please answer this question . when you solve it please explain how you got the answer . thank you.
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The area of the composite figure that is composed of trapezoid rectangle and triangle is solved to be 55.3 square meters

The composite figure is made up of

The area is calculated by solving each area and adding them up

= area of trapezoid + area of rectangle +  area of triangle

= 1/2 x (2 + 4) x 2.1 + 10 x 4 + 1/2 x 4.5 x 4

= 1/2 x 6 x 2.1 + 10 x 4 + 1/2 x 4.5 x 4

= 6.3 + 40 + 9

= 55.3 square meters (to the nearest tenth)

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well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}[/tex]

now, let's apply the 5% taxation to that

[tex]\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}[/tex]

Answer:

Step-by-step explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00    
off 20% (-)8.00 = $32.00    
. . . . . . . . . . . . 5% (+)  1.60 = $33.60

answer D. $33.60

       

The approximate number of gallons that are equal to 48,000cm³ is

10.5 Gallons

10.5 Gallons are equal to 48000 cm³ if  1 litre is approximately 1.75 pints, 1 gallon= 8 pints,

1000  cm³    =  1  Litre

48000 cm³  = 48 litre

1 litre is approximately 1.75 pints

=> 48 litre is approximately = 48 * 1.75 pints

= 84 Pints

8 pints  = 1  Gallon

=> 1 pint = 1/8 Gallon

=> 84 Pints = 84/8  Gallons=

= 10.5 Gallons

So, 10.5 Gallons are equal to 48000 cm³

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Answer: .46%

Step-by-step explanation:

=.00456 = .46%  move decimal to right 2 times to convert to percent or x100

The volume of the pyramid is approximately 105.8 cubic feet.

To calculate the volume of the pyramid, we can use the formula V = (1/3)Bh, where B is the area of the base and h is the height of the pyramid. Since the base of the pyramid is a square, we can use the formula for the area of a square, which is A = s², where s is the length of a side of the square.

Given that the perimeter of the base is 10.7 feet, we can calculate the length of each side of the square by dividing the perimeter by 4: s = 10.7 ft / 4 = 2.675 ft. Therefore, the area of the base is B = s² = 2.675²= 7.16 square feet.

Now we can plug in the values for B and h into the formula for the volume of the pyramid:

Therefore, the volume of the pyramid is approximately 105.8 cubic feet, rounded to the nearest tenth of a cubic foot.

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The equation relating to N to M is N = 6M. Goran needs to read 66 novels in 11 months.

The equation that connects N and M is: N = 6M

To calculate the number of novels Goran must read in 11 months, we plug M = 11 into the equation:

N = 6(11) = 66

Goran must therefore read 66 novels in 11 months.

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Answer: 10

Step-by-step explanation:

if x=-5

y= |-5-5| + |-5 + 5|    add what's inside the absolute values first

y=|-10|            absolute value means just take the positive of what's inside, even if its' positive

y=10

Step-by-step explanation:

y = |x-5|+|x+5| when x = -5

y = |(-5)-5|+|(-5)+5|

y = |-10|+|0| note: |x| = positive

y = 10

Answer:

a) -3n + 7

b) -5n -2

Step-by-step explanation:

a) 4 1 -2 -5 -8

the difference = -3

the -3 times table = -3, -6, -9, -12 etc

from -3 to 4 we add 7

answer = -3n + 7

check = -3(4) + 7 should give -5 (because -5 is the 4th term in the sequence)

b) -7 -12 -17 -22 -27

the difference = -5

-5 times table = -5, -10, -15, -20

from -5 to -7 we subtract 2

answer = -5n -2

check = -5(5)-2 should give -27 (because -27 is the 5th term in the sequence)

Answer:

3(8-4x)<6(x-5)

(24-12x)<(6x-30)

collect like terms

24+30<6x+12x

54 <18x

x<54/18

x<3

Therefore x is lesser than 3

Step-by-step explanation:

