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Elina [12.6K]
3 years ago
13

Please help me solve this question

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

50

Step-by-step explanation:

Use pythagoreom theorem to determine the length of the hypotenuse:

a² + b² = c²

- assign side a to 30 and side b to 40

30² + 40² = c²

90 + 160 = c²

250 = c²

Now square root both sides to isolate side c:

√250 = √c²

50 = c

side c = 50

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How many L of an 85% alcohol solution must be mixed with 6 L of a 55% alcohol solution to make a 65% solution?
zepelin [54]

Answer:

3 Liters of the 85% Solution

Step-by-step explanation:

You have to draw your buckets. I can't on computer so imagine the fraction bar is the bottom of the buckets.

\frac{85}{x}+\frac{55}{6}=\frac{65}{x+6}

Then we multiply the top of the buckets with the bottom:

85x+330=65x+390

Now we simplify and solve

20x=60

x=3

You need 3 liters of the 85% solution!

4 0
3 years ago
ANSWER CORRECTLY AND YOU WILL GET BRAINLIEST
Anika [276]

Answer:

20

Step-by-step explanation:

<u>20 points</u>      =       <u> 40</u>

50 points               100

6 0
3 years ago
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
4 years ago
What is -2x-3=y in standard form
just olya [345]
<span>-2x-3=y in standard form
= 
2x + y = -3

hope it helps</span>
6 0
4 years ago
Use the Distributive Property to find the product.
tigry1 [53]
1) 4 divided by 7 = 0.57
2) 4 times 5 = 20 and 4 times 8 = 32
3) 20 plus 32 = 52
4) 0.57 times 52 = 29.64

5) answer : 29.64

i hope this is correct. i tried to break it down.
5 0
3 years ago
Read 2 more answers
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