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2 years ago

Find the value of x. Round to the nearest tenth.

Mathematics

1 answer:

Nezavi [6.7K]2 years ago

7 0

Answer:

x ≈ 55.6

Step-by-step explanation:

Using the sine ratio in the right triangle

sin20° = $\frac{opposite}{hypotenuse}$ = $\frac{19}{x}$ ( multiply both sides by x )

x × sin20° = 19 ( divide both sides by sin20° )

x = $\frac{19}{sin20}$ ≈ 55.6 ( to the nearest tenth )

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A two-story building measures 21 feet from the ground.Ascale model shows the building to be 3 inches tall. How many inches would

jasenka [17]

Answer: $12\ inches$

Step-by-step explanation:

Let be "x" the height inches (in the model) of a 84 foot building.

According to the information provided in the exercise, we know that the height of a two-story building is 21 feet and in the scale model its height is 3 inches.

Knowing this, we can set up the following proportion:

$\frac{3}{21}=\frac{x}{84}$

The final step is to solve for "x" in order to calculate its value. We get that this is:

$\frac{3}{21}=\frac{x}{84}\\\\(84)(\frac{3}{21})=x\\\\x=12$

Therefore, an 84 foot building will be 12 inches tall in the model.

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3 years ago

What is the lateral area of a right cylinder if the radius of the base is 12 mm and the altitude of the cylinder is 5 times the

schepotkina [342]

Lateral Area of a cylinder is ; 2πR.H

R=12 mm and H= 15 mm

Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²

5 0

3 years ago

The difference between a number x and 13 is 21

Setler [38]

Answer:

x = 34

Step-by-step explanation:

3 0

3 years ago

Solve the following equation: lim x->0 sin3x/5x^3-4x.

goblinko [34]

Usual limit of sin is sinX/X--->1, when X--->0

sin3x/5x^3-4x=0/0?, sin3x/3x--->1 when x --->0, so sin3x/5x^3-4x= [3x. sin3x / 3x] /(5x^3-4x)=(sin3x / 3x) . (3x/5x^3-4x)
=(sin3x / 3x) . (3/5x^2- 4)
finally lim sin3x/5x^3-4x=lim (sin3x / 3x) .(3/5x^2- 4)=1x(3/-4)= - 3/4
x----->0 x---->0

3 0

3 years ago

Whats the answer to 3,000(6-2) + 3,000

yuradex [85]

The answer is 15000

$3000 \times ( 6 - 2) = 12000 + 3000 = 15000$
3000*6=1800
3000*-2=-6000
18000-6000=12000
12000+3000=15000

8 0

3 years ago