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3 years ago

Which notation is incorrect notation for the blue angle?

Mathematics

2 answers:

Crank3 years ago

5 0

The answer is choice D) Angle F

Why is this not proper notation? Because there are two possible angles with point F as the vertex. If we only had triangle DFG to worry about, then we can say "angle F" without mentioning other points, and we'd know exactly what angle is being referenced. In this case, angle F could refer to either angle DFG or angle DFE. Note how F is the middle letter in each case.

BartSMP [9]3 years ago

4 0

The fourth answer should be correct

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A box with no top is to be constructed from a piece of cardboard whose length measures 12 inches more than its width. The box is

MAXImum [283]

Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = $w+12$ inches

As given, 4 inch squares are cut from each corner;

So, the width is = $w-8$ inches

Length is = $w+12-8=w+4$ inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, $256=(w+4)(w-8)(4)$

=> $256=(w^{2}-4w-32)4$

=> $64=(w^{2}-4w-32)$

=> $w^{2} -4w=96$

or $w^{2} -4w-96=0$

=> $w^{2} -12w+8w-96=0$

=> $w(w-12)+8(w-12)=0$

We get , $(w+8)=0$ ; w = -8(neglect the negative value)

$(w-12)=0$ ; w = 12 inches

And length = $12+12=24$ inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : $256=(w+4)(w-8)(4)$

$256=(12+4)(12-8)(4)$

=> $256=(16)(4)(4)$

=> $256=256$

5 0

3 years ago

The rhumbas has a perimeter or 16 and height of 3 what is the area ?

daser333 [38]

I think the answer is 15 cuz if the height is 3; 3 on each side is 6 so 6-16=10 and 10 divided by 2 for the two others sides is 5… and 5x3=15

6 0

3 years ago

Read 2 more answers

walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p

laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

$Y(x) = (20+x)(60-2x)$

Differentiating with respect to t ( time ),

$Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x$

Again differentiating with respect to t,

$Y''(x) = -4$

For maxima or minima,

$Y'(x) = 0$

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0

3 years ago

Given that (5,-8) is on the graph of f(x), find the corresponding point for the function f(x+2)

galben [10]

We know that
the transformation
f(x)--------> f(x+2)
that means
A point (x,y) in graph of f(x)------> become a point (x-2, y) in graph of f(x+2)

hence
point (5,-8)-------------> become a point (5-2,-8)-----> (3,-8)

the answer is
the point (3,-8)

5 0

3 years ago

Plz i am timed i have 5 mins so plz help me

liberstina [14]

Answer:

Step-by-step explanation:

3 0

3 years ago