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3 years ago

A CD is shaped like a circle with a diameter of 12 cm. To the nearest centimeter, what is the circumference of the CD?

Mathematics

2 answers:

emmainna [20.7K]3 years ago

4 0

Answer:

38 cm

Step-by-step explanation:

Circumference is given by

C = pi *d

C = pi *12

C = 3.14 * 12

C=37.68

Rounding to the nearest cm

C = 38

natima [27]3 years ago

4 0

Answer:

38 cm

Step-by-step explanation:

The circumference is found by pi*diameter.

pi*12=37.6991118431, rounded up is 38

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A laptop is on sale for 45% off the regular price. If the sale price is $299.75, what was the original price?

Wewaii [24]

The original price of the laptop is calculated as $545

<h3>How to find the original Price?</h3>

We are given;

Sales Price of Laptop = $299.75

Now, the laptop is on sale for 45% off regular price.

If original price is x, then we can express that;

(100% - 45%) * x = 299.75

Thus;

55%x = 299.75

0.55x = 299.75

x = 299.75/0.55

x = $545

Thus, the original price of the laptop is calculated as $545

Read more about Original Price at; brainly.com/question/7459025

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6 0

1 year ago

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, = 6 centime

Bingel [31]

Answer:

Part A) see the explanation

Part B) see the explanation

Part C) The perimeter of trapezoid ABCD is 32 centimeters and the perimeter of trapezoid EFGH is 48 centimeters

Step-by-step explanation:

<u><em>The complete question is</em></u>

The isosceles trapezoids, ABCD and EFGH, are similar quadrilaterals. The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

Part A) Write a similarity statement for each of the four pair of corresponding sides

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional

The corresponding sides are

AB and EF

BC and FG

CD and GH

AD and EH

$\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Part B) Write a congruence statement for each of the four pair of corresponding angles.

we know that

If two figures are similar, then its corresponding angles are congruent

The corresponding angles are

∠A and ∠E

∠B and ∠F

∠C and ∠G

∠D and ∠H

∠A ≅ ∠E

∠B ≅ ∠F

∠C ≅ ∠G

∠D ≅ ∠H

Part C) Determine the perimeter for each of the isosceles trapezoids

we have

The scale factor between the trapezoids is 2:3, GH = 6 centimeters, AD = 8 centimeters, and AB is three times the length of DC

step 1

Find the measure of CD

Remember that

The ratio between corresponding sides is proportional and this ratio is the scale factor

Let

z ----> the scale factor

$z=\frac{2}{3}$

$\frac{2}{3}=\frac{CD}{GH}}$

we have

$GH=6\ cm$

substitute

$\frac{2}{3}=\frac{CD}{6}}\\\\CD=4\ cm$

step 2

Find the measure of AB

Remember that

AB is three times the length of DC

$AB=3DC$

$DC=CD=4\ cm$

substitute

$AB=3(4)=12\ cm$

step 3

Find the measure of BC

Remember that in an isosceles trapezoid, the legs are equal

BC=AD

we have

$AD=8\ cm$

therefore

$BC=8\ cm$

step 4

Find the perimeter of trapezoid ABCD

$P=AB+BC+CD+AD$

substitute the values

$P=12+8+4+8=32\ cm$

step 5

Find the perimeter of trapezoid EFGH

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ---> the scale factor

x ----> the perimeter of trapezoid ABCD

y ----> the perimeter of trapezoid EFGH

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$x=32\ cm$

substitute

$\frac{2}{3}=\frac{32}{y}$

$y=32(3)/2=48\ cm$

therefore

The perimeter of trapezoid EFGH is 48 centimeters

3 0

3 years ago

Find the domain and range with a vertex of (1,-2)

klemol [59]

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

3 0

2 years ago

49/10 as a mixed number

Anni [7]

⇒ $\frac{49}{10}$

$\frac{49}{10}$ is a improper fraction.
$\frac{49}{10}$ as a mixed number would be 4 $\frac{9}{10}$

⇒10 x 4 = 40
⇒40 + 9 = 49

$\frac{49}{10}$ = 4 $\frac{9}{10}$

⇒ANSWER = 4 $\frac{9}{10}$

7 0

3 years ago

Read 2 more answers

If 2x+7=12, find the value of 2x+10

Tju [1.3M]

Answer:

x = 5

Step-by-step explanation:

divide both sides by 2

4 0

3 years ago

Read 2 more answers