4 = 1.6[/tex]

If the number of hits is represented by X

[tex]P(X = x) = \frac{e^{- \lambda t} (\lambda t)^x}{x!}[/tex]

a) Probability of getting exactly 7 hits

[tex]P(X = x) = \frac{e^{- 1.6} (1.6)^7}{7!}\\P(X= 7) = 0.001075[/tex]

b) Probability of getting fewer than seven

[tex]P(X < 7) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6)\\P(X < 7) = e^{- 1.6} [ \frac{1.6^0}{0!} + \frac{1.6^1}{1!} + \frac{1.6^2}{2!} + \frac{1.6^3}{3!} + \frac{1.6^4}{4!} + \frac{1.6^5}{5!} + \frac{1.6^6}{6!} ][/tex]

P(X < 7) = 0.999

c) Probability of getting at least seven hits

[tex]P(X \geq 7) = 1 - P(x < 7)\\P(X \geq 7) = 1 - 0.999\\P(X \geq 7) = 0.001[/tex]

Using the Poisson distribution, it is found that:

a) 0.0011 = 0.11% probability of exactly 7 hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.11% of them will have exactly 7 hits.

b) 0.9985 = 99.85% probability of fewer than seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 99.95% of them will have fewer than 7 hits.

c) 0.0015 = 0.15% probability of at least seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.15% of them will have at least 7 hits.

In a Poisson distribution, the probability is:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

In this problem, we have a mean of 0.4 hits per minute, interval of 4 minutes, thus:

[tex]\mu = 0.4(4) = 1.6[/tex]

The probabilities we are going to use are:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-1.6}1.6^{0}}{(0)!} = 0.2019[/tex]

[tex]P(X = 1) = \frac{e^{-1.6}1.6^{1}}{(1)!} = 0.3230[/tex]

[tex]P(X = 2) = \frac{e^{-1.6}1.6^{2}}{(2)!} = 0.2584[/tex]

[tex]P(X = 3) = \frac{e^{-1.6}1.6^{3}}{(3)!} = 0.1378[/tex]

[tex]P(X = 4) = \frac{e^{-1.6}1.6^{4}}{(4)!} = 0.0551[/tex]

[tex]P(X = 5) = \frac{e^{-1.6}1.6^{5}}{(5)!} = 0.0176[/tex]

[tex]P(X = 6) = \frac{e^{-1.6}1.6^{6}}{(6)!} = 0.0047[/tex]

[tex]P(X = 7) = \frac{e^{-1.6}1.6^{7}}{(7)!} = 0.0011[/tex]

Item a:

P(X = 7) = 0.0011, thus:

0.0011 = 0.11% probability of exactly 7 hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.11% of them will have exactly 7 hits.

Item b:

This probability is:

[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

Then, with the values we found:

[tex]P(X < 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.2019 + 0.3230 + 0.2584 + 0.1378 + 0.0551 + 0.0176 + 0.0047 = 0.9985[/tex]

0.9985 = 99.85% probability of fewer than seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 99.95% of them will have fewer than 7 hits.

Item c:

This probability is:

[tex]P(X \geq 7) = 1 - P(X < 7) = 1 - 0.9985 = 0.0015[/tex]

0.0015 = 0.15% probability of at least seven hits in a 4 minute interval, which means that over many 4 minute intervals between 7 and 10 PM, 0.15% of them will have at least 7 hits.

A similar problem is given at https://brainly.com/question/24098004

Answer:May be 12

Step-by-step explanation:

Answer: The surface area of the rectangular prism is 114 cm^2.

Step-by-step explanation:

1) Formula:  A = 2wl + 2lh + 2hw

( W=width, l= length, h=height)

2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)  

3) A= 2( 24) + 2(24) + 2(9)

4) A= 48+ 48+ 18= 114

Answer:

1.

a. 5p + 3

b. 26p + 6

2.

a r = (v ÷(pi)h)½

b. r = 3.74 to the nearest hundredth

Step-by-step explanation:

1.

Area of deck = 40p² + 24p

Width of deck = 8p

Area = length × width(breadth)

a. Area = length × width

40p² + 24p = length × 8p

Factorise out 8p from the left hand side

8p(5p + 3) = length × 8p

Divide both sides by 8p

5p + 3 = length

b Perimeter of deck = 2 (length + width)

"" = 2(5p+3 + 8p)

"" = 2 (13p + 3)

"" = 26p + 6

2.

Volume = 200 mm³

Height = 17mm

a. isolate the r in the equation v = (pi)r²h

v = (pi)r²h

Divide both sides by (pi)h

v ÷ (pi)h = r²

Take the square roots of both sides

(v ÷ (pi)h)½ = r

b. find r using your answer in a.

r = (v ÷ (pi)h)½

r = (200 ÷ ( 22/7 × 17))½

r = (200 ÷ 53.4286)

r = 3.7433

r = 3.74 to the nearest hundredth