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2 years ago

Find the LCM of 18 and 45 using prime factorizations.

Mathematics

2 answers:

Otrada [13]2 years ago

8 0

Answer:

Step-by-step explanation:

18/3

6/3

2/3

45/3

15/3

5/3

Take 5/3 and 2/3

5*3*2*3

Valentin [98]2 years ago

4 0

Answer:

The L.C.M. of 18 and 45 is 90.

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(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

8 0

3 years ago

Solve 15 and 21, will give BRAINLIST!!

xeze [42]

Answer:

Step-by-step explanation:

cross multiplication:

4*10=2*x

40=2x

x=40/2=20

6.8w=2(4.5)

6.8w=9

w=9/6.8=1.32352941

4 0

3 years ago

Read 2 more answers

How many meters did a fish swim in 8 minutes at a speed of s meters per minute?

ch4aika [34]

Answer:

Distance traveled by the fish = 8s meters

Step-by-step explanation:

Speed of a fish to swim = s meter per minute And formula used for the speed, Speed = s = Distance = s × time We have to find the distance covered by the fish in 8 minutes (t = 8 minutes) Therefore, Distance traveled by the fish = 8s meters

I Hope This Helps You! <3

5 0

3 years ago

Calvin had 30 minutes in time-out. For the first 23 1/3 minutes, Calvin counted spots on the ceiling. For the rest of the time,

scoundrel [369]

Answer: $\frac{20}{3}\ minutes$ or $6 \frac{2}{3}\ minutes$

Step-by-step explanation:

For this exercise you can convert the mixed number to an improper fraction:

1. Multiply the whole number part by the denominator of the fraction.

2. Add the product obtained and the numerator of the fraction (This will be the new numerator).

3. The denominator does not change.

Then:

$23\frac{1}{3}= \frac{(23*3)+1}{3}= \frac{70}{3}\ minutes$

You know that he had 30 minutes in time-out, he counted spots on the ceiling for $\frac{70}{3}$ minutes and the rest of the time he made faces at his stuffed tiger.