A Piece Of Twine 6 Yards Long Costs $2.88. What Is The Price Per Foot? (2024)

The distance of the image from the lens V=22.5cm and the height of the image h=6.25cm.

What will be the distance and the height of the image placed in front of the convex lens?

It is given that

Hieght of an object H = 5cm

Distance of an object =18cm

Focal lenght of lens = 10cm

As we know that the lens formula is given by

[tex]\dfrac{1}{f} =\dfrac{1}{v} +\dfrac{1}{u}[/tex]

[tex]\dfrac{1}{v} =\dfrac{1}{10} -\dfrac{1}{18}=\dfrac{8}{180}[/tex]

so now

[tex]v= \dfrac{180}{8} =22.5\ cm[/tex]

Now to find the height of the image

[tex]\rm magnification =\dfrac{v}{u} =\dfrac{-Image\ Hieght }{object\ height}[/tex]

[tex]\rm magnification =\dfrac{22.5}{18} =\dfrac{-x}{5}[/tex]

[tex]x=-6.25\ cm[/tex]

Thus the distance of the image from the lens is V=22.5cm and the height of the image h=6.25cm.

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Answer:

Roughly 10%

Step-by-step explanation:

We just need to reduce this fraction: 13/119

It is in the lowest terms already, so now we need to make this fraction a percent.

13/119 = 10.12

10.12 ≈ 10%

Answer: 48

Step-by-step explanation:

Answer:

n = 8

Step-by-step explanation:

3n = 24

÷3 ÷3

n = 8

I hope this helps!

Answer: 100

Step-by-step explanation:

[tex]\frac{3}{4} = \frac{75}{x}[/tex]

3 x 25 = 75

4 x 25 = 100

Answer: a=21, b=42, c=117

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Lateral SA = area of the 4 triangles

Formula to be used :-

Area (triangle) = 1/2bh

=> 4 x 1/2 x 9 x 12

=> 108 x 2

=> 216 cm²

Total SA = LSA + area of the square

Formula to be used :-

Area (square) = side length x side length

=> 216 + 9 x 9

=> 216 + 81

=> 297 cm²

The correct option is (D).

LSA:-

Area of one triangle:-

1/2(Base)(Height)1/2(9)(12)6(9)54cm²

LSA

4(54)216cm²

TSA:-

Area of square:-

side²9²81cm²

TSA:-

81+216=297cm²

Solution:

We know that:

Equation of parallel line: y = 2x - 2

Since the parallel line has a slope of 2, the equation of the original line will also have a slope of 2. Now, let's use point-slope form to find the equation.

y - y₁ = m(x - x₁)y - (-1) = 2(x - 5)y + 1 = 2(x - 5)

Thus, the equation of the line in point slope form is y + 1 = 2(x - 5).

Answer:

A is the Answer

Step-by-step explanation:

A is the correct answer

Answer:

3 1/2 Pounds

Step-by-step explanation:

2/3=4/6

4/6+5/6=9/6

30/6-9/6=21/6

Answer:

Volume: 16.76 cm^3

Surface area: 40.67 cm^2

Step-by-step explanation:

To find volume, you use the formula V=πr^2*h/3

To find the surface area you use formula A=πr(r+√h^2+r^2)

Answer:

V = 16.76

Surface Area = 40.67

Step-by-step explanation:

V=πr2h

A=πrl+πr2

Answer:

S = -90t + 550

Step-by-step explanation:

First we must note a few key things the question tells us:

1. The tickets sell at a constant rate, thus implying a linear relationship.

2. Tickets start selling at 10

3. The independent variable (t) is in hours after 10

4. The number of tickets (S) is declining, thus we should expect a negative gradient.

5. The number of tickets is our dependent variable since it is reliant on time.

y = mx+c is our general linear expression which we will call "Eq 0"

Lets substitute our knowns into this to find m and c. We know that "t" is independent and that "S" is dependent on "t" therefore, we know that our x-axis will be representing values for "t" and that our y-axis will represent values for "S"

We must use simultaneous equations to find m and c

Eq 1: 550 = m(0) + c -> 550 = c

Eq 2: 280 = m(3) + c -> 280 = 3m + c

From Eq 1. we already know that our y intercept is at 550.

To find our gradient, we must substitute our known (550 being the y-intercept) into the next equation.

Thus,

280 = 3m + 550

To isolate our variable (m) we subtract both sides by 550

280 - 550 = 3m + 550 - 550

-270 = 3m

To finally find m, we divide both sides by 3

-270/3 = 3m/3

-90 = m

Now we substitue both our knows into Eq 0, note that our gradient (m) is negative as expected.

y = -90x + 550

Or, in terms of S and t

S = -90t + 550

Answer:

Step-by-step explanation:radiusr = 4 m

heighth = 13 m

slant heights = 13.6014705 m

volumeV = 217.817091 m3

lateral surface areaL = 170.921119 m2

base surface areaB = 50.2654825 m2

total surface areaA = 221.186602 m2

Answer:

Six.

Step-by-step explanation:

6×2.65 we can round to 6×2.5=$15 the next smallest ans is 12, 12 is double of 6 so the ans would be double (30), 30 is a lot larger than 20 so we can safely assume that 6 is correct.

Solution:

It should be noted:

If a fraction is being divided, the divisor will become it's reciprocal and the sign changes to a multiplication sign.

Finding the quotient.

-4/9 ÷ -1/3=> -4/9 x -3

Multiplying both terms.

=> -4/9 x -3=> 12/9

Simplifying the fraction

=> 12/9 => 4 x 3/3 x 3=> 4/3

Converting the fraction into mixed fraction

=> 4/3 = 1 1/3 (Option D)

Option D is correct.

