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Fynjy0 [20]
2 years ago
8

Can someone please answer this! I will give BRAINLIEST for the best answer I get. The photo below has the question, so please an

swer the question.

Mathematics
1 answer:
Nadya [2.5K]2 years ago
5 0

Answer:

453.73cm³

Step-by-step explanation:

V

=

π

r

2

h

3

3.14×8.5²×6/3=453.73

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

5 0
3 years ago
Solve the system of linear equations by elimination.<br><br> −2x−5y=9<br> 3x+11y=4
goldenfox [79]

Answer:

x=-17, y=5. (-17, 5).

Step-by-step explanation:

-2x-5y=9

3x+11y=4

---------------

3(-2x-5y)=3(9)

2(3x+11y)=2(4)

---------------------

-6x-15y=27

6x+22y=8

-----------------

7y=35

y=35/7

y=5

3x+11(5)=4

3x+55=4

3x=4-55

3x=-51

x=-51/3

x=-17

3 0
3 years ago
Help meee pleasee:)))
Crazy boy [7]

7+z / 2

z = 10

 replace the value of z

7 +10 /2

 use order of operations ( division comes before addition)

7+5 = 12

3 0
3 years ago
Read 2 more answers
What is 2(c+7)=2c+14
liq [111]

2(c+7)=2c+14

Use distributive property

2*c +2*7

2c+14=2c+14

Hope it helps!

3 0
2 years ago
A secret code is made up of three digits followed by
kari74 [83]
Most likely 10 because the initial amount is 5
5 0
3 years ago
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