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Bumek [7]
3 years ago
14

What is the length of the hypotenuse of the triangle when x=15?

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0

Step-by-step explanation:

111^2 + 45^2 = 14346

then take the square root of 14346

which is 119.77

Luden [163]3 years ago
6 0

Answer:

114.24°

Step-by-step explanation:

7(15)+6= 105

3(15)= 45, now we plug it in the formula, a^{2}+b^{2}=c^{2}

105^{2}+45^{2} = 13050

so now we square root it

\sqrt{13050}= 114.24

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Solve the system by substitution.<br> [-2.5x+y = 13.5<br> 12.25x - y=-12.25
IrinaK [193]

Answer:

x = 5/39 , y = 539/39

Step-by-step explanation:

Solve the following system:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

In the first equation, look to solve for y:

{y - 2.5 x = 13.5

12.25 x - y = -12.25

y - 2.5 x = y - (5 x)/2 and 13.5 = 27/2:

y - (5 x)/2 = 27/2

Add (5 x)/2 to both sides:

{y = 1/2 (5 x + 27)

12.25 x - y = -12.25

Substitute y = 1/2 (5 x + 27) into the second equation:

{y = 1/2 (5 x + 27)

1/2 (-5 x - 27) + 12.25 x = -12.25

(-5 x - 27)/2 + 12.25 x = 12.25 x + (-(5 x)/2 - 27/2) = 9.75 x - 27/2:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

In the second equation, look to solve for x:

{y = 1/2 (5 x + 27)

9.75 x - 27/2 = -12.25

9.75 x - 27/2 = (39 x)/4 - 27/2 and -12.25 = -49/4:

(39 x)/4 - 27/2 = -49/4

Add 27/2 to both sides:

{y = 1/2 (5 x + 27)

(39 x)/4 = 5/4

Multiply both sides by 4/39:

{y = 1/2 (5 x + 27)

x = 5/39

Substitute x = 5/39 into the first equation:

{y = 539/39

x = 5/39

Collect results in alphabetical order:

Answer: {x = 5/39 , y = 539/39

5 0
3 years ago
Demarco and Tanya have received information about three separate mortgage offers. In two or three paragraphs, describe your reco
Mars2501 [29]

Answer:

Mortgage option (3) would be best suited for them.

Step-by-step explanation:

Mortgage option (1) and (2) are more or less the same since, since even if Damarco and Tanya down payments $34,000 (20% of the purchase price), they need to pay the interest for 30 years for both of the cases and even if he pays  about $750   monthly (as for option (1)) or about  $ 9000 annually (as  for option (2))  both may actually be more or less the same amount  since, the annual rate of interest in (2) may increase from the initial rate of 3.5% (but it is very unlikely to increase to over 5%) and option (1) has an annual  fixed rate of interest of 4.25%.

Now, in the option (3) the interest is to be paid for 8 years and the annual rate of interest is also relatively low (only 4%) and if they pay about $18,000 annually with a down-payment of $ 34,000 and  repay the rest of the amount at the end of 8 years,(which would be less than $ 35,000)  they can easily clear their mortgage. Hence, for option (3) they would need to pay lowest total amount and for lowest time to clear the mortgage among the three options. Hence, this would be best suited option for them.

6 0
3 years ago
You work 25 hours per week. You need to earn $240 to cover your weekly expenses. Your job as a dog walker pays $10 an hour. Your
qwelly [4]

Answer:

(8×5)+(10×20)=240

Step-by-step explanation:

8 (Car wash hourly pay $$) times 5 (hours worked) equals 40(money earned). And 10 (dog walker money $$) times 20 (hour worked) equals 200(money earned). 200(dog walker) plus 40(car washer) is 240. So if you do 5 hours at the car wash and 10 hours of dog walking, you'll earn enough to cover your expenses.

7 0
3 years ago
A small class has 9 students, 3 of whom are girls and 6 of whom are boys. the teacher is going to choose two of the students at
andrey2020 [161]
6/9 + 3/8 =1.04 (25/24)
5 0
3 years ago
Read 2 more answers
You ear $10 for each hour you work for a canoe rental shop. Write an expression for your salary for working h hours. Make a tabl
KengaRu [80]
Well, if you are making 10h (10 being the amount you maake per hour and h being the number of hours) So make a table with each amout of time you work then do the math: 10*10, 10*20, and so on.
5 0
3 years ago
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