Please answer the question in the picture :) tysm

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

let's simplify ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{5} (10 - 4 \sqrt{2} )[/tex]

[tex]\qquad \sf  \dashrightarrow \: ( \sqrt{5} \times 10) - ( \sqrt{5} \times 4\sqrt{2)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 10 \sqrt{5} - 4\sqrt{10} [/tex]

Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Amelia is using substitution to determine if 8 is a solution to the equation.  The equation which is Amelia is solving  for a = 8 is,

[tex]6a = 42[/tex]

First, Amelia must substitute 8 for the variable using parentheses as,

[tex]6(8) = 42[/tex]

To simplify, Amelia must. multiply 8 by 6.

[tex]48 \neq 42[/tex]

The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.

Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.

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Answer:

it is a

Step-by-step explanation:

Answer:

1st question

Sry if its wrong xx

Answer:

$7.13

Step-by-step explanation:

Very simple, we subtract 12.87 from 20 and the answer is 7.13.

So should get back $7.13 as her change

Answer:

$91.30

Step-by-step explanation:

Hours worked on Monday: 8.30 hours (4.15 in the morning and 4.15 in the afternoon)

8.30 hours x $11 per hour: $91.30

Answer:

P (n,r)= [tex]\frac{n!}{(n-r)!}[/tex]

Step-by-step explanation:

P (n,r)= ?

complete formula for permutation of objects in a set:

P (n,r) = [tex]\frac{n!}{(n-r)!}[/tex]

Answer:

480 in^3

Step-by-step explanation:

Multiplying the length of each of the sides together gives the volume, so [tex]12*4*10=480[/tex]

Answer:

The answer is -1.5

Step-by-step explanation:

Hope that helps.

Answer:

Step-by-step explanation:

-3/4 + (-3/4) remove parentheses

-3/4- 3/4 calculate the difference

-3/2 or - 1 1/2 or -1.5

Answer:

13.5

Step-by-step explanation:

because 18 times 75 equals 1350 then you divide 1350 by 100 and you get 13.5

Answer:

It is 1.1

Step-by-step explanation:

-hope this helps.

Answer:

The correct answers are:

A.) 110 - 16 = 10h

B.) 110 = 16h + 10

Step-by-step explanation:

Sylvie needs $110 for a concert ticket and already has $16 in her pocket. She can make up the difference by working an additional 10 hours at her job.

To earn the $110 required for the concert ticket, she'll need to work 10 hours in addition to the $16 she already has.

As a result, the following calculation can be used to calculate her hourly rate:

110 = 16 + 10h

110 - 16 = 10h

I hope this helps! ^-^

Answer:

8.60 inches

Step-by-step explanation:

The equation for circumference is 2πr. So we can solve for r (radius).

27inches=2πr

divide both sides by 2π :

r=4.299

The equation for diameter is 2*r so we just multiply

4.299 *2 = 8.598

since we have to round to the hundredth place the answer would be

8.60

The approximate diameter of the circular clock is 8.60 inches.

Circumference of a circle is defined as the total length of the boundary of the circle.

The concept is same as the perimeter for straight sided figures.

Given that,

Circumference of the clock = 27 inches

The formula to find the circumference is,

C = 2πr

where r is the radius.

2r is the diameter.

2πr = 27

2r = 27 / 3.14

2r = 8.5987 ≈ 8.60

Hence the diameter of the clock is 8.60 inches.

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The value in cubic yards is 3.996yd³.

The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.

A rectangular box with a square base and no top is to have a volume of 108ft³.

We are to convert the dimension to cubic yards. Using the conversion factor

1 ft³ =  0.0370yd³

108ft³ = x

Cross multiply

1 × x = 108 × 0.0370

x = 3.996

Hence, the value in cubic yards is 3.996yd³.

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By using what we know about octagons, we will see that:

For an octagon of side length S, the area is:

A = 2*(1 + √2)*S^2

In this case, the area of the smaller octagon is:

19.28 in^2 =  2*(1 + √2)*S^2

Solving for S we get:

S = √( 19.28 in^2/(2*(1 + √2))) = 2.03 in

If we apply an enlargement of a factor 3.5, the new side length is:

S' = 3.5*2.03 in = 7.11 in

Then the area of the larger octagon is:

A' = 2*(1 + √2)*(7.11 in)^2 = 244.89 in^2

b) For an octagon of side length S, the radius is:

R = S*√(1 + 1/√2)

Then the radius of the larger octagon is:

R' = (7.11 in)*√(1 + 1/√2) = 9.29 in

Then the diameter of the box must be:

D = 2*R' = 2*9.29 in = 18.58 in

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Answer:

65 m

Step-by-step explanation:

The length of the mast, 60 m, is a leg of a right triangle.

