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Stels [109]
3 years ago
5

Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

have you figured out the answer i need help on the problem to

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Candy is on sale for $0.75 each. you have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pi
alekssr [168]
<span>The answer is B. C(n) = 0.75n - 0.25.
Let n be the number of pieces. The price for 1 piece is $0.75. The price C for n pieces without a coupon is n * $0.75: C(n) = 0.75n. The coupon value is $0.25. So, this value must be subtracted from the total price of n pieces. Since the coupon values in independent on the number of pieces, the price C for n pieces with the coupon will be: C(n) = 0.75n - 0.25. Therefore, the correct choice is B.</span>
4 0
3 years ago
Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip she only drove 52 mile
dem82 [27]

Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days

<em><u>Solution:</u></em>

Veronica traveled 562 miles to Venice, Florida

She drove 85 miles every day

Let "d" be the number of days she drove 85 miles per day

On the last day of her trip she only drove 52 miles

Therefore, we frame a equation as,

Total miles = 85 miles every day for "d" days + last day

Total miles = 85(d) + 52

Total miles = 85d + 52

562 = 85d + 52

85d = 562 - 52

85d = 510

d = 6

She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7

8 0
4 years ago
What is the difference? −15 − (−3)
klasskru [66]
The answer is -12 bc you take away the 3
3 0
1 year ago
Read 2 more answers
Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ
PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that XY = 10, which means WO=\frac{XY}{2}=\frac{10}{2}=5, by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means \angle OWZ = 90\°\\ and \triangle OWZ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.

OZ^{2} =WZ^{2}+OW^{2}

Where OZ is the hypothenuse and WZ , OW are legs of the triangle.

Replacing all given values, we have

OZ^{2}=12^{2}+5^{2}\\OZ=\sqrt{144+25}=\sqrt{169}\\  OZ=13

However, by sum of segments, we have

OZ=OY+YZ, where OY=OW=5 and OZ=13

13=5+YZ\\YZ=13-5\\YZ=8

Therefore, side YZ is 8 units long.

3 0
3 years ago
Help question attached multiple choice
Rina8888 [55]

ANSWER

x =  \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}

EXPLANATION

The given trigonometric equation is

\cos(x)  + 2 \cos(x)  \sin(x)  = 0

We factor cos(x) to get:

\cos(x) (1 + 2 \sin(x) ) = 0

Apply the zero product property to obtain:

\cos(x)  = 0 \: or \: 1 + 2 \sin(x)  =  0

\cos(x)  = 0 \: or \: \sin(x)  =   -  \frac{1}{2}

Using the unit circle,

\cos(x)  = 0

when

x =  \frac{\pi}{2}

and

x =  \frac{3\pi}{2}

We know

\sin(y)  =  \frac{1}{2}

when

y=  \frac{\pi}{6}

The sine function is negative in the third and fourth quadrants.

x = \pi +  \frac{\pi}{6}  =  \frac{7\pi}{6}

x = 2\pi  -   \frac{\pi}{6}  =  \frac{11\pi}{6}

Hence the solutions are:

x =  \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}

6 0
3 years ago
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