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2 years ago

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

Mathematics

2 answers:

AleksAgata [21]2 years ago

8 0

H/5 = tan(60°)
h = 5tan(60°)
h = 5rt(3)
~F

dlinn [17]2 years ago

8 0

Answer:

The correct option is F. 5√3

Step-by-step explanation:

The length of the base is given to 5 units

Also, The length of hypotenuse is equal to the side of the equilateral triangle which is given to be 10

Now, we need to find the height of the equilateral triangle.

Also, The angle is given to be 90°

So. Applying Pythagoras theorem in the triangle :

a² = 10² - 5²

⇒ a² = 100 - 25

⇒ a² = 75

⇒ a = 5√3 units

Therefore, the correct option is F. 5√3

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Two prisms are similar and their ratio of similarity is 3:8.

trapecia [35]

Answer:

8.63 square units

Step-by-step explanation:

you must set up a proportion.

3 x

- = -

8 23

after you set up that proportion, cross multiply to find x.

8x = 69

divide by 8

x = 8.625, rounded to 8.63

5 0

2 years ago

Can y’all help me please

Setler79 [48]

Answer: 3 equal sides a 3 vertices

Step-by-step explanation:

6 0

2 years ago

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Can someone please help me?

Fittoniya [83]

Answer:

x²+4x+5

Step-by-step explanation:

i provided a picture explanation.

3 0

2 years ago

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Sergeu [11.5K]

Answer:

5 pints per hour.

Step-by-step explanation:

Morning:

Given:

Number of strawberries packed in every 4 minutes = 3

∴ Number of strawberries packed in every one minute = $\frac{3}{4}$

So, number of strawberries packed in every 60 minutes = $\frac{3}{4}\times 60=45$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 45 pints per hour in the morning.

Afternoon:

Number of strawberries packed in every 3 minutes = 2

∴ Number of strawberries packed in every one minute = $\frac{2}{3}$

So, number of strawberries packed in every 60 minutes = $\frac{2}{3}\times 60=40$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 40 pints per hour in the afternoon.

Difference between the packing rates is given as:

Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.

So, she packed 5 more pints in one hour in the morning than in the afternoon.

3 0

3 years ago

The following values of (x) and f(y) are given. Find the best value of (dy/dx) at

velikii [3]

Answer:

dy/dx at x=6 is 0.334

Step-by-step explanation:

The center difference method requires that the values of the function are given in equal intervals which is the case, and allows one to find the value for x = 6 using those of the function for x = 5.5 and for x = 6.5 as follows:

$\frac{dy}{dx} =\frac{3.7436-3.4096}{6.5-5.5} =0.334$

4 0

2 years ago