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algol [13]
3 years ago
8

ABCD is a rectangle. Rectangle A B C D is shown. All angles are right angles. The length of A D is 5 and the length of D C is 12

. Use the diagram to answer the questions. The length of AB is 12 . The length of BC is 5 . The length of AC is .
Mathematics
1 answer:
sashaice [31]3 years ago
3 0

Answer: 13

Step-by-step explanation:

I used Pythagorean theorem to solve this problem. As DC and AD is 12 and 5, you would do 12²+5²= c². 12²= 144 and 5²= 25. 144+25= 169. It doesn't end there. Do the square root of 169 ---> √169=13.

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bixtya [17]

Answer:

6,430\ bacteria

Step-by-step explanation:

we have a exponential function of the form

y=a(1+r)^{x}

where

y is the population of bacteria

a is the initial value

r is the rate of growth

x is the number of hours

we have

a=3,000 bacteria

y=3,000(1+r)^{x}

For x=2, y=3,300

substitute

3,300=3,000(1+r)^{2}

(3,300/3,000)=(1+r)^{2}

Apply square root both sides

1+r=\sqrt{3.3/3}

r=\sqrt{3.3/3}-1

r=0.0488

r=4.88\%

substitute in the equation

y=3,000(1+0.0488)^{x}

y=3,000(1.0488)^{x}

<u><em>Predict how many bacteria will be present after 16 hours</em></u>

For x=16 hours

substitute

y=3,000(1.0488)^{16}

y=6,430\ bacteria

6 0
3 years ago
PLLLZZ EXPLAIN HOW YOU GOT IT! I will give you branilest!
Nezavi [6.7K]

Answer:

Getting through ratio method

100-20=80 percent have to pay

18:80

<em>x</em>:100

cross multiply

80 x <em>x=1</em>8 x 100

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So the original price was $22.50

Step-by-step explanation:

5 0
2 years ago
One month, Ava purchased a set of 35 stamps. Each month, starting the second month, she purchased 3 more stamps for her collecti
lara31 [8.8K]
35 + 3n= x 
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is there a substitution for n? or a number of months? 
7 0
3 years ago
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Strike441 [17]

Answer:

<u>sum</u><u> </u><u>is</u><u> </u><u>-</u><u>(</u><u>1</u><u>0</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>)</u>

Step-by-step explanation:

( - x - 7) + ( - 9x + 6) \\  = ( - x - 9x) + (6 - 7) \\  =  - 10x - 1 \\  =  - (10x + 1)

4 0
3 years ago
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If a ticket at the movie theater called $7.50 and popcorn cost $3.50 and the drink cost $1.50 and the cab cost $12 for up to fiv
pentagon [3]
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So now me plus 3 friends
24.50 +37.5=62.00


8 0
3 years ago
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