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3 years ago

9

The yard behind the cindy s house is rectangular in shape and has a perimeters of 72 feet . If the length l of the yard is 18 fe

et long than the windth w of the yard , what is the area of the yard ,in the square feet.

1 answer:

Mariulka [41]3 years ago

6 0

<span>the area is 243 square feet.</span>

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ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -

Dima020 [189]

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of B are (-5,-7).

If ABC is reflected across x = 1, then

$(x,y)\rightarrow(1-(x-1),y)$

$(x,y)\rightarrow(2-x,y)$

$(-5,-7)\rightarrow(2+5,-7)$

$(-5,-7)\rightarrow(7,-7)$

If ABC is reflected across y =-3.

$(x,y)\rightarrow(x,-3-(y-(-3)))$

$(x,y)\rightarrow(x,-6-y)$

$(7,-7)\rightarrow(7,-6-(-7))$

$(7,-7)\rightarrow(7,1)$

Therefore option C is correct.

8 0

3 years ago

#2) A lifeguard is swimming to a drowning swimmer. The lifeguard's location is at

Ulleksa [173]

Answer:

<h3>9.43</h3>

Step-by-step explanation:

The formula for calculating the distance between two points is expressed as

D =√(x2-x1)²+(y2-y1)²

Given the coordinates (0,0) and (8,5)

D = √(5-0)²+(8-0)²

D = √5²+8²

D = √25 + 64

D = √89

<em>D = 9.43</em>

<em>Hence the distance between the life guard and the swimmer is 9.43</em>

<em></em>

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3 years ago

A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated h

patriot [66]

Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.

5 0

3 years ago

Solve the equation 3+2/5x=11-2/5x using at least two different sequences of steps. Show your work for each step.

Rina8888 [55]

First combine like terms ,
5/5x=9/5x
move the variable which will cancel out because it is the same
5=9 is no solution sorry if i’m wrong lol

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2 years ago

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume = total volume - the volume on top

so,

total volume = 1/3 (base area)² h

= 1/3 (8*8)² * 12

= 16,384 mm³

volume on top = 1/3 (top base area)² h

= 1/3 (4*4)² * 6

= 512 mm³

finally: get the bottom volume:

bottom volume = total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

= 15,872 mm³

therefore,

the volume of the cut pyramid base = 15,872 mm³

5 0

3 years ago

Read 2 more answers