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3 years ago

What is the first 6 nonzero multiples of 5

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

How many multiples? I'll give you the first 10

1- 5
2- 15
3- 25
4- 35
5- 45
6- 55
7- 65
8- 75
9- 85
10- 95

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What is the volume of a pyramid whose base is a square of area 36 and whose four faces are equilateral triangles?

irina1246 [14]

Answer:

$V = 36\sqrt{2}$

Step-by-step explanation:

The volume of a pyramid is

$V = \dfrac{1}{3}Bh$

where B = area of the base, and h = height of the pyramid

The base is a square.

$A = s^2$

$s = \sqrt{A}$

$s = \sqrt{36}$

$s = 6$

The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.

An altitude of this triangle measures

$a = \sqrt{6^2 - 3^2}$

$a = \sqrt{27}$

The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.

$h = \sqrt{(\sqrt{27})^2 - 3^2 }$

$h = \sqrt{27 - 9}$

$h = \sqrt{18}$

$h = 3 \sqrt{2}$

Volume of the pyramid:

$V = \dfrac{1}{3}Bh$

$V = \dfrac{1}{3}(36)(3\sqrt{2})$

$V = 36\sqrt{2}$

5 0

3 years ago

Ms. Day went shopping last week and spent a total of $120. Blankets cost her $16 while pillows cost her $10. Altogether, she bou

Crazy boy [7]

Answer:

Ms. Day bought 5 blankets and 4 pillows.

Step-by-step explanation:

Let $x$ denotes number of blankets and $y$ denotes number of pillows.

Blankets cost her $16 while pillows cost her $10 and Ms. Day spent a total of $120.

$16x+10y=120$

Divide this equation by 2.

$8x+5y=60\,\,...(i)$

Ms. Day bought 9 items.

$x+y=9$

Multiply this equation by 5.

$5x+5y=45\,\,...(ii)$

Subtract $(ii)$ from $(i)$

$3x=15\\x=5$

Put $x=5$ in $x+y=9$

$5+y=9\\y=9-5\\y=4$

Therefore,

Ms. Day bought 5 blankets and 4 pillows.

4 0

2 years ago

Rama jumps 2m 30cm long and swathi jumps 2m 60cm in a competition what is the total distance they jumped together

Furkat [3]

Answer:

Step-by-step explanation:

2 m 30 cm

2 m 60 cm

_________

4m 90cm

8 0

3 years ago

Chapter 2

Mashutka [201]

Answer:

11.20

Step-by-step explanation:

Multiply both equations by 100:

19.99=1999

8.79=879

1999-879=1120

Divide by 100:

1120/100=11.20 saved ................

5 0

2 years ago

In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of

dybincka [34]

Answer:

154,897

Step-by-step explanation:

Labradors were

6997 MORE than 15 TIME Danes

So, first, what is 15 times Danes??

Given 9860 Danes, fifteen times Danes would be:

9860 * 15 = 147,900

Now, 6997 MORE to that, it would be:

147,900 + 6997 = 154,897

Thus,

There were 154,897 registered Labrador Retrievers

8 0

3 years ago