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2 years ago

Brainliest if correct

Mathematics

2 answers:

Contact [7]2 years ago

7 0

X=29
Explained-
Substitute 16 for Y and instead of subtracting, just add 16 and 13. You should get 29

Alex2 years ago

5 0

Answer:

x=29

Step-by-step explanation:

Just as simple as substitution:

We will substitute in 16 for y

So the equation will look like 16=x-13

Isolate x:

Add 13 to both sides isolate the variable

-13+13=0

16+13=29

The new equation:

29=x

29-13 is 16.

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In the triangle above, what is sin A

Shkiper50 [21]

Answer:

$\large\boxed{\sf sin(A)=0.5}$

Step-by-step explanation:

A right angled triangle is given to us and we would like to find out the value of sin(A) .

From the triangle we can see that the measure of angle BAC is 30° . Therefore ,

$\longrightarrow A = 30^o$

On using sin both sides ,

$\longrightarrow sin(A) = sin30^o$

As we know that the value of sin30° = 1/2. So;

$\longrightarrow sin(A)=\dfrac{1}{2}$

Simplify by converting it into decimal ,

$\longrightarrow \underline{\underline{sin(A) = 0.5}}$

Hence option B is correct .

And we are done!

8 0

2 years ago

Subtract these polynomials.

Elina [12.6K]

Answer:

D) x^2+2

Step-by-step explanation:

(2x^2+2x+3)-(x^2+2x+1)

2x^2-x^2+2x-2x+3-1

x^2+3-1

x^2+2

5 0

3 years ago

The weight of one serving of trail mix is 2.5 ounces. How many servings are there in 22.5 ounces of trail mix

Andrews [41]

9 servings
22.5/2.5 = 9

6 0

4 years ago

Help me it’s this please

cupoosta [38]

Answer:

x=2/5=.4

Step-by-step explanation:

3x*3x-4x-2=0

9x-4x=2

5x=2

x=2/5=.4

4 0

3 years ago

Helpppp pleaseeeeeeeeeeeeeee

Vesna [10]

Answer:

Find below the calculations of the two areas, each with two methods. The results are:

Upper triangle:

$Area=5000\sqrt{3}units^2$

Lower triangle:

$Area=14,530m^2$

Explanation:

A) Method 1

When you are not given the height, but you are given two sides and the included angle between the two sides, you can use this formula:

$Area=side_1\times side_2\times sin(\alpha)$

Where, $\alpha$ is the measure of the included angle.

1. Upper triangle:

$side_1=200units\\ \\ side_2=100units\\ \\ \alpha =60\º\\ \\ Area=200units\times 100units\times sin(60\º)/2\\ \\ Area=5000\sqrt{3}units^2$

2. Lower triangle:

$side_1=231m\\ \\ side_2=150m\\ \\ \alpha =123\º\\ \\ Area=231m\times 150m\times sin(123\º)/2\\ \\ Area=14,529.96m^2\approx14,530m^2$

B) Method 2

You can find the height of the triangle using trigonometric properties, and then use the very well known formula:

$Area=(1/2)\times base\times height$

Use it for both triangles.

3. Upper triangle:

The trigonometric ratio that you can use is:

$sine(\alpha)=opposite\text{ }leg/hypotenuse$

Notice the height is the opposite leg to the angle of 60º, and the side that measures 100 units is the hypotenuse of that right triangle. Then:

$sin(60\º)=height/100units\\ \\ height=sin(60\º)\times100units\\ \\ height=50\sqrt{3}units$

$Area=(1/2)\times base\times height=(1/2)\times 200units\times 50\sqrt{3}units=5,000\sqrt{3}units^2$

3. Lower triangle:

$sin(180\º-123\º)=height/231m\\ \\ height=sin(57\º)\times 231m\\ \\ height=193.7329m^2$

$Area=(1/2)\times base\times height=(1/2)\times 150m\times 193.7329m^2\\\\ Area=14,529.96m^2\approx 14,530m^2$

5 0

3 years ago