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3 years ago

Given: AABC-ADEF

Mathematics

1 answer:

Jlenok [28]3 years ago

3 0

The answer is B because those triangles are congruent

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Determine whether the polygons are similar. Similar Not Similar

kupik [55]

The answer is Not similar

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2 years ago

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The amount of chlorine in a swimming pool is proportional to the volume of water. The pool has 2.5 milligrams of chlorine per li

stira [4]

Answer:

There are 20,000 milligrams chlorine in the pool.

Step-by-step explanation:

Given:

The chlorine per liter of water in the pool is 2.5 milligrams.

The volume of water in the swimming pool is 8000 gallons.

Now, to find the quantity of chlorine in the pool.

Let the quantity of chlorine be $x.$

The gallons of water in the swimming pool = 8000.

The milligrams of chlorine per liter of water in the pool = 2.5.

According to question, the amount of chlorine in the swimming pool is proportional to the volume of water.

So, 2.5 mg of chlorine is equivalent to 1 liter.

Thus, $x$ is equivalent to $8000.$

Now, to get the quantity of chlorine by using cross multiplication method:

$\frac{2.5}{1} =\frac{x}{8000}$

By cross multiplying we get:

$20000=x\\\\x=20,000\ mg.$

Therefore, there are 20,000 milligram chlorine in the pool.

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3 years ago

Let W be the subspace of R5 spanned by the vectors w1, w2, w3, w4, w5, where

Gwar [14]

To find W⊥, you can use the Gram-Schmidt process using the usual inner-product and the given 5 independent set of vectors.

Define projection of v on u as 
p(u,v)=u*(u.v)/(u.u) 
we need to proceed and determine u1...u5 as: 
u1=w1 
u2=w2-p(u1,w2) 
u3=w3-p(u1,w3)-p(u2,w3) 
u4=w4-p(u1,w4)-p(u2,w4)-p(u3,w4) 
u5=w5-p(u4,w5)-p(u2,w5)-p(u3,w5)-p(u4,w5) 

so that u1...u5 will be the new basis of an orthogonal set of inner space. 

However, the given set of vectors is not independent, since 
w1+w2=w3, 
therefore an orthogonal basis cannot be found.

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3 years ago

Tính đạo hàm y=2x^3 - 9x^2 + 12x + 4

Liula [17]

Answer:

hihihihihihihihihihihihihihi

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3 years ago

4/9 + 1/3 = ?? Simplify answer fully

galben [10]

Multiply the second fraction by three.

4/9 + 3/9 = 7/9

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3 years ago