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Sliva [168]
2 years ago
8

Find the area of this triangle.

Mathematics
2 answers:
Katyanochek1 [597]2 years ago
6 0

Answer:

120 ft²

Step-by-step explanation:

The formula to find the area of a triangle is :

Area = \frac{1}{2} × base × height

Given that,

base ⇒ 30 ft

height ⇒ 8 ft

<u>Let us solve it now.</u>

Area =  \frac{1}{2} × base × height

Area =  \frac{1}{2} × 30 ft × 8 ft

Area =  \frac{1}{2} × 240 ft²

Area =<u>  120 ft²</u>

lesantik [10]2 years ago
6 0
<h3>❍ <u>Explanation</u> -:</h3>

In this question we are provided with the base and height of a triangle. We are asked to calculate the area of the triangle.

Base = 30 feet

Height = 8 feet

We know,

\large  \star \: \small\boxed{ \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h}}

Where,

  • b stand for base
  • h stand for height

Substituting the values we get

\small\sf{ Area_{(triangle)} = \dfrac{1}{ \cancel{2}} × 30 ×  \cancel{8} \:  \: 4}

\longmapsto \small\rm Area_{(triangle)} =   30 × 4

\small \underline{ \boxed{\sf {Area_{(triangle)} =120 \:   {feet}^{2} }}}

Hence,the area of the triangle is 120 feet².

\underline{\rule{71mm}{3pt}}

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Write in standard form an equation for the line with slope 1/3 through<br> the point (2,-2).
Alexxandr [17]

Answer:

x - 3y = 8.

Step-by-step explanation:

Use the point-slope form of the equation of a line:

y - y1 = m(x - x1)  where m = the slope and (x1, y1) is a point on the line.

So substituting the given values:

y - (-2) = 1/3(x - 2)

y + 2 = 1/3x - 2/3     Multiply through by 3:

3y + 6 = x - 2

x - 3y  =  6 + 2

x - 3y = 8  <---- Standard Form.

6 0
3 years ago
At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the firs
rewona [7]

Answer:

4032 different tickets are possible.

Step-by-step explanation:

Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.

To find : How many different tickets are possible ?

Solution :

In the first race there are 9 ways to pick the winner for first and second place.

Number of ways for first place - ^9C_1=9

Number of ways for second place - ^8C_1=8

In the second race there are 8 ways to pick the winner for first and second place.

Number of ways for first place - ^8C_1=8

Number of ways for second place - ^7C_1=7

Total number of different tickets are possible is

n=9\times 8\times 8\times 7

n=4032

Therefore, 4032 different tickets are possible.

8 0
3 years ago
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Neko [114]

Answer:

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Step-by-step explanation:

7 0
3 years ago
12. F(x) = 4x squared
Ymorist [56]

Answer:

y-intercept: y=0

axis of symmetry: x=0

vertex: (0,0)

Step-by-step explanation:

To find the y-intercept, set x = 0 and solve for y.

I am assuming f(x) = y

y=4x^2

y=4(0)^2

y=0

The y-intercept of the equation is y = 0.

Now, for the axis of symmetry, you need the equation x=\frac{-b}{2a}

In an equation.. y=ax^2+bx+c

In this case, there is only an a, so plug in the values into the equation.

x=\frac{0}{2(4)}

x=0

The axis of symmetry is x = 0.

To find the vertex, change the format of the equation from standard form to vertex form.

Vertex form: y=a(x-h)^2+k

The vertex is (h,k)

y=4x^2 = 4(x+0)^2+0

(h,k)=(0,0)

The vertex in this case is (0,0).

Graphing makes things a lot easier. If you can graph it, all you have to do is look at the graph and the answers are all there!

Hope this helped you!

6 0
3 years ago
Teachers are being trained to standardized the scores they give to students' essays. The same essay was scored by 10 different t
bagirrra123 [75]
What are you asking  , if you tell me i will solve
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3 years ago
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