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RUDIKE [14]
1 year ago
6

Please help me please

Mathematics
1 answer:
Murrr4er [49]1 year ago
4 0

The volume of cone B will be 6 cubic units.

<h3>What is the volume of the cone?</h3>

Let h be the height of the cone and A be the base area of the cone.

Then the volume of the cone will be

Volume = (1/3) × A × h

Consider cone A and cone B.

The bases of the cones are congruent.

The height of cone A is 4 times larger than the height of cone B.

\rm h_a = 4h_b

The volume of cone A is 24.

24 = (1/3) Ahₐ

Then the volume of the cone B will be

\rm V = (1/3)Ah_b

Simplify the expression, then the volume will be

V = 1/4 x (1/3)Ahₐ

V = 1/4 x 24

V = 6 cubic units

The volume of cone B will be 6 cubic units.

More about the volume of the cone link is given below.

brainly.com/question/1984638

#SPJ1

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Given logx 2=p and logx 7=q , express log7 4x³ in terms of p and q.​
Ksju [112]

Answer: (2*p + 3)/q

Step-by-step explanation:

First, let's remember the relationships:

Logₙ(a) = Ln(a)/Ln(n)

Ln(A*B) = Ln(A) + Ln(B)

Ln(a^n) = n*Ln(a)

Now, we know that:

Logₓ(2) = p

Logₓ(7) = q

We want to express:

Log₇(4*x^3) in terms of p and q.

First, we can rewrite the first two relations as:

Ln(2)/Ln(x) = p

Ln(7)/ln(x) = q

then we have:

Ln(2) = p*Ln(x)

Ln(7) = q*Ln(x)

Ok:

Now let's play with our equation:

Log₇(4*x^3)

First, this is equal to:

Ln(4*x^3)/Ln(7)

We now can rewrite this as:

(Ln(4) + Ln(x^3))/Ln(7)

= (Ln(2^2) + Ln(x^3))/Ln(7)

= (2*Ln(2) + 3*Ln(x))/Ln(7)

Now we can replace Ln(2) by p*Ln(x) and Ln(7) by q*Ln(x)

(2*p*Ln(x) + 3*Ln(x))/(q*Ln(x)) = (2*p + 3)/q

This is the expression we wanted.

8 0
3 years ago
Will someone plzz help
lbvjy [14]

Answer:

4.4 days

Step-by-step explanation:

375 x 0.14 = 52.5

300 - 52.5 = 247.5

247.5 / 55.98 = 4.42 days

3 0
3 years ago
Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of
jeka57 [31]

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

c^2=a^2+b^2-2ab\cos C

a = 33 cm, b = 37 cm and C is 120°

So,

c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm

So, the length of the third side of the triangle is 60.65 cm.

7 0
2 years ago
The answer for the simplest form
grigory [225]
The simplest form is 11/24.
3 0
3 years ago
If Jaliya has 5 paintings and paints 6 more how much does she have now?
matrenka [14]

Answer:

11

Step-by-step explanation:

5+6

4 0
3 years ago
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