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Dimas [21]
3 years ago
5

Michael bikes 36 miles last week and 38.4 miles this week. What is the average distance he bikes? Give your answer with the appr

opriate precision.
a. 36 mi
b. 36.2 mi
c. 37 mi
d. 37.2 mi
Mathematics
1 answer:
erastovalidia [21]3 years ago
5 0
Answer:  d. 37.2 mi
Because to find the average, you add the numbers together then you divided the amount of numbers added together.
    Like: 36+38.4 = 74.4/2 = 37.2
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Sin-1 (2/3) rounded to nearest 10th
Luda [366]

the is answer 2 because if u round it 3

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3 years ago
Katarina uses fraction strips to show how many thirds are in 4/6.Is Katarina's model correct?Explain
Mariulka [41]

I cant see the model but 2/3 is the same as 4/6

8 0
3 years ago
Matherson made a wooden triangular pencil holder with an opening at the top. It has a height of 5 inches with the base being an
qwelly [4]

Answer:

Step-by-step explanation:

2.5 surface area

4 0
3 years ago
Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi
natta225 [31]

Answer:

b. circle; 2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0

Step-by-step explanation:

The given conic has equation;

x^2-5x+y^2=3

We complete the square to obtain;

(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}

This is a circle with center;

(\frac{5}{2},0)

This implies that;

x=\frac{5}{2},y=0

When the circle is rotated through an angle of \theta=\frac{\pi}{3},

The new center is obtained using;

x'=x\cos(\theta)+y\sin(\theta) and y'=-x\sin(\theta)+y\cos(\theta)

We plug in the given angle with x and y values to get;

x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3}) and y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})

This gives us;

x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}

The equation of the rotated circle is;

(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}

Expand;

(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}

Multiply through by 4; to get

4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37

Write in general form;

4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0

Divide through by 2.

2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0

8 0
3 years ago
jack bought 3 slices of cheese pizza and 4 slices of pepperoni pizza for a total cost of 12.50. sam bought 3 slices of cheese pi
fiasKO [112]

Answer:

$1.50

Step-by-step explanation:

Let cheese pizza be C and mushroom pizza be M

Given 3C+2B+4M+=+12.50

and

3C+2B+2M=8.50

Using elimination  

3C+2B+4+=12.50

3C+2B+2M=8.50

------------------------ subtract the second equation from the first one to get

 

2M=4.00

Solve for M  

M+=+2.00 mushroom slice costs $2 each

Using that info, substitute for M in either equation to find C

3C+2B+2M=8.50

3C+2B+22A2=8.50

3C+2B+4=8.50

3C=4.50

C+=1.50

8 0
3 years ago
Read 2 more answers
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