All categories

3 years ago

Can someone explain this

Mathematics

1 answer:

dolphi86 [110]3 years ago

6 0

<h3>Answer: 28</h3>

=========================================================

Explanation:

Let x be the unknown angle we want to find. This angle is in degrees.

The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.

We use the tangent ratio to tie the two sides together

$\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\$

Note: The notation $\tan^{-1}$ refers to the inverse tangent, or arctangent.

You might be interested in

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

Andre45 [30]

<u>Answer:</u>

Area of kite is 30 sq units.

<u>Solution:</u>

Note: Refer the image attached

From the given,

AC = 10 ; BD = 6

Kite is a quadrilateral as it has two equal adjacent sides.

The formula for the area of quadrilateral (kite) when both the diagonals are given is

$\text { area of kite }=\frac{1}{2} \times d_{1} d_{2}$

Here AC is $d_{1}$ and BD is $d_{2}$

On substituting the given values we get

$area = \frac{1}{2}\times10\times6 = \frac{60}{2}=30 sq units$

4 0

4 years ago

Read 2 more answers

Please help me!! I’m failing math. :(

Sauron [17]

Answer:

5:15 is the ratio for the amount of <u>circles</u> to total shapes.

Step-by-step explanation:

There are 5 circles and 15 shapes total.

So the ratio of circle to the total amount of shapes is 5:15

Hope I helped :)

Please consider Brainliest :)

8 0

3 years ago

3r + 6y - 2z = -6 2x + y + 4z = 19 -5x - 2y+8z = 62<br>solve each system of equations

nadya68 [22]

For the first equation

8 0

3 years ago

I need to find the value of x

Zanzabum

Hello,

We know that all the angles shown add up to 360 (think of a circle).

We also know that the angle of (6x-1)° is congruent to the angle opposite of it. (the "top left" angle) = 6x - 1°

We also know that the angle of (7x-1)° is congruent to the angle opposite of it.
(the "bottom left" angle) = 7x -1°

Knowing the sum of all angles as well as the angle measures in terms of x, we can add all the angle measures and equal it to 360.

So, we get (7x - 1) + (7x - 1) + (6x - 1) + (6x - 1) = 360
Simplify and we get:
26x - 4 = 360
Add 4 to both sides to get 26x = 364
Divide by 26 on both sides to get 14.

x = 14

Hope this helps!

6 0

3 years ago

Read 2 more answers

Copy and complete. PLEASE SOLVE IT FAST thanks

Setler79 [48]

Answer:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Step-by-step explanation:

In this question, we can use the following <em>formula</em>:

$\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100$

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%$

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%$

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

$\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%$

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%$

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

$\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%$

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

$\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%$

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

6 0

4 years ago