Please HELP ME ON THIS MATH WRITTEN RESPONSE QUESTION.. THANK YOU
1 answer:
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Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base =
=
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base =
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead =
=
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
Answer:
:^
Step-by-step explanation:
- sorry I couldn't type the equation so I took a screenshot
Simplification of the equation is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.
As given in the question,
Given equation
Simplify the given equation,
x/ 3(x+3) - 8/x(x+3)
= (x² - 24) / 3x(x+3)
Restriction on the variables for the above equation is,
x≠ 0 , x≠ -3
Therefore, simplification of the equation is equal to (x² -24)/ 3x(x+3), restriction on the variables are x ≠0 , x≠ -3.
Learn more about variables here
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The cost of downloading the app and downloading 30 songs is $40.7
Step-by-step explanation:
The equation can be written using slope-intercept form
Let x be the number of songs
Then
$1.29 per song will be written as
1.29x
for x number of songs
The initial charges are $2 so the equation will be:
To find the cost of 30 songs, we have to put x= 30
So,
Hence,
The cost of downloading the app and downloading 30 songs is $40.7
Keywords: Functions, slope
Learn more about functions at:
#LearnwithBrainly