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2 years ago

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HELP ASAP PLEASE

1 answer:

bearhunter [10]2 years ago

3 0

I think is D,,,,,,,,,,,,,,,,,,,,

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Which statements about finding the area of the equilateral triangle are true? Check all that apply.

lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

$b=\frac{BC}{2}=\frac{8.7}{2}=4.35$

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

$OC^2=OD^2+DC^2$

$5^2=a^2+(4.35)^2$

$25=a^2+18.9225$

$a=\pm 2.46526$

$a\approx\pm 2.5$

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

$tan(30^{\circ})=\frac{a}{b}$

$\frac{1}{\sqrt{3}=\frac{a}{4.35}$

$a\approx\pm 2.5$

Therefore option 2 is correct.

The perimeter of an equality triangle is

$P=3a=3(8.7)=26.1$

Option 3 is incorrect.

$A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77$

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0

3 years ago

Read 2 more answers

What is the slope of the line that goes through the points (-4,2) and (8,5)?

trapecia [35]

Hello,

y = ax + b where a is the slope

We have A(-4 ; 2) and B(8 ; 5)

$a = \frac{yb - ya}{xb - xa} = \frac{5 - ( - 4)}{8 - 2} = \frac{9}{6} = \frac{3 \times 3}{3 \times 2} = \frac{3}{2}$

→ Slope : 3/2

4 0

1 year ago

What is the sum of two numbers that do not have a common factor?

damaskus [11]

Are you looking for the the term

4 0

3 years ago

Which graph represents the function g(x) = |x + 4| +2

insens350 [35]

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

7 0

3 years ago

Read 2 more answers

How do you work out this problem, step by step please I am so lost. Year Average Household Income (before taxes) Food Housing Tr

Hitman42 [59]

Answer:

(a)Food-12%

9b)Transportation-17%

Step-by-step explanation:

In the Year 2000

Average Household Income (before taxes)=$44,649
Amount Spent on Food =$5,158
Amount Spent on Transportation=$7,417

Therefore:

(a)Percentage of the average household income in 2000 was spent on food

$=\dfrac{5158}{44649} \times 100\\\\=11.55\%\\\\\approx 12\% $(to the nearest percent.)$

(b)Percentage of the average household income in 2000 was spent on transportation

$=\dfrac{7,417}{44649} \times 100\\\\=16.6\%\\\\\approx 17\% $(to the nearest percent.)$

3 0

3 years ago