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gregori [183]
3 years ago
5

Tom bought 7 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now

only 25 cards left. how many cards did Tom start with?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0
25x2=50-7=43
Tom started out with 43 baseball trading cards
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Find the six trigonometric function values for angle ∅ where its adjacent side is -9 and its hypotenuse is 41. (Theta is located
arsen [322]
Check the picture below.

\bf \textit{using the pythagorean theorem}
\\\\
c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
\sqrt{41^2-(-9)^2}=b\implies \sqrt{1681-81}=b\\\\\\ \sqrt{1600}=b\implies 40=b\\\\
-------------------------------

\bf sin(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{hypotenuse}{41}}\qquad~~  cos(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{hypotenuse}{41}}\qquad~~  tan(\theta )=\cfrac{\stackrel{opposite}{40}}{\stackrel{adjacent}{-9}}
\\\\\\
csc(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{opposite}{40}}\qquad ~~sec(\theta )=\cfrac{\stackrel{hypotenuse}{41}}{\stackrel{adjacent}{-9}}\qquad ~~cot(\theta )=\cfrac{\stackrel{adjacent}{-9}}{\stackrel{opposite}{40}}

3 0
3 years ago
A set of positive and negative rational numbers is shown. 8/9 , –1/6 , 3/5 , 4/11 , –2/7 What is the difference between the larg
Sergeeva-Olga [200]
The smallest one is -2/7
The largest one is 8/9 The difference between them is
8/9 - - 2/7 =
8/9 + 2/7 =
7*8/9*7 + 2*9/9*7 =
56 / 63 + 18 / 63 =
74 / 63 =
1 11/63

7 0
3 years ago
Solve |2x – 3| = 11. Show each step of your work.
Klio2033 [76]

Answer:

x =7       or              x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11    or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3    2x-3+3 = -11+3

2x = 14                 2x = -8

Divide each side by 2

2x/2 =14/2           2x/2 = -8/2

x =7                     x = -4

8 0
3 years ago
Fiona is goin to jog once around the block she lives on. The block is rectangular, and it is 180 yards long and 200 feet wide. H
irakobra [83]

Answer:

Fiona will jogged 1,080 feet

Step-by-step explanation:

180 x 2 = 360 yards

360 x 3 = 1,080 feet

3 0
3 years ago
An object is placed 21 cm from a concave lens of focal length 25 cm. what is the magnification?
wariber [46]

The magnification is 0.54

Given,

The distance between object and concave lens, u = -21 cm

Focal length of the concave lens, f = -25 cm

Let m be the magnification.

m = v/u

Here v is the position of image.

We have to find v first.

By using lens equation we can determine v.

That is,

1/f = 1/v – 1/u

So,

- (1/25) = 1/v – (-1/21)

- (1/25) = 1/v + 1/21

1/v = - (1/25) – 1/21

1/v = (-25 – 21) / (21 x 25)

1/v = - (46/525)

Therefore v = - (525/46)

   v = -11.41 cm

Now we have to find magnification, m.

m = v/u

   = (-11.41) / (-21)

   = 0.54

Here magnification is 0.54

Learn more about concave lens here: brainly.com/question/12944945

#SPJ4

6 0
2 years ago
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