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3 years ago

P;lease helpppp 35 pnts!!!!

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

The length of BE is 5.5 units.(A correct option)

Step-by-step explanation:

Given diameter AC intersects chord BD at point E such that AE = 2.5 units and DE = 3.4 units. Point O is the center of the circle, and the radius of the circle is 5 units. we have to find the approximate length of BE.

CE=CO+OE=5+(OA-AE)=5+2.5=7.5 units.

Now, by Intersecting Chord Theorem which states that when two chords intersect each other inside a circle then the products of their segments are equal.

⇒ $CE\times AE=BE\times DE$

⇒ $7.5\times 2.5=BE\times 3.4$

⇒ $BE=\frac{7.5\times 2.5}{3.4}=5.5147\sim5.5units$

Hence, the length of BE is 5.5 units.

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What is 3/4 divided by 1/3?

GalinKa [24]

Answer:

1/4

Step-by-step explanation:

have a good day!

6 0

3 years ago

Solving systems of equations using substitution. y=2x+8. y=5-x

kherson [118]

Answer:

(x, y) = (-1, 6)

Step-by-step explanation:

y = 2x + 8

y = 5 - x

Substituting the second equation into the first equation, we get:

5 - x = 2x + 8

5 = 3x + 8

-3 = 3x

x = -1.

So, y = 5 - (-1).

Simplifying, we get:

y = 6.

4 0

3 years ago

What is the answer for part b??

nasty-shy [4]

If you factor the expression of part A, you will get the expression of part B

the reason is that the perimeter of a rectangle is equal to 2(l+w)

so in the factorization number 2 will be multiplied by the rest of the expression

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5 0

3 years ago

At the end of the summer, Caitlin had saved $120 from her summer job. This was her initial deposit into a new savings account at

Vera_Pavlovna [14]

<span>Let x = represent the number of weeks of deposits
A = 120 + 5x the account balance after x weeks
The account balance is directly proportional to the number of weeks of deposits if:
A/x = constant
(120 + 5x)/x = 120/x + 5 is not a constant
For example:
After 1 week there will be: 120 + 1*5 = $125 on the account
After 2 week there will be: 120 + 2*5 = $130 on the account
After 3 week there will be: 120 + 3*5 = $135 on the account
But 125/1 <> 130/2 <> 135/3
The account balance is not proportional to the number of weeks of deposits.</span>

8 0

3 years ago

Suppose that a school has 20 classes: 16 with 25 students in each, three with 100 students in each, and one with 300 students, f

astraxan [27]

Answer

a) y | p(y)

25 | 0.8

100 | 0.15

300 | 0.05

E(y) = ∑ y . p(y)

E(y) = 25 × 0.8 + 100 × 0.15 + 300 × 0.05

E(y) = 50

average class size equal to E(y) = 50

b) y | p(y)

25 | $\dfrac{16\times 25}{1000}=0.4$

100 | $\dfrac{3\times 100}{1000}=0.3$

300 | $\dfrac{1\times 300}{1000}=0.3$

E(y) = ∑ y . p(y)

E(y) = 25 × 0.4 + 100 × 0.3 + 300 × 0.3

E(y) = 130

average class size equal to E(y) = 130

c) Average Student in the class in a school = 50

Average student at the school has student = 130

5 0

4 years ago