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o-na [289]
3 years ago
5

20 POINTS / WILL GIVE BRAINLIEST

Mathematics
1 answer:
padilas [110]3 years ago
3 0

Answer: Total Volume =  15π + 18 π= 33π cubic mm

Step-by-step explanation:

What is the volume of the composite figure? Leave the answer in terms of π.

_33π mm3

We have a cone here conjoined to a semi-sphere.

so

Cone volume:  C = (1/3)*(πr^2) * h

semi-sphere volume :  V = (1/2)* (4/3) * (π * r^3)

r = 3 mm  and  h = 5mm

so   C = (1/3)*(π  (3)^2) * 5 =  15π  cubic mm

V = (1/2)* (4/3) * (π * 3^3) = 18 π cubic mm

Total Volume =  15π + 18 π= 33π cubic mm

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How do I do this please help me I will give you thank even tho it’s not important Ahahah please help me
xxTIMURxx [149]

Answer:

(-2 , 5)

(-1 , 0)

(1 , -4)

(3 , 0)

(4 , -5)

Step-by-step explanation:

<u>First solve the equation:</u>

x² - 2x - 3

<em><u>Find two numbers with have a sum of -2 and a product of -3.</u></em>

-3 and 1

(x - 3)(x + 1)

Solve for x:

x - 3 = 0

x = 3

x + 1 = 0

x = -1

You know that the graph will cross the x-axis at -1 and 3.

(-1 , 0)

(3 , 0)

You know that the graph is positive.

<u>Complete the square to find the vertex</u>

x² - 2x - 3

(x - 1)² = x² - 2 + 1

x² - 2x - 3 = x² - 2 + 1 - 2 = (x - 1)² - 2

1 = 0

x = 1

Substitute into the original equation:

x² - 2x - 3 =

1² - (2 * 1) - 3 =

1 - 2 - 3 =

-4

(1 , -4)

<em><u>You can input any two numbers within -10 and 10. Such as -2 and 4.</u></em>

x² - 2x - 3 =

-2² - (2 * -2) - 3 =

4- -4- 3 =

5

(-2 , 5)

x² - 2x - 3 =

4² - (2 * 4) - 3 =

16 - 8 - 3 =

-5

(4 , -5)

4 0
3 years ago
In ABC the measure of angle A is 2x+4 , the measure of angle B is 4x+2 , and the measure of angle C is 2x-1. What are the measur
Lynna [10]
(2x+4)+(4x+2)+(2x-1)=180
8x+5=180°
8x=180-5
8x=175
X=21.875
A= 2(21.875)+4=47.75
B=4(21.875)+2 =89.5
C=2(21.875)-1=42.75
5 0
3 years ago
Read 2 more answers
What is 4(3+x) and how do I solve it
anastassius [24]

Answer:

12 + 4x

Step-by-step explanation:

To solve this you would have to use the distributive property.

The problem would basically go like this.

4 (3+x)

(Distribute)

(4x3) (4 x X)

4x3 = 12, 4 x x = 4x

So the answer would be 12 +4x

Hope this helps :)

3 0
3 years ago
Read 2 more answers
(4 pts) If a rock is thrown vertically upward from the surface of Mars with an initial velocity of 15m/sec
Yuliya22 [10]

Answer:

Step-by-step explanation:

I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.

The position equation is

s(t)=-1.86t^2+15t  That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.

The first derivative of position is velocity:

v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):

0 = -3.72t + 15 and solve for t:\

-15 = -3.72t so

t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:

s(4.03) = -1.86(4.03)² + 15(4.03) so

s(4.03) = 30.2 meters.

Calculus is amazing. Much easier than most methods to solve problems like this.

7 0
2 years ago
Solve for the following equation step by step and justify your steps when using an exponential property.
mel-nik [20]

x = \frac{5}{7}

using the ' laws of exponents '

• a^{m} × a^{n} = a^{( m + n )}

•  a^{m} ÷ a^{n} = a^{(m - n)}

• (a^{m})^n = a^{mn}

7^{2} × 7^{3} = 7^{5} ÷ 7^{3x} = 7^{5 - 3x}

7^{4x} = 7^{5 - 3x}

equating the exponents since bases on both sides are 7

4x = 5 - 3x

7x = 5 ⇒ x =\frac{5}{7}




4 0
3 years ago
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