Starting with x^2 + 6x = 9:

1. Move the constant term to the right side: x^2 + 6x - 9 = 0

2. Find the coefficient of x (which is 6) and divide it by 2: 6/2 = 3

3. Square the result from step 2: 3^2 = 9

4. Add the result from step 3 to both sides of the equation to complete the square: x^2 + 6x + 9 = 18

5. Factor the left side of the equation: (x + 3)^2 = 18

6. Take the square root of both sides of the equation: x + 3 = ±√18

7. Simplify the right side of the equation: x + 3 = ±3√2

8. Solve for x by subtracting 3 from both sides of the equation: x = -3 ±3√2

So the solutions are x = -3 + 3√2 and x = -3 - 3√2.

PLS mark my answer brainliest

Solving we get that option (C) that is x equals plus or minus root 18 minus 3 is correct.

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square.

The steps of the method are as follows:

Isolate the number or variable c to the right side of the equation. Divide all terms by a (the coefficient of x2, unless x2 has no coefficient). Divide coefficient b by two and then square it. Add this value to both sides of the equation.

1). [tex]x^2+6x+\huge \text(\dfrac{6}{2} \huge \text)^2 =9+\huge \text(\dfrac{6}{2} \huge \text)^2[/tex]

2). [tex]\huge \text(x+\dfrac{6}{2} \huge \text)^2=18[/tex]

3). [tex](x+3)^2=18.[/tex]

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Complete Question-

Solve x2 + 6x = 9 for x by completing the square.

A. x = −6

B. x = 0

C. x equals plus or minus square root of 18 minus 3

D. x = x equals plus or minus square root of 18 plus 3

Answer:

Step-by-step explanation:

A semi-circle has an angle of 180 degrees. So 1/18 of 180 gives 10 degrees as the answer

The value of x are

1. x = 9

2. x = 16.64

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

c² = a² +b²

Since the radius meet the tangent of the circle, the angle formed is 90°. Therefore ;

a. x² + 12² = (x+6)²

x²+144 = x²+12x +36

12x = 144-36

12x = 108

x = 9

b. x² = 14² + 9²

x² = 196 + 81

x² = 277

x = √ 277

x = 16.64

therefore the value of x is 16.64

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The expected value of the distribution is 0.84, which means that on average, a randomly chosen family household in the US in 2016 had 0.84 related children under the age of 18.

To find the expected value of this distribution, we need to multiply each possible number of children by its corresponding probability, and then add up the products. Since the table includes the category "4" to represent "four or more" children, but we're assuming it means exactly four children, we need to adjust the probability for the "4" category.

We can do this by subtracting the total probability of all the other categories from 1, since the probabilities must add up to 1

P(4) = 0.02 - 0.58 - 0.18 - 0.16 - 0.06 = 0.04

Now we can calculate the expected value

E(X) = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.04)

= 0 + 0.18 + 0.32 + 0.18 + 0.16

= 0.84

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By dividing the state's total personal income of 268025 million dollars by its population of 5.5935 million, one can estimate the per capita income in 2022 to be around 47,917 dollars per person.

Finding the values of P and t for 2022 is necessary before we can determine the per capita income.

Assuming that t is the number of years since the year 2000, t will equal 22 in 2022.

The state's population in millions in 2022 can be determined using the P equation:

The P equation can be used to calculate the state's population in millions for the year 2022:

P = 0.034 (52) plus 4.909 to equal 5.5935 million

Using the computation for the total amount of personal income earned in the state, we can compute the total personal income in millions of dollars in 2022:

I is equal to 6983(22) + 109359, or 268025 trillion dollars.

To calculate the per capita income, we divide the total personal income by the population:

Total personal income divided by population yields a per-person income of 47,917 dollars (26,8025 / 5.5935).

Consequently, the amount of per capita income predicted for 2022 is almost 47,917 dollars per person.

