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butalik [34]
3 years ago
8

On the circle below, tangent line BC¯¯¯¯¯ is constructed by striking an arc from point D that intersects circle A at point B. Th

e measure of EC¯¯¯¯¯ is 8 units and other measures are shown on the diagram below. Enter the distance from point D to point B.

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

\huge\boxed{BD = 12\ units}

Step-by-step explanation:

If AB = 5 , then AE = 5 [Radii of the same circle]

So,

AC = AE + EC

AC = 8+5

AC = 13 units

Now, Using Pythagorean theorem to find the missing side i.e. BD because tangent strikes the circle at 90 degrees making the triangle a right angled triangle

c^2=a^2+b^2

Where c = AC , a = BD and b = AB

13^2 = BD^2+5^2

169 = BD² + 25

Subtracting 25 to both sides

169 - 25 = BD²

BD² = 144

Taking square root on both sides

BD = 12 units

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makkiz [27]
Answer: M = 2100$

Explanation:

M = P(1 + I)^n

P = 600$, I = 4% = 0.04, n = 10

=> M = 600(1 + 0.04)^10
M = 600(1.04)^10
M = 600(3.5)
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8 0
2 years ago
Ruben how much is 340 times 100.
serious [3.7K]
340x100=34,000 hope this helps
3 0
3 years ago
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Amelia borrows $13450 for a round-the-world trip. Her repayments are $128 per week for 3 years. How much interest is she charged
ololo11 [35]
First we need to calculate the total payments by multiplying the payment per week times number of weeks in a year times 3 years
Total payments=128×52weeks×3years
=19,968

Subtract the amount borrowed from the total payments to get the interest charged
Interest charged
=19,968−13,450=6,518

Hope it helps!
3 0
3 years ago
Help ? I need steps on how to do this
Furkat [3]

<em>Answer</em><em> </em><em>:</em><em>-</em><em> </em>

<em>the</em><em> </em><em>quoti</em><em>ent</em><em> </em><em>is</em><em> </em><em>(</em><em> </em><em>4</em><em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>5</em><em>x</em><em> </em><em>+</em><em> </em><em>7</em><em> </em><em>)</em>

Step-by-step explanation:

[ Refer to the attachment for steps ]

  • We have to eliminate the highest degree coefficient in each step.

  • And as in division of normal numbers we subtract the things here we do the same ,

but while subtracting we have to take care about the signs !

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3 years ago
All the place value of 12,354.897
frutty [35]
All the place values of 12, 354.897 are as follows: 12 thousands, 3 hundred, 5 tens, 4 ones, 0.8 tenths .09 hundredths, .007 thousandths.
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3 years ago
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