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3 years ago

BThe wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to the nearest hundredth?

Mathematics

1 answer:

xeze [42]3 years ago

3 0

Answer:

LM = 2.82 ft

MN = 2.39 ft

Step-by-step explanation:

We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF

LH // MJ // NK

GL / GH = LM / HJ = MN / JK

11.3 / 10.4 = LM / 2.6 = MN / 2.2

LM = 11.3 / 10.4 x 2.6 = 2.82

MN = 11.3 / 10.4 x 2.2 = 2.39

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(Round to the nearest tenth of a percent.) In 2011, the IRS increased the deductible mileage cost to

RUDIKE [14]

Answer:

$\%Change = 8.8\%$

Step-by-step explanation:

Given

$Initial = 51\ cents$

$Final = 55.5\ cents$

Required

Determine the percentage change

Percentage change is calculated as;

$\%Change = \frac{Final - Initial}{Initial} * 100\%$

$\%Change = \frac{55.5 - 51 }{51 } * 100\%$

$\%Change = \frac{4.5}{51} * 100\%$

$\%Change = \frac{4.5* 100\%}{51}$

$\%Change = \frac{450\%}{51}$

$\%Change = 8.8\%$

Hence, the percentage change is approximately 8.8%

6 0

2 years ago

An angle measure is 72.3 degrees. What is the measure of its complement? (I already tried 17.7 and that’s not correct).

Makovka662 [10]

Answer:

I got 17.7°

Step-by-step explanation:

Since a complimentary angle adds up to 90 degrees, this would be the right answer... does it require a degree symbol?

6 0

3 years ago

Find the distance (-4,5) and (7,18)

seropon [69]

Answer:

$\sqrt{290}\ units$

Step-by-step explanation:

The distance between points $(x_1,y_1)$ and $(x_2,y_2)$ is

$\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

Hence, the distance between points $(-4,5)$ and $(7,18)$ is

$\sqrt{(-4-7)^2+(5-18)^2}\\ \\=\sqrt{(-11)^2+(-13)^2}\\ \\=\sqrt{121+169}\\ \\=\sqrt{290}\ units$

3 0

2 years ago

0 = -1/14 x^2 + 4x +5 I need to solve for x but I don't get it, PLEASE EXPLAIN AND HELP!!

MariettaO [177]

Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]

0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:

x=-b+/-√(b²-4ac)
2a
a=1, b=(-56), c=70

x= -(-56)+/- √((-56)²-4(1)(70)
2(1)
x= 56+/- √(3136-280)
 2
x=56+/-√(2856)
 2
x=56+/-√(2³·3·119)
 2

x=56+/-2√(714)
 2

x=28+√714; x=28-√714

5 0

2 years ago

I don't understand !! PLEASE EXPLAIN I WOULD REALLY APPRECIATE IT(srry for caps)

Brrunno [24]

I think it is 2 and 7/5 because 2 7/5 equals 3 and 2/5

8 0

2 years ago

Read 2 more answers