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4 years ago

What is the area of this triangle in the coordinate plane ASAP

Mathematics

2 answers:

Ira Lisetskai [31]4 years ago

5 0

It’s roughly 24 units2

Leni [432]4 years ago

4 0

Answer:

24 units²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = $\frac{1}{2}$ bh ( b is the base and h the perpendicular height )

Here b = 8 ( measured along the x- axis) and

h = 6 ( measured along the y- axis )

A = $\frac{1}{2}$ × 8 × 6 = $\frac{1}{2}$ × 48 = 24 units²

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How far above sea level is the ranger station?

Schach [20]

Since he descended 12 meters, we subtract this from the overall height of Mount Ka'ala, so then we are only calculating how high ABOVE the sea level it is.

1232 - 12 = 1220

The height of Mount Ka'ala is therefore 1,220 meters.
To calculate how much a fifth of Mount Ka'ala is (since the ranger station is 2/5's up), we would divide this number by 5

1220 ÷ 5 = 244

Since ONE fifth of the height is 244 meters, TWO fifths would be double that amount.

244 x 2 = 488

488 meters.
The ranger station is 488m above sea level.

3 0

3 years ago

PLEASE ANSWER ASAP *picture attached* f(x) = x2 + 1 g(x) = 5 – x

Eva8 [605]

Answer:

$x^{2} +x-4$

Step-by-step explanation:

To get the answer just subtract f(x) by g(x)

The work is shown below:

$(f-g)(x)= f(x)-g(x)\\\\(f-g)(x)= (x^{2} +1)-(5-x)\\\\(f-g)(x)= x^{2} +1-5+x\\\\(f-g)(x)= x^{2} -4+x\\\\(f-g)(x)= x^{2} +x-4\\\\$

7 0

3 years ago

CAN YOU HELP IN MATH

atroni [7]

Answer:

See below

Step-by-step explanation:

Domain: set of x values

Range: set of y values

Function: no two x values are the same

Line 1:

Domain: {3, 4, 5}

Range: {1, 2, 3, 4}

Function: no since there are two points with x-coordinate 3

Line 2:

Domain: {-1, -2, 1, 2}

Range: {1, 3}

Function: yes since all x-coordinates are different

Line 3:

Domain: {-2, -1, 0, 1, 2}

Range: {0, 1, 4}

Function: yes since all x-coordinates are different

8 0

2 years ago

A scientist need 10 L of a 20% acid solution for an experiment where she had only a 5% solution and a 40% solution to the neares

andrezito [222]

Answer:

Amount of 5% solution = 5.7 Litres

Amount of 40% solution = 4.3 Litres

Step-by-step explanation:

First, of all, let x be the amount of 5% solution used

Since, the scientist needs 10 L of solution, then;

Let 10 - x be the amount of 40% solution used

Now, we are told that she needs 10 L of a 20% acid solution.

This means that;

5%x + 40%(10 - x) = 20%(10).

Simplifying this gives;

0.05x + 0.40(10 - x) = 0.20 × 10

Expanding the bracket gives;

0.05x + 4 - 0.4x = 2

0.4x - 0.05x = 4 - 2

0.35x = 2

x = 2/0.35

x ≈ 5.7 litres

Thus, she will need to mix 5.7 liters of the 5% solution.

Since 10 - x be the amount of 40% solution used , then;

the amount of 40% solution = 10 - 5.7 = 4.3 litres

4 0

3 years ago

Find the ratio of the volume of one sphere to the volume of the right cylinder

yarga [219]

Answer:

Step-by-step explanation:

Let $r$ be the radius of one sphere.

Volume of sphere is $V=\frac{4}{3}\pi r^3$

Since radius is r, the height of the cylinder will be $4r$

Also, the cylinder has the same radius as the sphere: $r$

Volume of Cylinder is $V=\pi r^2 h$

Plugging in the values we get: $V=\pi (r)^{2}(4r)=4\pi r^3$

Ratio of volume of 1 sphere to volume of cylinder is:

$\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}$

The ratio is 1:3

Answer choice B is right.

5 0

3 years ago