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NARA [144]
3 years ago
15

What is DC if AC = 10 cm, BC = 6 cm, and EC = 12 cm? using the options below

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
8 0
The answer is A. Or 5 cm.

Hope this helps,

kwrob
Komok [63]3 years ago
4 0

To solve this question we will use a theorem called the intersecting secant theorem which states that "if 2 secants of a circle intersect outside the circle then product of their segments are equal".

Thus, applying this theorem in this question we see that:AC\times BC=EC\times DC

Thus, 10\times 6=12\times DC

Thus, DC\frac{10\times 6}{12}=5 cm

Thus, out of the given options, the first option is the correct option.


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Harrizon [31]

5.880512439 x 10^16

5.880512439 x 10^16Hope this helps!

4 0
2 years ago
Whats the volume of them combined
Flura [38]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Find the zeros of the polynomial function and state the multiplicity of each.
Oksi-84 [34.3K]

Answer:

a) 8, multiplicity 2; 8, multiplicity 3

Step-by-step explanation:

Remember that a is a zero of the polynomial f(x) if f(a)=0 and has multiplicity n if the termn (x-a) is n times in the factorization of f(x).

We have that

f(x)=3(x + 8)^2(x - 8)^3

Observe that

1. f(-8)=3(-8 + 8)^2(-8 - 8)^3=3*0*(-16)^3=0

and (x+8) appear two times in the factorization of f(x). Then -8 is a zero of f(x) with multiplicity 2.

2. f(8)=3(8 + 8)^2(8 - 8)^3=3*16^2*0^3=0

and and (x - 8) appear three times in the factorization of f(x). Then 8 is a zero of f(x) with multiplicity 3.

Since f(x) has degree 5 and the sum of the multiplicities is 5 then f(x) hasn't more zeros.

7 0
2 years ago
James is getting ready for wrestling season. As part of his preparation, he plans to lose 5% of his body weight James currently
chubhunter [2.5K]

Multiply 100 pounds by 5%: 100 x 0.05 = 5 pounds.

Subtract that from the original weight:

100 - 5 = 95

He will weigh 95 pounds

3 0
2 years ago
Read 2 more answers
A rate of 90 kilograms per hour is approximately how many miles per hour? Round to the nearest whole number.
STatiana [176]
I'll assume by kilograms you mean kilometers.

1 kilometre is approximately 0.621 miles, so multiply 90x0.621 to find your conversion.
7 0
3 years ago
Read 2 more answers
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