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3 years ago

Laura framed her rectangular garden with boards. She used 1 board on each side. The longer sides

Mathematics

1 answer:

Alex73 [517]3 years ago

8 0

Answer: D) 48.75

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle: length x width

Replacing with the values given and solving for A (area)

A= 7.5 ft x 6.5 ft =48.75 ft2

The area of the garden in square feet is 48.75. (option D).

Feel free to ask for more if needed or if you did not understand something.

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x2y - 2xy - 24y = y(x2 - 2x - 24) What is the completely factored form of x2y – 2xy – 24y? (xy + 4)(x – 6) xy(x + 4)(x – 6) y(x

likoan [24]

we are given

$x^2y-2xy-24y=y(x^2-2x-24)$

now, we can factor out right side term

$x^2-2x-24=x^2-6x+4x-6*4$

$x^2-2x-24=(x-6)(x+4)$

now, we can plug back

and we get

so,

$x^2y-2xy-24y=y(x-6)(x+4)$ .............Answer

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3 years ago

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Simplify the expression. Write your answer as a power. 8^10⋅8^4

topjm [15]

8^14 is the answer.

This is because since they both have the same base, the exponents could be added together if the numbers are multiplied together

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3 years ago

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17. Which of the following is TRUE? ( 5 points) a. The mean tells us, roughly, how much the data deviate from the average. b. Th

svp [43]

Answer:

c. The Mean of Normal Distribution is related to the average of the data set. The Standard deviation is related to data variation.

Step-by-step explanation:

(a) No, mean don't tell us how much the data deviate from the average, Standard deviation tells us. So, Option (a) is incorrect.

(b) No, mean is greatly affected by extreme values. But Median is good to measure central tendency when there is outlier present in data. So, Option (b) is also incorrect.

(c) Here Mean and Standard deviation are correctly defined. Hence, this is only the correct answer.

(d) No, It is the definition of mean not of Standard Deviation. So, this option is also incorrect.

Further, Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.

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3 years ago

For each pair figures, find the ratio of the area of the first figure to the area of the second. 14mm 7mm

Paraphin [41]

The ratio of the area of the first figure to the area of the second figure is 4:1

<h3>Ratio of the areas of similar figures </h3>

From the question, we are to determine the ratio of the area of the first figure to the area of the second figure

The two figures are similar

From one of the theorems for similar polygons, we have that

If the scale factor of the sides of two similar polygons is m/n then the ratio of the areas is (m/n)²

Let the base length of the first figure be ,m = 14 mm

and the base length of the second figure be, n = 7 mm

∴ The ratio of their areas will be

$(\frac{14 \ mm}{7 \ mm})^{2}$

$= \frac{196 \ mm^{2} }{49\ mm^{2} }$

$=\frac{4}{1}$

= 4:1

Hence, the ratio of the area of the first figure to the area of the second figure is 4:1

Learn more on Ratio of the areas of similar figures here: brainly.com/question/11920446

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2 years ago

(2x-7)^2 subtracted from 2

Zepler [3.9K]

Start with 2. Then subtract from it (2x - 7)^2.

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3 years ago