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Sloan [31]
2 years ago
10

A man started from his home and drives 30km to the south and then 86km to the north . How far is he from his home now ??

Mathematics
2 answers:
Dafna11 [192]2 years ago
8 0
The answer would be 56km
ladessa [460]2 years ago
6 0

Answer:

56km North of his home.

Step-by-step explanation:

30km south - 86km north

= 56km north

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Is this a right triangle?<br> 15 m, 36 m, 39 m
Vesnalui [34]

Answer:

YES

Step-by-step explanation:

use pythagorean theorem

15^2 + 36^2 = 39^2

225 + 1296 = 1521

1521=1521

5 0
3 years ago
Read 2 more answers
What is the unit rate of 588 and 12
leva [86]

Answer:

49

Step-by-step explanation:

588  divided by 12                        49

___                                  =           -------          

12    divided by 12                           1

Hope this helped, click thanks if it did

6 0
3 years ago
You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up, the ratio of hea
Gwar [14]
So 16=heads
18=tails
after you add some tails
18+x

ratio of heads to tails is 1:1.5
heads=16, didn't change
tails=18+x

so
1:1.5=16:18+x
fractionify
1/1.5=16/(18+x)
1/1.5=2/3
2/3=16/(18+x)
mutiply both sides by (3)(18+x)
2(18+x)=3(16)
36+2x=48
subtract 36 from both sides
2x=12
divide 2
x=6

6 tails added


total=heads+tails
heads=16
tails=18+6=24
total=16+24
total=40



6 tails added
40 total coins
6 0
2 years ago
HELP ME!!!
larisa [96]

Answer:

  -2, 8/3

Step-by-step explanation:

You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...

  A = (1/2)(f(a) +f(4))(4 -a)

  = (1/2)((3a -1) +(3·4 -1))(4 -a)

  = (1/2)(3a +10)(4 -a)

We want this area to be 12, so we can substitute that value for A and solve for "a".

  12 = (1/2)(3a +10)(4 -a)

 24 = (3a +10)(4 -a) = -3a² +2a +40

  3a² -2a -16 = 0 . . . . . . subtract the right side

  (3a -8)(a +2) = 0 . . . . . factor

Values of "a" that make these factors zero are ...

  a = 8/3, a = -2

The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.

_____

<em>Alternate solution</em>

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.

5 0
3 years ago
Can someone help me with this because I am struggling and if you don't mind show me the steps
Korvikt [17]
Attach and send a picture
3 0
2 years ago
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