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Tpy6a [65]
3 years ago
15

On the ceiling of a cavern, a stalactite grows downward

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0
The stalactites become 0.004 + 0.006 = 0.01 inches closer each year, and begin 10 feet apart, or 120 inches apart. 

let y be the distance between them, and x be the number of years that go by:
y = -0.01x + 120

We want to find where y = 0, where they meet:
0 = -0.01x + 120        Add 0.01x to both sides
0.01x = 120               Multiply both sides by 100
x = 12,000 

The stalagmite and stalactite will meet in 12,000 years
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In ΔVWX, w = 520 cm, ∠W=93° and ∠X=68°. Find the length of x, to the nearest centimeter.
Pani-rosa [81]

Answer:

482.7972612 cm. Just round from here.

Step-by-step explanation:

Ah, the sine law questions. Ok so you know \frac{sin(A)}{a} = \frac{sin(B)}{b} = \frac{sin(C)}{c}. If you don't, voila. Obviously, the variables are different but we can use the same formula. So, we have

\frac{sin(X)}{x}  = \frac{sin(W)}{w}

Plug in:

\frac{sin(68)}{x} = \frac{sin(93)}{520}

The answer when solving for x is the above

7 0
3 years ago
Multiply.<br> 3/4 x -5 1/6
navik [9.2K]

Answer:

-3.87500

Step-by-step explanation:

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5 0
3 years ago
What is three eights plus one eight
kramer

Answer:

3/8 + 1/8

Step-by-step explanation:

so you just need to add the both firsnumber which is 3 and 1 is equal to 4 and second is you add the both second number whick is 8 and 8 is equal to 16 now that you got all the numbers needed to complete the fraction just put the 4 in the top and pu the slach or / and put the 16 in the bottom

Exact Answer:<em>4</em><em>/</em><em>1</em><em>6</em>

6 0
3 years ago
Let sin A= -3/5 with 270°&lt; A&lt; 360°. Find the following.<br> sin A/2
GREYUIT [131]

Answer:

1/sqrt10

Step-by-step explanation:

1) Find out cosA using formula (cosA)^2+(sinA)^2=1

The module of cosA= sqrt (1- (-3/5)^2)= sqrt 16/25=4/5

So cosA=-4/5 or cosA=4/5.

Due to the condition 270degrees< A<360 degrees, 0<cosA<1 that's why cosA=4/5.

2) Find sinA/2 using a formula cosA= 1-2sinA/2*sinA/2 where cosA=4/5.

(sinA/2)^2= 0.1

sinA= sqrt 0.1= 1/ sqrt10 or sinA= - sqrt 0.1= -1/sqrt10

But 270°< A< 360°, then 270/2°<A/2<360/2°

135°<A/2<180°, so sinA/2 must be positive and the only correct answer is

sin A/2= 1/sqrt10

6 0
2 years ago
Jennifer went to purchase soda for a birthday party. She wants to order one liter of Coca
ladessa [460]

Answer:

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