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3 years ago

Solve for r: C = 2(pi)r.

1 answer:

5 0

<span>the main condition can be found one of the following given methods: if A = B*C*D, if we want to find the value of B, so B = A /C*D, the similar method can be applied to find the value of C an D. These are C= A/ B*D and D = A /C*B in our case we have C = 2*Pi* R, solve for R does mean, searching the value of R, so if we want to find the value of R, it is R = C / 2*Pi </span>

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How many SQUARES can you find? How many RECTANGLES can you find? How many TRIANGLES can you find?

saul85 [17]

First assumption: you want to use all 12 squares in each rectangle.

Let’s assume the squares are 1 inch on a side (could be foot, or yard, or whatever, but 1 UNIT).

Now, a rectangle has a length and a width. 12 squares an inch on a side have a total area of 12 square inches. So, your rectangle will also be 12 square inches.

To get that, you could have a rectangle of the following dimensions:

1 X 12

2 X 6

3 X 4

That’s it. Three possible rectangles, using all 12 squares per rectangle.

Now, if you DON’T have to use all 12 squares in the rectangle, then you could make 6 rectangles, using 2 squares each, so each rectangle would be 1 X 2.
5.3K views

Related Questions (More Answers Below)

4 0

3 years ago

Is 6/12 and 15/30 proportional?

sveticcg [70]

Answer:

yes

Step-by-step explanation:

6 is half of 12. 15 is half of 30. The ratios are equal, so the fractions are proportional.

Answer: yes

Also, you can reduce both fractions.

Divide the numerator and denominator of 6/12 by 6 to get 1/2.

Divide the numerator and denominator of 15/30 by 15 to get 1/2.

Since both fractions reduce to 1/2, 6/12 and 15/30 are equivalent fractions and are proportional.

5 0

3 years ago

Bullco blends silicon and nitrogen to produce two types of fertilizers. Fertilizer 1 must be at least 40% nitrogen and sells for

leva [86]

Answer:

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )

Subject to the constraints

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

Step-by-step explanation:

Firstly lets consider Xs1 and Xs2 to be the number of pounds of silicon used in fertilizer1 and fertilizer2 respectively

Also let Xn1 and Xn2 be the number of pounds of nitrogen used in fertilizer1 and fertilizer2 respectively

We know that the objective is to maximize the profits of Bullco.

z = [(Selling price of fertilizer1) (Amount of silicon and nitrogen used to produce fertilizer1) + (Selling price of fertilizer2) (Amount of silicon and nitrogen used to produce fertilizer2) - (Cost of silicon) (Amount of silicon used to produce fertilizer I and 2) - (Cost of nitrogen) (Amount of nitrogen used to produce fertilizer I and 2)]

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )

Now

Constraint 1; At most, 100 lb of silicon can be purchased

Amount of silicon used to produce fertilizer 1 and 2 ≤ 100

Xs1 + Xs2 ≤ 100

Constraint 2; At most, 80 lb of nitrogen can be purchased

Amount of nitrogen used to produce fertilizer 1 and 2 ≤ 80

Xn1 + Xn2 ≤ 80

Constraint 3; Fertilizer 1 must be at least 40% of nitrogen

Amount of nitrogen used to produce fertilizer 1 ≥ 40% (fertilizer 1)

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Constraint 4; Fertilizer 2 must be at least 70% of silicon

Amount of silicon used to produce fertilizer 2 ≥ 70% (fertilizer 2)

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

so the formulization of the given linear program is,

Maximize

z = 70(Xs1 + Xn1 ) + 40(Xs2 + Xn2 ) - 10 (Xs1 + Xs2 ) - 15(Xn1 + Xn2 )

Subject to the constraints

Xs1 + Xs2 ≤ 100

Xn1 + Xn2 ≤ 80

Xn1 ≥ 0.4 ( Xs1 + Xn1 )

Xs2 ≥ 0.7 ( Xs2 + Xn2 )

All Variables ≥ 0

8 0

3 years ago

The right triangular prism has a volume of 1,152 cm3. What is the value of x, the height of the prism? 6 8 12 16

rusak2 [61]

volume = 1/2 x a x b x X

1152= 1/2 x 12x 12 x X

12*12 = 144

1152 = 1/2 x 144 x X

1152/ 1/2 = 2304

2304 =144 x X

X=2304/144 = 16

check 1/2*12*12*16 = 1152

x=16cm

3 0

3 years ago

Read 2 more answers

Write a function rule for the area of a rectangle with a length 2 ft less than three times it’s width. What is the area of the r

bulgar [2K]

9514 1404 393

Answer:

A(w) = w(3w-2)

A(2) = 8 . . . . square feet

Step-by-step explanation:

For width w, the length will be 3w-2, two feet less than 3 times the width. The area is the product of length and width, so is ...

A = WL

A(w) = w(3w-2)

To find the area for a width of 2, we put 2 where w is, then evaluate.

A(2) = 2(3·2 -2) = 8 . . . . square feet

3 0

3 years ago