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zubka84 [21]
3 years ago
7

Jim and Mark start at the same place jim walks 15ft West and Mark Walks 12 feet North how far apart are the boys when they finis

h walking
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
3 0
The two points where they end and the point where they start form a right triangle, one leg is 12, the other leg is 15, you need to find the hypotenuse.
use the Pythagorean theorem: 12²+15²=c²
c≈19
they are about 19 feet apart.

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The equation of a line is y = 2x + 3. What is the equation of the line that is parallel to the first line and passes through (2,
Masja [62]

Answer:

y = 2x - 5

Step-by-step explanation:

The slope for a parallel line is the same as the slope in the given equation.  Therefore the slope of the new line will be 2    m= 2

use that slope and (2, -1) to find b

-1 = 2(2) + b

-1 = 4 + b

-5 = b

Plug m and b into y = mx + b

y = 2x - 5

8 0
3 years ago
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
klemol [59]

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

n(c)=55-(6+24+11)=55-31=14

Also, number of people who use gym and track=11+23+19+6+14+24=97”

8 0
3 years ago
Read 2 more answers
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15
Valentin [98]

Answer:

(a) = 11 cm

Step-by-step explanation:

The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.

The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.

  1. B + (1/2*80*15) = 1040
  2. B + 600 = 1040
  3. 1040 - 600 = 440 (440 is the area of pentagon)
  4. 1/2*a*(16*5) = 440
  5. 40*a = 440
  6. 440/40 = 11

The apothem is 11 cm. Hope this helps!

6 0
3 years ago
I need help please thank you
jonny [76]
The answr is A sorry if wrong
5 0
3 years ago
Read 2 more answers
a vat of milk has spilled on a tile floor. the milk flow can be expressed with the function r(t) = 4t, where t represents time i
salantis [7]
4t=r
a=pir^2
sub 4t for r
a=pi(4t)^2
a=pi16t^2
a(t)=16pi(t^2)


A. a(t)=16pi(t^2)

B. sub 4 for t
a(4)=16pi4^2
a(4)=16pi16
a(4)=16*16*3.14
a(4)=803.84 square units



A. a(t)=16pi(t^2)
B. 803.84 square units

4 0
3 years ago
Read 2 more answers
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