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Anna11 [10]
2 years ago
13

A cylindrical container of height 18 cm is open at one end. If the radius of the

Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

Step-by-step explanation:

A = πR² + 2πRh

A = πR(R + 2h)

A = π(10)(10 + 2(18))

A = 460π

A = 1,445.1326...

A = 1445.13 cm²

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Triangle ABC has AB=5, BC=7, and AC=9. D is on AC with BD=5. Find the length of DC
e-lub [12.9K]

Answer:

DC=\frac{8}{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The triangle ABD is an isosceles triangle

because

AB=BD

The segment BM is a perpendicular bisector segment AD

so

<em>In the right triangle ABM</em>

Applying the Pythagorean Theorem

BM^2=AB^2-AM^2

we have

AB=5\ units\\AM=x\ units

substitute

BM^2=5^2-x^2

BM^2=25-x^2 -----> equation A

<em>In the right triangle BMC</em>

Applying the Pythagorean Theorem

BM^2=BC^2-MC^2

we have

BC=7\ units\\MC=AC-AM=(9-x)\ units

substitute

BM^2=7^2-(9-x)^2

BM^2=49-(81-18x+x^2)  

BM^2=49-81+18x-x^2

BM^2=-x^2+18x-32 ----> equation B

equate equation A and equation B

-x^2+18x-32=25-x^2

solve for x

18x=25+32\\18x=57\\\\x=\frac{57}{18}

Simplify

x=\frac{19}{6}

<em>Find the length of DC</em>

DC=AC-2x

substitute the given values

DC=9-2(\frac{19}{6})

DC=9-\frac{19}{3}\\\\DC=\frac{8}{3}\ units

8 0
3 years ago
12 POINTS! HELP ASAP!!
Aleks [24]

Answer:

(2,-4)

Step-by-step explanation:

When a point (x,y) is reflected across the y-axis, you need to change the sign of x. For example, if (-x,y) you need to take away the negative sign, which makes (x,y). Or, if the point is (x,y), you need to add a negative sign to the x, which makes (-x,y). So, if your point (-2, -4) is reflected across the y-axis, you need to take the negative sign off the -2, which makes (2,-4).

6 0
2 years ago
If a tennis ball has a diameter of 14, What is the volume of the tennis ball in terms of pie?
katrin [286]

Answer:

the volume of the tennis ball is 1436

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
1258 rounded to the nearest thousands
GarryVolchara [31]
The answer to your problem is 1300.
5 0
3 years ago
Read 2 more answers
Two more than 3times and the number is 17 find the number​
Nonamiya [84]

Answer:

5

Step-by-step explanation:

Let the number be x

Therefore 3times the number will be 3x

3x + 2= 17

3x =17-2

3x=15

x=15/3

x= 5

5 0
2 years ago
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