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valina [46]
3 years ago
14

What is the value of X?​

Mathematics
1 answer:
algol [13]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

ΔABC is 45 45 90 right triangle

The ratio of leg: hypo = a : a√2

Given: hypo  AC = 6√2; so AB = BC = 6

ΔBCD is 30 60 90 right triangle

The ratio of short leg : long leg  : hypo = x : x√3 : 2x

Hypo.  BC = 6 = 2 (3)

So short leg BD = x = 3

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Alexis wants to make a paperweight at pottery class. He designs a pyramid-like mode l with a base area of 100 square centimeters
olga55 [171]

Answer:

\frac{3}{2} g/cm²

Step-by-step explanation:

First, we need to find the volume of the prism. The volume of a square pyramid is V = Bh/3

B = 100 cm²

h = 6 cm

V = 100 cm² * 6 cm /3

V = 600 cm³ /3

V = 200 cm³

Next, we need to solve for the density based on the desired volume and mass.

m = mass = 300 g

V = volume

density = m/V

density = 300 g / 200 cm³

density = 3/2 g/cm³

The lowest possible density of the material to make the paperweight would be \frac{3}{2} g/cm²

4 0
3 years ago
Find the radius of a circle whose area equals the area of a rectangle that measures 2 ft. by 11 ft. (Use = 22/7). . . r = SQRT _
const2013 [10]
The area of a rectangle is calculated through the equation, V = L x W. That of the circle is equal to V = πr². These areas should be equal,
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Substituting the known values,
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The value of r is sqrt 7. 
4 0
4 years ago
What is the slope of the line through (3, 2) and (-3, 4)?
OlgaM077 [116]

Answer:

- 1/3

Step-by-step explanation:

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2 years ago
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3 years ago
Dante creates pottery. He brought 40 pieces to a show at the fall festival. When he went to the spring carnival, he brought 15%
Rudiy27

Answer:

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Step-by-step explanation:

6 0
3 years ago
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