How many yards long is a piece of fabric witha width of 5/8 yrd nd a area of 2 3/4 square yards?

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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The distance travelled by both Evelyn and Sarah is 30 miles.

Given,

The speed travelled by Evelyn = 30 mph

Time taken by Evelyn to cover a distance = 20 minutes

Speed travelled by Sarah = 60 mph

We have to find the distance travelled by both of them.

Speed = distance / time

Then,

Distance = speed x time

Lets take x as the distance.

Then,

36 × (x + 20) = 60x

36x + 720 = 60x

60x - 36x = 720

24x = 720

x = 720/24

x = 30

That is,

The distance travelled by both Evelyn and Sarah is 30 miles.

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The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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What is that for?

??????????????????????????????????????????????????????????????????????

Answer:

Step-by-step explanationuuh soo I don’t understand this app:

Answer:

A) 20h+5≥125

Step-by-step explanation:

total amount = flat rate + amount per hour * hours worked

She wants to earn at least 125

125≤ 5 + 20h

Rewriting

5 + 20h ≥ 125

Answer:

Option a. 20h+5≥125 is the correct answer

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

Minimum weight = 23kg

Maximum weight= 34kg

Step-by-step explanation:

Find the lowest and highest weight

Answer:

See below ↓↓

Step-by-step explanation:

Answer:

the answer is 1760

Step-by-step explanation:

Answer:

1) 6 lines of symmetry

2) 360 ÷ 6 = 60°

The slope is:

Work/explanation:

I am going to utilise the formula:

\(\bf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

where m equals the slope of the line.

Plug in the data:

\(\bf{m=\dfrac{2-0}{0-(-2)}}\)

\(\bf{m=\dfrac{2}{0+2}}\)

\(\bf{m=1}\)

Answer:

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Rs 198

Step-by-step explanation:

Given:

Amount pay per hour = Rs 18

Shift time = 12 h  to 23 h

Find;

Number of hour work per shift

Amount paid for one shift

Computation:

Number of hour work per shift = 23:00 - 12:00

Number of hour work per shift = 11 hour per day

Amount paid for one shift = Number of hour work per shift x Amount pay per hour

Amount paid for one shift = 11 x 18

Amount paid for one shift = Rs 198

Answer:

the answer is -16, hope this helps, and hope you get into your dream school!

Step-by-step explanation:

none needed

Answer:

\( - 32\)

Step-by-step explanation:

\(−1(−2)(4)(−4)\)

\(2 \times 4(−4)\)

\(8(−4)\)

\(−32\)

Answer:

a) CI = ( - 0,0087 ; 0,0355)

b) No CI contains 0 meaning that statistically the proportions could be equal

Step-by-step explanation:

Boys Sample

Size sample   n₁  = 546

x₁ = 87

proportion   p₁  = 87/546     p₁ = 0,159       p₁  =  15,9 %

Girls sample

Size sample   n₂  = 508

x₂ = 74

proportion  p₂  =  74 / 508     p₂ = 0,1456   p₂  = 14,56 %

Hypothesis test:

Null hypothesis                    H₀              p₁  =  p₂

Alternative Hypothesis       Hₐ              p₁  ≠  p₂

Confidence Interval  CI = 90 %   significance level  α = 10 %

α = 0,1    and as the alñternative hypothesis indicates is a two-tail test

then α/2 = 0,05

z(score)  for 0,05 is from z table   z(c) = 1,64

Confidence Interval 90 % is:

CI = [( p₁ - p₂) ± z(c) *  √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

CI = 0,0134 ± √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

CI = 0,0134 ± 0,0221

CI = ( - 0,0087 ; 0,0355)

CI  contains  0 meaning that difference between the groups could be 0

Therefore we can conclude that  proportion on both groups are different. We can´t reject H₀

We need to calculate z(s)

z(s) = [ p₁ - p₂ ] / √ p*q * ( 1/n₁  +  1 / n₂ )

p = (x₁ + x₂ ) / n₁ + n₂

p = ( 87 + 74 ) / 546 + 508

p = 0,1527      then   q = 1 - 0,1527    q = 0,8473

z(s) = [ 0,159 - 0,1456] / √ 0,1527*0,8473 ( 1/546   + 1 / 508 )

z(s) = 0,0134/ √0,1294 ( 0,0018 + 0,00196 )

z(s) = 0,0134/ √0,1294 ( 0,0038)

z(s) = 0,0134/ 0,0221

z(s) = 0,61

p-value for  z(s) = 0,61      p-value = 0,7291

p-value > 0,05

As p-value is bigger than 0,05 we have to accept H₀. We don´t have enough evidence to claim any difference between the two groups

inital weight = 50 kg

Final weight = 41 kg

loss = 50 - 41 = 9 kg

Answer: What is the value of k in the equation k/3-5=34

Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117

Answer:

k = 117

Step-by-step explanation:

I was just learning this in class...

So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!

