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Dominik [7]
3 years ago
10

Find the volume and tell me if cavalieri's principle applies to the 2 figures. Show work

Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

960vol cavalieri's principle applies

Step-by-step explanation:

8x6x20 for vol

"Cavalieri's Principle. If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal "(Kern and Bland 1948)

both same height both equal in all ways

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Expand to write an equivalent expression <br> -1/4 (-8x + 12y)
Tanzania [10]

The equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y

<h3>Expansion of expression</h3>

Expansion of expression can be carried out using the distributive rule a shown:

A(B + C) = AB + AC

Note that <u>A is distributed over B and C</u>
Given the expression

-1/4 (-8x + 12y)

-1/4(-8x) - 1/4(12y)

2x - 3y

Hence the equivalent expression on expanding -1/4 (-8x + 12y) is 2x - 3y

Learn more on expansion here: brainly.com/question/26430239

#SPJ1

7 0
2 years ago
Find Y <br>.............. ​
N76 [4]

Answer:

y = 40 / sqrt(pi)

Step-by-step explanation:

The area is 400

We want to find the diameter

400 = pi r^2

Divide each side by pi

400/ pi = r^2

Take the square root of each side

sqrt(400/ pi) = sqrt(r^2)

20/ sqrt(pi) = r

The diameter is twice the radius

2 r = d

2 * 20/ sqrt(pi) = d

40 / sqrt(pi) =d

y is the diameter so

y = 40 / sqrt(pi)

4 0
3 years ago
Sumi rides at a constant speed of 10 ft/s. Write an equation that expresses the distance d that sumi has traveled as a function
Shtirlitz [24]

Answer:

d = 10s

Step-by-step explanation:

The formula for calculating the speed of Sumi is expressed as;

Speed = distance/time

Given

Speed = 10ft/s

time = s seconds

Required

Distance travelled as a function of time;

from the formula;

Distance = Speed * time

Distance = 10 * s

d = 10s

Hence the equation that expresses the distance d that sumi has traveled as a function of the time s in seconds since she started riding her bike is;

d = 10s

3 0
3 years ago
For the piecewise Function below, which of the following statments is true? Someone please help me
AysviL [449]
The first one and the third one are correct. because for the when you plug 1 on the first piece wise function you get 3.

f(3) =1. and f(1)=3 so f(1)>f(3)
4 0
3 years ago
Read 2 more answers
A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday
chubhunter [2.5K]

Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.

Step-by-step explanation:

  • Step 1: Find equation for Thursday's sales.

Given b = price of a loaf of bread and m = price of one liter of milk

Total sales = €10.90

Equation ⇒ 4b + 5m = €10.90

  • Step 2: Find the values of b and m.

3b + 2m = 6.25 ----- (1)

4b + 5m = 10.90 ---- (2)

Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.

15b + 10m = 31.25

8b + 10m = 21.8

Subtract eq(2) from eq(1)

⇒ 7b = 9.45

⇒ b = 9.45/7 = €1.35

Substitute for b and find m using eq(1).

⇒ 3 × 1.35 + 2m = 6.25

⇒ 4.05 + 2m = 6.25

⇒ 2m = 2.2

∴∴ m = 2.2/2 = €1.1

8 0
3 years ago
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