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2 years ago

Find the slope of the table below.

Mathematics

1 answer:

Leona [35]2 years ago

7 0

The answer will be (B) hope this helps!
:D

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Please help !!! 20 points!!!

lapo4ka [179]

DE/ 120 = 45/360

DE = 120 * 45 /360

DE = 15

Answer

B. 15 cm

3 0

2 years ago

Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]

Alekssandra [29.7K]

$\green{\large\underline{\sf{Solution-}}}$

Given expression is 

$\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} }$

can be rewritten as

$\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\$

And

$\purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\$

So, using this identity, we

$\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} }$

can be further rewritten as

$\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} }$

$\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)}$

$\rm \: = \: \dfrac{4}{25 - 1}$

$\rm \: = \: \dfrac{4}{24}$

$\rm \: = \: \dfrac{1}{6}$

Hence, 

$\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}$

4 0

2 years ago

The sum of 5 consecutive odd integers is 285. Find the 5 integers.

Umnica [9.8K]

Answer:

They are 53, 55, 57, 59 and 61.

Step-by-step explanation:

We can write the integers as x, x+2, x+4, x+6 and x+8, so

x + x + 2 + x + 4 + x + 6 + x + 8 = 285

5x + 20 = 285

5x = 265

x = 53.

4 0

2 years ago

what is the probability of choosing a point inside a cylinder but not inside the cone that has the same base and height as the c

MArishka [77]

$The\ cone\ that\ has\ the\ same\ base\ and\ height\ as\ the\ cylinder\\states\ \frac{1}{3}\ of\ the\ cylinder.\\\\The\ probality\ of\ choosing\ a\ point\ inside\ a\ cylinder\ not\ inside\\the\ cone\ is\ equal\ to\ \frac{2}{3}.$

3 0

2 years ago

During practice, the Northwood football team drinks water from a cylindrical cooler that has a radius of 6 inches and a height o

bulgar [2K]

Answer:

The answer would the third option "Yes, because there is enough water in the cooler for about 81 cups total."

Step-by-step explanation:

3 0

2 years ago

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