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Artist 52 [7]
2 years ago
14

Indicate whether the statement below is true or false. A store is offering a 15% discount. Tom wants to know how much he will ha

ve to pay after the discount. He can determine this in a single step by multiplying the original price by .85.
Mathematics
1 answer:
eduard2 years ago
3 0

Answer:

false

Step-by-step explanation:

I think it is backwards to figure a fifteen percent discount, you would make 15% into .15 and then multiply .15 times the original prioce to see the amount off.

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I am just started doing trigonometry and I am already lost. Help?
miv72 [106K]

Answer:

SOH CAH TOA

Step-by-step explanation:

<em>Finding sides (first 2 pictures)</em>

For finding sides of a triangle, you first must "map" the triangle using the given angle as a reference. In this case (for the first picture) use the angle with the measure of 32. The side directly across from the reference angle is the opposite. Label it "O." The side directly across from the right angle is the hypotenuse. Label it "H." Thus, the other side (12) must be the adjacent side. Label it "A." Since you are given x and 12, and you know that x is the hypotenuse and 12 is the adjacent side, you use the CAH operation, meaning \cos = \frac{\text{adjacent}}{\text{hypotenuse}}.

Set it up like so:

\cos(32) = \frac{12}{x}

Use order of operations:

x = \frac{12}{\cos(36)}

Plug that in your calculator and that's your answer.


<em>Finding angles (last 3 pictures)</em>

In the third picture, you are given two sides and x. When finding angles, you  <em>only</em> use what you are given. However, instead of using sin, cos, tan, you must use the inverse, which is \sin^{-1} and so on.

Since you are trying to find x, you still use it as your reference angle. 20 is the hypotenuse and 11 is adjacent. Don't worry about the other side- it's not necessary unless it's given. Since you are given the hypotenuse and the adjacent, you use the \cos property. (inverse)

It's done like so:

\cos^{-1}(x) = \frac{11}{20} \\\\x = \cos^{-1}(\frac{11}{20})

Put that in your calculator, and that's the answer! The rest of the angle problems are done the same way, just using different sides.

4 0
3 years ago
Write an<br> equation of the line with a slope of -3 and y-intercept of 0. <br> I need help!!!!
MA_775_DIABLO [31]
The equation is Y= -3x
3 0
3 years ago
When a number is tripled and 8 is subtracted from the result the answer is 16 what is the number
irakobra [83]
8 is the number when triples and then 8 is subtracted to equal 16
3 0
3 years ago
Read 2 more answers
How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
scoray [572]

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       F=Pe^{(i)(t)}...............(1)

           Substitute the values in equation (1) to find the P value,

                                  15000=Pe^{(0.059)(12)}          ( ∵ i = \frac{5.9}{100}=0.059 )

                                  15000=Pe^{0.708}

                                  15000=P(2.0299)             ( ∵ e^{o.708} =2.0299 )

            We change the P (Present value) into the left side,

                                        P=\frac{15000}{2.0299}

                                            =7389.427

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

                       

8 0
3 years ago
Simplify square root of negative 48.
kvv77 [185]
We want to simplify √(-48).

Note that
i² = -1 by definition.
Therefore
\sqrt{-48} =  \sqrt{i^{2}.16.3} = \sqrt{i^{2}}  \sqrt{16}  \sqrt{3} =4i \sqrt{3}

Answer: c.  4i \sqrt{3}

3 0
3 years ago
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