Find the area of an equilateral triangle with side length 4.6 cm. Round your answer to 1 DP.

Answers

Answer 1
10.58
The areas of a triangle is b*h / 2
4.6*4.6 = 21.16
21.16/2 = 10.58
This is because it is an equilateral triangle so all side lengths are the same
Answer 2

Answer:

A = 9.2 cm²

Step-by-step explanation:

A = 1/2 bh, you know the base = 4.6 and you need to find the height of the triangle.

Drawn the attitude of the equilateral triangle to the base and use a² + b² = c²

c = side of the triangle = 4.6 , b = 1/2 0f 4.6 = 2.3 . the attitude to the base ÷ the base in half.

a² + (2.3)² = (4.6)²

a² + 5.29 = 21.16

a² = 21.16 - 5.29

a² = 15.87

[tex]a = \sqrt{15.87}[/tex]  

Now we know the height of the triangle = [tex]\sqrt{15.87}[/tex] , the base = 4.6

A = 1/2bh

A = 1/2 (4.6)([tex]\sqrt{15.87}[/tex] )

A  = 9.1625

A = 9.2 cm²    or the A of any equilateral triangle = [tex]\frac{\sqrt{3} }{4} s^2[/tex]

                                              A = [tex]\frac{\sqrt{3} }{4} (4.6)^2[/tex]

                                              A = 9.1625

                                              A = 9.2


Related Questions

Write an equation of the line that passes through the points (3,6) and (4,9)

Answers

Answer:

y=3x-3

Step-by-step explanation:

slope = change in y/change in x

slope = 3/1 = 3

y-intercept = y value when x=0

 go 3u left, 3x3 = 9 so 9u down

 (0,-3)

slope = m = 3

y-int = b = -3

y=mx+b

y=3x-3

Find the quotion 19.00/
16

Answers

Answer:

1.1875

Step-by-step explanation:

19.00/16 is =1.1875

!!!NEED ANSWERS ASAP!!!! simplify 15 ÷ 3 +2 x 10

Answers

Answer:

70

Step-by-step explanation:

because 15 divided by 3 is 5+2=7 and 7 x 10=70

An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?

Answers

Answer:

$14 discount$56 discounted price

Step-by-step explanation:

The amount of the discount is ...

  20% of $70 = 0.20·$70 = $14 . . . discount

The discounted amount is ...

  $70 -14 = $56 . . . discounted price

1/2-1/3x=-4 solve the equation

Answers

Answer: x=-21/2

Step-by-step explanation:

1

2

1

1

3

Answer:

x=27/2

Step-by-step explanation:

1/2-1/3x=-4

subtract 1/2 from both sides

1/2+-1/3x -1/2=-4 -1/2

Group like terms

-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2

Combine the fractions

-1/3 ⋅ x+0=-4 -1/2

Convert the integer into a fraction

-1/3 ⋅ x=-8/2 -1/2

Combine.

-1/3 ⋅ x= -9/2

Isolate the x:

-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1

1x=-9/2 ⋅ 3/-1

x= -9 ⋅ -3/2

x=27/2 as your answer

PLEASE I AM IN DESPERATE NEED OF HELP

Answers

i think it’s the 3rd one
its the 3rd answer!!!

the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?

Answers

Answer:

since opp. angles of a parallelogram is equal.

therefore,

let the angle be x

thus,

x+x=140

2x=140

x=70°

co interior angles are supplimentary,

thus,

x+y=180

y=180-70

y=110°

opp. angles are equal thus,

fourth angle =110°

1st angle=70

2nd angle=70

3rd angle =110°

Step-by-step explanation:

Find: (4x2y3 2xy2 â€"" 2y) â€"" (â€""7x2y3 6xy2 â€"" 2y) Place the correct coefficients in the difference. X2y3 xy2 y.

Answers

The required coefficient is 11,-4 and 0.

Given expression is,

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)[/tex]

we have to find the coefficient of the above expression.

ON solving the above expression,

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=4x^{2} y^{3} +2xy^2-2y+7x^2y^3-6xy^2+2y[/tex]

[tex](4x^2y^3 + 2xy^2- 2y) -(-7x^2y^3 + 6xy^2-2y)=11x^2y^3-4xy^2+0y[/tex]

Hence from the above expression, it is clear that the coefficient of [tex]x^2y^3[/tex] is 11,[tex]xy^2[/tex] is -4 and [tex]y[/tex] is 0.

For more details on coefficient follow the link:

https://brainly.com/question/10702726

A truck is 2000 kg and has a cargo load of 1000 kg. Its speed is 50 km/h. The momentum for the truck and cargo is

Answers

Answer:

The momentum for the truck and cargo is 150000 kg·km/h

Step-by-step explanation:

p = mv

p = (2000 kg + 1000 kg)(50 km/h)

p = (3000 kg)(50 km/h)

p = 150000 kg·km/h

the fraction 26/5 is between which two numbers​

Answers

Answer:

[tex]\huge\boxed{5,6}[/tex]

Step-by-step explanation:

The fraction 26/5 can be simplified to 5 and 1/5, which is between the numbers 5 and 6.

Hope it helps :) and let me know if you want me to elaborate.

Aaden has a points card for a movie theater.
• He receives 20 rewards points just for signing up.
• He earns 2.5 points for each visit to the movie theater.
• He needs 40 points for a free movie ticket.
a
Write and solve an equation which can be used to determine x, the number of
visits Aaden must make to earn a free movie ticket.
What’s the awnser ?

