Answer:
Step-by-step explanation:
the longest length is always the hypotenuse
Use Pythagorean theorem
a^2+b^2=c^2
5^2+10^2=c^2
c=11.18
Note: if c=13 than it is a right triangle
since 11.18 not=13
not right triangle
Hello!
To find the Volume of the Rectangular Prism, you'll need to multiply all of the measurements together. So you'll need to multiply 7, 9, and 11 together.
V=7*9*11
First, you'll need to multiply 7 and 9. Once you've multiplied 9 and 7 together, you should have 63. Now you should multiply 63 and 11 together. Once you've multiplied 63 and 11 together, you should have a Volume of 693
You should have a Volume of 693m³
I hope this helps!
The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
Answer:P(2) = 2(2)³ - 2(2)²- 3
= 16 - 8 - 3
= 5
Remainder or value of P(2) = 5
Quotient = (2x³- 2x² - 3)/ x-2 = 2x² + 2x + 4
Step-by-step explanation:
Answer:
2/3 and -1/3
Step-by-step explanation:
We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.
The two numbers that are 1/2 units away from 1/6 will be:
1) 
2) 
Thus the two numbers are: 2/3 and -1/3