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2 years ago

A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram

Mathematics

2 answers:

Alenkasestr [34]2 years ago

9 0

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

Elan Coil [88]2 years ago

4 0

Cutting a hexagonal pyramid by a plane parallel to the base would result to a cross section with a shape of hexagon which would be same with its base. A cross section is a plane that results from cutting an object using a plane.

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This side of square S is twice the diameter of circle C what is the greatest possible number of points of intersection of perime

Dafna1 [17]

Answer:

Step-by-step explanation:

C is too small to have more.

5 0

2 years ago

24. ABCDE and PQRST are regular pentagons.

SIZIF [17.4K]

Answer:

126°

Step-by-step explanation:

In quadrilateral DSRC, SR || DC (given)

AP = BQ = CR = DS = ET (given)

$\therefore$ CR bisects $\angle DCB$

$\therefore m\angle DCR=\frac{108\degree}{2}$

( $108\degree$ is the measure of an angle of pentagon)

$\therefore m\angle DCR=54\degree$

$\because m\angle DCR + m\angle SRC=180\degree$

(Measure of interior angles on the same side of transversal)

$\therefore 54\degree + m\angle SRC=180\degree$

$\therefore m\angle SRC=180\degree- 54\degree$

$\therefore m\angle SRC=126\degree$

3 0

2 years ago

Find the range of allowable values based on a measure of 130 inches if the values can vary by 1.4%.

olganol [36]

Answer:

130 ± 1.82 inches i.e the range of the values is 128.18 inches to 131.82 inches.

Step-by-step explanation:

The range of values required here implies the values fall between the least and maximum values.

Since the values can vary by 1.4%, the range can be determined by:

1.4% of 130 = $\frac{1.4}{100}$ x 130

= 0.014 x 130

= 1.82

The addition or subtraction of 1.82 to/from 130 inches gives the required range.

i.e the range of allowable values = 130 ± 1.82 inches.

Thus,

130 - 1.82 = 128.18 inches

130 + 1.82 = 131.82 inches

The values falls between 128.18 inches to 131.82 inches.

6 0

2 years ago

A student claims that the expression “9 times the sum of a number and 13” is translated to the algebraic expression 9n + 13. Is

Alex73 [517]

9*13+n
I think that is correct, try and split up the question.
9*
A sum of a number AND 13
So that means that 9 is multiplying by the SUM (adding) of 13 and a number (n)

8 0

2 years ago

Read 2 more answers

Many residents of suburban neighborhoods own more than one car but consider one of their cars to be the main family vehicle. The

horrorfan [7]

Answer:

95.4% of family vehicles is between 1 and 3 years old.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2

Standard Deviation, σ = 6 months = 0.5 year

We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(family vehicles is between 1 and 3 years old)

$P(1 \leq x \leq 3)\\\\ = P(\displaystyle\frac{1 - 2}{0.5} \leq z \leq \displaystyle\frac{3-2}{0.5}) = P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.977 -0.023 = 0.954= 95.4\%$

$P(1 \leq x \leq 3) = 95.4%$

95.4% of family vehicles is between 1 and 3 years old.

3 0

2 years ago