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Mrac [35]
3 years ago
12

Do the following side lengths form a right triangle? Explain. 18 ft, 23 ft, 29 ft

Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

Explaination:

Step-by-step explanation:

B: yes; 18^2 + 29^2=1165(equal sign with slash) 23^2

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Stoplight a changes color every 30 seconds and stoplight b changes every 40 seconds. after how many seconds will the stoplights
andrey2020 [161]

Answer:

After 120 seconds

Step-by-step explanation:

Here, we want to know the number of seconds after which both spotlights will change colors at the same time again.

Basically, what we want to do here is to

calculate the value with which 30 and 40 have the same multiples or we want to

calculate the lowest common multiple of 30 and 40

The multiples of 30 are 30,60,90,120 etc

The multiples of 40 are 40,80,120 etc

We can see that the lowest common multiple of both is 120

So therefore the spotlights will change colors at the same time after 120 seconds

6 0
3 years ago
10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d
lbvjy [14]

Answer:

a) 504

b) 56

c) 0.111

Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= ^nP_r

n = 9

r = 3

= ⁹P₃

= \frac{9!}{9!-3!}

= 9 × 8 × 7

= 504

b)  3-digit numbers start with the digit 1

=  _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

Therefore,

= 1 × ⁸P₂

= 1 × \frac{8!}{8!-2!}

= 1 × 8 × 7

= 56

c) Probability that the 3-digit number formed is less than 200

Now,

The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)

and total 3-digit numbers that can be formed is part a)

therefore,

Probability that the 3-digit number formed is less than 200

= 56 ÷ 504

= 0.111

5 0
4 years ago
Graph the data in the table below which kind of function best models the data write and equation to model the data
just olya [345]
The answer is C

all of them plugged in as x work
7 0
3 years ago
Read 2 more answers
Write all the factors of 35<br> .<br> Use commas to separate them.
Rudiy27

Factors of 35 :

1, 5, 7, 35

4 0
3 years ago
Read 2 more answers
The sales tax rate is 5%. If Bernie buys a new basketball at $34, what will be the total cost including tax?
julsineya [31]

Answer:

$35.70

Step-by-step explanation:

5% would be 0.05 as a decimal.

multiply 34(0.05):

34(0.05)=1.7

This means that the sales tax would be $1.70.

Next, add $1.70+$34 to find the total cost

$1.70+$34=$35.70

This means that the total cost is $35.70

4 0
3 years ago
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