The difference in distance between the two round trips 2.4 miles.

The length of the line segment connecting the two sites is used to measure distance between them. The shortest line segment between a point and a line will have a length equal to the distance between them.

The x-coordinate, often known as the abscissa, is a point's separation from the y-axis.

Now, total joe walked the distance is

\(\sqrt{3.6^{2}+1.5^{2} }\)=3.9 miles

and on the daily basis he usually walks

3.6+1.5=5.1 miles

So, the difference in the distance in first trip

5.1-3.9=1.2 miles

and thus the difference in the distance in two round trips will be

1.2×2=2.4 miles.

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Answer:

Your vertical has 2 answers, -3 and 5.

There is no horizontal because the lines connect at the origin

Answer:

Area of triangle formula is ;

\( \frac{1}{2} bh\)

The coordinates of the initial and terminal points on the vectors \(\vec{a}\) and \(\vec{b}\) on the graph indicates;

A) The vector \(\vec{a}\) is; (-2, -2)

B) The vector \(\vec{b}\) is; (5, -5)

C) -3·a + 2·b = (16, -4)

D) a·b = 0

A vector is a quantity that has magnitude and direction.

A) The vector component form of the vector a \(\vec{a}\) is found from the difference between the coordinates of the starting and terminal points as follows;

(-6 - (-4), 3 - 5) = (-2, -2)

B) The vector component form of the vector b \(\vec{b}\) can be found from the difference between the initial and terminal points as follows;

\(\vec{b}\) = (6 - 1, (-6 - (-1)) = (5, -5)

C) The vector -3·a + 2·b can be found by finding the relative component of each vector as follows;

The components of the vector a is; -3 × (-2, -2) = (6, 6)

The components of the vector b is; 2 × (5, -5) = (10, -10)

Therefore; -3·a + 2·b = -3 × (-2, -2) + 2 × (5, -5) = (6, 6) + (10, -10)

(6, 6) + (10, -10) = (16, -4)

D) The dot product of the two vectors can be found from the multiplication of the corresponding product of the two vectors, which can be found as follows; a·b = (-2 × 5, -2 × -5) = -10 + 10 = 0

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The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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The original selling price of the kayak set, given the discounts, would be $ 520. 63

The kayak is being sold such that a discount was offered of 10 % and then an additional discount was offered for 30 %.

The first step to the original price is:

= 328 / ( 1 - 30 %)

= 328 / 0. 70

= $ 468. 57

Then, the original price, would then account for the original discount of 10 % to become:

= 468. 57 / ( 1 - 10 %)

= 468. 57 / 0. 90

= $ 520. 63

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The solution to the equation is x = 10 or x = -2.

An equation refers to a mathematical expression showing that two expressions are equal.

It must have variables (e.g. a, c, x, y), constants (like 1, 13, 50, etc), and mathematical operations (like +, -, *, /).

To solve for x, we shall start with the given equation:

x + 6 = √(2x + 29) + 9

Subtract 9 from both sides:

x - 3 = √(2x + 29)

Square both sides:

\((x - 3)^2\) = 2x + 29

Expand the left side:

\(x^2\) - 6x + 9 = 2x + 29

We then subtract 2x and 9 from both sides:

\(x^2\) - 8x - 20 = 0

Next, actor the quadratic equation:

(x - 10)(x + 2) = 0

Therefore, the equation x = 10 or x = -2

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Answer:

(0,10)

Step-by-step explanation:

Answer:

(0,10)

Step-by-step explanation:

See picture

Answer:

2x+13=1, Given.

2x+1=3, multiplied both sides by 3.

2x=2, subtracted 1 from both sides.

x=1, divided both sides by 2.

NOTE: Your school may use special names for all of those proofs. If so, I don't know what they are. Sorry.

Step-by-step explanation:

For the first non-given statement, everything is over 3. A simple law of fractions is that the top number/s is being divided by the bottom, so all we need to do to reverse it is multiply it all by 3. This includes the other side.

For the second, it begins to get much easier as we've past the hardest step. Subtracting 1 from both sides gets us 2x = 2.

For the third, it is again easier. All that's left is to divide by 2 because that's what x is being multiplied by. After we do that, x turns out to be 1.

Answer:

a = 37 y = 100

Step-by-step explanation:

Think of the inverse operation of addition which is subtraction. Then you can guess and check and see what fits where. The letters are just placeholders so I took the given number and added it to the answer to get the answers for the blanks.

Cheers!

The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Answer: \(y=\frac{-2}{3}x+2\)

Step-by-step explanation:

In slope-intercept form y is isolated

So Let's solve for y.

\(2x+3y=6\)

Step 1: Add -2x to both sides.

\(2x+3y+-2x=6+-2x\\3y=-2x+6\)

Step 2: Divide both sides by 3.

\(\frac{3y}{3} =\frac{-2x+6}{3} \\y=\frac{-2}{3}x+2\)