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3 years ago

Using the least common denominator rename 3/5 and 1/20

Mathematics

2 answers:

irina1246 [14]3 years ago

6 0

Answer:

12/20 and 1/20.

Step-by-step explanation:

The least common denomiator between 3/5 and 1/20 is 20.

For the first equation, we multiply the numerator and denominator by 4 to get 12/20.

The second equation's denominator is already 1/20, so we can leave it as is.

The final answer is 12/20 and 1/20.

UkoKoshka [18]3 years ago

5 0

LCD is 20
3/5 -> 12/20
1/20 -> 1/20

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Solve using law of sines or law of cosines!

malfutka [58]

Answer:

Part 5) The length of the ski lift is $1.15\ miles$

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

$b=0.75\ miles$

$A=20\°$

$C=180\°-50\°=130\°$ ----> by supplementary angles

Find the measure of angle B

Remember that the sum of the interior angles must be equal to 180 degrees

$B=180\°-A-C$

substitute

$B=180\°-20\°-130\°=30\°$

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

substitute

$\frac{0.75}{sin(30\°)}=\frac{c}{sin(130\°)}$

$c=\frac{0.75}{sin(30\°)}(sin(130\°))$

$c=1.15\ miles$

Par 6)

see the attached figure with letters to better understand the problem

Applying the law of sines in the right triangle BDC

In the right triangle BDC 20 degrees is the complement of 70 degrees

$\frac{BC}{sin(70\°)}=\frac{x}{sin(20\°)}$

$BC=(sin(70\°))\frac{x}{sin(20\°)}$ -----> equation A

Applying the law of sines in the right triangle ABC

In the right triangle ABC 50 degrees is the complement of 40 degrees

$\frac{BC}{sin(40\°)}=\frac{x+15}{sin(50\°)}$

$BC=(sin(40\°))\frac{x+15}{sin(50\°)}$ -----> equation B

Equate equation A and equation B and solve for x

$(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m$

Find the value of BC

$BC=(sin(70\°))\frac{6.6}{sin(20\°)}$

$BC=18.12\ m$

therefore

The height of the tree is 18.12 m

5 0

4 years ago

Help me thanks Xxxxxxxxxx

34kurt

Answer:

A : 6.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

lisabon 2012 [21]

Answer:

9 cm

Step-by-step explanation:

In a parallelogram, opposite sides are equal.

RS = PQ

4x + 1 = 2x + 5

Now, to find the value of x,

Step1. Subtract 1 from both sides

4x = 2x + 5 - 1

4x = 2x + 4

Step 2: Subtract 2x from both sides

4x - 2x = 4

2x = 4

Step 3: Divide both sides by 2

x = 4/2

x = 2

PQ = 2x + 5

= 2*2 + 5

= 4 + 5

PQ = 9 cm

8 0

2 years ago

What is the opposite of the opposite of the opposite of -3.7?

MA_775_DIABLO [31]

The opposite would be 3.7

7 0

3 years ago

Read 2 more answers

<2 and <6 form what type of angle pair? A.linear pair B.vertical angles C.complementary angles D.supplementary angles

miss Akunina [59]

Answer:

<2 and <6 are complementary angles

Step-by-step explanation:

<2 and <3 are complementary angles since they add to 90

<3 and <6 are vertical angles so they are equal

<3 = <6

Replace <3 with <6

<2 and <6 are complementary angles

7 0

3 years ago

Read 2 more answers