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lara [203]
3 years ago
11

Find the volume. Thanks!!!

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

Step-by-step explanation:

slant height is given. Using Pythagorean theorem to find height.

h² = 10² - 5²

= 100 - 25

h² = 75

h = √75

h = 8.66 cm

Volume =(1/3)πr²h

=\frac{1}{3}*3.14*5*5*8.66\\\\=\frac{679.83}{3}\\\\

= 226.62 cubic cm

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Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length
yawa3891 [41]

Answer:

Length of the canal on the map is 16.4 centimeters.

Step-by-step explanation:

If actual length of Panama Canal = 20 kilometers

and length of the canal on map = 4 centimeters

Then scale factor = \frac{\text{Length of canal on map}}{\text{Actual length of canal}}

= \frac{4}{20}

= \frac{1}{5}

If the actual length of Panama Canal = 82 kilometers

Then the length of canal on the map = Actual length × Scale factor

= 82\times \frac{1}{5}

= 16.4 centimeters

Therefore, length of the canal on the map is 16.4 centimeters.

4 0
3 years ago
Plsss help it’s due today in an hour!!! (test grade)
Rudik [331]

Answer:

the area is 50.24 cm^{2}.

Step-by-step explanation:

The formula to find area of a circle is A=πr^{2}. A is area, and r is for radius. Since we have the diameter here, we just need to divide by 2 to find the radius. 8÷2=4, so there, the radius is 4. Now we need to square 4, and do 4x4, which equals 16. Now to multiply 16 by π, or 3.14. 16 x 3.14 = 50.24. The final answer is 50.24 cm^{2}. Hope this helped! :]

8 0
3 years ago
Lesson 4-3 Dividing Mixed Numbers Practice and Problem Solving: A/B
muminat

Answer:

<h3>Reciprocals are: </h3>

1) 10 1/2 = 21/2

Reciprocal will be 2/21

2) 6 3/7 = 45/7

Reciprocal will be 7/45

3) 2 8/9 = 26/9

Reciprocal will be 9/26

4) 15 1/4 = 61/4

Reciprocal will be 4/61

5) 9 2/3 = 29/3

Reciprocal will be 3/29

6) 7 5/8 = 61/8

Reciprocal will be 8/61

<h3>Divide</h3>

7) 8/10 divide by 1 5/6

8/10 divide by 11/6

or 8/10 * 6/11

4/5* 6/11

24/55

8) 2 divides by 1 6/7

2 divides by 13/7

2 * 7/13

14/13

1 1/13

9) 3 3/5 divides by 2 1/4

18/5 divides by 9/4

18/5 * 4/9

8/5

1 3/5

10) 4 1/2 divides by 2 3/8

9/2 divides by 19/8

9/2 * 8/19

36/19

1 17/19

11) 5 5/6 divides by 3 1/6

35/6 divides by 19/6

35/6 * 6/19

35/19

1 16/19

12) 11/12 divides by 2 5/8

11/12 divides by 21/8

11/12 * 8/21

22/63

13) 1 9/13 divides by 3/8

22/13 divides by 3/8

22/13 * 8/3

176/39

4 20/39

14) 6 4/5 divides by 3 2/9

34/5 divides by 29/2

34/5 * 2/29

68/145

15) 9 2/3 divides by 6 8/9

29/3 divides by 62/9

87/62

1 25/69

<h3>Division problem</h3>

Width of patio = 5 2/3 feet

Area of patio = 36 5/6 sq. feet

Length will be: area /width

36 5/6 divides by 5 2/3

221/6 divides by 17/3

221/6 * 3/17

13/2

6 1/2 feet

Length is 6 1/2 feet, that means we can place the concrete patio on a 7 foot picnic table.

17) Area of mirror = 225 sq. inches

Width of mirror = 13 3/4 inches.

Length of mirror will be=area/ width

225 divides by 13 3/4

225 divides by 55/4

225 * 4/55

180/11

16 4/11

The width of mirror will be 16 4/11 feet. It is greater than 16 feet. Therefore mirror can't be fit in a space of 15 inches by 16 inches.

18) Total length of fabric = 16 1/5 yards

One fabric piece size= 5 2/5

Number of fabric pieces will be= total length/ 1 fabric length

16 1/5 divides by 5 2/5

81/5 divides by 27/5

81/5*5/27

3

There will be total 3 pieces of size 5 2/5 yards.

3 0
3 years ago
27<br> x 9<br> How do I solve this
Tanya [424]

Answer:

you muliply first 9×7 and then carry the remainder to the other side and then 9×2 and add the remainder

5 0
2 years ago
Read 2 more answers
Find the value of x in the solution to the system of equations shown. y = 4x - 3 y= -x - 13
Kamila [148]

Answer:

B (-2 , -11)

Step-by-step explanation:

hello : the system is :

y = 4x - 3

y= -x - 13

put x = -2

y = 4(-2) - 3=- 11

y= -(-2) - 13 = -11

4 0
3 years ago
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