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The rule for the nth term of the geometric sequence is: [tex]an = 6 * 4^{(n-1)[/tex]

The rule for the nth term of a geometric sequence can be found using the third and fifth terms of the sequence. In this case, the rule is a = 24 and r = 4.

To find the rule for the nth term of a geometric sequence, we use the formula:

an = a1 *[tex]r^{(n-1)[/tex]

where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number.

Given that the third term is 96 and the fifth term is 1,536, we can write two equations:

a * r²  = 96

a *[tex]r^4[/tex]= 1536

Dividing the second equation by the first equation, we get:

r² = 16

Taking the square root of both sides, we get:

r = 4 (since r cannot be negative in a geometric sequence)

Substituting r = 4 into either of the two equations, we get:

a * 16 = 96

a = 6

Therefore, the rule for the nth term of the geometric sequence is:

[tex]an = 6 * 4^{(n-1)[/tex]

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[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{y}\\ a=\stackrel{adjacent}{1}\\ o=\stackrel{opposite}{1} \end{cases} \\\\\\ y=\sqrt{ 1^2 + 1^2}\implies y=\sqrt{ 1 + 1 } \implies y=\sqrt{ 2 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{x}\\ a=\stackrel{adjacent}{\sqrt{2}}\\ o=\stackrel{opposite}{13} \end{cases} \\\\\\ x=\sqrt{ (\sqrt{2})^2 + 13^2}\implies x=\sqrt{ 2 + 169 } \implies x=\sqrt{ 171 }\implies \boxed{x=3\sqrt{19}}[/tex]

Answer:

x = 4

Step-by-step explanation:

Using similarity, we can set up a proportion and solve:

There are two triangles in this image, triangle ABC and triangle DEC.

[tex]\frac{x}{10}=\frac{6}{15}[/tex].

Cross multiply to get:

[tex]15x=60[/tex]

Divide by 15 on both sides to get:

[tex]x=4[/tex]

So, 'x' is 4.

Answer:

3

Step-by-step explanation:

Hey! Alright so since its equilateral all sides are congruent.

This means you can set these two equations equal to eachother:

5 - 2x = -4x + 9

2x = 4

x = 2

5 - 2(2) = 1

-4(2) + 9 = 1

Have a great day!!

The price per pound of rib eye steak as per the $10.75 paid by Sid for 2.5 pounds of rib ribeye steak  is equal to $4.30.

Amount paid by Sid for rib ribeye steak is equal to $10.75

To find the price per pound of rib eye steak,

we need to divide the total price by the weight in pounds.

Price per pound = Total price / Weight in pounds

In this case, Sid paid $10.75 for 2.5 pounds of rib eye steak, so we have,

Substitute the values we have,

⇒ Price per pound = $10.75 / 2.5 pounds

Simplify the calculation, we get,

⇒ Price per pound = $4.30 per pound (rounded to the nearest cent)

Therefore, the price per pound of rib eye steak is $4.30.

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Step-by-step explanation:

it is isosceles triangle so it's base angle are equal so it will be 38 too

Answer:

PARTE A:

20%

PARTE B:
la probabilidad de que Jeremy saque un 3 o un 5 es 2/5 o 0,4 (40%) como decimal.

Step-by-step explanation:

The equation of the given parabola is expressed as: y = (-5/4)(x - 4)² + 3

We can see that the given parabola curve comes with x-coordinates and axis of symmetry.

The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y = ax² + bx + c , the axis of symmetry is a vertical line x = −b/2a .

The coordinates of the axis of symmetry are: (4, 3)

Thus:

4 = −b/2a

The equation of a parabola written in vertex form is:

y = a(x - h)² + k

where:

(h, k) is the coordinate of the vertex.

