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OLEGan [10]
3 years ago
12

Sara has a rectangular garden in her backyard that measures 12 m by 15 m. She wants to put a rock walkway on the diagonal. How l

ong will the walkway be? Round to the nearest tenth of a meter
Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

19.2 m

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 + 15^2 = c^2

144 + 225 = c^2

369 = c^2

Taking the square root of each side

sqrt(369) =sqrt(c^2)

19.20937271=c

To the nearest tenth

19.2 = c

valina [46]3 years ago
6 0

Answer:

Diagonal of rectangle walk = 19.2 meter (Approx.)

Step-by-step explanation:

Given:

Length of rectangle = 12 meter

Width of rectangle = 15 meter

Find:

Diagonal of rectangle walk

Computation:

Diagonal of rectangle = √l² + b²

Diagonal of rectangle walk = √Length of rectangle² + Width of rectangle²

Diagonal of rectangle walk = √12² + 15²

Diagonal of rectangle walk = √144 + 225

Diagonal of rectangle walk = √369

Diagonal of rectangle walk = 19.2093

Diagonal of rectangle walk = 19.2 meter (Approx.)

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jarptica [38.1K]

Answer:

The y-intercept in the model represents the base salary

Step-by-step explanation:

In regression analysis, the y-intercept refers to the point where a regression line crosses or cuts the y-intercept. At this point, the value of the explanatory variable X is usually 0.

In the model, the explanatory variable x is Ashley's total sales for the year. On the other hand the dependent variable is the annual salary which depends on total sales.

Substituting x with 0 in the regression model yields;

y = 0.2(0) + 25,000

y = 25,000

The y-intercept is thus 25,000 which is simply the salary earned in the absence of sales. This is simply the basic salary.

8 0
3 years ago
Help please, it is easy but not for me.
Grace [21]

Answer:

60.28.

Step-by-step explanation:

We need the sine function because we are given the opposite side and  we need the hypotenuse.

sin 71 = 57 / x

Cross multiply

x * sin 71 = 57

x = 57 / sin 71

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6 0
2 years ago
Determine the unit rate of a marathon runner who travels 9/2 miles in 3/4 hour.
ludmilkaskok [199]

Answer:

The marathon runner runs 1 mile every 10 minutes.

Step-by-step explanation:

9/2 miles is equal to 4.5 miles. 3/4 hours is equal to 45 minutes.

8 0
3 years ago
Two numbers, 3 and a, have a geometric mean of 9. Find the value of a.
Ket [755]
The geometric mean of two numbers x and y is √(xy).

So, if the geometric mean of 3 and a is 9 =>

9 = √(3a)

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=> a = 9^2 / 3

a = 81 / 3

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Answer: the value of a is 27.
4 0
3 years ago
Which of the following functions is graphed below?
sasho [114]

Answer:

2nd choice B.

Step-by-step explanation:

You can use the options A-D to help you eliminate pretty quickly without actually graphing

So first chose says you have the graph on the left when x<1 But you should see our visual actually says we want to include what happens at 1 (the filled dot) so this isn't the answer

Second choice Possible

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Fourth choice: same reason as third choice

Answer is the 2nd

5 0
3 years ago
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