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Tems11 [23]
3 years ago
13

You have $25.00 to spend at the county fair. Admission to the fair is $5. The cost of a carnival ride ticket is $2. If you spend

all of your money at the fair, how many carnival ride tickets can you buy?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

Answer:

10

Step-by-step explanation:

25 - 5 = 20

20 / 2 = 10

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23/50 in the simplest form
zimovet [89]

Answer:

it is already in the simplest form

Step-by-step explanation:

23 is prime

6 0
3 years ago
What basic trigonometric identity would you use to verify that sin^2x +cos^2x/cos x = sec x
gogolik [260]

<u>Answer:</u>

The basic identity used is \bold{\sin ^{2} x+\cos ^{2} x=1}.

<u>Solution: </u>

In this problem some of the basic trigonometric identities are used to prove the given expression.

Let’s first take the LHS:

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}

Step one:

The sum of squares of Sine and Cosine is 1 which is:

\sin ^{2} x+\cos ^{2} x=1

On substituting the above identity in the given expression, we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\frac{1}{\cos x} \rightarrow(1)

Step two:

The reciprocal of cosine is secant which is:

\cos x=\frac{1}{\sec x}

On substituting the above identity in equation (1), we get,

\Rightarrow \frac{\sin ^{2} x+\cos ^{2} x}{\cos x}=\sec x

Thus, RHS is obtained.

Using the identity \sin ^{2} x+\cos ^{2} x=1, the given expression is verified.

6 0
3 years ago
What is the domain range and zeros of the graph ?
marusya05 [52]

The domain is how far the graph stretches horizontally (on the x-axis).

Domain:  ( -∞ , ∞ )  or  -∞ < x < ∞

The range is how long the graph stretched vertically (on the y-axis).

Range:  ( -∞ , 2 ]  or  -∞ < y ≤ 2

The zeros are where the graph intersects with the x-axis. In other words, the x-values when y=0.

Zeros:  x = -1  and  x = 3

8 0
4 years ago
In ΔHIJ, the measure of ∠J=90°, IH = 65, HJ = 56, and JI = 33. What is the value of the sine of ∠I to the nearest hundredth?
solmaris [256]

Answer:

0.86

Step-by-step explanation:

Draw the triangle.

Since ∠J=90°, this is a right triangle, so we can use SOH-CAH-TOA to find sin∠I.

sin∠I = 56/65

sin∠I = 0.86

5 0
4 years ago
Find the sixth term of the geometric sequence<br> 9, 18, 36, ...
timama [110]

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

6 0
3 years ago
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