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snow_tiger [21]
3 years ago
11

Chuck built a garden in the shape of a rectangle in his backyard. The width of the garden is 7 feet and the length of the garden

is 24 feet. He built a walking pathway along the diagonal of the rectangular garden. Which measurement represent the length of the walking path in feet?
Mathematics
1 answer:
Nastasia [14]3 years ago
5 0
The answer is 25 because of the Pythagorean theorem. 49+576=625 625 squared=25
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You ate 2⁄3 of the pizza. How many twelfths is that?
Kipish [7]
You would multiply 2x4 and 3x4 and it would be 8/12 so that leaves you with 4 twelths left.
5 0
3 years ago
PLEASE HELP DUE IN 15 MINUTES WILL GIVE BRAINLIEST!
AVprozaik [17]

4m = 12x + 40

8x + 8x + 12x + 40 + 4m = 360

28x + 40 + 12x + 40 = 360

x = 7

m = 12(7) + 40 = 124

7 0
3 years ago
Find the distance between these points. <br> A(5,8), B(-3,4)
konstantin123 [22]

Answer:

<u>Distance</u><u> </u><u>between</u><u> </u><u>the</u><u> </u><u>points</u><u> </u><u>is</u><u> </u><u>8</u><u>.</u><u>9</u><u>4</u><u> </u><u>units</u>

Step-by-step explanation:

General formula:

{ \boxed{ \bf{distance =  \sqrt{ {(x_{1} - x _{2} )}^{2} +  {(y _{1} - y _{2} ) }^{2}  } }}}

substitute:

{ \sf{ =  \sqrt{ {(5 - ( - 3))}^{2}  +  {(8 - 4)}^{2} } }} \\  = {  \sf{ \sqrt{64 + 16} }} \\  = { \sf{ \sqrt{80} }} \\  = 8.94 \: units

{ \underline{ \sf{ \blue{christ \: † \: alone}}}}

6 0
2 years ago
Read 2 more answers
A certain car rental location charges a daily fee as well as a mileage charge. On one trip a businessman rented a car for the da
nikklg [1K]

Answer:

x\approx 267\ miles

Step-by-step explanation:

<u>Linear Modeling</u>

Some events can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

f(x)=mx+b

For the problem at hand, we must pick the adequate variables according to the data provided.

The question states the charge for renting a car is a function of the mileage. It also provides two points from which we can build our model. Let's set the following variables:

c = the charge for renting a car in dollars

x = the distance driven by the businessman in miles

Representing the ordered pair as (x,c), we have the points: (150,79) and (65,63.70). Our model will be expressed as:

c = mx+b

We must find the values of m and b with the data provided. Substituting the first point:

79 = 150m+b

Substituting the second point:

63.70 = 65m+b

Both equations form the following system:

\left\{\begin{matrix}150m+b=79\\ 65m+b=63.70 \end{matrix}\right.

Subtracting both equations:

150m-65m=79-63.70

Note the variable b was canceled out in the operation, leaving only the variable m to solve. Joining like terms:

85m=15.3

Solving:

m=15.3/85=0.18

From the first equation

79 = 150m+b

Solving for b:

b=79-150m=79-150(0.18) = 52.

The model for the problem is:

c=0.18x+52

Now we need to calculate how many miles (x) could be driven for c=$100. From the equation above, substitute c=100

100=0.18x+52

Solve for x:

0.18x+52=100

0.18x=100-52=48

x=48/0.18=266.67

Rounding to the closest integer:

\boxed{x\approx 267\ miles}

7 0
3 years ago
Evaluate f^3+11g-4h when f= 3, g=2 and h=7
vladimir2022 [97]

Step-by-step explanation:

=f³+11×g-4×h

=3³+11×2-4×7

=27+22-28

=21

is yr answer.

3 0
2 years ago
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