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soldi70 [24.7K]
3 years ago
6

A 20 foot ladder is lean against a building. The foot of the ladder is 6 feet from the building. Find the

Mathematics
1 answer:
Vilka [71]3 years ago
6 0
Cos(theta) = adjacent/hypotenuse

cos(theta) = 6/20
cos(theta) = 0.3

Use the inverse cos or cos^-1 on your calculator to get the angle

theta = 72.5
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Find the radical equivalent of 27^2/3
Leno4ka [110]

Answer:

Step-by-step explanation:

Rewrite this expression as   (27^(1/3) )².  this is equivalent to:

( ∛27 )² or (∛27)(∛27).

If you wish to evaluate this expression, it is ( 3 )( 3 ) = 9.

6 0
3 years ago
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Ten times the sum of half a number and 6 is 8
nexus9112 [7]
Let the required number is 2x ,





According to the condition,



➡ 10 times the sum of half of 2x and 6 = 8

= > 10 \times ( \frac{2x}{2} + 6) = 8 \\ \\ \\ = > 10 \times (x + 6) = 8 \\ \\ \\ = > 10x + 60 = 8 \\ \\ \\ = > 10x = 8 - 60 \\ \\ \\ = > 10x = - 52 \\ \\ \\ = > x = - \frac{ 52}{10} \\ \\ \\ = > x = - 5.2



Therefore the value of x is -5.2


And, required number is -5.2
3 0
3 years ago
The temperature in Alaska can reach -30 degrees Fahrenheit during the winter months it is colder in Antarctica than in the Alask
Fofino [41]

Answer:

B. -40°F

Step-by-step explanation:

its- clearly lower than -30

4 0
2 years ago
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What is 9 5/6 - 2 1/3
Mariana [72]
9 5/6 - 2 1/3 is 7 1/2.

You could get this answer by finding the same denominator of the fractions. The LCM of both is 6. Multiply the 1 of the second fraction 2 times because you had to multiply the denominator 2 times to get to 6. 
You should have 2 2/6.

Now get 9 5/6 - 2 2/6.

The answer is 7 3/6, simplifies into 7 1/2.
9 5/6 - 2 1/3 is 7 1/2.


5 0
3 years ago
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Find all the zeros of the equation<br> -3x^4 + 27x^2 + 1200 = 0
guajiro [1.7K]

Answer:

\displaystyle x=-5,\ x=5,\ x=4i,\ x=-4i

Step-by-step explanation:

Biquadratic Equation

It's a fourth-degree equation where the terms of degree 1 and 3 are missing. It can be solved for the variable squared as if it was a second-degree equation, and then take the square root of the results

Our equation is

\displaystyle -3x^4+27x^2+1200=0

If we call y=x^2, our equation becomes a second-degree equation

\displaystyle -3y^2+27y+1200=0

Dividing by -3

\displaystyle y^2-9y-400=0

Factoring

\displaystyle (y-25)(y+16)=0

It leads to these solutions

\displaystyle y=25\ ,\ y=-16

Taking back the change of variable, we have for the first solution

\displaystyle x^2=25\Rightarrow x=-5,x=5

Now for the second solution, we get imaginary (complex) values

\displaystyle x^2=-16\Rightarrow x=4i,\ x=-4i

Summarizing, the four solutions for x are

\displaystyle x=-5,\ x=5,\ x=4i,\ x=-4i

5 0
3 years ago
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