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kirill [66]
3 years ago
9

What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex o

f
the triangular bases?
x
OOOO
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Mathematics
1 answer:
Misha Larkins [42]3 years ago
5 0

Answer:

B. a rectangle

Step-by-step explanation:

When a figure is sliced along a given or required plane, the cross section of the sliced surface produces another figure or shape.

In the question, the figure has a triangular base. So that, the cross section along the required plane would give a rectangular shape. This is because the cross section is perpendicular to the triangular base, and passes through a vertex of the base.

By appropriate procedures and the given conditions, the shape of the cross section would be a rectangle.

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The length of a kitchen wall is 24 2/3 feet long. A border will be placed along the wall of the kitchen. If the border strips ar
krek1111 [17]

Total length of the kitchen wall = 24 2/3 feet.

Let us convert 24 2/3 feet into improper fracion.

24 2/3 = (24*3+2)/3 = 74/3 feet.

Length of each strip = 1 3/4 feet.

Let us convert 1/3/4 feet in improper fracion.

1 3/4 feet = (1*4+3)/4 = 7/4 feet.

Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)

= 74/3 feet ÷ 7/4 feet.

Let us convert division sign into multiplication, we get

74/3 × 4/7.

Multiplying across, we get

296/21.

On dividing 296 by 21, we get 14.09 approximately.

14.09 represents more than 14.

So, we can round it to the next whole number, that is 15.

Therefore, 15 strips of border are needed.

5 0
3 years ago
What is the domain of f(x) = 2|x − 1| + 3?
Wewaii [24]

Answer:

<h2>The domain=3</h2>

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
recent survey found that 71​% of all adults over 50 wear glasses for driving. In a random sample of 30 adults over​ 50, what is
valentina_108 [34]

Answer:

Mean = 21.3

Standard Deviation = 2.48

Step-by-step explanation:

We are given the following in the question:

p = 71​% = 0.71

Sample size, n = 30

We have to find the mean and the standard deviation of those that wear​ glasses.

\text{Mean} = np\\=30(0.71)\\=21.3

Thus, the mean of those who wear glasses is 21.3

\text{Standard deviation} = \sqrt{npq}\\=\sqrt{np(1-p)}\\=\sqrt{30\times 0.71\times (1-0.71)}\\=2.48

Thus, the standard deviation of those who wear glasses is 2.48

5 0
3 years ago
Solve for the exact value of x.
blsea [12.9K]

Answer:

\sqrt{89}

Step-by-step explanation:

Using the Pythagorean Theorem, if you take 8 and square it, you get 64.

You then take 5 and square it giving you 25.

add the 64 and 25 to get you 89 = x squared.

Then take the square roots of x. (Keep in mind, what you do to one side must be done to the other.)

Because 89 is not a perfect square, you can it it as the square root of 89.

6 0
3 years ago
To attend the class field trip, 24 students brought their permission slips.
mario62 [17]

Answer:

There are 30 students in the class

Step-by-step explanation:

we can write a ratio as:

8:10 as 24:x

Writing this as an equation gives:

8

10

=

24

x

We can now solve for

x

while keeping the equation balanced:

10

x

×

8

10

=

10

x

×

24

x

10

x

×

8

10

=

10

x

×

24

x

x

×

8

=

10

×

24

8

x

=

240

8

x

8

=

240

8

8

x

8

=

30

x = 30

7 0
3 years ago
Read 2 more answers
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