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Varvara68 [4.7K]
3 years ago
13

Find the missing value to the nearest whole number of tan x° =0.9

Mathematics
2 answers:
klio [65]3 years ago
6 0
90 is the correct answer

finlep [7]3 years ago
5 0

We have to find the missing value to the nearest whole number of tan x° =0.9.

Since, tan x° =0.9

To evaluate the missing value of 'x', we will take \arctan (0.9)

So, x^{\circ}=\arctan (0.9)

Now, we will find the value of \arctan (0.9)using the calculator, we get,

x^{\circ}=\arctan (0.9)=41.9^{\circ}=42^{\circ}

So, the missing value of 'x' to the nearest whole number is 42^{\circ}.


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How much interest does Ms. Paris earn on an $1800 loan for 6 months with a simple interest rate of 8.5%?
ddd [48]

Answer:

$1136.60

Step-by-step explanation:

The formula for exponential growth is f(x) = a(1 + r)^x where a is the initial value, r is the growth rate, and x is the number of time intervals.

We know that Mr. Paris starts with an $1800 initial value, so we can substitute that into the equation:

f(x)=1800(1 + r)^x

We also know the time intervals is 6 months. So that can be substituted as well:

f(x)=1800(1 + r)^6

They told you that the growth rate is 8.5%, which is 0.085 of 1.

f(x)=1800(1 + 0.085)^6

Add the 2 values in the parentheses and you get 1.085

f(x)=1800(1.085)^6

Now solve.

Order of operations requires you to raise 1.085 to the 6th power before multiplying by 1800. So then you have this:

1800(1.63146751) = 2936.64152. That rounds to 2936.60

So $2936.60 is the total amount of money in the bank account, but were looking for the interest earned, which is the difference between the end value and the initial value.

$2936.60 - $1800 = $1136.60

6 0
2 years ago
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sertanlavr [38]
Shshshsha wowowow okk 728
5 0
3 years ago
Read 2 more answers
Help with this math question... Leslie created a rectangle on the coordinate plane. Three of the vertices are (5,-2), (5,2), (2,
Aloiza [94]
Draw the points on a graph, you will have three points and need to add the fourth to make the corners of a rectangle. After you have found the point on the missing corner of the rectangle see what its x and y coordinates are.


The answer is: (2, -2)
7 0
3 years ago
Need help with homework
motikmotik

We have two points describing the diameter of a circumference, these are:

\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}

Recall that the equation for the standard form of a circle is:

(x-h)^2+(y-k)^2=r^2

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Now, we replace and solve:

\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}

The center of the circle is (-8,-7), so:

\begin{gathered} h=-8 \\ k=-7 \end{gathered}

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

r^2=\Delta x^2+\Delta y^2

In this case, we will solve the delta with the center coordinate and the B coordinate.

\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}

Therefore, the equation for the standard form of a circle is:

\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}

In conclusion, the equation is the following:

(x+8)^2+(y+7)^2=25

4 0
9 months ago
Jeff wants to buy tickets for a football game for his friends. The stadium is selling tickets for $7 each. The stadium requires
aniked [119]

Your answer is D){28, 42, 56, 70, 84}

To answer this question you just have to make sure the amount he pays is a multiple of 7.If you know you times table then this should be easy

Times table of 7:

7,14,21,28,35,42,49,55,63,70,77,84.

Now you just need to find an answer choice who has these numbers.Lets check it out!

A) 11 isn't a multiple of 7

B) 56 isn't a multiple of 7

C) None of these are multiples of 7 except 7 so this is also incorrect

D) This is correct because they are all multiples of 7

Hope this makes sense.

7 0
2 years ago
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