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Dafna1 [17]
3 years ago
12

Write an expression using the distributive property to show how to find the product of 7× 382

Mathematics
1 answer:
KonstantinChe [14]3 years ago
3 0
Sorry if it's blurry i did 7×300=2100,7×80=560,7×2=14 added them up and got 2674 as my answer
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Fond the area of the shaded sector of circle C to the nearest tenth
Lesechka [4]

Solution

Step 1

Write an expression for the area of sector

Area\text{ (A) = }\frac{\theta}{360}\times\pi\times r^2

Where

θ = 52°

π = 3.14

r = 8cm

Step 2

Find the area of the sector after substitution of values into the formula above.

\begin{gathered} A\text{ =}\frac{52}{360}\times3.14\times8^2 \\ A=29.028cm^2 \end{gathered}

To the nearest tenth the area of the shaded sector of circle C = 29.0cm²

5 0
1 year ago
1. Determine a rule that could be used to explain how the volume of a
Eva8 [605]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- We will use the basic formulas for calculating the volumes of two solid bodies.

- The volume of a cylinder ( V_l ) is represented by:

                                  V_c = \pi *r^2*h

- Similarly, the volume of cone ( V_c ) is represented by:

                                  V_c = \frac{1}{3}*\pi *r^2 * h

Where,

               r : The radius of cylinder / radius of circular base of the cone

               h : The height of the cylinder / cone

- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.

- We will represent a proportionality of Volume ( V ) with respect to ( r ):

                                  V = C*r^2

Where,

            C: The constant of proportionality

- Hence the proportional relation is expressed as:

                                 V∝ r^2

- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

                                V = C*(a*r)^2\\\\V = C*a^2*r^2

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).

- Hence, the relations for each of the two bodies becomes:

                              V = (\frac{1}{3} \pi *r^2*h)*a^2

                                          &

                              V = ( \pi *r^2*h)*a^2

8 0
3 years ago
I need the answer ASAP please
Nastasia [14]

Answer:

9 - 3=6

Step-by-step explanation:

7 0
3 years ago
What is 29503.488rounded two decimal places​
vesna_86 [32]

Answer:29503.49

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The selling price of an item is $600. After 6 months of not selling, it is marked down by 30% . After another 6 months of not se
Bingel [31]

The sale price after both markdowns will be $336

<em><u>Explanation</u></em>

The selling price of an item is $600. After 6 months of not selling, it is marked down by 30%

So, the marked down amount after 6 months =\$ 600*0.30= \$180

and the selling price after first 6 months will be: \$600-\$180=\$420

After another 6 months of not selling , it is further marked down by 20%. So, the marked down amount now = \$420*0.20=\$84

Thus, the final selling price after all markdowns =\$420-\$84=\$336

4 0
3 years ago
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