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Iteru [2.4K]
3 years ago
12

Please help don’t get it ASAP

Mathematics
1 answer:
maxonik [38]3 years ago
5 0

Answer:

Option C is correct.

38 miles

Step-by-step explanation:

Let x be the distance cover by Michelle

Given:

A circle diameter is 3 miles.

And Michelle biked around the trail 4 times.

We know that

The circumference of a circle.

circumference = 2\pi r----------(1)

where r=\frac{Diameter}{2}

r=\frac{3}{2} \\r=1.5 miles

Put \pi =3.14 and r value in equation 1.

circumference = 2\times 3.14 1.5

circumference = 9.42 mil;es

The circumference of a circle is 9.42 miles.

And Michelle biked 4 times, that is equal to 4 \times circumference.

x = 4\times 9.42

x = 37.65 miles.

That is equal to 38 miles.

Therefore, Michelle biked around 4 trail is 38 miles.

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50 POINTS!!
Charra [1.4K]

Answer:

FH=73

Step-by-step explanation:

We are given that a segment FH and G is the midpoint of FH.

FH=14x-4

FG=5x+9

We have to find the measure of FH.

When G is the midpoint of segment FH

Then , FG=GH

FH=FG+GH

Segment addition property

14x-4=FG+FG

Substitution property

14x-4=2FG

14x-4=2(5x+9)

14x-4=10x+18

14x-10x=18+4

4x=22

x=\frac{22}{4}=5.5

Substitute the values then we get

FG=5(5.5)+9=36.5

FG=GH=36.5

FH=14(5.5)-4=73

8 0
3 years ago
the slope of line PQ is m= 1/4. find the equation of the line that is parallel to line PQ and that has the y intercept b= -3
nevsk [136]
For this case we have that the generic equation of the line is given by:
 y = mx + b

 Where,
 m: slope of the line
 b: intersection with the y axis.
 Since the line is parallel to PQ, then the slopes are equal.
 We have then:
 m = 1/4.

 On the other hand we have:
 b = -3

 Substituting values we have:
 y = (1/4) x - 3
 Answer:
 The equation of the line that is parallel to line PQ and that has the and intercept b = -3 is:
 y = (1/4) x - 3
4 0
3 years ago
Find the value of x which satisfies the following equation.<br> log2(x−1)+log2(x+5)=4
weqwewe [10]

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: x = 3

____________________________________

\large \tt Solution  \: :

\qquad \tt \rightarrow \:  log_{2}(x - 1)  log_{2}(x + 5)  = 4

\qquad \tt \rightarrow \:  log_{2} \{(x - 1)(x + 5) \} = 4

[ log (x) + log (y) = log (xy) ]

\qquad \tt \rightarrow \: ( x - 1)(x + 5) =  {2}^{4}

\qquad \tt \rightarrow \:  {x}^{2}  + 5x - x - 5 =  16

\qquad \tt \rightarrow \:  {x}^{2}  + 4x - 5 - 16 = 0

\qquad \tt \rightarrow \:  {x}^{2}  + 4x -21 = 0

\qquad \tt \rightarrow \:  {x}^{2}  + 7x - 3x - 21 = 0

\qquad \tt \rightarrow \:  x(x + 7) - 3(x + 7) = 0

\qquad \tt \rightarrow \: (x + 7)(x - 3) = 0

\qquad \tt \rightarrow \: x =  - 7 \:  \: or \:  \: x = 3

The only possible value of x is 3, since we can't operate logarithm with a negative integer in it.

\qquad \tt \rightarrow \: x = 3

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

4 0
2 years ago
A circle above has a radius of 6 cm. What is the area of the circle?<br><br> Use = 3.14.
Ainat [17]

Answer:

113.04

Step-by-step explanation:

formula for area is

pi times radius times radius

if the radius is 6,

do 6 times 6=36

36 times 3.14=113.04

8 0
3 years ago
Read 2 more answers
Find the surface area of the cylinder: Use 3.14 for
sleet_krkn [62]

Answer:

Well on my end i got 47.12, with pi included

Step-by-step explanation:

3 0
3 years ago
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