Which shape has the greatest number of lines of symmetry

Se tiene un rectángulo cuya base mide el doble que su altura y su área es 12

irina [24]

Answer:

Part 1) The perimeter is $P=6\sqrt{6}\ cm$

Part 2) The diagonal is $d=\sqrt{30}\ cm$

Step-by-step explanation:

The question in English is

You have a rectangle whose base is twice the height and its area is 12

square centimeters. Calculate the perimeter of the rectangle and its diagonal

step 1

Find the dimensions of rectangle

we know that

The area of rectangle is equal to

$A=bh$

$A=12\ cm^2$

so

$bh=12$ ----> equation A

The base is twice the height

so

$b=2h$ ----> equation B

substitute equation B in equation A

$(2h)h=12\\2h^2=12\\h^2=6\\h=\sqrt{6}\ cm$

Find the value of b

$b=2\sqrt{6}\ cm$

step 2

Find the perimeter of rectangle

The perimeter is given by

$P=2(b+h)$

substitute

$P=2(2\sqrt{6}+\sqrt{6})\\P=6\sqrt{6}\ cm$

step 3

Find the diagonal of rectangle

Applying the Pythagorean Theorem

$d^2=b^2+h^2$

substitute

$d^2=(2\sqrt{6})^2+(\sqrt{6})^2$

$d^2=30$

$d=\sqrt{30}\ cm$

3 0

3 years ago

a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c

alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

$x+y=28000$

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

$0.07x+0.09y=2200$

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

$(0.07x+0.09y)*100=2200*100\\7x+9y=220000$

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

$y=28000-x$

$7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000$

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0

2 years ago

Gift economies consist of situations were goods and services are exchanged without an expected or immediate return. 1) True 2) F

Liono4ka [1.6K]

Answer:

False

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Consider that a data set of 10 data points has a mean of 5. If every data point was doubled in the set, how might that affect th

Vesnalui [34]

Answer:

A) The mean would double to 10.

4 0

3 years ago

-The terminal side of the angle contains the following point. Find the values of the six trigonometric functions for the followi

bearhunter [10]

Answer: see attachments

Step-by-step explanation:

Use Pythagorean Theorem to find the missing side (x² + y² = h²)

Use the following formulas to find the trig functions:

$sin\theta=\dfrac{y}{h}\qquad \qquad csc\theta=\dfrac{h}{y}\\\\\\cos\theta=\dfrac{x}{h}\qquad \qquad sec\theta=\dfrac{h}{x}\\\\\\tan\theta=\dfrac{y}{x}\qquad \qquad cot\theta=\dfrac{x}{y}$

4 0

3 years ago