Answer:
Lacy is 13 and Jack is 52
Step-by-step explanation:
In 3 years their ages will add up to 71 so you have to subtract 6 as there are two of them to get 65. Lacy's age is represented by x and since Jack is 4 times older his age is represented by 4x. So added together their age is 5x. So 5x=65. Then 65/5=13. So 13=x. So Lacy is 13 and Jack is 52 as 13x4 is 52.
Answer:
To do this, you need to multiply out the expressions. This is a bit tedious, but remember like FOIL for binomials, for these trinomials you must multiply each term. If you need a step-by-step, I'd be happy to provide it. Let me know.
Once you have simplified the expression, you get
-x-9/2x-4
But, the problem stipulates that a must equal 1. We can equivalently factor out the negative sign and put it on the denominator with no change to write
x+9/-(2x-4) = x+9/-2x+4
So, seeing where each coefficient corresponds between the two expressions, you get a = 1, b = 9, c = –2, and d = 4.
Answer:
Step-by-step explanation:
The opposite side to angle B is 4. It is the line AC. AC is not connected in any way to <B
The adjacent side is one of the two sides making up <B. It is 3.
Tan(B) = opposite / adjacent
Tan(B) = 4/3
<B = tan-1(4/3)
<B = 53.13
Options were missing in the question;
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.
24 square inches
31 square inches
47 square inches
52 square inches
Answer:
24 square inches
Step-by-step explanation:
Given:
Diameter = 3 in
So we can say that;
Radius is half of diameter.
radius (r) = 
Slant height (l) = 5 in
We need to find how many square inches of paper do you need to make a cup.
Solution:
Now according to question we required to find the amount of paper used to make cup.
Also Water cup is shaped liked cone.
Hence we can say that the base of cone is not covered since it will remain open.
So we will use Lateral surface area of the cone to find the paper requirement.
Now we know that;
Lateral surface area of cone is equal to π times radius times slant height.
framing in equation form we get;
Hence We can say that 24 square inches of paper will be needed to make the cup.
