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Bess [88]
3 years ago
11

A running store offers a 15% discount on

Mathematics
1 answer:
Rudik [331]3 years ago
8 0

Answer:

The cost of each pair of shoes before the discount=$67.65

Step-by-step explanation:

Step 1

Use the expression below to determine original cost of the 2 pairs of shoes as follows;

A=O-R

where;

A=total bill after discount

O=original cost of 2 pairs of shoe

R=discount amount

In our case;

A=$110.50

O=unknown=x

R=15% of O=(15/100)×x=0.15 x

replacing;

115=x-0.15 x

115=0.85 x

x=115/0.85

x=135.294

Original cost of the 2 pairs of shoes=$135.294

Original cost of a pair of shoes=135.294/2=$67.65

The cost of each pair of shoes before the discount=$67.65

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Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0
3 years ago
The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

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1 year ago
What is the 1000positive integer with an odd number of digits?
Ket [755]
An answer can be 1357
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Please help me my aleks topics are due tomorrow and i will give you brainliest :(
aksik [14]

Answer:

a is 3x

b is 6(8y-5) and 6x8y-6x5

Step-by-step explanation:

first a is 3x

b is 6(8y-5) 6x8y-6x5

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3 years ago
Solve 3x−5 = 9.<br><br> x = −3<br> x = 2<br> x = 7<br> x = 8
Airida [17]
I hope this helps you




3x-5+5=9+5


3x=14


x=4,66666....
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3 years ago
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