1. A polyhedron has 6 vertices and 9 edges. How many faces does it have? a. 3
b. 5
c. 7
d. 9
2. A polyhedron has 25 faces and 36 edges. How many vertices does it have?
a. 11
b. 12
c. 13
d. 14

Answers

Answer 1

Answer: V - number of vertices,
E - number of edges,
F - number of faces:
Euler`s polyhedron formula:
V - E + F = 2
1. F = E - V + 2
F = 9 - 6 + 2 = 5
Answer: A ) 5
2. V = E - F + 2
V = 36 - 25 + 2 = 13
Answer: C ) 13

Answer 2

Answer:

Answer: 1. B. 2. C. 3. D. 4. A. 5. A.

For the whole practice test :)

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What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?A.2 must be factored from 2x – 7 B.–4 must be factored from –4x2 + 2x C.x must be factored from –4x2 + 2x D.–4 must be factored from –4x2 – 7

Consider the type of equations 5x+y=31
-3x+4y=37
solve the first equation as y in terms of x
like y=.....

Answers

You just have to isolate the y term for both equations so the first one would be y=31-5x because you have to subtract x from both sides.

The second one would be y=3+3x and all of that over 4 because to get the y isolated, you have to add 3x to both sides and then divide by 4 to get 4 y to just be y.

Given:△ABC∼△DEF, ∠C is a right angle, AB=17, AC=15, BC=8, m∠B=62∘, DE=34, EF=16,and DF=30.What is the measure of ∠D?

Answers

Answer:

28°

Step-by-step explanation:

We can see the scale factor is 2 from the side lengths:

8→16, 15→30, 17→34

Corresponding sides are:

AB and DE
AC and DF
BC and EF

Corresponding angles are opposite to corresponding sides:

∠C≅∠F
∠A≅∠D
∠B≅∠E

m∠A = 90° - 62° = 28°

Therefore

m∠D = 28°

Answer: 28

Step-by-step explanation: Took the quiz!

David rowed a boat upstream for three miles and then returned to point he started from. The entire journey took four hours. The speed of the stream is one mile per hour. Find David's speed in still water. (Hint: speed = distance ÷ time, upstream speed = speed of the boat – speed of the stream, and downstream speed = speed of the boat + speed of the stream) David's speed in still water is ____ miles per hour.

Answers

To solve for the time it takes to travel a certain distance at a certain speed, use the formula,
time = distance / speed

Given that the entire journey takes four hours, add up the time it takes David to row upstream with that of him travelling downstream. This is mathematically represented as,

total time = time upstream + time downstream

4 = 3/(x - 1) + 3/(x +1)

Solving for x in the equation gives 2. Thus, David's speed in still water is 2 miles per hour.

A bakery offers a small circular cake with a diameter of 8 inches.It also offers a large circular cake with a diameter of 24 inches.Does the top of the large cake have three times the area of that the small cake?if not,how much greater is its area?Explain.

Answers

The difference in area between the large and small cakes is 128π square inches.

How to find the area of a circle?

Suppose the circle has radius of 'r' units, then, its area is given as:

$A = \pi * r^2$

sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

$\pi * ((d)/(2))^2 sq. units$

We are given that;

A bakery offers a small circular cake with a diameter =8 inches

A large circular cake with a diameter = 24 inches

Now,

For the small cake, the diameter is 8 inches, so the area is A = (π/4) × 8^2 = 16π square inches.

For the large cake, the diameter is 24 inches, so the area is A = (π/4) × 24^2 = 144π square inches.

To compare the areas, you can divide them by each other:

(144π)/(16π) = 9

This means that the large cake has 9 times the area of the small cake, not 3 times. The difference is because when you increase the diameter by a factor of 3, you increase the radius by a factor of 3 as well, and then you square it in the formula. So the area increases by a factor of 3^2 = 9.

144π - 16π = 128π square inches.

Therefore, by the area of a circle the answer will be 128π square inches.

Learn more about area of a circle here:

brainly.com/question/13004063

#SPJ2

A=(pi)(radius^2)
radius=4 for small circular cake
radius=12 for large circular cake

Area of small circular cake=16pi
Area of big circular cake=144pi
144pi/16pi=9 times bigger than small circular cake.

NO, 9 TIMES!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

What does the product of any whole-number factor multiplied by 100 always have ? Explain

Answers

The product of any whole number factor multiplied by 100 basically is just the number with an extra two zeros on the end. This is the case with any whole number.

Examples:
13 x 100 = 1300
444 x 100 = 44400
7 x 100 = 700

Convert 3.2 repenting decimal into a fraction