We have that (h, k) = (4, 3)

Thus:

y = a(x - 4)² + 3

At the coordinate (6, -2), we have:

-2 = a(6 - 4)² + 3

-2 = 4a + 3

4a = -5

a = -5/4

Thus:

y = (-5/4)(x - 4)² + 3

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Answer:

shaded area = 372.115 m²

Step-by-step explanation:

the shaded area is calculated as

area of outer Δ - area if inner Δ

area of outer = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

                      = [tex]\frac{1}{2}[/tex] × 35.4 × 32.3

                      = 17.7 × 32.3

                      = 571.71 m²

area of inner = [tex]\frac{1}{2}[/tex] × 20.9 × 19.1

                      = 10.45 × 19.1

                      = 199.595 m²

then

shaded area = 571.71 - 199.595 = 372.115 m²

The change amount received after brought some groceries of amount $29.65 is equal to $10.35.

Amount of money given by Mum = $40.0

Cost of all the groceries is equal to $29.65

To find out how much change you received,

Subtract the cost of the groceries from the amount of money your mum gave you.

⇒ Amount received = Amount given - Cost of groceries

Substituting the given values, we get,

⇒ Amount received = $40.0 - $29.65

⇒ Amount received =$10.35

Therefore, after paying the amount of groceries the total changed  received is equal to $10.35

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Growth Decay

2x, ƒ(x) = (1)²*, 3x, f(x) = (1.3)³x - Growth

f(x) = (0.8)*2, f(x) = (-²)*2 - Decay

(The functions are categorized as either representing growth or decay.)

Growth Decay

2x - Growth (The function 2x represents exponential growth because as x increases, the value of 2x also increases.)

ƒ(x) = (1)²* - Growth (The function ƒ(x) = (1)² represents exponential growth because any number raised to the power of 2 will always be positive.)

f(x) = (7)x-¹ - Decay (The function f(x) = (7)x-¹ represents exponential decay because as x increases, the value of (7)x-¹ decreases.)

3x - Growth (The function 3x represents exponential growth because as x increases, the value of 3x also increases.)

f(x) = (1.3)³x - Growth (The function f(x) = (1.3)³x represents exponential growth because as x increases, the value of (1.3)³x also increases.)

f(x) = (0.8)*2 - Decay (The function f(x) = (0.8)*2 represents exponential decay because any number raised to the power of 2 will always be positive, and multiplying by 0.8 reduces the value.)

f(x) = (-²)*2 - Decay (The function f(x) = (-²)*2 represents exponential decay because any number raised to the power of 2 will always be positive, but the negative sign in front indicates a decay.)

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The feet of chicken wire needed by Kaitlin would be 95 feet.

The total to be spent on chicken wire would be $ 123. 50.

The feet length would be the circumference of the circular vegetable garden which would be :

= π x diameter

The feet length is:

= π x 30

= 94. 25 feet

= 95 Feet

This then means that the cost of the chicken wire would be ;

= 95 x 1. 30 per foot

= $ 123. 50

In conclusion, the cost of the chicken wire would be $ 123. 50.

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— i would say 3/4 cups of flower

The bearing of Manchester from Cambridge is 270⁰.

Bearing refers to the direction or angle between two points, usually measured in degrees, that indicates the horizontal angle between a reference point or line and a target point or object.

Bearing is typically expressed as an angle measured clockwise from north, which is known as "true north" or "geographic north".

The bearing of Manchester from Cambridge is the angle made by the plane from Cambridge back to Manchester.

From the diagram the bearing of Manchester from Cambridge is 270⁰.

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The weight of Keenan's paperweight is 340 grams using the volume of a pyramid given by V = (1/3)Bh.

To find the weight of Keenan's paperweight, we need to first find its volume. The volume of a pyramid is given by V = (1/3)Bh, where B is the area of the base and h is the height. Substituting the given values, we get:

V = (1/3)(80)(7.5) = 200 cm³

Next, we need to find the mass of the paperweight using the density of the clay. We know that density (p) is defined as mass (m) per unit volume (V), or p = m/V. Rearranging this equation, we get:

m = pV

Substituting the values, we get:

m = (1.7)(200) = 340 grams

Therefore, the weight of Keenan's paperweight is 340 grams.

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