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3 years ago

Use factoring to find the following quotients:

Mathematics

1 answer:

ira [324]3 years ago

3 0

Answer:

2a + 5.

Step-by-step explanation:

2a + 5 <---------- Quotient

---------------------

3a - 2 )6a^2 + 11a - 10

6a^2 - 4a

15a - 10

..............

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What does chemical erosion do

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It causes the breakdown and decay to the rocks. It occurs when the weather water is slightly acidic.

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3 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

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3 years ago

A store had a number of chairs in stock at the beginning of the week. During the week, 66 chairs were sold, leaving the store wi

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They had 81 chairs at the beginning

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3 years ago

Read 2 more answers

I traveled 3920 miles and 7 hours on an airplane how many miles do I travel in 1 hour

valentinak56 [21]

Hi , the answer is 600 , because 3920 miles divided by 420 minutes[7hours] equals to 9.33 and 9.33 times 60 minutes[1 hour] equals to 559.8 , which is an approximate of 600.

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3 years ago

the ratio of cats to dogs at an animal shelter is 5:2. currently there is 63 cats and dogs are up for adoption. how many cats ar

vesna_86 [32]

Answer:

45 cats 18 dogs

Step-by-step explanation:

63/7 = 9

9*5=45

9*2=18

45+18=63

4 0

3 years ago