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3 years ago

An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

4√3cm^2

Step-by-step explanation:

we know that the area of equilateral triangle is √3/4a^2

dexar [7]3 years ago

6 0

Answer:

8cm²

Step by step explanation:

A= ½×4cm×4cm

A= ½×16cm²

A= 8cm²

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5. MAPPING Ben and Kate are making a

Rainbow [258]

Answer:

a. 1,000 yards

b. (2, -1)

Step-by-step explanation:

Coordinates of Ben's House = (6, 2)

Coordinates of Kate's House = (-2, -4)

a. Number of yards between Kate and Ben's House using instance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .

$d = \sqrt{(6 -(-2))^2 + (2 -(-4))^2}$

$d = \sqrt{(8)^2 + (6)^2}$

$d = \sqrt{64 + 36}$

$d = \sqrt{100}$

$d = 10 units$

1 unit = 100 yards

Therefore, 10 units = 1,000 yards.

Kate and Ben's House are 1,000 yards apart.

b. Since Jason's home is halfway between Ben and Kate's House, therefore, Jason's location is the midpoint between Ben and Kate's House. Use the midpoint formula to calculate the coordinates of Jason's location on the map, using (6, 2) and (-2, -4).

$M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})$

Plug in the values

$M(\frac{6 +(-2)}{2}, \frac{2 +(-4)}{2})$

$M(\frac{4}{2}, \frac{-2}{2})$

$M(2, -1)$

6 0

3 years ago

For the function f(t)+Pe^rt, if P = 8 and r = 0.08, then what is the value of f(8) to the nearest tenth?

Bogdan [553]

F(t) = P.e^(r.t) [ and not as you wrote it f(t)+Pe^rt]
plug in:

f(t) = 8.e^(0.08t) (where e = 2.718 and t=8 given, f(8))
f(8) = 8.(2.718)^(0.08*8) = 21.74^(0.64)

f(8) = 7.17

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3 years ago

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Pls help I’ll brainlest ASAP

labwork [276]

Answer:

He is 15 years old.

Step-by-step explanation:

I hope this helps :)

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3 years ago

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