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Ipatiy [6.2K]
2 years ago
11

The altitude of an equalateral triangle is 6√3 units long what is the length on one side of the triangle a. 12 b. 6 c. (7√3)/2 d

. 14√3
Mathematics
1 answer:
stira [4]2 years ago
6 0

Answer:

A. 12

Step-by-step explanation:

If we split an equalateral triangle down, it will become 2 30-60-90 triangles. Remember your 30-60-90 triangle rules.

6√3 = x√3, so x = 6

2(6) (for hypotenuse) = 12

Since the hypotenuse is one side of the bigger triangle, we have our final answer of 12.

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A spherical balloon has a circumference of 25 cm.
ArbitrLikvidat [17]

Answer:

See below ↓↓

Step-by-step explanation:

<u>Finding the radius</u>

  • C = 2πr
  • 25 = 2 x 3.14 x r
  • r = 25 / 6.28
  • r = 3.98 cm ≅ 4 cm

<u />

<u>Surface Area</u>

  • 4πr²
  • 4 x 3.14 x 4 x 4
  • 3.14 x 64
  • 200.96
  • <u>201 cm²</u>

<u></u>

<u>Volume</u>

  • 4/3πr³ = 4πr² x r/3
  • 201 x 4/3
  • 67 x 4
  • <u>268 cm³</u>
4 0
2 years ago
What is the midpoint of line segment AB?
Elza [17]

Answer

Midpoint = (3, 5.5)

Step by step explanation

Here we have to use the midpoint formula.

Midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} \\)

Here the point A = (-1, 8) and B = (7, 3)

x1 = -1, y1 = 8, x2 = 7 and y2 = 3

Now plug in these values into the formula.

Midpoint = (\frac{-1 + 7}{2} , \frac{8 + 3}{2}

= (6/2, 11/2)

= (3, 5.5)

Therefore, the midpoint the line segment AB is (3, 5.5)

Thank you.


8 0
3 years ago
Read 2 more answers
If f(x)=2x²-x find f(-3)
ivolga24 [154]

Answer:

21

Step-by-step explanation:

f(x) = 2x^2 - x

f(-3) = 2*(-3)^2 - (-3)

=2*9 +3

=18 +3

=21

3 0
3 years ago
Read 2 more answers
24. The farmer's market has strawberries that sell for $5 per pound and cherries that sell for $3 a pound. Write an
mylen [45]

Answer:

5s+3c=30

Step-by-step explanation:

6 0
3 years ago
Find the equation of the line containing the points (0,3) and (1,8)
Tema [17]

Answer:

y = 5x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)

m = \frac{8-3}{1-0} = 5

Note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = 5x + 3 ← equation in slope- intercept form

5 0
3 years ago
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