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1 year ago

Given a line segment containing the points A,B, & C, in order, if AB is 11 and BC is 12, then the length of AC would

Mathematics

1 answer:

Shalnov [3]1 year ago

4 0

Answer: 23

Step-by-step explanation:

AB + BC = AC

AC = 11 + 12 = <u>23</u>

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Find the number that makes each statement true.

Harrizon [31]

1) 30
2) 800
3) 500
4) 4,000
5) 9
6) 600
7) 7,000
8) 200,000
9) 2,000 * 10 = 20,000. 20,000 * 10 = 200,000.

6 0

3 years ago

Triangle A″B″C″ is formed using the translation (x + 1, y + 1) and the dilation by a scale factor of 3 from the origin. Which eq

FromTheMoon [43]

Answer:

$B''C''=3BC$

Step-by-step explanation:

we know that

The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor

step 1

Find the length of segment BC

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

B(1,-3),C(-3,-3)

substitute the values

$BC=\sqrt{(-3+3)^{2}+(-3-1)^{2}}$

$BC=\sqrt{(0)^{2}+(-4)^{2}}$

$BC=4\ units$

The segment B''C'' is equal to the segment BC multiplied by the scale factor

The scale factor is 3

$B''C''=BC(3)$

$B''C''=3BC$

substitute

$B''C''=3(4)=12\ units$

4 0

2 years ago

Read 2 more answers

Whats the perfect square of 63 rounding it to the hundreths place

Leni [432]

The answer to your question is 7.94 that the perfect square root of 63

4 0

3 years ago

zoya has to earn at least $300 to meet her fundraising goal. she has 100 bracelets that she plans to sell at $5. which inequalit

ololo11 [35]

3 0

2 years ago

Ava opens an account with $400. She deposits $200/month for 20 years. The interest rate is 2.15%. How much interest will she hav

artcher [175]

Answer:

d. None of the above

Step-by-step explanation:

We assume the sequence of deposits is ...

month 0: $400

month 1: $200

month 2: $200

...

month 240: $200 . . . . accumulated interest is determined at this point

That is, no interest is earned on the last deposit.

_____

The value of the initial $400 deposit after 20 years at 2.15% interest compounded monthly is ...

$400×(1 +.0215/12)^(12×20) = $400×1.536666 ≈ $614.67

The value of the $200 annuity at the same interest rate is ...

$200((1 +.0215/12)^(12×20) -1)/(.0215/12) = $200×299.534612 ≈ $59,906.92

So, the total account value is ...

$614.67 +59,906.92 = $60521.59

The total amount deposited was ...

$400 +$200×240 = $48,400

The interest earned is the difference between the account value and the total of deposits:

$60,521.59 -48,400 = $12,121.59 . . . . interest earned

This value does not match any numerical answer choice, so we conclude the appropriate answer is ...

None of the above

3 0

2 years ago