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KATRIN_1 [288]
2 years ago
12

19. A diagonal of a quadrilateral is 26 cm and the perpendiculars drawn to it from the opposite

Mathematics
1 answer:
julsineya [31]2 years ago
3 0
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What is the value of Angle 'a'?<br> a<br> 47°
Zina [86]

Answer:

133

Step-by-step explanation:

180-47=133

3 0
3 years ago
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A farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. Find the maximum area he can close.
Margarita [4]

Answer:

Width of 37.5 feet and length of 50 feet will maximize the area.

Step-by-step explanation:

Let w represent width and l represent length of the pen.

We have been given that a farmer has 300 ft of fence to enclose 2 adjacent rectangular pens bordering his barn. We are asked to find the dimensions that will maximize the area.

We can see from the attachment that the perimeter of the pens would be 4w+3l.

We can set our given information in an equation 4w+3l=300.

The area of the two pens would be A=2l\cdot w.

From perimeter equation, we will get:

w=\frac{300-3l}{4}

Substituting this value in area equation, we will get:

A=2l\cdot (\frac{300-3l}{4})

Since we need to maximize area, so we need to find derivative of area function as:

A=\frac{600l-6l^2}{4}

Bring out the constant:

A=\frac{1}{4}*\frac{d}{dl}(600l-6l^2)

A=\frac{1}{4}*(600-12l)

A=150-3l

Now, we will set our derivative equal to 0 as:

150-3l=0

150=3l

\frac{150}{3}=\frac{3l}{3}

50=l

Now, we will substitute l=50 in equation w=\frac{300-3l}{4} to solve for width as:

w=\frac{300-3(50)}{4}

w=\frac{300-150}{4}

w=\frac{150}{4}

w=37.5

Therefore, width of 37.5 feet and length of 50 feet will maximize the area.

8 0
3 years ago
Multiple the following:
fredd [130]

Answer:

1.-9x^2

2.16x^4

3.x^2+4x

4.x^2+4x+4

5.x^2-x-12

6.x^4+2x^3-4x^2

Step-by-step explanation:

8 0
3 years ago
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Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and
Veronika [31]

Answer:

5 loaves and 4

Step-by-step explanation:

7 0
2 years ago
Complete the table. Explain why the relationship is a proportional relationship. A cashier earns $8 per hour. Time (h) 2 4 Pay (
Alekssandra [29.7K]

Answer:

8  16  24  32  <u>40</u>  48  56  64  <u>72</u>

1   2     3    4    <u>5</u>    6    7     8    <u>9</u>

Step-by-step explanation:

The proportion is 8:1

When the dollar amounts increase by 8, the hour amounts increase by 1, and vice versa. That is why it is a proportion.

6 0
3 years ago
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