A gardener has 840 feet of fencing to fence in a rectangular garden. One side of the garden is bordered by a
river and so it does not need any fencing.
river
garden
What dimensions would guarantee that the garden has the greatest possible area?
shorter side:
ft (feet)
longer side:
ft (feet)
ft2 (square feet)
greatest possible area:
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The decimal cannot be rounded. It is already rounded to the nearest hundredth.

Answer:

-36

Step-by-step explanation:

See image below:)

Answer:

x = -36

Step-by-step explanation:

subtract 'x' from each side to get:

-18 = 2x + 54

subtract 54 from each side to get:

-72 = 2x

x = -72/2

x = -36

Answer:

33/55

Step-by-step explanation:

Total applicants, n(T) = 350

Female applicants, n(F) = 158

Female and Graduate applicants, n(FnG) = 66

Graduates, n(G) = 110

Probability of female Given that applicant has graduate degree; this is a conditional probability problem;

Recall :

P(A given B) = P(A|B) = P(AnB) / P(B)

Therefore ;

P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55

Answer:

18 GIRLS

Step-by-step explanation:

1. Lets write a fraction (4 boys/12 girls)

[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]

2. Now lets plug the value in

[tex]\frac{6 \\boys}{x girls}[/tex]

3. In the original equation, the amount of girls is 3 times the amount of boys

4. multiply 6 and 3 = 18

5. 18 girls

Answer:

18 <3

Step-by-step explanation:

Answer:

333..%

Step-by-step explanation:

Answer:

| PQ | = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]

Here PQ = 4i + 3j + 2k , then

| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]

Answer:

4t - 3y

Step-by-step explanation:

8t - 3y - 4t

8t - 4t - 3y

4t - 3y

7t +(-3t) - 3y

7t - 3t - 3y

4t - 3y

Answer:

These expressions are equivalent, as both of them simplify down to (4t - 3y).

Step-by-step explanation:

In order to determine if (8t - 3y - 4t) is equivalent to (7t + (-3t) - 3y) one must simplify each equation. Combine like terms by performing the operations between the coefficients of the variables.

8t - 3y - 4t

= 4t - 3y

7t + (-3t) - 3y

= 7t - 3t - 3y

= 4t - 3y

Answer:

Z-value is what we called the number of standard deviations from the mean.  62% is 8% one standard deviation to the left, or a Z-value of -1.  94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three.  You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%

Step-by-step explanation:

Please mark me as brainlist

Answer:

(x + 7)^2 + (y + 3)^2 = 4

Step-by-step explanation:

The standard equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center and r is the radius. We can substitute the information given to obtain:

(x + 7)^2 + (y + 3)^2 = 4

answer:

ABCD is not congruent to KLMN

ABCD cannot be mapped onto KLMN

Answer:

4+1=5(0+1)

Step-by-step explanation:

The formula is y2-y1=slope(x2-x1)

Find the slope by using the formula y2-y1/x2-y1.

Step-by-step explanation:

Let X be the number of guilty defendants in Japan

Let y be the number in the US

we have n = 4

p = 0.95

a.) prob of trials in Japan

p(x=4)

= 0.95⁴

= 0.8145

prob of trials in US

p(X=4)

= 0.60⁴

= 0.1296

B. expected number in Japan

E(X) = n*p

= 4*0.95

= 3.8

we find the variance

= n*p(1-p)

= 4*0.95(1-0.95)

= 0.19

standard deviation for japan

= √0.19

= 0.4359

expected number for US

E(X) = n*p

= 4*0.60

= 2.4

we find the variance

= n*p(1-p)

= 4*0.60(1-0.6)

= 0.96

standard deviation for US

= √0.96

= 0.979

c. 2*4 = 8

Answer:

k>1.25

Step-by-step explanation:

The given quadratic equation is :

(k – 1)x² + x + 1 = 0

We need to find all values of k for which the above equation has two real and unequal roots.

For a quadratic equation ax²+bx+c=0, for real and unequal roots,

b²-4ac>0

Here, a = (k-1), b = 1 and c = 1

Put all the values,

1²-4×(k-1)1>0

1-4k+4>0

5-4k>0

k>1.25

S, k can take values more than 1.25. Hence, it can take values 1.5, 1.75.

Answer:

A. 14 Sq.cm

Step-by-step explanation:

The area of the circle is 56 cm Sq.

Half of it is 28 Sq.cm

If you combine the 2 triangles it will make an area of 7sq.cm

then the Curved shaded part is also 7sq.cm together of the shaded part will create a quarter of the whole figure

So

56/4 Sq.cm

= 14Sq.cm

Thank you!!

Mark me as brainliest :>>>

Answer:

x = 100

Step-by-step explanation:

180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100

123 = x+ 23

-23 + 123 = x

100 = x

x = 100

sorry, i'm really bad at explaining

180 degree angles when added

180-57 (for known angle)= 123

x+23=123<- we need to take off the all known angles to get x

123-123=100

x=100 is the answer

I hope this is gelpful for u

Answer:

Step-by-step explanation:

Answer:

7. 190

8. C

9. A

10. ~66% (not sure about this one though)

Step-by-step explanation:

Answer:

$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

Step-by-step explanation:

Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:

4 x 2 = 8

3.5 x 2 = 7

1500 x 0.08 + 1500 x 0.07 = 225

1400 x 0.08 + 1600 x 0.07 = 224

100 x 0.08 + 2900 x 0.07 = 211

500 x 0.08 + 2500 x 0.07 = 215

Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:

  x/3 = 7.5/4.5

  x = 3(7.5/4.5) . . . . multiply by 3

  x = 5

Answer:

im pretty sure the answer is D. let me kno if im right

Answer:

Step-by-step explanation: 16 ft 7 in, I correctly believe:

Answer:

Step-by-step explanation:

17

Answer: The missing angle is 32 degrees.

Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180

Hope this helps! :)

========================================================

Explanation:

Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.

You can think of it like

price = constant + (mileage coefficient)*(mileage)

The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.

answer in picture

stay safe (..

Answer:

Hello There!!

Step-by-step explanation:

Reading gives the required time interval.Some precise stopwatches are electronically connected to the time event.Therefore, making it more accurate.

hope this helps,have a great day!!

~Pinky~

Answer:

zero

Step-by-step explanation:

The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.

The regression line is expressed as:

[tex]Y_i = a +bx_i[/tex]

where;

[tex]Y_i[/tex] = dependent variable

a = intercept

b = slope

[tex]x_i[/tex] = independent variable

So, when [tex]Y_i[/tex] is independent of the variation of [tex]x_i[/tex], it means that [tex]Y_i[/tex] does not linearly depend on [tex]x_i[/tex] . Thus, the slope of the regression will be zero.

Answer:

The correct answer is "[tex]\frac{2}{7}[/tex]".

Step-by-step explanation:

According to the question,

Number of students,

= 35

A ! mid term A,

[tex]n(A) = 20[/tex]

B : final A,

[tex]n(B) = 13[/tex]

Didn't start,

[tex]n(A^c \cap B^c) = 12[/tex]

Now,

⇒ [tex]n(A \cup B)=35-12[/tex]

                   [tex]=23[/tex]

then,

⇒ [tex]n(A \cup B)=20+13-23[/tex]

                   [tex]=10[/tex]

hence,

The probability will be:

⇒ [tex]P(A \cap B)=\frac{10}{35}[/tex]

⇒                 [tex]=\frac{2}{7}[/tex]