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3 years ago

the figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to BF.

Mathematics

1 answer:

spayn [35]3 years ago

3 0

Answer:

EF, FG, AB and BC are perpendicular to BF.

Step-by-step explanation:

In the figure attached, a rectangular prism has been given.

Line BF is contained in the face BCGF of the prism.

Therefore, all the faces perpendicular to the face given are,

ABFE, EFGH, ABCD and CGHD.

But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.

Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.

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Nelly owns farm land that has an area of 4.2 × 102 acres. Each year, the farm produces 6.72 × 104 bushels of corn. What is the a

juin [17]

The average amount of corn produced per acre represented in scientific notation can be found using the below formula:

$The \;average\; amount\; of\; corn\; per\; acre=\frac{Bushels \; of\; corn\; produced\; in\; farm}{Area\; of\; farm\; in\; acres}$

We are given:

$Area \; of\; FARM\; land= 4.2 \times 10^2 \; acres\\ \\ Amount \; of\; corn\; produced=6.72\; \times \; 10^4 \; bushels$

Substituting the above information in the formula, we get...

$The \; Average\; amount\; of\; corn=\frac{6.72 \times 10^4}{4.2 \times 10^2} \\ \\ \frac{6.72}{4.2} \times \frac{10^4}{10^2}\; =\; 1.6 \times 10^{4-2}\; =\; 1.6 \times 10^2\\ \\$

Conclusion:

$The \; Average \; amount\; of \; corn \; is\; 1.6 \times 10^2 \; Bushes\; per\; corn$

The average amount of corn produced per acre represented in scientific notation is option B) $1.6 \times 10^2$ bushels per acre

5 0

3 years ago

Read 2 more answers

Let f (x, y) = x3 + y3 x2 + y2 . (a) Show that |x3|≤|x|(x2 + y2), |y3|≤|y|(x2 + y2) (b) Show that |f (x, y)|≤|x|+|y|. (c) Use th

GarryVolchara [31]

Answer and Step-by-step explanation:

a.)x^2 and y^2 are always greater than zero.(assuming real x and y).

=>x^2<=x^2+y^2

=>|x|(x^2)<=|x|(x^2+y^2)

=>|x^3|<=|x|(x^2+y^2)

b. similarly, |y^3|<=|y|(x^2+y^2)

=>|f(x,y)|=|x^3+y^3|/(x^2+y^2)=|x|+|y|

c. let h is very small number (close to zero but positive)

lim (x,y)-> (0,0) f(x,y)=(x^3+y^3)/(x^2+y^2)

putting x=h and y=h and approaching h->0

lim h->0 f(h)=2h=0

There is another explanation attached below

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3 years ago

62 = 9z + 17<br> Solve for Z

Lina20 [59]

Answer : Z = 5

Step-by-step explanation :

62 = 9z + 17

-17 -17

45 = 9z

/9 /9

5 = z

Plug it back in :

62 = 9(5) + 17

62 = 45 + 17

62 = 62

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3 years ago

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle ( sometimes, alwa

avanturin [10]

It is always isosceles because it can be proved as follows:

The perpendicular bisector dissects the triangle into two, and it is the common side. Then each side of the bisector is 90 degrees, and the bisected to two equal sides, so the two dissected triangles are congruent, hence the original triangle is isosceles.

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3 years ago

BRAINLIEST to whoever gets it right

STatiana [176]

The scale factor applied to the model is 8000. 8000 times one equals 8000

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3 years ago