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In-s [12.5K]
3 years ago
13

A submarine dives as shown in the diagram.

Mathematics
1 answer:
Marianna [84]3 years ago
8 0

Answer:

Tan x = 125/500= 0.25

so x = arctan (0.25)

=14 degree

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What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
MrRissso [65]
The y value of the vertex is 121. 

We can find this by first finding the x value of the vertex. The x value of the vertex in a quadratic equation will always be half way between the two zeros. We can find the zeros by setting each parenthesis equal to 0 and solving for x. 

Zero #1
(x + 8) = 0 ---> subtract 8 from both sides. 
x = -8

Zero #2
(x - 14) = 0 ----> add 14 to both sides. 
x = 14

Since we know that the x value of the vertex must be in the middle of these two, we can take the average of them to find it. 

(-8 + 14)/2 = 3

So the x value is 3. Now we can plug that into the equation for all of the x's to get the y value. 

f(x) = -(x + 8)(x - 14)
f(3) = -(3 + 8)(3 - 14)
f(3) = -(11)(-11)
f(3) = 121

So the y value is 121. 
7 0
4 years ago
If you triple 4 and subtract to each day how many days until you have zero
Mrrafil [7]
Do you mean subtract two each day? If so...
4x3=12 and 12 divided by 2 is 6 so it would take six days to reach zero
or
you could manually subtract two from 6 each days as in 12-2=10 (1 day), 10-2=8 (2 days), and so on...
5 0
3 years ago
A cone has a height of 11 millimeters and a radius of 5 millimeters. what is its volume?
yanalaym [24]

Answer:

287.83 cubic mm

Step-by-step explanation:

Given,

Height of the cone = 11 mm

Radius of the cone = 5 mm

Therefore, volume of the cone

=  \frac{1}{3} \pi {r}^{2} h

=  \frac{1}{3}  \times 3.14 \times 5 \times 5 \times 11

= <u>287.83 cubic mm (approx. ) (Ans)</u>

8 0
3 years ago
Read 2 more answers
NEED HELP ASAP!!! 50 POINTS Match the following items by evaluating the expression for x = -6.
tia_tia [17]

Answer:

x^-2 = 1/36

x^-1 = 1/6

x^0 = 1

x^1 = -6

x^2 = 36

8 0
2 years ago
Read 2 more answers
What is the present value of a $1,600 payment made in five years when the discount rate is 10 percent?
Anvisha [2.4K]

Answer:

Present value is $993.47

Step-by-step explanation:

PV = present value

Fv = future value = $1,600

Discount (i) = 10%

N = Years = 5

The formula for this is given by:

PV = FV/(1 + i)^N

PV = $1600/(1 + 0.10)^5

PV = $1600/1.1^5

PV = $1600/1.61051

PV = $993.47

7 0
3 years ago
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