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2 years ago

10

Which statement best explains the relationship between lines FG and HJ?

2 answers:

Svetach [21]2 years ago

6 0

Answer:

d

Step-by-step explanation:

lol

Taya2010 [7]2 years ago

5 0

Answer:they are not perpendicular because their slopes are not negative reciprocals.

Step-by-step explanation:

FG’s slope is 3/4 while HJ’s slope is 2/3. i just had this question on my test lol

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Workers need to know the area of a park to determine how much grass seed to order. A worker drew a sketch of the park to find it

MatroZZZ [7]

The area of the park is 1465m squared, because you would find the area of the square first which is 100m squared and then you would add that to the area of the trapezoid which is 1365m squared and after you add them, you would get 1465m squared. I’m still not sure if this is the exact answer but please check it over to see if I did it correct :)

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2 years ago

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if the survey, 9/25 of students ride the bus to school and 19/50 walk to school. what fraction of students ride the bus or walk

Elena-2011 [213]

1. $\dfrac{9}{25}$ of students ride the bus to school. Note that

$\dfrac{9}{25}=\dfrac{9\cdot 2}{25\cdot 2}=\dfrac{18}{50}.$

2. $\dfrac{19}{50}$ of students walk to school.

3. The fraction of students that ride the bus or walk to school is

$\dfrac{18}{50}+\dfrac{19}{50}=\dfrac{18+19}{50}=\dfrac{37}{50}.$

Answer: the fraction of students that ride the bus or walk to school is $\dfrac{37}{50}.$

6 0

2 years ago

A rectangular solid with a square base has a volume of 5832 cubic inches. (Let x represent the length of the sides of the square

Aleks04 [339]

Answer:

a) 18 in x 18 in x 18 in

b) $S = 1944\ in2$

Step-by-step explanation:

a) Let's call 's' the side of the square base and 'h' the height of the solid.

The surface area is given by the equation:

$S = 2s^2 + 4sh$

The volume of the solid is given by the equation:

$V = s^2h = 5832$

From the volume equation, we have that:

$h = 5832/s^2$

Then, using this value of h in the surface area equation, we have:

$S = 2s^2 + 4s(5832/s^2)$

$S = 2s^2 + 23328/s$

To find the side length that gives the minimum surface area, we can find where the derivative of S in relation to s is zero:

$dS/ds = 4s - 23328/s^2 = 0$

$4s = 23328/s^2$

$4s^3 = 23328$

$s^3 = 23328/4 = 5832$

$s = 18\ inches$

The height of the solid is:

$h = 5832/(18)^2 = 18\ inches$

b) The minimum surface area is:

$S = 2(18)^2 + 4(18)(18)$

$S = 1944\ in2$

8 0

2 years ago

The value -2 is a lower bound for the zeros of the function shown below.

Juliette [100K]

Answer:

a) true

Step-by-step explanation:

The bottom-line numbers from synthetic division <em>alternate signs</em>, indicating that -2 is a lower bound. The given statement is true.

__

If the signs were all positive, it would indicate the proposed zero is an <em>upper bound</em>.

__

A graph shows all real zeros are greater than -2.

4 0

2 years ago

I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coin

artcher [175]

Answer:

40k + 35 cents

Step-by-step explanation:

Each quarter is worth 25 cents, each nickels is worth 5 cents and each dime is worth 10 cents.

Value of all quarters:

$25k$

Value of all nickels:

$5*(k+5)\\5k+25$

Value of all dimes:

$10*(2k+1)\\20k + 10$

The value of all coins in terms of k is:

$V=25k+5k+25+20k+10\\V= 40k +35\ cents$

All coins are worth 40k + 35 cents.

7 0

2 years ago

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