A circular garden has a circumference of 88 yards. Lars is digging a straight line along a diameter of the garden at a rate of 7 yards per hour. How many hours will it take him to dig across the garden? Use 3.14 for π and round the diameter to the nearest whole number, if necessary.

Answers

Answer 1
Answer:

Answer:

It will take 4 hours to dig in the garden

Step-by-step explanation:

First we have to calculate the diameter, for this we will use the formula to calculate the circumference of a circle and we will clear the diameter

d = diameter

π = 3.14

c = circumference

c = π * d

d = c / π

d = 88yd / 3.14

d = 28.025yd

round to the nearest whole number

28.025 = 28

d = 28yd

To know how many hours it takes, we divide the diameter by the speed

t = time

v = velocity

t = d / v

t = (28yd) / (7yd/h)

t = 4h

It will take 4 hours to dig in the garden


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Whats the factored form of 6x 2 - 8x - 8 = 0

Answers

Answer:

2(x -2)² = 0

Step-by-step explanation:

2(x² - 4x - 4) = 0

2(x -2)² = 0

x = 2

Answer:

2(3x-2)(x+2)=6x^2-8x-8

The factored form of 6x^2-8x-8=0 is 2(3x-2)(x+2)=0

Step-by-step explanation:

6x^2-8x-8=0

The way the quadratic equation was given, we can't have a factored form in the format: (ax-b)(cx+d)

First, divide both sides by 2

3x^2-4x-4=0

Now, it is about thinking. From the equation, we will get something in the format:  (ax-b)(cx+d)

Let's expand this: (ax-b)(cx+d) = acx^2+adx-bcx-bd

From here, we can give some values for those variables, based on the quadratic equation 3x^2-4x-4=0:

(3x-b)(x+d) = 3\cdot 1\cdot x^2+3dx-b\cdot 1 \cdot x-bd= \boxed{3x^2+3dx-bx-bd}

Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.

(3x-2)(x+2) = 3\cdot 1\cdot x^2+3(2)x-(2)\cdot 1 \cdot x-(2)(2)= \boxed{3x^2+6x-4x-4}

Therefore,

(3x-2)(x+2)=3x^2-4x-4

But we are not ready yet!

This is the factored form of 3x^2-4x-4=0, to get the factored form of the problem equation, just multiply the factored form we got by 2.

2(3x-2)(x+2)=6x^2-8x-8

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Answers

Hello,

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Answers

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Step-by-step explanation:

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If you triple 4 and subtract 2 each day, how many days until you have zero

Answers

Triple 4 and subtract 2 each day
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2nd day
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6th day
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In 6th day, you’ll be able to get the amount of zero by subtracting 3(4) by 2.




The circle graph shows how a family spends its annual income. If $33,750
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Answers

we find that the total annual income is $40,178.57.

To find the total annual income, we need to subtract the amount spent on clothing and savings from 100%.

Clothing and savings make up 16% of the income, so the remaining 84% is used for other expenses.

Let's call the total annual income 'x'.

The equation can be written as:

84% of x = $33,750.

To solve for x, we can set up a proportion: 84/100 = $33,750/x.

Cross multiplying gives us 84x = $33,75000.

Dividing both sides by 84,

we find that x = $40,178.57.

Learn more about Total Annual Income here:

brainly.com/question/31458568

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Then check your answer: 

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Submit your work legible (ifSwill and answerin a webmail to me. This is a total of 35 points. Itbe a portfolio gradyou will have to webmail me this!Complete the following problems.1. Open Response: Solve each problem below. Solve for the missing side, Show your workGive both an exact answer and Rn answer in your solutions.

Answers

ok so

for a right triangle with legs legnth a and b and hypotonuse c
a^2+b^2=c^2
remember
the hypotonuse is the side oposite the right angle

you have
13 and 17 and x
17=hypotonuse
13 ad x are legs
13^2+x^2=17^2
169+x^2=289
minus 169 boh sides
x^2=120
sqrt both sides
x=2√30
aprox
10.9545 units


second one
legs are 5x and x
hypotonsue is 20
(5x)^2+x^2=20^2
25x^2+x^2=400
26x^2=400
divide both sides by 26
x^2=(400/26)
sqrt both sides
x=20/(√26)
aprox
x=3.92232 units
times 5 to see other leg
19.616 units