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Varvara68 [4.7K]
3 years ago
5

Thomas is constructing an inscribed regular hexagon for the circle shown. Point A will be one vertex of the hexagon. What step s

hould be completed next?
Mathematics
2 answers:
neonofarm [45]3 years ago
7 0

Answer: D) set the width of the compass to equal AP

Step-by-step explanation:

Got this right on USA test prep

Nookie1986 [14]3 years ago
5 0
<span>set the width of the compass to equal AP 

</span>
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The distance from the earth to the moon is 3.84 x 105 km
Anarel [89]

Part (a)

<h3>Answer:  3.84 \times 10^8 \text{ meters}</h3>

---------------------

Explanation:

Multiply by 1000 to go from km to meters.

This is because 1000 m = 1 km.

Multiplying by 1000 in scientific notation means we add 3 to the exponent 5. The 3 is because 1000 = 10^3.

So the 3.84 \times 10^5 \text{ km} becomes 3.84 \times 10^8 \text{ meters}

===========================================================

Part (b)

Answer in standard form:  960,000 seconds

Answer in scientific notation: 9.6\times10^{5} \text{ seconds}

---------------------

Work Shown:

\text{distance} = \text{rate}*\text{time}\\\\\text{time} = \frac{\text{distance}}{\text{time}}\\\\\text{time} = \frac{3.84 \times 10^8 \text{ meters}}{400 \ \text{ m}/\text{s}}\\\\\text{time} = \frac{3.84 \times 10^8}{4 \times 10^2} \text{ seconds}\\\\\text{time} = \frac{3.84}{4}*\frac{10^{8}}{10^2} \text{ seconds}\\\\\text{time} = 0.96 \times 10^{8-2} \text{ seconds}\\\\\text{time} = 0.96\times 10^{6} \text{ seconds}\\\\

\text{time} = (9.6\times10^{-1})\times10^{6} \text{ seconds}\\\\\text{time} = 9.6\times(10^{-1}*10^{6}) \text{ seconds}\\\\\text{time} = 9.6\times10^{-1+6} \text{ seconds}\\\\\text{time} = 9.6\times10^{5} \text{ seconds}\\\\\text{time} = 960,000 \text{ seconds}\\\\

To go from the scientific notation to standard form, move the decimal point 5 spaces to the right. The 5 is from the exponent.

3 0
2 years ago
Write an equation in point slopeople form that passes through the point (1,8) &amp; slope of -3 show all work now write the equa
il63 [147K]

So we know that point-slope form is as follows:


y-y_{1}=m(x-x_{1})


The points (x_{1} and y_{1} correspond to the point given and m is representing the slope. So we plug in what the question gives us:


y-(8)=-3(x-1) <------ Point-slope form


Now we can take this form and simplify to give us the slop-intercept form:


y-8=-3(x-1)


y-8=-3x+3


y=-3x+11 <----- Slope-intercept form

8 0
4 years ago
Find the distance between the points (2.7, 5.1) and (3, 4.7).<br><br> 0.05<br><br> 0.5<br><br> 5
vitfil [10]
D = sqrt (x2 - x1)^2 + (y2 - y1)^2
(2.7,5.1)...x1 = 2.7 and y1 = 5.1
(3,4.7)...x2 = 3, and y2 = 4.7
now we sub
d = sqrt (3 - 27/10)^2 + (47/10 - 51/10)^2
d = sqrt (3/10^2) + (-2/5^2)
d = sqrt (9/100 + 4/25)
d = sqrt 1/4
d = 1/2 or 0.5 <==
8 0
3 years ago
Read 2 more answers
What is the surface area of the figure
stiv31 [10]
So just find the measues of the faces
15 times 4=rightmost face
9 times 4=oposite face
9 times 4=lower top face
to find topmost face
15-9=6
4 times 6=topmost face
sides
can be split up into 2 rectangles
15 by 9 and 6 by 6
2 of them
2 times (15 times 9+6 times 6)
bottom=15 times 4
not seen face=6 times 4

total area=(15 times 4)+(9 times 4)+(9 times 4)+(4 times 6)+(2 times ((15 times 9)+(6 times 6)))+(15 times 4)+(6 times 4)
total area=60+36+36+24+(2 times (135+36))+60+24
total area=60+36+36+24+(2 times 171)+60+24
total area=60+36+60+342+60+24
toal area=582

answer is B
3 0
3 years ago
Read 2 more answers
Select the correct difference.<br> -3z^7- (-5z^7)
Rom4ik [11]
2z^7 the first choice
3 0
3 years ago
Read 2 more answers
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