The what is the least common multiple of the denominators of the fractions

What times what equals 36 but also adds up to -9?

Virty [35]

-12 and 3 add up to -9 but multiply to 36.

8 0

3 years ago

X^lg(x)=100^x find x

Wittaler [7]

$x^lg(x)=100^x$

$X^lg(x)=100^x:x$ $|Solve \ for \ x|$

$|Use \ logarithms \ of \ both \ sides \ of \ the \ base \ 10|

$

$lg (x ^ lg (x)) = lg (100x)

$

$lg ^ 2 (x) = 2 + lgx$

$lg 2 ^ x-lg x -2 = 0$

$lg x = 2 x = 100$

$lg x = -1 x = \dfrac{1}{10} = 0.1$

3 0

3 years ago

surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo

balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

Tan(63°)*100m = h2 = 196.3m

Then the height of the aerial will be:

h2 - h1 = 196.3m - 160m = 36.3m

6 0

2 years ago

Explain how to add linear expressions

nata0808 [166]

Answer:

A linear expression is one that has a variable in it. Also, no variable is raised higher than a power of 1 or used as a denominator. So you can't divide by a variable. So if a linear equation is commonly expressed as "y= mx+b", a linear expression would be expressed as mx+b.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What are the common factors of 18 and 30? What do they represent?

Zolol [24]

Factor out 18.

The factors for 18 are as listed:

1, 2, 3, 6, 9, 18

Now factor out 30.

The factors for 30 are as listed:

1, 2, 3, 5, 6, 10, 15, 30

Now look at the factors that are both factors for 18 and 30.

So, the common factors are 2, 3, and 6.

5 0

3 years ago