Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1

Answer:

should be 1305 yd^2

Step-by-step explanation:

to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together

Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

Answer:

28m²

Step-by-step explanation:

I don't really know how to explain so I'm just going to say its 28m²

The area of the part with cement will be 28 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the image has the backyard area in which some part is cemented and the remaining part is grass.

The area of the cemented part will be calculated as:-

Cemented area = Total area - Area of grass

Cemented area = ( 6 x 6 ) - ( 4 x 2 )

Cemented area = 36 - 8

Cemented area = 28 square meters

Therefore, the part with cement in the backyard will have an area of 28 square meters.

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Answer:

A. 198 gift certificates.

Step-by-step explanation:

The probability of winning on a single spin = 3/8.

Number of expected winners

= 528 * 3/8

= 66 * 3

= 198.

Answer:

the length of the third side is 21

Step-by-step explanation:

let P be the perimeter of the triangle

    a the length of the first and second sides

    b the length of the 3rd side

…………………………………………………

Then

P = a + a + b

  = 2a + b

Where b = a + 6

Therefore

P = 2a + (a + 6)

  = 3a + 6

We substitute the numbers we have into the equation:

51 = 3a + 6

⇔ 45 = 3a

⇔ a = 15

Since b = a + 6 then b = 15 + 6 = 21

Answer:

n= -80

Step-by-step explanation:

Hope this helps! ;-)

Answer:

[tex]\huge\boxed{\sf n = -20}[/tex]

Step-by-step explanation:

Given Equation:

[tex]n=5(2k^2+2k-6)[/tex]

Put k = -2

[tex]n=5[2(-2)^2+3(-2)-6]\\\\n =5[2(4)-6-6]\\\\n=5(8-12)\\\\n= 5(-4)\\\\\boxed{n = -20}\\\\\rule[225]{225}{2}[/tex]

Answer:= 0.124688 oz per fl

Step-by-step explanation:

This is a fraction equal to

3.99 oz ÷ 32 fl

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 32

3.99 oz ÷ 32

32 fl ÷ 32

=

0.124688 oz

1 fl

=

0.124688 oz

fl

= 0.124688 oz pe

Answer:

Rs. 180

Step-by-step explanation:

This is a proportion problem.

We are told that 2 dolls cost Rs. 120

Thus;

Cost of 1 doll = 120/2 = Rs. 60 per doll

Then;

Cost of 3 dolls = Rs. 60 * 3 = Rs. 180

Answer:

188 feet

i know that the answer

nasa makatulong po

The volume of a cylinder, in cubic feet, is,

V = 2,034.7 feet³

We have to given that,

In a cylinder,

Height = 8 feet

And, Diameter = 18 feet

Hence, Radius of cylinder is,

r = 18/2

r = 9 feet

We know that,

Volume of cylinder is,

V = πr²h

Substitute all the values, we get;

V = 3.14 × 9² × 8

V = 2,034.7 feet³

Therefore, The volume of a cylinder, in cubic feet, is,

V = 2,034.7 feet³

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By using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

In trigonometry, quotient identities refer to trig identities that are divided by each other.

So here we have

[tex]Cosec\theta = \dfrac{27}{5}[/tex]

Now we have to find the reciprocal identity,

[tex]Sin\theta=\dfrac{1}{Cosec\theta}[/tex]

[tex]Sin\theta}=\dfrac{1}{\dfrac{27} { 5} }[/tex]

[tex]Sin\theta=\dfrac{5}{27}[/tex]

hence by using the reciprocal identity the value   [tex]Sin \theta[/tex] will be  [tex]\dfrac{5}{27}{[/tex]

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The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx[/tex]

Then the integration can be written as

[tex]\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx[/tex]

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

[tex]\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}[/tex]

Then integrate

[tex]\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}[/tex]

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

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The next step of the valid proof is that AE = CE because of the perpendicular bisector theorem.

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from the endpoints of the line segment on which it is drawn.

In this case, Julia is using this figure to prove that triangle ABC is an isosceles triangle. After the steps given, the next step will be to indicate that AE = CE because of the perpendicular bisector theorem.

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Answer:

AC = BC  because of the perpendicular bisector theorem

Step-by-step explanation:

I got it right on the test

Answer:

f^-1(x)=[tex]\sqrt[3]{x-3}[/tex]

Answer:

78

Step-by-step explanation:

hint

1.a. Typical number chosen = the median value = 6

b. 27

2. a. 21

b. b. How the scores vary = Range of the scores = 5

c. Mode = 8

d. Median = 8

Range = Highest value - least value

Mode = most occurred data point

Median = center value of the data distribution (typical value of a dot plot).

1. a. Typical number chosen = the median value (center value) on the dot plot = 6

b. The number enrolled = number of student represented on the dot plot + 2 students absent = 25 + 2 = 27.

2. Data given: 5, 5, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10

a. There are 21 data points given, therefore, the number of students in the afternoon math class is: 21.

b. How the scores vary = Range of the scores = 10 - 5 = 5

c. Mode of the data = 8

d. Median score = 8

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The sign of a times -b/b when a = 0 and b < 0 is neutral neither negative nor positive .

An integer is a whole number (not a fractional number) that can be positive, negative, or zero

As b<0 which means b would be negative.

