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2 years ago

What is the length of the altitude of the equilateral triangle below?

Mathematics

1 answer:

ElenaW [278]2 years ago

5 0

Answer:

Step-by-step explanation:

the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).

10² = a² + 5²

100 = a² + 25

75 = a²

a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)

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Which of shakina's statements regarding acceleration and velocity is false? "when the acceleration is negative, the velocity can

Mekhanik [1.2K]

Let's start by imagining a rock being thrown to the air.
Let's say that going up is the positive direction and so, going down is the negative.
The acceleration is pointing down (because of gravity) so it's always negative. While the rock is going up, it's velocity/speed is positive, but the acceleration is negative.
While the rock is going down, both acceleration and speed are negative.
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3 years ago

What is the constant of proportionality in the table below?

kenny6666 [7]

Answer: $\dfrac{2}{5}$

Step-by-step explanation:

The constant of proportionality 'k' between two variables ( one independent and one dependent ) is given by :-

$k=\dfrac{\text{Value of dependent variable}}{\text{Value of independent variable}}$

In the given table, independent variable = Days

Dependent variable = Total Miles

From first row, Days = 3

Total Miles = $1\dfrac{1}{5}=\dfrac{6}{5}$

Then, the constant of proportionality in the table

$k=\dfrac{\dfrac{6}{5}}{3}=\dfrac{6}{5\times3}=\dfrac{2}{5}$

Hence, the constant of proportionality in the table is $\dfrac{2}{5}$ .

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3 years ago

Does the point given below occur on the line shown. Can you show the work please

Aneli [31]

No it doesn't. 2*0.5 + 5*0 = 1, not 19

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3 years ago

Two fair dice, one blue and one red, are tossed, and the up face on each die is recorded. Define the following events:

ZanzabumX [31]

Answer:

Step-by-step explanation:

Given that two fair dice, one blue and one red, are tossed, and the up face on each die is recorded.

a) P(E) = P(the difference of the numbers is 3 or more}

Favourable events are (1,4) (1,5)(1,6) (2,5) (2,6) (3,6) (4,1) (5,1) (5,2) (6,1) (6,2)(6,3)

P(E) = $\frac{12}{36} =\frac{1}{3}$

b)P(F)

Favourable events for F = (1,1) (2,2)...(6,6)

P(F) = $\frac{6}{36} =\frac{1}{6}$

c) P(EF)

There is no common element between E and F

P(EF) =0

4 0

2 years ago

Read 2 more answers

Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 2000/3[pie] in^3. One day, her sink clogged.

Kobotan [32]

I have these same questions but the way i solved them i did

A: 1/3 x 3.14 x 2*2 x 8 = 32/3 = 2000 divided by 32 = 63 scoops
The formula is 1/3 x 3.14 x r*2 x h
B: 1/3 x 3.14 x 8*2 x 8 = 128/3 = 2000 divided by 128 = 16 scoops

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2 years ago

What is the length of the altitude of the equilateral triangle below?​

What is the length of the altitude of the equilateral triangle below?