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3 years ago

3 out of 5 sophomore study integrated math course. how many study this course in a sophomore class of 300?

Mathematics

1 answer:

ollegr [7]3 years ago

5 0

3/5 = ?/300
We multiply 5 by 60 to get 300
So you do the same to 3
3x60= 180

180

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If S is a compact subset of R and T is a closed subset of S, then T is compact. Prove this using the definition of compactness.

wlad13 [49]

Answer:

It has been proved that T is compact

Step-by-step explanation:

To prove this using the definition of compactness, let's assume that T is

not compact. Now, if that be the case, an open cover of T will exist. Let's call this open cover "A". Now, this open cover will have no finite subcover.

Now, from the question, since T is closed, it’s complement R\T will be open.

Therefore, if we add the set R\T to the collection of sets A, then we'll have an open cover of R and also of S.

Due to the fact that S is compact, this

cover will have a finite sub - cover which we will call B.

Finally, either B itself or B\{R\T} would be a finite sub - cover of A. This is a contradiction.

Thus, it proves that T has to be compact if S is to be a compact subset of R and T is to be a closed subset of S.

3 0

3 years ago

Nathan usually drinks 32 ounces of water per day. He read that he should drink 54 ounces of water per day. If he starts drinking

mash [69]

There is a 68.75% increase in the amount of water Nathan drinks from his usual 32 ounces. If he started drinking 54 ounces of water per day, then there is a 22 ounce increase in intake. And 22 ounces is 68.75% of 54 ounces. This percentage would be derived by using the formula (54-32)/32.

4 0

3 years ago

Use the net to find the surface area of the square pyramid. A) 210 in2 B) 320 in2 C) 420 in2 D) 450 in2

Aleksandr [31]

Answer:

D. 420

The area of a triangle is

$\frac{1}{2} bh$

half of(base× height)

10×16= 160

160÷2=80

That is the surface area of ONE triangle.

multiply 80 by 4 to get 320

then find the surface area of the square by doing length×width to get 100

Finally add them together

320+100=420

4 0

3 years ago

LoneWolves or anyone plz help me with this math question! I promise I'll mark u brainliest for the absolute right ANSWER

jeyben [28]

Answer:

8 ft^2

Step-by-step explanation:

$\frac{h1}{2ft} =\frac{h2}{3ft} \\\\$

area of ABC is:

$A= \frac{(3ft)(h2)}{2}$

area of ABC is 18 square ft, then

$h2 = \frac{(area)(2)}{3ft} = \frac{(18 ft^2)(2)}{3ft} =12ft$

now you can find h1 and the area for EFG

6 0

3 years ago

Read 2 more answers

The sum of two The perimeter of a rectangle is 30cm. If the length is 3 cm longer than the width, find

Llana [10]

Answer:

Width: 6 cm

Length: 9 cm

Step-by-step explanation:

Width: x

Length: x + 3

2(x)+2(x+3) = 30cm

2x + 2x + 6 = 30

4x = 30-6

x = 24/4

x = 6

4 0

3 years ago