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Artyom0805 [142]
3 years ago
10

Pythagorean Theorem. I need help please!!!!!

Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0
The hikers started at point S.
The first hiker went 2 miles east and 1 mile north to point A.
The second hiker went 1 mile west and 3 miles south to point B.
See the figure below.

                                                              A
                                                              I
                           1 mile                         I    1 mile
                          I---------S------------------I
                          I                    2 miles
                          I
                          I
            3 miles   I
                          I
                          I
                          B


Now we need to see how much east and how much north hiker B is from hiker A.


                                                            A
                                                              I
                           1 mile                         I    1 mile
                          I---------S------------------I
                          I                    2 miles   I
                          I                                   I
                          I                                   I
            3 miles   I                                   I   3 miles
                          I                                   I
                          I                                   I
                          B----------------------------I
                                         3 miles

From point B go 3 miles east, then 3 + 1 = 4 miles north to point B.
The distance between the hikers is the hypotenuse of a triangle with legs of lengths 3 and 4.

3^2 + 4^2 = d^2

9 + 16 = d^2

d^2 = 25

d = 5

The distance between the hikers is 5 miles.
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Nitella [24]

SAS is the right answer!

6 0
3 years ago
WILL GIVE BRAINLIEST
suter [353]

Answer:

\sqrt{65} is the closest to 8

Step-by-step explanation:

\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87

4 0
3 years ago
Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. At
Allisa [31]

Answer: He invested $350 at 4% and $850 at 5.9%

Step-by-step explanation:

Let x represent the amount which he invested in the account earning 4% interest.

Let y represent the amount which he invested in the account earning 5.9% interest.

Simone invests 1200 into two savings accounts. One account earns 4% annual interest and the other earns 5.9% annual interest. This means that

x + y = 1200

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account earning 4% interest,

P = $x

T = 1 year

R = 4℅

I = (x × 4 × 1)/100 = 0.04x

Considering the account earning 5.9% interest,

P = $y

T = 1 year

R = 5.9℅

I = (y × 5.9 × 1)/100 = 0.059y

At the end of 1 year, Simon earned 64.15 in interest. it means that

0.04x + 0.059y = 64.15 - - - - - - - - -1

Substituting x = 1200 - y into equation 1, it becomes

0.04(1200 - y) + 0.059y = 64.15

48 - 0.04y + 0.059y = 64.15

- 0.04y + 0.059y = 64.15 - 48

0.019y = 16.15

y = 16.15/0.019

y = 850

x = 1200 - y = 1200 - 850

x = 350

7 0
3 years ago
I NEED TO HAND IN NOW!!!
umka21 [38]

Step-by-step explanation:

a)

total no. of pupils is not more than 24

therefore first equation is

(x+y) ≤ 24. ....(1)

No. of girls exceeding the no. of boys by atleast 4

(y-x) ≥ 4. .....(2)

b) Now Liza chooses 8 boys

Maximum no. of girls = ?

Using first inequality

y+8= 24 ( maximum value of less than or equal to function is equal to itself)

Therefore,

y= 24-8

=16

Minimum no. of girls = ?

Using second inequality

y-8 =4 (minimum value of greater than or equal to function is equal to itself)

Therefore,

y= 4+8

y=12

Answer:

a) 2linear inequalities

(x+y) ≤ 24

(y-x) ≥ 4

b) Max no. of girls = 16

Min no. of girls = 12

Hope it helps...

5 0
3 years ago
PLS HELP SOMEBODY I NEED HELP
jok3333 [9.3K]

Answer: 36 + 4d

Step-by-step explanation:

so basically we just distribute to all the numbers in the parantheses. so 4 times 9 is 36 and 4 times d is 4d.

4 0
3 years ago
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