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1 year ago

A rain gutter is to be made of aluminum sheets that are 16 inches wide by turning up the edges 90. See the illustration.

1 answer:

7 0

Based on the width of the aluminum sheets and the angle of the edges, the depth that allows maximum cross-sectional area is 4 inches.

<h3>How much can the maximum cross-sectional area?</h3>

Assuming that the depth is x, the area would be:

= x (16 - 2x)

= 16x - 2x²

The maximum of the parabola is:

x = -b / 2a

= - 16 / (2 x -2)

= -16 / -4

= 4 inches

Find out more on using a parabola to solve for height at brainly.com/question/2274171

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What is the answer to this problem 3×3+y2(16×2+7y)=

SVETLANKA909090 [29]

Your answer would be 7y^(3)+32y^(2)+9

8 0

3 years ago

Choose the option that best answers the question.The points A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6) form a triangle. If Angl

Sunny_sXe [5.5K]

Answer:

The correct option is 1.

Step-by-step explanation:

Given information: The coordinates of a right angled triangle ABC are A(0, 0), B(0, 4a – 5) and C(2a + 1, 2a + 6). Angle ABC = 90°.

It means AB and BC are legs of the right angled triangle ABC.

Side AB lies on the y-axis because the x-coordinate of both A and B is 0.

Two legs are perpendicular to each other. So, BC must be parallel to x-axis and the y-coordinate of both B and C is must be same.

$4a-5=2a+6$

$4a-2a=5+6$

$2a=11$

Divide both sides by 2.

$a=\frac{11}{2}$

The value of a is 2. So the coordinates of triangle ABC are

$B(0,4a-5)=B(0,4(\frac{11}{2})-5)\Rightarrow B(0,17)$

$C(2a+1,2a+6)=C(2(\frac{11}{2})+1,2(\frac{11}{2})+6)\Rightarrow C(12,17)$

The area of a triangle is

$Area=\frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$

The area of triangle ABC is

$Area=\frac{1}{2}|0(17-17)+0(17-0)+12(0-17)|$

$Area=\frac{1}{2}|12(-17)|$

$Area=\frac{1}{2}|-204|$

$Area=\frac{1}{2}(204)$

$Area=102$

The area of triangle ABC is 102. Therefore the correct option is 1.

6 0

2 years ago

Manny bought 12 pounds of vegetables

finlep [7]

Answer:

Manny bought 3 pounds that were not on sale

Step-by-step explanation:

If 75 % were on sale, (100% -75% = 25%) then 25% were not on sale (The total has to be 100%)

Manny bought 12 pounds of vegetables

To determine how many pounds were not on sale, we take the amount of vegetables purchased and multiply by the percent that were not on sale.

12 * 25%

Change this to decimal form

12 *.25

Manny bought 3 pounds that were not on sale

7 0

2 years ago

Read 2 more answers

The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of th

Aleks04 [339]

volume(V)=147cm^3

also,

v=1/3×3.14×7^2×h

or, 147×3=3.14×49×h

or, (441)/(3.14×49)=h

or, h=2.87cm

3 0

2 years ago

Read 2 more answers

What is the product of 3y<br> product of (3y^)(274)

Dima020 [189]

3y^-4 × (2y^-4) = 6y^-8

= 6/1/y^8

= 6/y^8

.................................................

1) When x^1 multiply with x^2, 1 will add to 2 and become 3

= x^3

2) y^-1 = 1/y

3^-2 = 1/3^2 = 1/9

5^-2 = 1/5^2 = 1/25

5 0

2 years ago