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3 years ago

Find the perimeter of the polygon. 4 ft 7 ft

Mathematics

1 answer:

bazaltina [42]3 years ago

5 0

Answer:

Step-by-step explanation:

perimeter = 2(4ft+7ft) = 2*11ft = 22ft

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Write this expression using exponents

alexdok [17]

Answer:

$4p^{2}$ or 4p^2

Step-by-step explanation:

Combine like terms:

4 x 4 and p x p

4^2 and p^2

4p^2

4 0

2 years ago

QUICKLY HELP! Which relationship between x and y in the equation shows a proportional relationship?

Darina [25.2K]

Y = 12x is a direct variation which is a proportion.
As x increases y also increases.

3 0

2 years ago

Jane bought 12 mangoes for $600 how many mangoes can she buy with $1000

Ghella [55]

Answer:

20 mangos

Step-by-step explanation:

1. Divide $600 by 12. Your answer should be $50. This means that every mango costs $50.

2. You now need to solve the expression: 1000 ÷ 50 which equals 20. This means that with $1000 Jane can buy 20 mangos.

3 0

2 years ago

Simplify : 4y^2+12y-40\y^2+2y-8

PSYCHO15rus [73]

2(2y^4 + 7y^3 - 4y^2 -20)
___________________
Y^2

4y^2 - 40/y^2 + 14y - 8

2(-2y^4 - 7y^3 + 4y^2 + 20)
_ _____________________
Y^2

8 0

3 years ago

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

7 0

3 years ago