Answers

Answer:

He needs 8

Step-by-step explanation:

40 - 20 = 20

2.5 x 8 - 20

aaden needs to visit the movies 8 more times

Answer:

8

Step-by-step explanation:

20+2.5x=40

x equal the number of visits adam need to make to earn a free movie ticket

2.5x=40-20

2.5x=20

x= 20/2.5

x=8

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

Can someone plss help me with this!!!

Answers

Answer:

10/1 or 10

Step-by-step ex planation:

The rate of change is just a fancy word for slope!

To find the slope of this line I found two points of the graph that were easy to determine.  Slope = rise/run

which is this case was rise 10 because the point went from 20 to 30 and the run being 1 because it was going from 1 to 2

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning from my mistakes:)

The students at the engineering conference ate more than 20 pizzas. The inequality x greater-than 20 represents the situation. Which graph represents the inequality?
A number line going from 15 to 25. An open circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. An open circle is at 20. Everything to the left of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the right of the circle is shaded.
A number line going from 15 to 25. A closed circle is at 20. Everything to the left of the circle is shaded.

Answers

Answer: Image A

Step-by-step explanation:

math

Answer:

A

Step-by-step explanation:

Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next

Answers

Answer:

it's A

Step-by-step explanation:

yeah-ya ............... right?

help fast it due at 11pm

Answers

Answer:

multiplying 14/15 by 5 then dividing by 7

Find the inverse of the function 6-5x

Answers

Answer:
-x/5 + 6/5
hope this helps!

You barrow 300$ for 5 years at an interest of 4% what is the interest you paid

Answers

Answer:

$60

Step-by-step explanation:

There's not enough information. We need to know how often the interest is compounded. I'll assume it's yearly. If not, you can apply the same method to what it actually is.

If it's compounded yearly that means it's going to be compounded 5 times so the equation becomes.

5*(300*4%)

which is:

5*(300*.04)

which becomes:

5*12

Which is:

$60

the selling price for a pair of jeans is 39.98. There is a 4.5% sales tax on all purchases. How much would it cost to buy the jeans?

Answers

Answer:

$41.78

Step-by-step explanation:

tax is 4.5% on top of original price of 39.98

so multiplying 39.98 by 1.045 gives us 41.78

you multiply by 1.045 because 4.5% is the same as 0.045 and the 39.98 represents 100% of the price so it is 1 and you are paying 104.5% of that price for it when tax is included

$41.78
you add the price and the sales tax to get the total amount

What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.

Answers

The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]

Given the following geometric sequence:

768, 480, 300, 187. 5

To determine the common ratio for the given geometric sequence:

The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.

Mathematically, the common ratio of a geometric sequence is given by the formula:

[tex]C=\frac{T_{n+1}}{T_n}[/tex]

Substituting the given parameters into the formula, we have;

[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]

Read more: https://brainly.com/question/13162487

30 POINTS! "A triangle with the side lengths of these numbers CAN exist: 9, 3, and ____?

Answers

Answer:

Let the third side be x

We know that

Sum of two sides of a triangle must be greater than the third side

So,

9 + 3 > x

12 > x (1)

Also, difference of two side of triangle must be smaller than the third side

9 - 3 < x

6 < x (2)

From 1 and 2 we concluded

6 < x < 12

The length of third side would lie between 7 to 11

Lynne walks dogs every day to earn money. The fees she charges per month are 1 dog,$40;2 dogs,$37.25 each;3 dogs,$34.50 each;4 dogs,$31.75 each. A pet store wants her to walk 8 dogs if the pattern continues, how much will Lynne charge to walk each of the 8 dogs.

Answers

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Answer:

Hence, the charge to walk each of the eight dogs is $ 20.75


Please help me solve this problem

Answers

Answer:

15

Step-by-step explanation:

Find the sum.
(7y+7)+(3m−3)+(8x+8)

Thanks!

Answers

if any doubt leave a comment

Hamid has gained weight.
he now weighs 88kg, this is 10% more than his normal weight.
what is hamids normal weight?

Answers

Answer:

174.6

Step-by-step explanation:

88 kg = 194.007 - 10%

194 * 10% = 194 - 19.4 = 174.6

ok how do i show work for this tho lolololoololololollloooooool

Answers

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

Please help me on question 32!!!

Answers

Let angles of triangle are 2x, 3x, and 7x

We know that,

Sum of the angles=180 deg

2x+3x+7x=180

12x=180

x=180/12

x=15

Smallest angle = 2x

=2×15

=30 deg

So, measure of smallest angle is 30 degree.

Which of the sets of ordered pairs represents a function?

A = {(3, −5), (4, 6), (3, 9), (2, 7)}
B = {(2, 4), (−1, 4), (5, 4), (4, 4)}

a
Both A and B

b
Only B

c
Only A

d
Neither A nor B

Answers

Answer:

B

Step-by-step explanation:

A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.

Therefore the answer is B, only B is a function.

The length of each side of a square is 3 inches more than the length of each side of a smaller square. the sum of the areas of the squares is 369 in.² find the length of the sides of the two squares

Answers

Answer:

Have you ever had a dream that, that, um, that you had, uh, that you had to, you could, you do, you wit, you wa, you could do so, you do you could, you want, you wanted him to do you so much you could do anything?

Step-by-step explanation:

It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need

Answers

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

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