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kolezko [41]
3 years ago
15

Use the points (1997, 13) and (2005, 22) to write the slope intercept form of an equation for the line of fit shown in the scatt

er plot. Round values to the nearest hundredth.
A. y=0.89x+1985.44
B. y=1.13x-2243.65
C. y=1.13x-2233.63
D. y=0.89x-1985.44

Mathematics
1 answer:
Rainbow [258]3 years ago
6 0
Answer: C. y=1.13x-2233.63
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Need to find volume, step by step explanation pls <br><br><br><br>​
worty [1.4K]

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

V_1=\dfrac{2}{3}\pi r^3

Where, r is the radius of the hemisphere.

V_1=\dfrac{2}{3}(3.14)(6)^3

V_1=\dfrac{6.28}{3}(216)

V_1=452.16

Volume of cylinder is:

V_2=\pi r^2h

Where, r is the radius of the cylinder and h is the height of the cylinder.

V_2=(3.14)(6)^2(12)

V_2=(3.14)(36)(12)

V_2=1356.48

We know that,

l^2=r^2+h^2                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

(10)^2=(6)^2+h^2

100-36=h^2

\sqrt{64}=h

8=h

Volume of cone is:

V_3=\dfrac{1}{3}\pi r^2h

Where, r is the radius of the cone and h is the height of the cone.

V_3=\dfrac{1}{3}(3.14)(6)^2(8)

V_3=\dfrac{25.12}{3}(36)

V_3=301.44

Now, the volume of the combined figure is:

V=V_1+V_2+V_3

V=452.16+1356.48+301.44

V=2110.08

Therefore, the volume of the given figure is 2110.08 cubic units.

7 0
2 years ago
Solve, using linear combination. 5x + y = 2 4x + y = 4
mylen [45]
I hope this helps you

3 0
3 years ago
F(x)=-2x+4<br><br> find domain and range
Arturiano [62]

Domain: All real numbers

Range: All real numbers

Since the function is linear it is a continuous straight line meaning that the domain and range are all real numbers.

3 0
1 year ago
For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many stud
Helen [10]

Answer:

8x + 11= 315

Step-by-step explanation:

Let x = the number of students in a bus

There are 8 buses

8x is the number of students in buses

There are 11 students in cars

Add this together to get all the students, which is 315

8x + 11= 315

6 0
3 years ago
Read 2 more answers
Please help me!<br> [One Step Inequalities]
ivann1987 [24]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
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