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2 years ago

Bryce grew

Mathematics

1 answer:

Mama L [17]2 years ago

5 0

Answer:

132 inches

Step-by-step explanation:

33 x 4 = 132 inches

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Francine ran 3 1/2 laps around the circular track in the school gym. The track has a diameter of 1/2 miles. About how far does F

Juliette [100K]

Answer:

Francine run 5.495 miles

Step-by-step explanation:

Given :

Francine ran $3\frac{1}{2}$ laps around the circular track in the school gym.

The track has a diameter of 1/2 miles.

To Find : About how far does Francine run?

Solution :

First we need to calculate the perimeter of circular track :

Perimeter of circle : $2\pi r$

Since we are given the diameter = 1/2 miles = 0.5 miles

So, Radius will be (Diameter/2) = 0.5/2 = 0.25 miles

So, The perimeter will be:

$2\pi *0.25$

$0.5\pi$

Since $\pi =3.14$

⇒ $0.5*3.14$

⇒ $1.57$

Thus the circular track is of 1.57 miles .

Since she ran $3\frac{1}{2}$ = 7/2=3.5 laps

1 lap = 1.57 miles

So, 3.5 laps = 1.57*3.5 =5.495 miles .

Hence , Francine run 5.495 miles

6 0

3 years ago

2√6 ∙ √8 + 2√12<br><br>show your work please and thank you

meriva

Answer:

Step-by-step explanation:

multiply first,

so 2√6 x √8 = 2√48 (because when radicals are multiplied we add them)

2√48 can be simplified to 8√3 and 2√12 can be simplified to 4√3

8√3+4√3=12√3

8 0

3 years ago

HELP ME Using the following equation, complete the square and find the center and radius of the circle:

IrinaK [193]

Answer: $(-2,3)$ , $r=5\ \text{units}$

Step-by-step explanation:

Given

the equation is $x^2+y^2+4x-6y-12=0$

completing the square

$\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2$

Thus, the center of the circle is $(-2,3)$ and radius is $r=5\ \text{units}$

5 0

3 years ago

Hanisha is travelling to another country.

const2013 [10]

The total distance will be 8685.2 kilo meters if she travelled by plane

4 0

3 years ago

Adam is building birdhouses that requires 1/2-ft-long boards. How many pieces that are exactly 1/2 ft long can be made from a bo

Julli [10]

Answer:

Step-by-step explanation:

Adam is building birdhouses that requires $\frac{1}{2}$ i.e 0.5 feet long boards.

Now, he has an $8\dfrac{1}{4}$ i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.

We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.

Now, $\frac{8.25}{0.5}= 16.5$

So, there can be 16 whole board of exact length 0.5 feet. (Answer)

4 0

3 years ago