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2 years ago

A stock market fell 40 points each day for

Mathematics

1 answer:

Montano1993 [528]2 years ago

7 0

Answer: -120

Step-by-step explanation:

-40 X 3 = -120

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A right square pyramid with base edges of length $8\sqrt{2}$ units each and slant edges of length 10 units each is cut by a plan

seropon [69]

Answer:

32 $unit^{3}$

Step-by-step explanation:

Given:

The slant length 10 units
A right square pyramid with base edges of length 8 $\sqrt{2}$

Now we use Pythagoras to get the slant height in the middle of each triangle:

$\sqrt{10^{2 - (4\sqrt{2} ^{2} }) }$ = $\sqrt{100 - 32}$ = $\sqrt{68}$ units

One again, you can use Pythagoras again to get the perpendicular height of the entire pyramid.

$\sqrt{68-(4\sqrt{2} ^{2} )}$ = $\sqrt{68 - 32}$ = 6 units.

Because slant edges of length 10 units each is cut by a plane that is parallel to its base and 3 units above its base. So we have the other dementions of the small right square pyramid:

The height 3 units
A right square pyramid with base edges of length 4 $\sqrt{2}$

So the volume of it is:

V = 1/3 *3* 4 $\sqrt{2}$

= 32 $unit^{3}$

5 0

3 years ago

Make a the subject of a2+b2=c2

wel

Answer:

$a=\sqrt{c^2-b^2$

⇒ $a=\sqrt{(c+b)(c-b)}$ [Factorized form]

Step-by-step explanation:

Given expression:

$a^2+b^2=c^2$

We need to make $a$ the subject.

In order to do that we need to solve the expression for $a$ in terms of $b$ and $c$

We have,

$a^2+b^2=c^2$

Subtracting both sides by $b^2$

$a^2+b^2-b^2=c^2-b^2$

$a^2=c^2-b^2$

Taking square root both sides in order to remove square of $a$

$\sqrt{a^2}=\sqrt{c^2-b^2}$

$a=\sqrt{c^2-b^2$

The difference of squares can be factorized and written as:

$a=\sqrt{(c+b)(c-b)}$ [difference of squares $x^2-y^2=(x+y)(x-y)$ ]

4 0

3 years ago

Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get t

topjm [15]

Answer: 158

Step-by-step explanation:

Okay so the total is 9 5/10.

Each party goer needs 6/10

So 95/10 / 6/0=. 95/10x10/6

=950/6 = 158.

7 0

2 years ago

If -10 is subtracted from a number, the result is 6. what is the number?

brilliants [131]

Subtracting a negative number is the same as adding a positive number

assume your number is n

n - (-10) = 6
n + 10 = 6

subtract 10 from both sides

3 0

3 years ago

Read 2 more answers

A cell phone company charges $4 per GB beyond

MArishka [77]

Answer:

25GB was used that month

Step-by-step explanation:

Here, we want to calculate the GB used for the month.

Since we have $59.99 for 20GB, then the extra that brought the bill to $75.99 must have been from the beyond charges.

The extra charges is thus $75.99 - $59.99 = $20

Now, since $4 is charged as extra and we have a total of $20, the number of extra GB is thus 20/4 = 5

So the total GB for that month is 20 + 5 = 25GB

8 0

3 years ago