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suter [353]
2 years ago
7

While your family is visiting Deep creek lake, you and your mother decide to go boating. The Rangers charge $6.50 per hour in ad

dition to $25.00 deposit to rent a canoe. If you wish to rent the canoe from 12:30 to 3:30 PM, write and solve a linear equation to find the total cost to rent the canoe.
Mathematics
1 answer:
pickupchik [31]2 years ago
3 0

The total cost is $43.5 and it is obtained from the equation c = 6.5n + 25

<u>Solution:</u>

Given that, while your family is visiting Deep creek lake, you and your mother decide to go boating.  

The Rangers charge $6.50 per hour in addition to $25.00 deposit to rent a canoe.  

If you wish to rent the canoe from 12:30 to 3:30 PM,  

We have to write and solve a linear equation to find the total cost to rent the canoe.

Now, we know that,

<em>total cost = charges + rent fee </em>

\text {Total cost }=\text { number of hours used } \times \$ 6.5 \text { per hour }+\$ 25

Let total cost be "c" and number of hours rented be "n"

\begin{array}{l}{c=n \times 6.50+25} \\\\ {c=6.5 n+25 \rightarrow(1)}\end{array}

Now, they used canoe from 12:30 to 3:30, which means 3 hours of time

So, put n = 3 in (1)  

c = 6.5(3) + 25

c = 19.5 + 25

c = 43.5

Hence, the total cost is $43.5 and it is obtained from the equation c = 6.5n + 25

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dybincka [34]

Answer:

a) s = -16t^{2} + 192t + 96

b) Height of the football after 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

Step-by-step explanation:

Given:

s = -16t^{2} + V_{o}t + s_{o}

where: s is the height of the football above the ground, t is the time, V_{o} is the initial velocity and s_{o} is the initial height.

The height of the building = V_{o} = 192 feet and the initial speed of the ball = s_{o} = 96 feet per second, then;

s = -16t^{2} + 192t + 96

a) The polynomial is given as:

s = -16t^{2} + 192t + 96

b) The height of the football when t = 2 seconds is;

s = -16(2) + 192(2) + 96

 = -32 + 384 + 96

 = -32 + 480

s = 448

The height of the football when t = 2 seconds is 448 feet.

ii. The football would not hit the ground after 2 seconds.

7 0
2 years ago
Can someone solve this
Natalka [10]

Option D:

ΔCAN ≅ ΔWNA by SAS congruence rule.

Solution:

Given data:

m∠CNA = m∠WAN and CN = WA

To prove that ΔCAN ≅ ΔWNA:

In ΔCAN and ΔWNA,

CN = WA (given side)

∠CNA = ∠WAN (given angle)

NA = NA (reflexive side)

Therefore, ΔCAN ≅ ΔWNA by SAS congruence rule.

Hence option D is the correct answer.

4 0
3 years ago
What are the measures of the missing angles x°, y° of a regular triangle if one angle measure equals 60°?​
MArishka [77]

Answer:

So each interior angle measurement of the regular triangle is 60 degrees.

Step-by-step explanation:

If the triangle is regular, this means all the side measurements are congruent to each other and that all the angle measurements are congruent to each other.

If the sum of the angles in a triangle is 180 degrees and you know they are each the same then you could either solve x+x+x=180 or know we are just dealings with an equiangular triangle in which all angles have measurement 60 degrees.

If need more convincing, let's actually solve:

x+x+x=180

3x=180

x=180/3

x=60

So each interior angle measurement of the regular triangle is 60 degrees.

3 0
3 years ago
X - y = 4
IrinaK [193]

Answer:

3. 6

Step-by-step explanation:

X - y = 4 ( Equation 1 )

X + y =8 ( Equation 2 )

equation 1 + equation 2

; 2x = 12

x = 12÷2

x =6

hope it helps ☺️

8 0
2 years ago
Read 2 more answers
Which expression represents the volume of the pyramid? One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3 One-th
anyanavicka [17]

Answer:

1/3(5.2)h cm³

Step-by-step explanation:

A solid right pyramid has a regular hexagonal base with an area of 5.2 cm2 and a height of h cm. Which expression represents the volume of the pyramid?

One-fifth(5.2)h cm3 StartFraction 1 Over 5 h EndFraction(5.2)h cm3

One-third(5.2)h cm3 StartFraction 1 Over 3 h EndFraction(5.2)h cm3

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Area = 5.2 cm²

Height = h cm

Volume of the pyramid = 1/3 × 5.2 cm² × h cm

= 1/3(5.2)h cm³

7 0
2 years ago
Read 2 more answers
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