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Shtirlitz [24]
3 years ago
5

Assessment items Diana is constructing a regular hexagon inscribed in a circle. She begins by drawing a line and labeling a poin

t on the line as point A. She uses her compass to construct a circle with point A as the center, labeling the points where the circle intersects the line as points B and C. Without changing the compass opening, she constructs a circle with point B as the center and then with point C as the center. What step should be her next step?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

your options are Put the point of the compass on point B and the pencil point on point C. With the compass point still on B, draw two arcs that intersects the circle with center A.

Use a straightedge to join the four points where the circles intersect.

Draw and label the points where the circles with centers A and B intersect and where the circles with centers A and C intersect.

Put the point of the compass on point B and the pencil point on point C. Using this compass width, put the compass point on A and draw another circle.

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A tunnel is built in form of a parabola. The width at the base of tunnel is 7 m. On
uysha [10]

Given:

The width at the base of parabolic tunnel is 7 m.

The ceiling 3 m from each end of the base there are light fixtures.

The height to light fixtures is 4 m.

To find:

Whether it is possible a trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel.

Solution:

The width at the base of tunnel is 7 m.

Let the graph of the parabola intersect the x-axis at x=0 and x=7. It means x and (x-7) are the factors of the height function.

The function of height is:

h(x)=ax(x-7)             ...(i)

Where, a is a constant.

The ceiling 3 m from each end of the base there are light fixtures and the height to light fixtures is 4 m. It means the graph of height function passes through the point (3,4).

Putting x=3 and h(x)=4 in (i), we get

4=a(3)((3)-7)

4=a(3)(-4)

\dfrac{4}{(3)(-4)}=a

-\dfrac{1}{3}=a

Putting a=-\dfrac{1}{3}, we get

h(x)=-\dfrac{1}{3}x(x-7)              ...(ii)

The center of the parabola is the midpoint of 0 and 7, i.e., 3.

The width of the truck is 4 m. If is passes through the center then the truck must m 2 m on the left side of the center and 2 m on the right side of the center.

2 m on the left side of the center is x=1.5.

A trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is possible if h(1.5) is greater than 2.8.

Putting x=1.5 in (ii), we get

h(1.5)=-\dfrac{1}{3}(1.5)(1.5-7)

h(1.5)=-(0.5)(-5.5)

h(1.5)=2.75

Since h(1.5)<2.8, therefore the trailer truck carrying cars is 4 m wide and 2.8 m high is going to drive through the tunnel is not possible.

6 0
2 years ago
How can numbers be expressed, ordered, and compared
fiasKO [112]
Compare or order the digits that are different, Write > or <. or use a number line <span>44 < 72<span>
Say:
</span>"44 is less than 72"</span> <span>Or you can look at the place value.</span> <span>You can express using an exponent, an octet and many more</span>
7 0
3 years ago
Find the slope of a line parallel to each given line Y equals -1÷3 X +3
g100num [7]

The answer for this will be

-1/3x+3

4 0
3 years ago
Help Please! I dont get it
KIM [24]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ The formula to calculate the circumference is \pi d

d is the diameter (double the radius)

Substitute the values in:

Circumference = (3.14)(3 x 2)

Circumference = 18.84

It would be option D. 18.84 m

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

8 0
2 years ago
Read 2 more answers
Subtraction (must show work) 1. d - 27 = 45 2. h - 114 = 28
Arturiano [62]

Answer:

Step-by-step explanation:

1.

d - 27 = 45

add 27

d = 72

2.

h - 114 = 28

add 114

h = 142

3.

-4 + x = 15

add 4

x = 19

4.

-39 + g = 72

add 39

g = 111

7 0
2 years ago
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