42 feet to 6 feet can be written as both ratio and a fraction:
42:6
42/6
If we look at the fraction, we can clearly see that we can simplify it:
42/6 = 7/1 = 7
So we can write the ratio in its lowest terms as 7:1.
7 <span> more than 3 times a number </span>
<span>more than is code for + </span>
<span>times is multiply </span>
<span>so 7+3n=31 </span>
<span>solve: </span>
<span>3n=24 </span>
<span>n= 8</span>
Answer:
50
Step-by-step explanation:
The figure represents a 30-60-90 special triangle
in this special right triangle the measure of sides lengths is represented by
a, a, and 2a
The side length that sees angle measure 30 is represented by a and here we see a = 50m
The height of the building, which sees angle measure 60, is equal to
50
The value of x will be equal to 4√6. The correct option is B.
<h3>What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
The value of side x will be calculated by using the angle properties.
SIn( 45 ) = P / H
Sin (45) = 12 / H
H = 12 / ( 1 / √2) = 12√2
Again using the angle property for finding the value of x.
tan30 = P / B
x = tan30 x B
x = ( 1 / √3 ) x 12√2
x = 4√6
Therefore, the value of x will be equal to 4√6. The correct option is B.
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Answer:
C
Step-by-step explanation:
If you would recall one of the laws of exponents, when dividing powers of the same base you subtract their exponents. So for this expression:
6⁷ ÷ 6⁵ = 6^(7-5) = 6² =36
