Step-by-step explanation:
Have godd lesson :))))
Answer:
TP: 13
Step-by-step explanation:
A=((b1+b2)/2)*h
100=((8+32)/2)*h
100=(40/2)*h
100=20h
h=5
A=8*5+((32-8)/2)*0.5*5*2
100=40+(24/2)*5
60=12*5
thus, point E is is 12 away from T
Triangle TPE:
the catets are TE:12 and PE:5
Lets use the Pythagorean theorem:
a^2+b^2=c^2
12^2+5^2=c^2
144+25=c^2
169=c^2
c=(+/-)13
since distance can only be positive, the answer is:
segment TP has the length of 13 units
I will mark you brainly Answer the following questions. Questions What is an amount between $2 and $10? (A) __________ What is an amount between $10 and $20? (B) __________ What is an amount greater than $50? (C) __________ What is your name? (D) _________________ What is the name of an item that you will buy only once? (E) _________________ What is the name of an item that you will buy more than once? (F) _________________ Create a word problem that leads to an inequality by filling in the blanks with your corresponding answers. Word Problem (D) _________________ is going shopping for (E) _________________ and (F) _________________. The cost of (E) _________________ is (B) __________ and the cost of each (F) _________________ is (A) __________. If (D) _________________ can spend at most (C) __________, how many (F) _________________ can be purchased? Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line. Explain what the solution means in the context of the word problem.
Volume of a cylinder= (height) x area of the base (circle)
We know the height = 160 cm (given), let's find the radius of the base.
The circumference of the base = 87.92 = 2πR==> R=87.92/(2π) =13.993 cm
Area of circle = πR²=π(13.993)² = 615.128 cm²
Hence the volume of the cylinder = 615.128 x 160 = 92,420.48 cm³
The equation of the line is y = 2x + 1