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RideAnS [48]
2 years ago
11

The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prep

aid for his stay and paid the state park commission a fee of $565. This paid for the one time fee as well as for a number of days. How many days of parking did Anthony pay for? Group of answer choices
Mathematics
1 answer:
HACTEHA [7]2 years ago
7 0

Answer:

Anthony paid for 7 days of parking.

Step-by-step explanation:

From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:

c=180+55x, where c is the cost of parking the motor home and x is the number of days.

Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:

565=180+55x

565-180=55x

385=55x

x=385/55

x=7

According to this, Anthony paid for 7 days of parking.

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Determine the number of possible solutions for a triangle with B=37 degrees, a=32, b=27
vladimir1956 [14]

Answer:

Two possible solutions

Step-by-step explanation:

we know that

Applying the law of sines

\frac{a}{sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}

we have

a=32\ units

b=27\ units

B=37\°

step 1

Find the measure of angle A

\frac{a}{sin(A)}=\frac{b}{Sin(B)}

substitute the values

\frac{32}{sin(A)}=\frac{27}{Sin(37\°)}

sin(A)=(32)Sin(37\°)/27=0.71326

A=arcsin(0.71326)=45.5\°

The measure of angle A could have two measures

the first measure-------> A=45.5\°

the second measure -----> A=180\°-45.5\°=134.5\°

step 2

Find the first measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to  180\°

A+B+C=180\°

substitute the values

A=45.5\°

B=37\°

45.5\°+37\°+C=180\°

C=180\°-(45.5\°+37\°)=97.5\°

step 3

Find the first length of side c

\frac{a}{sin(A)}=\frac{c}{Sin(C)}

substitute the values

\frac{32}{sin(37\°)}=\frac{c}{Sin(97.5\°)}

c=Sin(97.5\°)\frac{32}{sin(37\°)}=52.7\ units

therefore

the measures for the first solution of the triangle are

A=45.5\° , a=32\ units

B=37\° , b=27\ units

C=97.5\° , b=52.7\ units

step 4    

Find the second measure of angle C with the second measure of angle A

Remember that the sum of the internal angles of a triangle must be equal to  180\°

A+B+C=180\°

substitute the values

A=134.5\°

B=37\°

134.5\°+37\°+C=180\°

C=180\°-(134.5\°+37\°)=8.5\°

step 5

Find the second length of side c

\frac{a}{sin(A)}=\frac{c}{Sin(C)}

substitute the values

\frac{32}{sin(37\°)}=\frac{c}{Sin(8.5\°)}

c=Sin(8.5\°)\frac{32}{sin(37\°)}=7.9\ units

therefore

the measures for the second solution of the triangle are

A=45.5\° , a=32\ units

B=37\° , b=27\ units

C=8.5\° , b=7.9\ units

6 0
2 years ago
Which is the simplified form of the expression ((p^2)(q^5))^-4 * ((p^-4)(q^5))^-2 ?
Veseljchak [2.6K]
\bold{ANSWER:}
OPTION A

\bold{EXPLANATIONS:}

6 0
1 year ago
Write and solve a quadratic equation for the situation below. Choose the answer that has both an equation that correctly models
Klio2033 [76]
Okay so the area of a rectangle x by y with a border of width b will be:

A=(x+2b)(y+2b)

A=xy+2bx+2by+4b^2  we are told that A=320, x=11, and y=15 so now we have:

320=165+22x+30x+4x^2, now I am using x as the border width...

4x^2+55x+165=320  is the equation that they listed..

...

4x^2+55x-155=0  using the quadratic formula for efficiency...

x=(-55±√5505)/8  since x>0

x≈2.399  which for some unknown (incorrect) reason they rounded to

x=2.5

So in short, your answer is a)  
4 0
3 years ago
Which equation is parallel to y = –3 x + 4 and passes through the point (–3 , 4)?
boyakko [2]

The equation given has a slope of -3. See it? The equation we are looking for must have the same slope because the lines are parallel to each other. This means the lines never meet or touch on the xy-plane.

We use the point-slope formula to find the equation.

Here is the point-slope formula:

y - y_1 = m(x - x_1)

y - 4 = -3(x - (-3))

y - 4 = -3(x + 3)

y - 4 = -3x - 9

We now isolate y to find our equation.

y = -3x - 9 + 5

y = -3x - 4

Done.

7 0
2 years ago
If 1=3<br> 2=3 <br>3=5 <br>4=4 <br>5=4 <br>Then, 6=?​
Flauer [41]

Answer:

6=8

Step-by-step explanation:

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6 0
2 years ago
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