Answer:
298-275 = 23 cm thus D) is the answer
Step-by-step explanation:
First Box:
length l = 9.5 cm
width w = 5 cm
height h = 7 cm
diagonal d = 12.8160056 cm
total surface area S_tot = 298 cm2
lateral surface area S_lat = 203 cm2
top surface area S_top = 47.5 cm²
bottom surface area S_bot = 47.5 cm²
volume V = 332.5 cm³
Second Box:
length l = 7.5 cm
width w = 5 cm
height h = 8 cm
diagonal d = 12.0519708 cm
total surface area S_tot = 275 cm²
lateral surface area S_lat = 200 cm²
top surface area S_top = 37.5 cm²
bottom surface area S_bot = 37.5 cm²
volume V = 300 cm³
I'll start 18 and 22 for you, and you should then be able to do the rest on your own!
For 18, what we literally do is apply the distance formula for all the points and add them up. For B to C, we get the distance between them to be
sqrt((x1-x2)^2+(y1-y2)^2)=sqrt((0-4)^2+(3-(-1))^2)=sqrt((-4)^2+4^2)=sqrt(16+16)=sqrt(32). Repeat the process for C to E, E and F, and F to B then add the results up to get your answer!
For 22, since the area of a rectangle is length*width (we know given the right angles and that the opposite sides are equal in how long they are), we can multiply 2 perpendicular lines, for example, BC and CE to get sqrt(32)*sqrt(8)=16 as the area
Yeah I’m pretty sure it’s d
Answer:
I think that it is already in lowest terms
Step-by-step explanation:
The weight of one foot of the steel pipe is 1.24 pounds or more accurately, 1.239905.... pounds.
This type of problem is solved using cross multiplication. You know the length (16.84 feet), and the weight (20.88 pounds), of the steel pipe. But what you do not know is the weight of one foot of the steel pipe. Since that is what we are solving for, the weight of one foot of the steel pipe will be our x variable.
This is how I set it up...
16.84 1
——— * ———
20.88 x
I came up with this equation. The length of the pipes I put in the numerator (top), and the weight I put in the denominator (bottom). Since 16.84 feet of a steel pipe weighs 20.88 pounds, 1 foot of a steel pipe weighs x pounds. After you have the equation set up you then move on to cross multiplication.
Step 1: Multiply the top number of the first fraction by the bottom number of the second fraction.
16.84*x= 16.84x
Step 2: Multiply the bottom number of the first fraction by the top number of the second fraction.
20.88*1=20.88
Step 3: Set the answers from step 1 and step 2 equal to each other.
16.84x=20.88
Step 4: Divide 16.88 on both sides so x is by itself.
16.84x 20.88
——— = ———
16.84 16.84
And after you divide on each side you have your answer which should be x=1.24
