Answer:
Step-by-step explanation:
Consider the figure as 3 parts: semicircle with radius of 4 in, rectangle with 7x9 in and rectangle 6x14 in.
<u>Area of semicircle:</u>
- A = 1/2*πr² = 1/2*3..14*4² = 25.12 in²
<u>Area of rectangles:</u>
- 7*9 = 63 in²
- 6*14 = 84 in²
<u>Total area:</u>
- 25.12 + 63 + 84 = 172.12 in²
y = 150(8 x 12)
y = 14,400
The store ordered a total of 14,400 ounces of soap.
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25
"Table World" is quoting a better price
<u>Step-by-step explanation:</u>
The shop "Table World" is quoting a price of 140 inclusive of 17.5% VAT
that means 140 is the final price a customer needs to pay.
While other shop"Tables R us" is quoting a price of 120 without VAT
so we need to add VAT in the price to find out the final price
price+VAT on the price
=120+120*(17.5/100)
=120+120*0.175
=120+21
so final price =141
so comparatively "Table World" is quoting a better price
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>

In the given equation,
is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of
. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-29) and solve for b

Simplify -6 and 2

Add 15 to both sides to isolate b

Therefore, the y-intercept is -14. Plug this back into
:

I hope this helps!