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2 years ago

I don’t understand stand this question someone please help me with work shown

Mathematics

1 answer:

djyliett [7]2 years ago

4 0

Answer:

60°

please look into the solution down here.

Step-by-step explanation:

since BD bisects it, then the angles should be bisected symmetrically, or in other words, ANGLE ABD = angle DBC,

hence,

4x = 2x +30

2x = 30

x = 15

therefore, angle DBC = 2x + 30 = 2(15) + 30 = 60°.

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A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How man

____ [38]

The total employees the company now have is 531.

Solution:

Beginning employees in a company = 450

Percentage of employees increased = 18%

Number of increased employees = 18% of 450

$$=\frac{18}{100}\times 450$

= 81

Total employees = Beginning employees + Increased employees

= 450 + 81

= 531

The total employees the company now have is 531.

3 0

2 years ago

Can someone tell me What is 10% of 20

Andrej [43]

Answer:

Step-by-step explanation:

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3 0

1 year ago

11/15 minus 1/3 in simplified form

Mrac [35]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

$\frac{11}{15} - \frac{1}{3} \\ \frac{11}{15} - \frac{1 \times 5}{3 \times 5} \\ \frac{11}{15} - \frac{5}{15} \\ \frac{6}{15} \\ \frac{6 \div 3}{15 \div 3} \\ \frac{2}{5}$

6 0

2 years ago

Read 2 more answers

let sin(θ) =3/5 and tan(y) =12/5 both angels comes from 2 different right trianglesa)find the third side of the two tringles b)

statuscvo [17]

In a right triangle, we haev some trigonometric relationships between the sides and angles. Given an angle, the ratio between the opposite side to the angle by the hypotenuse is the sine of this angle, therefore, the following statement

$\sin (\theta)=\frac{3}{5}$

Describes the following triangle

To find the missing length x, we could use the Pythagorean Theorem. The sum of the squares of the legs is equal to the square of the hypotenuse. From this, we have the following equation

$x^2+3^2=5^2$

Solving for x, we have

$\begin{gathered} x^2+3^2=5^2 \\ x^2+9=25 \\ x^2=25-9 \\ x^2=16 \\ x=\sqrt[]{16} \\ x=4 \end{gathered}$

The missing length of the first triangle is equal to 4.

For the other triangle, instead of a sine we have a tangent relation. Given an angle in a right triangle, its tanget is equal to the ratio between the opposite side and adjacent side.The following expression

$\tan (y)=\frac{12}{5}$

Describes the following triangle

Using the Pythagorean Theorem again, we have

$5^2+12^2=h^2$

Solving for h, we have

$\begin{gathered} 5^2+12^2=h^2 \\ 25+144=h^2 \\ 169=h^2 \\ h=\sqrt[]{169} \\ h=13 \end{gathered}$

The missing side measure is equal to 13.

Now that we have all sides of both triangles, we can construct any trigonometric relation for those angles.

The sine is the ratio between the opposite side and the hypotenuse, and the cosine is the ratio between the adjacent side and the hypotenuse, therefore, we have the following relations for our angles

$\begin{gathered} \sin (\theta)=\frac{3}{5} \\ \cos (\theta)=\frac{4}{5} \\ \sin (y)=\frac{12}{13} \\ \cos (y)=\frac{5}{13} \end{gathered}$

To calculate the sine and cosine of the sum

$\begin{gathered} \sin (\theta+y) \\ \cos (\theta+y) \end{gathered}$

We can use the following identities

$\begin{gathered} \sin (A+B)=\sin A\cos B+\cos A\sin B \\ \cos (A+B)=\cos A\cos B-\sin A\sin B \end{gathered}$

Using those identities in our problem, we're going to have

$\begin{gathered} \sin (\theta+y)=\sin \theta\cos y+\cos \theta\sin y=\frac{3}{5}\cdot\frac{5}{13}+\frac{4}{5}\cdot\frac{12}{13}=\frac{63}{65} \\ \cos (\theta+y)=\cos \theta\cos y-\sin \theta\sin y=\frac{4}{5}\cdot\frac{5}{13}-\frac{3}{5}\cdot\frac{12}{13}=-\frac{16}{65} \end{gathered}$

4 0

5 months ago

(25)2×100÷23+[24÷(13−5)]

hram777 [196]

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

7 0

2 years ago