Answer:
x < 5
Step-by-step explanation:
<u>Step 1: Solve for x</u>
-8x + 18 > -22
-8x + 18 - 18 > -22 - 18
-8x / -8 > -40 / -8
<em><u>When dividing by negative, it flips the sign</u></em>
x < 5
Answer: x < 5
Answer:
FRACTION DECIMAL
1/5( 1*2/5*2=2/10) 0.2
3/10 0.3
1/2(1*5/2*5=5/10) 0.5
7/10 0.7
3/4(3*25/4*25=75/100) 0.75
<u><em>NOTE</em></u>: To conert a fraction into decimal, it is required that the denominator be changed into 10, 100, 1000 and so on..... By changing the denominator, we have to first select the appropriate number by which you will be able to convert it into 10, 100 or 1000, and you are also required to multiply that number with the denominator as well as numerator. In the first question, 1/5 we can convert the denoinator into 10, 100 or 1000 as the denominator is 5, whatever you choose, the answer will be correct, so, 1*2/5*2 gives 2/10. Since 10 has one zero, the decimal point moves one time towards the left, which gives 0.2. And you can do the rest according to this way, considering the number of zeroes.
Answer: it takes 6 weeks for them to have the same amount of stars (14 and 14)
Answer: The top of the Crane is 31 feet above the ground.
Step-by-step explanation:
When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = h/62
h = 62Sin30
h = 62 × 0.5
h = 31 feet
In this problem, you have to find the y- intercept of
. I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7
