Answer:
3x + 70 − 7x ≥ 18
Step 1: Simplify both sides of the inequality.
−4x + 70 ≥ 18
Step 2: Subtract 70 from both sides.
−4x + 70 − 70 ≥ 18 − 70
−4x ≥ −52
Step 3: Divide both sides by -4.
−4x
/−4 ≥ −52
/−4
x ≤ 13
Cosine is 
.
Apply the equation:
B is the adjacent side so
cosine is:
Cos(t) = 5/2
Have a great day,
And I hope this helps you!
Answer:
The length is 2.5 units
Step-by-step explanation:
Before we find the value of the length of the side, we need the measure of the coordinates after dilation
B’ = 1/2 B = 1/2(3,2) = (1.5, 1)
C’ = 1/2 C = 1/2( 0,-2) = (0,-1)
The measure of the length is the distance between the two points
Mathematically, that would be;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(0-1.5)^2 + (-1-1)^2
D = √(2.25 + 4)
D = √6.25
D = 2.5 units
Answer:
42 ft²
Step-by-step explanation:
Rectangle Area: L * W
Hello there! We are talking about 86 being part of a number, so we are looking for the whole. To find the number we are looking for, we can write and solve a proportion. Set it up like this:
86/x = 45/100
86 is 45% of a number. We know the part, so now we are looking for the whole. 45% is part of 100%, so we put that part together. Cross multiply the digits. 100 * 86 is 8,600. 45 * x is 45x. That simplifies to 8,600 = 45x. Now, divide each side by 45 to isolate the x. 45x/45 cancels out. 8,600/45 is 191.1111111 or 191 1/9 in fraction form. There. x = 191 1/9 86 is 45% or 191 1/9
Note: Or, if you have to round to the nearest whole number, the answer is 191, or if you have to round to the nearest tenth, the answer is 191.1. It all depends on if the answer needs to be rounded or exact.
