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defon
2 years ago
14

Arthur's dog, Shep, had to go on a diet. After three months of dieting, Shep had lost 16% of his weight, which was 24 pounds. Ho

w much did Shep weigh before he was put on a diet?
Mathematics
1 answer:
lidiya [134]2 years ago
5 0

Answer: 150 pounds

Step-by-step explanation:

Let her initial weight be represented by x.

Since Shep had lost 16% of his weight, which was 24 pounds. Shep weight before he was put on a diet would be:

16% × x = 24

0.16 × x = 24

0.16x = 24

x = 24/0.16

x = 150 pounds

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EleoNora [17]

Answer:

a) d = 36 ft. ( using Pithagoras´theorem )

b) d = 36 ft  ( Using ( function sin ) trigonometry

Step-by-step explanation:

a) Using Pythagoras´Theorem:

Diagonal (d) is the hypothenuse of a right triangle of side 25 feet, and according to Pythagoras´Theorem in a right triangle.

d²  =  a²  +  b²  

In this particular case  a =  b  =  25 feet then

d² =  (25)²  +  ( 25)²

d  = √ 2 * (25)²

d  = √2   * 25

d  =  1,414*25

d  =  35,35

d = 36 ft.

b) Using trigonometry:

We know that sin 45° = cos 45° =  √2 / 2

In a right triangle

sin α  =  opposite side / hypothenuse (d)

sin 45°  =  √2 / 2   =  25/ d

√2 *d  =  2* 25

d  =  50/√2

d  =  50 / 1,414

d  =  35,36

d = 36 ft

6 0
3 years ago
Which equation represents a line that passes through (-9, -3) and has a slope of -6?
eimsori [14]

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), so

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

8 0
3 years ago
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Fudgin [204]
It’s 7 over 69 but 420 for a short answer
4 0
3 years ago
Read 2 more answers
Select the correct answer.
V125BC [204]

Answer:

b

Step-by-step explanation:

any set times the radius will give you the answer

3 0
3 years ago
A x 4 = E
s2008m [1.1K]
A= 1/4E
B= 4E
C= E-4
D= E+4
A+B+C+D=100
25/4E=100
hence, E=16
4 0
3 years ago
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