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2 years ago

Five less than a number is 14. Find the number.

Mathematics

2 answers:

USPshnik [31]2 years ago

6 0

Answer:

the number is 19

14 +5 =19

19-5 = 14

Dmitrij [34]2 years ago

4 0

The number is 19, 14+5=19 or 19-5=14

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From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

Hence, the height of the building = x + 8.20 = 30.11 meters (approx)

8 0

2 years ago

Find the value of the expression. 7! ÷ 3! 5,040 5,034 840 24

koban [17]

First, let's review what the "factorial operator" ! means.

5! = 5*4*3*2*1.

3! = 3*2*1

7! = 7*6*5*4*3*2*1

Then:

7! 7*6*5*4*3*2*1 7*6*5*4 5040
----- = ----------------------- = ------------- = ----------- = 5040 (answer)
3! 3*2*1 1 1

3 0

2 years ago

In ΔJKL, \overline{JL} JL is extended through point L to point M, m∠JKL = (2x+14)^{\circ}(2x+14) ∘ , m∠LJK = (3x+15)^{\circ}(3x+

Sergio039 [100]

Answer:

The value of x =10°

Step-by-step explanation:

Check attachment for solution.

Triangle theorem: the sum of the opposite interior angle is equal to the exterior angle.

<JKL+<LJK=<KLM

2x+14+3x+15=7x+9

Collect like terms

2x+3x-7x=9-14-15

-2x=-20

Divide both side by -2

x=10°

6 0

2 years ago

7. A clothing trunk is 30 inches tall, 48 inches wide,

Vinvika [58]

Answer:

34,560 in^3

Step-by-step explanation:

A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep

The amount is cubic feet the trunk will hold can be calculated as follows

= 30×48×25

= 34,560 in^3

4 0

2 years ago

The wholesale price for a shirt is $5.50. A certain department store marks up the wholesale price by 40%. Find the price of the

Kazeer [188]

Answer:

$7.7

Step-by-step explanation:

Hello, I can help you with this

you can solve this by using a simple rule of three.

Step 1

define

if the wholesale price for a shirt is $5.50,it is 100 percent

$5.50⇔100%

the new price(x) is 40% more than the original, it means 140%

x ⇔ 140%

the relation is

$\frac{5.5}{100}= \frac{x}{140}\\$

Step 2

solve for x(isolate x)

$\frac{5.5}{100}= \frac{x}{140}\\x=\frac{5.5*140}{100}\\x=7.7$

the price of the shirt in the department store is $7.7

Have a nice day.

7 0

2 years ago