The distance the wire is from the foot of the mast is the other leg.

The length of the wire is the hypotenuse of the right triangle.

We can use the Pythagorean theorem to find the length of the wire.

a² + b² = c²

60² + 25² = c²

3600 + 625 = c²

c² = 4225

c = 65

Answer: 65 m

The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.

The radius of the sector =20 units

Central angle subtended by sector = 162° = 162π/180 radians

As we know the area of a sector= 0.5r²α

where r is the radius and α is the central angle.

So, the area of the given sector = 0.5*20²* 162π/180

The area of the given sector = 180π unit²

Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².

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Answer:

its c

Step-by-step explanation:

A scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.

Your information is incomplete. Therefore, an overview of the scatterplot will be given. A scatterplot simply means is a type of plot using Cartesian coordinates to display values for two variables for a set of data.

In this case, a scatter plot uses dots to represent values for two different numeric variables and determine whether or not two variables have a relationship or correlation.

The position of each dot on the horizontal and vertical axis shows the values for an individual data point.

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Answer:

Below

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

The middle number is the median

Answer:

A

Step-by-step explanation:

a quartic trinomial is a polynomial of degree 4 , with 3 terms

The only polynomial to fit this description is A

Answer:

hello

g (x)= x² - 5

g (3) = 3² - 5 =  9 - 5 =  4

Step-by-step explanation:

Answer:

0.25+0.6= 0.9166666667 or 11/12

Step-by-step explanation:

hope this helps

Answer:

4 quarters

Step-by-step explanation:

4 quarters = $1

14 nickels = $0.70

The answer is B i took the quiz

Step-by-step explanation:

Volume of Barrel : [pi x h(r² + 2R²)] / 3

Barrel A : 2pi(r² + 2R²)]/ 3

Barrel B : 5pi(r² + 2R²)]/ 3

Barrel A + Barrel B = 532

5pi(r² + 2R²)/3 + 2pi(r² + 2R²)/3 = 532

5pi(r² + 2R²) + 2pi(r² + 2R²) = 1596

7pi(r² + 2R²) = 1596

pi(r² + 2R²) = 228

Barrel A = 2 x 228/3 = 76 ft³ SMALLER

Barrel B = 5 x 228/3 = 380 ft³

hope it's helpful, I'm not sure if (r) and (R) are the same if the two barrels has a similar shape. but if they're the same, then the answer is correct

Answer:

CD = 16

Step-by-step explanation:

Segments EF and EC are tangent and secant respectively to the circle drawn from external point E.

Thus, by tangent-secant theorem:

[tex]ED\times EC= EF^2[/tex]

[tex]\implies x(x+x+7)= (15)^2[/tex]

[tex]\implies 2x^2+7x= 225[/tex]

[tex]\implies 2x^2+7x-225=0[/tex]

Comparing above quadratic equation with [tex]ax^2+bx+c=0[/tex], we find:

a = 2, b = 7, c = -225

Now, we find the value of the discriminant

[tex]\implies b^2-4ac= (7)^2-4(2)(-225)= 1849[/tex]

Now, by quadratic formula:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\frac{-7\pm\sqrt{1849}}{2(2)}[/tex]

[tex]\implies x=\frac{-7\pm (43)}{4}[/tex]

[tex]\implies x=\frac{-7+ 43}{4}\: or\:x=\frac{-7- 43}{4} [/tex]

[tex]\implies x=\frac{36}{4}\: or\:x=\frac{- 50}{4} [/tex]

[tex]\implies x=9\: or\:x=-12.5 [/tex]

x represents length, so it can't be negative.

[tex]\implies x\neq -12.5[/tex]

[tex]\implies x=9[/tex]

CD = x + 7

-> CD = 9 + 7

-> CD = 16

Answer:

for x=5, x=4 , x=2

Step-by-step explanation:

zero points, the x values that make this formula to be zero.

5-5=0

4-4=0

2-2=0

these values satisfied