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2 years ago

Please help answer this

Mathematics

1 answer:

julsineya [31]2 years ago

8 0

Answer:

4.8 units^2

Step-by-step explanation:

Hello! To find the area of this triangle, we need to know both the base and the height. Neither is specifically given.

We can find the height (CD) as follows:

3^2 - 1.8^2 = 5.76, so CD has the length sqrt(5.76) = 2.4.

Triangles ACD and ABC are similar. Therefore, the following equatin of ratios holds:

1.8 CD 2.4

----- = ------- = --------

3.0 AB AB

Then 1.8AB = 3.0(2.4), or AB = 7.2/1.8 = 4.

So the height of triangle ABC is 2.4 units and the length of the base is 4 units.

Therefore, the area of this triangle is A = (1/2)(base)(height), or

A = (1/2)(4 units)(2.4 units) = 4.8 units^2

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2 years ago

A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr

ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

$500*\frac{40}{100} =5*40=200$

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

$500*\frac{25}{100} =5*25=125$

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

$500-(200+125)$

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Therefore, 175 visitors went to screen 3.

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3 years ago

Part C

mel-nik [20]

Answer:

Tamara needs to cover a total of 476 square feet.
Tamara will have enough material to cover all four walls.

Step-by-step explanation:

If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...

P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet

The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...

A = PH = (39 2/3 ft)(12 ft) = 476 ft²

Tamara needs to cover a total of 476 square feet.

If Tamara orders 480 square feet of material, ...

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3 years ago

The given line passes through the points (0, ) and (2, 3). On a coordinate plane, a line goes through (0, negative 3) and (2, 3)

Kipish [7]

Answer:

$y=\frac{x}{5}+\frac{12}{5}$

Step-by-step explanation:

1) The Point-slope form equation is given in this form:

$(x-x_{0})=m(y-y_{0})$

2)Looking at the given graph, we can pick two points: (-5,-4) and (0,-3)

3) Before using the Point-slope form We have to find out the slope:

$m=\frac{-4-(-3)}{0-(-5)} \Rightarrow m=\frac{-4+3}{0+5} \Rightarrow m=\frac{-1}{5}$

4)Parallel lines share the same slope. The one that passes through (-2,2) is found by calculating its linear parameter "b":

$y=\frac{x}{5}+b\Rightarrow 2=\frac{-2}{5}+b\\5*10=(-2+b)*5\Rightarrow 5b=12 \Rightarrow \frac{5b}{5} =\frac{12}{5} \Rightarrow b=\frac{12}{5}$

Then, the answer is:

$y=\frac{x}{5}+\frac{12}{5}$

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3 years ago

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