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Artyom0805 [142]
2 years ago
15

Find the area of the triangle.

Mathematics
1 answer:
Vsevolod [243]2 years ago
8 0

Answer:

20 m²

Step-by-step explanation:

<u>Formula (Area of triangle):</u>

<u />\text{A (Triangle)} = \dfrac{1}{2}  \times \text{Base} \times \text{Height}

From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.

<u />\implies \text{A (Triangle)} = \dfrac{1}{2}  \times (7 + 3) \times (4)

Simplify the right-hand-side as needed to evaluate the area.

<u />\implies \text{A (Triangle)} = \dfrac{1}{2}  \times (10) \times (4)

<u />\implies \text{A (Triangle)} = \dfrac{40}{2}  = 20 \ \text{m}^{2}

Therefore, the area of the provided triangle is 20 m².

Learn more about this topic: brainly.com/question/15442893

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Answer:

I would say the answer is b

Step-by-step explanation:

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3 years ago
100 Points! What are the classifications of each system?
alexdok [17]

Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

x+5y=-2\\x+5y=4

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

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The system has no solution

therefore

Is a inconsistent system

Part 2) we have

y=3x+4\\-2x+y=4

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

3x+y=4 ----> equation A

-6x-2y=-8 ----> equation B

Multiply equation A by -2 both sides

-2(3x+y)=-2(4)

-6x-2y=-8 ----> equation C

Compare equation B and equation C

Are identical lines

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The system has infinity solutions

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4 0
3 years ago
Use &lt;, &gt;, or = to compare the following decimals.
TEA [102]

Answer:

A is >

B is >

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I hope this helps you.

7 0
2 years ago
A regular hexagon has sides of 3 feet. What is the area of the hexagon?
frosja888 [35]

Answer:

13.5\sqrt{3}\:\text{ft}^{2}

Step-by-step explanation:

Given: The side of a regular hexagon is 3 feet.

To find: Area of the hexagon

Solution:

It is given that the side of a regular hexagon is 3 feet.

We know that the area of a regular hexagon whose side is a units is \frac{3\sqrt{3} }{2} a^{2}

Here, the side is 3 feet

So, area of the regular hexagon

=\frac{3\sqrt{3} }{2} \times3^{2}

=\frac{3\sqrt{3} }{2} \times9

=\frac{27\sqrt{3} }{2}

=13.5\sqrt{3}\:\text{ft}^{2}

Hence, area of the regular hexagon is 13.5\sqrt{3}\:\text{ft}^{2}

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3 years ago
This the questions that have me stuck​
IRINA_888 [86]
First a and then b.
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