Answer:

[tex]\sf 1\dfrac{1}{3}[/tex]

Explanation:

[tex]\hookrightarrow \sf \dfrac{-4}{9} / \dfrac{-1}{3}[/tex]

manipulate sides by changing signs

[tex]\hookrightarrow \sf\dfrac{-4}{9} *\dfrac{3}{-1}[/tex]

simplify by multiplication

[tex]\hookrightarrow \sf \dfrac{-12}{-9}[/tex]

the negatives cancels out

[tex]\hookrightarrow \sf \dfrac{12}{9}[/tex]

simplify

[tex]\hookrightarrow \sf \dfrac{4}{3}[/tex]

turn this into mixed fraction

[tex]\hookrightarrow \sf 1\dfrac{1}{3}[/tex]

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

Answer:

g(x)=x2 +8= (x-0)2+8

Step-by-step explanation:

Answer:

c ,two solutions

Step-by-step explanation:

I think I might be right

There no solution to this nonlinear system.

The correct option is B.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We know that the solution of the graph can be seen by x axis touching.

The number of points the curve touches the x axis, there are that number of solution for the curve.

Here the curve touches the x axis only at 0 point.

Thus, the solution of the Equation is No solution.

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Answer: The fixed amount Geet earns for each television is$60.

Step-by-step explanation: Geet sells televisions. He earns a fixed amount for each television and an additional $ 30 if the buyer gets an extended warranty.If Geet sells 17 televisions with extended​ warranties, he earns $ 1,530.Now, to find the fixed amount Geet earns for each television.Let the cost of fixed amount be.Number of television = 17.He earns total = $1,530.He earns additional amount = $30.Now, to get the fixed amount we put an equation:Subtracting both sides by 510 we get:Dividing both sides by 17 we get:Therefore,the fixed amount Geet earns for each television is $60.

Answer:

$15 Fixed Amount Per TV

Step-by-step explanation:

13 x 15 = 195 - Extended Warranty

845 - 195 = 650

650 ÷ 13 = 50 - Fixed Amount

Answer:

90 In

Step-by-step explanation:

12 x 7 = 84

12 x 1/2 = 6

84 + 6 = 90

Answer:

657kg

Step-by-step explanation:

405 ÷ 45 = 9

9 x 73 = 657kg

I hope this helps!

You can set this problem up as an equivalent ratio:
45 cartons/405 kg = 73 cartons/x kg

Then, you would have to cross-multiply by doing:
73*405 = 45*x
29565=45x
x=657 kg

Answer:

it will take 6men to work in 12days

it takes 6men to work in 13hours it will now take 7men to work 13

it will take 6 hours to travel at 80miles

it will take 6 men to complete the same work at 1 hour

it will take 9 men to mow a large piece of lawn in 8 hour

it will travel 50 miles is 7 hour

Answer:

2√34

Step-by-step explanation:

→ Find the difference between the x coordinates

-4 - 6 = -10

→ Find the difference between the y coordinates

2 - 8 = -6

→ Use Pythagoras

√ -10² + 6²= 2√34

Answer:

You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.

Formula: Simple Interest=P×r×t where: P=Principal amount; r=Annual interest rate; t=...

Principal Amount: Principal Amount remains constant on Simple Interest

Meaning: Simple Interest is calculated on the Principal Amount for the entire tenure

Calculation: It is easy to calculate Simple Interest

Answer:

To calculate simple interest, you can use a specific formula:

I (interest) = p (principal) x r (rate) x t (time)

Important: Rate is always a decimal, and time must be a compatible unit that matches with the rate (months, years, etc.).

Answer:

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

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] × [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{36}[/tex]

HCF of 15,36 = 3

[tex]\frac{15}{36}[/tex] ÷ [tex]\frac{3}{3}[/tex] = [tex]\frac{5}{12}[/tex]

Answer:

√X2-X1+√Y2-Y1

=√7-(-9) +√-10-8

=√16 + √-18

=4 + -(√18)

=4 + (-3√2)

=-0.24

Step-by-step explanation:

by answering this you must use the distance formula and label -9 as X1 , 8 as Y1 and 7 as X2 , -10 as Y2 then you put X2-X1 in the same root sine do the same at Y2-Y1.

Answer:

c

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

Use the formula P=2(l+W)

the length would be 65ft and the perimeter would be 374

The best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

Since the sample is normally distributed and has a mean μ = 98.52 F and a standard deviation, σ = 0.727 F and we need to find the percentage of all womenat this university who have a body temperature more than 2 standards deviations above the mean.

The normal distribution

Since the sample is normally distributed, 50% of the sample is below the mean. We have 34% of the sample at 1 standard deviation away from the mean and 47¹/₂% at 2 standard deviations above the mean.

Percentage below 2 standard deviations away from mean

So, the percentage below 2 standard deviations from the mean is 50% + 47¹/₂% = 97¹/₂%.

Percentage above 2 standard deviations away from mean

So, the percentage above 2 standard deviations from the mean is 100% - 97¹/₂% = 2¹/₂% = 2.5 %

Since 2.28 % is the closest to 2.5 % from the options, the best estimate is 2.28 %.

So, the best estimate of the proportion of all women at this university who have a body temperature more than 2 standard deviations above the mean is 2.28%.

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Answer:

a) Right triangle b) Obtuse triangle c) equilateral triangle.

Step-by-step explanation:

A right triangle has a 90 degree angle. Obtuse triangles need to have one angle greater than 90 degrees, and equilateral triangles have same sides.