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Aleksandr [31]
2 years ago
15

Can someone help with numbers 1 and 2 for both of them tell me the answer and how you get it

Mathematics
2 answers:
Pani-rosa [81]2 years ago
8 0

Answer:

Here a = 20,, b= 8

Step-by-step explanation:

Using Pythagoras theorem,

a^2 + 15^2 = 25^2 ,, b^2 + 6^2 =10^2=100

Anarel [89]2 years ago
7 0

Answer:

a = 20, b = 8

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

(1)

a² + 15² = 25²

a² + 225 = 625 ( subtract 225 from both sides )

a² = 400 ( take the square root of both sides )

a = \sqrt{400} = 20

(2)

b² + 6² = 10²

b² + 36 = 100 ( subtract 36 from both sides )

b² = 64 ( take the square root of both sides )

b = \sqrt{64} = 8

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4 0
3 years ago
At noon Joyce drove to the lake at 30 miles per hour. but she made the long walk back home at 4 miles per hour. How long did she
mars1129 [50]

Answer:

60 miles

Step-by-step explanation:

let d = distance to the lake

Using:  time = distance ÷ speed

Create expressions for the time it takes for each journey:

Drive:  t_1=\dfrac{d}{30}

Walk:   t_2=\dfrac{d}{4}

If total time = 17 hours

\implies t_1+t_2=17

\implies \dfrac{d}{30}+\dfrac{d}{4}=17

\implies \dfrac{17d}{60}=17

\implies 17d=1020

\implies d=\dfrac{1020}{17}

\implies d=60

Therefore she walked 60 miles

3 0
2 years ago
Read 2 more answers
172.7=3.14d <br> Solve for d
Serga [27]

Answer:

55

Step-by-step explanation:

Divide both sides by 3.14 to get d by itself.

172.7 / 3.14 = 55 = d

4 0
3 years ago
Harper works at an electronics store as a salesperson. Harper earns a 6% commission on the total dollar amount of all phone sale
agasfer [191]

<u>Answer:</u>

The system of equations are

x + y = 2600   …….equation (1)

and, 6x + 5y = 13700  ……equation (2)

<u>Explanation:</u>

Let x = amount of sales of phone;

y = amount of sales of computer

For phone, 6% of sales is 6% of x, or 6% * x = 0.06x.

Similarly for computer,

5% of y = 0.05y

Given the total sales; x + y = 2600

And commission; 0.06x + 0.05y = 137; or 6x + 5y = 13700

Therefore the system of equations are

x + y = 2600   …….equation (1)

6 x + 5 y = 13700  ……equation (2)

7 0
3 years ago
Solve by the addition method
Sladkaya [172]
Answer is no solution I believe
7 0
3 years ago
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