So, -b/b gives a negative value.

Because if any of the either numerator or denominator is negative then the resulting value also be negative.

and if zero '0' is multiplied and number whether it is positive or negative the resulting value will be zero.

So,  a* (-b/b)= 0* negative= negative zero, but zero is neither negative nor positive .

hence, the sign of a times -b/b is neutral neither negative nor positive .

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Work Shown:

tan(angle) = opposite/adjacent

tan(X) = ZY/XY

tan(X) = 32/24

tan(X) = (8*4)/(8*3)

tan(X) = 4/3

Answer: {x | x is a season}

Step-by-step explanation:

Spring, summer, autumn, and winter are all seasons.

Answer:

Below in bold.

Step-by-step explanation:

a) The rectangle in the middle of the net is 10 cm long.

A = 8

B = 3

C = 6

D = 10

b) Surface area

=  3*6 + 3*10 + 3*8 + 2 * 1/2 + 8 * 6

= 18 + 30 + 24 + 48

= 120 cm^2

[tex]sa = bh + ( b_{1} + b_{2} + b_{3})l[/tex]

[tex]sa = 6(8) + (6 + 8 + 3) \times 10[/tex]

[tex]sa = 48 + (17)(10)[/tex]

[tex]sa = 48 + 170[/tex]

[tex]sa = 220 \: {cm}^{2} [/tex]

Answer:

The area of the lawn is 68 [tex]m^2[/tex].

Step-by-step explanation:

Area of lawn = Area of garden - (Area of triangle + Area of trapezium)

Area of garden = length x width

                            = 14 x 10

                           = 140 [tex]m^2[/tex]

Area of triangle = [tex]\frac{1}{2}[/tex] x base x height

                         = [tex]\frac{1}{2}[/tex] x 3 x 8

                         = 12 [tex]m^2[/tex]

Area of trapezium = [tex]\frac{1}{2}[/tex] (a + b) h

                             = [tex]\frac{1}{2}[/tex](5 + 7) 10

                              = 60 [tex]m^2[/tex]

So that;

Area of lawn = 140 - (12 + 60)

                     = 140 - 72

                     = 68

The area of the lawn is 68 [tex]m^2[/tex].

Answer:

D.72

Step-by-step explanation:

first you have to divide 96 and 4 than it will equal 24 than you multiple by 3 and so 24×3=72

Answer:here the answer

Step-by-step explanation:

....

Answer:

x=63/8

Step-by-step explanation:

9/8=x/7

or, 9*7=x*8

or, 63=8x

x=63/8

Using the Central Limit Theorem, it is found that the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal.

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, the statement is true, as for sample sizes of 30 or more, the sampling distribution of sample means is normal, no matter the underlying distribution of the variable.

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Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

Applying the trigonometric ratios and the triangle sum theorem, the missing lengths and angles are:

AB = 27.2 units

BC = 33.5 units

AC = 50.4 units.

m∠A = 38°

m∠ABC = 112°

The trigonometric ratios, SOHCAHTOA, are used to find the sides or angles of a right triangle.

Find BD using TOA:

tan ∅ = opp/adj

tan 30 = BD/29

BD = tan 30 × 29

BD = 16.7 units

Find AD using TOA:

tan ∅ = opp/adj

tan 52 = AD/16.7

AD = (tan 52)(16.7)

AD = 21.4 units

Find AB using SOH:

sin 52 = 21.4/AB

AB = 21.4/sin 52

AB = 27.2 units

Find BC using CAH:

cos 30 = 29/BC

BC = 29/cos 30

BC = 33.5 units

Find AC:

AC = AD + DC

AC = 21.4 + 29

AC = 50.4 units.

m∠A = 180 - 52 - 90 = 38° (triangle sum theorem)

m∠ABC = 180 - m∠A - m∠C (triangle sum theorem)

m∠ABC = 180 - 38 - 30

m∠ABC = 112°

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Answer: Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

Given equation -

[tex]\bold{(x + 2) {}^{2} + 4(x + 2) - 5 = 0} \\ [/tex]

solve the parenthesis so as to obtain simpler terms

[tex]\bold{\implies \: ( x {}^{2} + 4x + 4 ) + 4x + 8 - 5 = 0}\\ [/tex]

solve the like terms and you'll obtain the required equation !

[tex]\bold{\implies \: x {}^{2} + 8x - 7 = 0}[/tex]

hope helpful ~

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

x = -7, -1

Step-by-step explanation:

[tex] \sf {(x + 2)}^{2} + 4(x + 2) - 5 = 0[/tex]

let (x + 2) = y

So equation will be

[tex] \sf {y}^{2} + 4y - 5 = 0[/tex]

Further it becomes quadratic equation

we will solve it by breaking middle term method

[tex] \sf \implies {y}^{2} + 5y - y - 5 = 0 \\ \\ \sf \implies y(y + 5) - 1(y + 5) = 0 \\ \\ \sf \implies (y + 5)(y - 1) = 0[/tex]

Now put the value of y

[tex] \sf \implies (x + 2 + 5)(x + 2 - 1) = 0 \\ \\ \sf \implies (x + 7)(x + 1) = 0[/tex]

(x + 7) =0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀(x + 1) = 0

x = -7⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ x = -1