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3 years ago

The two squares in the graph below are similar. Which sequence of transformations proves that the squares are similar?

Mathematics

1 answer:

Deffense [45]3 years ago

6 0

Answer:

Step-by-step explanation:

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A marching band is performing in a rectangular arrangement, with a width of $w$ people. The length consists of seven less people

Norma-Jean [14]

Answer:

There are 120 people in the marching band.

Step-by-step explanation:

Let no. of people in the band be x.

In the first rectangular arrangement,

Width of rectangle ( $w_{1}$ ) = w people.

Length of rectangle ( $l_{1}$ ) = (w-7) people

Therefore,

no. of people in the band(x) = Area of the rectangle = Product of width and Length

x = width $\times$ length

x = $w\times (w-7)$ (equation 1);

In the second rectangular arrangement,

Width of rectangle ( $w_{2}$ ) = (w-3) people.

Length of rectangle ( $l_{2}$ ) = (w-5) people

Therefore,

no. of people in the band(x) = Area of the rectangle = Product of width and Length

x = width $\times$ length

x = $(w-3)\times(w-5)$ (equation 2);

Therefore, from equation 1 and equation 2 , we get,

$w\times(w-7)=(w-3)\times(w-5)$

$w^{2}-7w=w^{2} - 8w + 15$

Therefore,

w = 15 (equation 3)

From equation 1 and equation 3, we get

x = $15\times(15-7)$

x = 120.

Therefore,

no. of people in the marching band = 120 people

8 0

3 years ago

How do I figure this problem 1/5 > d + 4/5

marissa [1.9K]

$\frac{1}{5}>d+\frac{4}{5}\ \ \ \ \ \ \ \ |subtract\ \frac{4}{5}\\\\\frac{1}{5}-\frac{4}{5}>d\\\\d$

7 0

3 years ago

In a box of 25 external hard disks, there are 2 defectives. An inspector examines 5 of these hard disks. Find the probability th

Salsk061 [2.6K]

Answer:

0.3667 or 36.67%

Step-by-step explanation:

The probability of getting at least 1 defective hard disk among the 5 (P(X>0)) is equal to 100% minus the probability of getting none defectives (1-P(X=0)).

If 23 out of 25 hard disks are non-defective, the probability is:

$P(X>0) = 1 -P(X=0)\\P(X>0) = 1 -\frac{23}{25}*\frac{22}{24} *\frac{21}{23} *\frac{20}{22} *\frac{19}{21}\\ P(X>0) = 0.3667=36.67\%$

The probability that there is at least 1 defective hard disk is 0.3667 or 36.67%.

8 0

3 years ago

What equality is shown above

Bogdan [553]

Answer: If you see this line solid its > or equal too this > with line underneath

If you see line broken it's only >

Y>_ - 1/4x+2

Step-by-step explanation:

Starts at 2 on y then next pt go down 1 and 4 to the right

6 0

3 years ago

If Ac={vt2/r) and vt=2 and r=2 find Ac a. 4 b. 2 C. 1 D. 8

ankoles [38]

given: $Ac=\frac{vt2}r \quad vt=2 \quad r=2$

$\therefore Ac=\frac{(2)2}{2}=2$

5 0

3 years ago