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Sloan [31]
3 years ago
5

What is the LCM of 9 and 15?

Mathematics
2 answers:
xeze [42]3 years ago
8 0
It’s 45. B. Hope this helped!
Charra [1.4K]3 years ago
5 0

Answer:

B

Step-by-step explanation:

15+15=30

30/9=3 r3 doesn't work

30+15=45

45/9=5

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Evaluate the expression. 202 + 6(9 + 3)
andrew11 [14]

Answer:

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
If θ is an angle in standard position that terminates in Quadrant III such that tanθ = 5/12, then sinθ/2 = _____
babunello [35]

Answer:

sin θ/2=5√26/26=0.196

Step-by-step explanation:

θ ∈(π,3π/2)

such that

θ/2 ∈(π/2,3π/4)

As a result,

0<sin θ/2<1, and

-1<cos θ/2<0

tan θ/2=sin  θ/2/cos θ/2

such that

tan θ/2<0

Let

t=tan θ/2

t<0

By the double angle identity for tangents

2 tan θ/2/1-(tanθ /2)^2  = tanθ

2t/1-t^2=5/12

24t=5 - 5t^2

Solve this quadratic equation for t :

t1=1/5 and

t2= -5

Discard t1 because t is not smaller than 0

Let s= sin θ/2

0<s<1.

By the definition of tangents.

tan θ/2= sin θ/2/ cos θ/2

Apply the Pythagorean Algorithm to express the cosine of θ/2 in terms of s. Note the cos θ/2 is expected to be smaller than zero.

cos θ/2 = -√1-(sin θ/2)^2 = - √1-s^2

Solve for s.

s/-√1-s^2 = -5

s^2=25(1-s^2)

s=√25/26 = 5√26/26

Therefore

sin θ/2=5√26/26=0.196....

7 0
4 years ago
In an investigation of population density in Africa, it was found that the density was 15 people/km2. How many people would you
SpyIntel [72]

Answer:

31,500

Step-by-step explanation:

Multiply the population density by area to get the total population in an area

Density = 15 per km²

Area = 1500 x 1.4 = 2100 km²

Population in 2100 km² = 15 x 2100 = 31,500

7 0
2 years ago
What are all of the real roots of the following polynomial? f(x) = x4 - x3 - 13x2 + x + 12
leonid [27]

We can find roots by setting f(x) = 0 --> x^4 - x^3 - 13x^2 + x + 12 = 0.

Factoring f(x) to make things easier for us gives us (x - 1)(x + 1)(x - 4)(x + 3), which, equal to 0, gives us the ability to set each set of parentheses = 0.

x - 1 = 0 gives us x = 1.

x + 1 = 0 --> x = -1.

x - 4 = 0 --> x = 4.

x + 3 = 0 --> x = -3.

our roots are x = 1, -1, 4, and -3.

3 0
3 years ago
The equation y = 18x shows that Roz earns $18 for each hour she works.
trapecia [35]

The link leads to a single table, and that table doesn't show [ y = 18x ].

You're looking for a table in which each 'y'-value is
18 times the 'x'-value that's right next to it.

Good luck in your quest.


3 0
3 years ago
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