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3 years ago

What is the surface area of the net of the rectangular prism?

Mathematics

1 answer:

swat323 years ago

8 0

Answer:

638.32 yd²

Step-by-step explanation:

The surface area of any figure can be found by calculating the area of all the sides and finding the sum. In a rectangular pyramid, there is a rectangular base (l x w) and the same two triangles on one side and another two identical triangles on the other side.

Area of rectangle: A = l x w

Area of a triangle: A = 1/2(b)(h)

Rectangle: 16 x 13.4 = 214.4 yd²

Bottom/top triangles: 14.1 x 16 = 225.6 yd²

Side triangles: 14.8 x 13.4 = 198.32 yd²

Total: 198.32 + 225.6 + 214.4 = 638.32 yd²

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NAND"" and ""NOR"" circuits are commonly used as a basis for flash memory chips. A NAND B is defined to be the negation of ""A a

Anit [1.1K]

Answer:

(i) A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

Since A ∧ B (the symbol ∧ means A and B) is true only when both A and B are true, its negation A NAND B is true as long as one of A or B is false.

Since A ∨ B (the symbol ∨ means A or B) is true when one of A or B is true, its negation A NOR B is only true when both A and B are false.

Below are the truth tables for NAND and NOR connectives.

(ii) To show that (A NAND B)∨(A NOR B) is equivalent to (A NAND B) we build the truth table.

Since the last column (A NAND B)∨(A NOR B) is equal to (A NAND B) it follows that the statements are equivalent.

(iii) To show that (A NAND B)∧(A NOR B) is equivalent to (A NOR B) we build the truth table.

Since the last column (A NAND B)∧(A NOR B) is equal to (A NOR B) it follows that the statements are equivalent.

6 0

3 years ago

ANSWER FAST GET 100 POINTS AND BRAINLIEST

klio [65]

The student with the most accurate description of the graph that represents Kate's movement is Tim

<h3>The student with the accurate description</h3>

From the graph that represents Kate's distance per minute, we have the following highlights:

Kate drives at an irregular speed for 2 minutes
Then she drives at a regular speed for 4 minutes
Then she stopped moving for the next 2 minutes

The student's description that matches the above highlights is Tim

Hence, the student with the most accurate description is Tim

Read more about distance-time graph at:

brainly.com/question/13877898

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3 0

2 years ago

Read 2 more answers

The sphere below has a radius of 2.5 inches and an approximate volume of 65.42 cubic inches.

Stells [14]

Part a: The radius of the second sphere is 5 inches.

Part b: The volume of the second sphere is 523.33 in³

Part c; The radius of the third sphere is 1.875 inches.

Part d: The volume of the third sphere is 27.59 in³

Explanation:

Given that the radius of the sphere is 2.5 inches.

Part a: We need to determine the radius of the second sphere.

Given that the second sphere has twice the radius of the given sphere.

Radius of the second sphere = 2 × 2.5 = 5 inches

Thus, the radius of the second sphere is 5 inches.

Part b: we need to determine the volume of the second sphere.

The formula to find the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Substituting $\pi=3.14$ and $r=5$ , we get,

$V=\frac{4}{3} (3.14)(125)$

$V=\frac{1580}{3}$

$V=523.3333 \ in^3$

Rounding off to two decimal places, we have,

$V=523.33 \ in^3$

Thus, the volume of the second sphere is 523.33 in³

Part c: We need to determine the radius of the third sphere

Given that the third sphere has a diameter that is three-fourths of the diameter of the given sphere.

Hence, we have,

Diameter of the third sphere = $\frac{3}{4} (5)=3.75$

Radius of the third sphere = $\frac{3.75}{2} =1.875$

Thus, the radius of the third sphere is 1.875 inches

Part d: We need to determine the volume of the third sphere

The formula to find the volume of the sphere is given by

$V=\frac{4}{3} \pi r^3$

Substituting $\pi=3.14$ and $r=1.875$ , we get,

$V=\frac{4}{3} (3.14)(1.875)^3$

$V=\frac{4}{3} (3.14)(6.59)$

$V=27.5901 \ in^3$

Rounding off to two decimal places, we have,

$V=27.59 \ in^3$

Thus, the volume of the third sphere is 27.59 in³

4 0

3 years ago

What is two-fifths of three-sevenths?

kompoz [17]

It's 6/35 because of means multiply and take numerator times numerator and denominator times denominator when you multiply fractions. 2 x 3 = 6 over 5 x 7 = 35. 6/35.

3 0

3 years ago

The surface area of a cube is 24 cm squared. What would the surface are of the prism be if each dimension were quadrupled?

kenny6666 [7]

CubeSA=6 squares
SA=6s^2
SA=24
24=6s^2
divide 6
4=s^2
2=s

quadrupled means times 4
2*4=8
8=new side
sub back
SA=6(8^2)
SA=6(64)
new SA=384 cm^2

6 0

3 years ago