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mr_godi [17]
3 years ago
10

need help on these math questions... please either answer them or explain very simply how to answer them. Thanks.

Mathematics
1 answer:
kodGreya [7K]3 years ago
3 0
You would use the pythagorean theorem. a² +b² =c²

side² +side² = hypotenuse²

So for 1) 8² + 15² = c²
64+225=c²
289=c²
√c² = √289
c = 17

2. 7²+24² =c²
49+576= c²
c²=625
√c²= √625
c = 25

3. 5²+13²=c²
25+169=c²
c² = 194
√c² = √194
c = 13.93

4. 24² + 45² =c²
576 + 2025 =c²
c² = 2601
√c² = √2601
c = 51

5.
Plug each choice into the pythagorean theorem. a² +b² =c²

3²+4² = 5²
9+16= 25
25=25

6²+8²=10²
36+64=100
100=100

16²+63²=65²
256+3969=4225
4225=4225

8²+9²=10²
64+81=100
145=100 Since 145 does not equal 100 it is not a right triangle
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Please tell me what x is 3(x+6)=48
Alekssandra [29.7K]

Answer

X=10

Step by step explanation

48÷3 = 16

16-6 = 10

7 0
3 years ago
John is buying a TV that costs $1250. He currently has $200 saved and is
Angelina_Jolie [31]
It will take him 21 weeks to have $1250 saved
7 0
3 years ago
Read 2 more answers
X2 – 11x + 5 = -2x<br> Solve equation to the nearest tenth
Nataly [62]

Answer:

x = 5/7 -> 0.714285 which to the nearest tenth would be 0.7

Step-by-step explanation:

is it x*2 or x^2?

If it were x to the power of two, then the answer would be about x1 = 0.594875 and x2 = 8.40512

7 0
3 years ago
Solve this system of equations without graphing and show your reasoning
Drupady [299]

Answer:

x = 1/5

y = 6

Step-by-step explanation:

System:

{5x + y = 7

{20x + 2 = y

First equation:

5x + y = 7 -> y = -5x + 7

Plug into second equation:

20x + 2 = -5x + 7

Subtract 2 from both sides:

20x = -5x + 5

Add 5x to both sides:

25x = 5

Divde both sides by 25:

x = 5/25 -> 1/5

~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Come back to the first equation:

5x + y = 7

Plus in our x:

5(1/5) + y = 7

Multiply:

1 + y = 7

Subtract 1 from both sides:

y = 6

Hope this helps, have a nice day! :D

7 0
2 years ago
A person invest $10,000 into a bank the bank pays 4.75% interest compounded semi annually. To the nearest 10th of a year, how lo
Mama L [17]

Answer:

T is 13.9 years to the nearest 10th of a year

Step-by-step explanation:

In this question, we are to calculate the number of years at which someone who invests a particular amount will have a particular amount based on compound interest.

To calculate the number of years, what we do is to use the compound interest formula.

Mathematically,

A = P(1+ r/n) ^nt

Where A is the final amount after compounding all interests which is $19,200 according to the question

P is the initial amount invested which is $10,000 according to the question

r is the rate which is 4.75% according to the question = 4.75/100 = 0.0475

n is the number of times per year in which interest is compounded. This is 2 as interest is compounded semi-annually

t= ?

we plug these values;

19200 = 10,000(1+0.0475/2)^2t

divide through by 10,000

1.92 = (1+0.02375)^2t

1.92 = (1.02375)^2t

We find the log of both sides

log 1.92 = log [(1.02375)^2t)

log 1.92 = 2tlog 1.02375

2t = log 1.92/log 1.02375

2t = 27.79

t = 27.79/2

t = 13.89 years

The question asks to give answer to the nearest tenth of a year and thus t = 13.9 years

7 0
3 years ago
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