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3 years ago

Parallel lines are preserved in which of the following types of transformations?

Mathematics

1 answer:

dedylja [7]3 years ago

5 0

Answer:

The answer should D) I, II, and III

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A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The lengt

lyudmila [28]

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22 ---- OK

4 0

2 years ago

The cost of a new laptop is $750 which generates a sales tax amount of 37.50. What is the sales tax rate.

viva [34]

Answer:

5 percent.

Step-by-step explanation:

Divide tax by the cost to see the percentage of the tax.

750/37.50=0.05

5 percent.

4 0

3 years ago

Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale

valkas [14]

Answer:

The specific weight is $1.5\frac{g}{cm^{3}}$

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

we have

$LA=255\pi\ cm^{2}$

$l=17\ cm$

substitute the values

$255\pi=\pi r(17)$

Simplify

$255=r(17)$

$r=255/(17)=15\ cm$

step 2

Find the height of the cone

Applying the Pythagoras Theorem

$l^{2} =r^{2} +h^{2}$

substitute the values and solve for h

$17^{2} =15^{2} +h^{2}$

$h^{2}=17^{2}-15^{2}$

$h^{2}=64$

$h=8\ cm$

step 3

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2}h$

substitute the values

$V=\frac{1}{3}\pi (15)^{2}(8)$

$V=600\pi\ cm^{3}$

step 4

Find the specific weight

Divide the mass by the volume

$\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}$

4 0

3 years ago

(2x + 3y) + (4x - 3y) = 11+(-5)

Maurinko [17]

Answer:

The correct option should have been $6x=6$ .

Step-by-step explanation:

Given the expression

$\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)$

solving the expression

$\left(2x\:+\:3y\right)\:+\:\left(4x\:-\:3y\right)\:=\:11+\left(-5\right)$

Remove parentheses: (a) = a

$2x+3y+4x-3y=11-5$

Group like terms

$3y-3y+2x+4x=11-5$

Add similar elements

$6x=6$

It is clear that not a single given option is $6x=6$ . It means no option is correct. It seems you mistyped the correct options.

The correct option should have been $6x=6$ .

3 0

2 years ago

Pls help me it's due today

Dimas [21]

Answer:

r³ + 15r² - 10r - 4

Step-by-step explanation:

First, note you can remove the brackets, in this case they contribute nothing at all.

Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.

Finally, order them from greatest power of r to smallest power of r.

That's all!

8 0

3 years ago

Parallel lines are preserved in which of the following types of transformations?​

Parallel lines are preserved in which of the following types of transformations?