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cupoosta [38]
3 years ago
9

What is the area of LMN

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

4 square units.



The easiest way to find this is by looking at the triangle as if NL was the base. In this case PM would be the height. Since a triangle is the same shape even when we move it or rotate it, this is a common strategy to finding areas when the direction is tough for us.



Now that we have this we can measure the lengths of the base and height and use them in the triangle area formula.



Base = 4


Height = 2



Area of a triangle = 1/2bh


Area of a triangle = 1/2(4)(2)


Area of a triangle = 2(2)


Area of a triangle = 4



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X2<br>2<br>ab<br>ab to<br>b<br>The diagian<br>K<br>n shows<br>rectangle. The shade<br>Find x.<br>​
Norma-Jean [14]

Answer:

x = 28 cm

Step-by-step explanation:

Given:

Area of link shaded regions = 84 cm²

Required:

The value of x (diameter of the semicircle/length of the rectangle)

Solution:

Diameter of the semicircle = 2r = x

Length of rectangle (L) = 2r = x

Radius of semicircle (r) = ½x

Width of rectangle (W) = radius of semicircle = ½x

Use 3.14 as π

Area of the link shaded regions = area of rectangle - area of semicircle

Thus:

Area of the link shaded regions = (L*W) - (½*πr²)

Plug in the values

84 = (x*½x) - (½*3.14*(½x)²)

84 = x²/2 - (1.57*x²/4)

84 = x²(½ - 1.57/4)

84 = x²(0.5 - 0.3925)

84 = x²(0.1075)

Divide both sides by 0.1075

84/0.1075 = x²

781.4 = x²

√781.4 = x

27.9535329 = x

x = 28 cm

5 0
3 years ago
Simplify (x^6)(x^2)?
MArishka [77]

just sum the 2 power

6 + 2 = 8

x^8

3 0
3 years ago
Read 2 more answers
I really need help I don’t understand how to do this
krek1111 [17]

Answer:

Step-by-step explanation:

Remark

The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.

The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.

Solution

Sin(8) = 1817 / x           Multiply both sides by x

x*sin(8) = 1817             Divide by sin(8)

x = 1817/sin(8)

sin(8) = 0.1392

x = 1817/0.1392

x = 13055.7

Note

Watch how you do this. I would put it into your calculator as

1817

÷

sin(8)

=

If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).

8 0
2 years ago
R= 0.75s for s solving for a variable ANSWER PLEASE ASAP
Butoxors [25]

Answer:

S= 1.<u>3</u>r

Step-by-step explanation:

The 3 is underlined because it was suppose to go on top of the 3 but it didn't give me the option but that means infinity of 3

If you need more information you cant tell me hope this helped!

7 0
3 years ago
The price of a gallon of unleaded gas has dropped to 2.84 today. Yesterday's price was 2.89. Find the percentage decrease. Round
goldfiish [28.3K]

Answer: Answer: 2.1 %

Step-by-step explanation:

Decrease = initial price - final price

% decrease = [ (initial price - final price)  / initial price ] *100

% decrease =[ (2.89 - 2.83) / 2.89] * 100 =  2.08, which can be rounded to 2.1

8 0
2 years ago
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