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2 years ago

A line intersects the points

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

5 0

Y= -x+1 because the slope is negative

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A farmer needs to enclose a section of land in the shape of a parallelogram by using one side of a barn for one side. the barn a

Alecsey [184]

The answer would be 9 feet.

6 0

3 years ago

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A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner

frozen [14]

Answer:

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner $I_{corner}$ is:

$I_{corner} = \int\limits \int\limits_R (x^2+y^2) \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx$

where :

(a and b are the length and the breath of the rectangle respectively )

$I_{corner} = \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx$

$I_{corner} = \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx$

$I_{corner} = \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}$

$I_{corner} = \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]$

$I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

Thus; the moment of inertia of the lamina about one corner is $I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)$

7 0

3 years ago

A survey showed that 4 out of 5 students own a bicycle. Based on this result, how many of the 800 students in a school own a bic

Stella [2.4K]

Answer:

640 students own a bicycle

Step-by-step explanation:

The rate shows that 4 out of 5 students own a bicycle. 4 out of 5 is 80% of the students. Now, we need to find 80% of 800 students.

To do this, we multiply the number of students by .80, which represents 80%.

800 x 0.8 = 640

I Hope That This Helps! :)

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3 years ago

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A store is having a sale where school supplies are 30% off their original price. A backpack is on sale for $11.20. What was the

Mrac [35]

To find the original price, you could use a variable to represent the original price in this equation;

Let p represent the original price

.70 × p=11.20

to solve this, we'd isolate the variable (p)

p=11.20 ÷.70

p=16

The original price was $16

7 0

3 years ago

I need help on this thank you!

Digiron [165]

First off both triangles form a 90° angle there both congruent. you can tell they form a 90° angle because of square box

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3 years ago