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3 years ago

Simplify the expression: 2(3y - 2) + 9

Mathematics

1 answer:

damaskus [11]3 years ago

3 0

Answer:

6y+5

Step-by-step explanation:

2 *3y=6y

2*-2=-4

but -4 +9 = +5

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PLEASE HELP ASAP THANK YOU!!!

Setler [38]

Answer:

The sum of the two smallest sides must be greater than the third side. If two sides of a triangle are not congruent,

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2 years ago

The product of two consecutive even integers is 14 more than their sum. Find the integers

sukhopar [10]

4 and 6!

4*6 = 24

24 - 14 = 10

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3 years ago

21 x ________ ÷ 3 = 21 *

GrogVix [38]

Answer:

first one: 3

second one: b

third one: 3.2

Step-by-step explanation:

first one:

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3 years ago

what IS THE FUTURE VALUE OF THE 10% savings from earnings of 36,000 if it earns 6.25% annual interest compounded quarterly for 1

bezimeni [28]

P(1+rt)
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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:

The building is 61.5 m tall

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