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3 years ago

11

Categorize the graph as linear increasing, linear decreasing, exponential

1 answer:

katen-ka-za [31]3 years ago

6 0

Answer:

A

Step-by-step explanation:

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In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,

aivan3 [116]

Answer:

Case 1:

$AB = 30$

$BC = 50$

Case 2:

$AB = 15.9$

$BC = 36.7$

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

$AB^2 = AN^2 + BN^2$

This gives:

$AB^2 = 24^2 + 18^2$

$AB^2 = 576 + 324$

$AB^2 = 900$

Take square roots of both sides

$AB = \sqrt{900$

$AB = 30$

To calculate BC, we consider ANC, where:

$AC^2 = AN^2 + NC^2$

$40^2 = 24^2 + NC^2$

$1600 = 576 + NC^2$

Collect like terms

$NC^2 = 1600 - 576$

$NC^2 = 1024$

Take square roots

$NC = \sqrt{1024$

$NC = 32$

So:

$BC = NC + BN$

$BC = 32 + 18$

$BC = 50$

Case 2:

Using Pythagoras theorem in ANB, we have:

$AN^2 = AB^2 + BN^2$

This gives:

$24^2 = AB^2 + 18^2$

$576 = AB^2 + 324$

Collect like terms

$AB^2 = 576 - 324$

$AB^2 = 252$

Take square roots of both sides

$AB = \sqrt{252$

$AB = 15.9$

To calculate BC, we consider ABC, where:

$AC^2 = AB^2 + BC^2$

$40^2 = 252 + BC^2$

$1600 = 252 + BC^2$

Collect like terms

$BC^2 = 1600 - 252$

$BC^2 = 1348$

Take square roots

$BC = \sqrt{1348$

$BC = 36.7$

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

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Four 5th graders are taking turns visiting a 2nd grade classroom to read aloud from a chapter book . The book has 38 pages. If t

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Answer:

9.5

Step-by-step explanation:

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Which expression represents, five times the quotient of two numbers?

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Answer:

0 5(5)

Step-by-step explanation:

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Suppose the function D(p)=1500-25p represents the demand for hot dogs, whose price is p, at a baseball game. Find the domain of

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The function is given by

$\\ \tt\hookrightarrow D(p)=1500-25p$

Price must be greater than 0

$\\ \tt\hookrightarrow 1500-25p\geqslant 0$

$\\ \tt\hookrightarrow 1500\geqslant 25p$

$\\ \tt\hookrightarrow p\leqslant 60$

Now

$\\ \tt\hookrightarrow D_f\in (-\infty,60]$

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Answer the question below.

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Answer:

-16 / 2

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You have 16 negative tiles and you are dividing it into 2.

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