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Misha Larkins [42]
3 years ago
12

The perimeter of a rectangular concrete patio is 34 meters. the area is 70 square meters. what are the dimensions of the patio?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0
How can I help u today
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The width of the rectangle is 7 feet, and the diagonal length of the rectangle is 16 feet. which measurement is the closest to t
yanalaym [24]

Answer: b. 14ft

Step-by-step explanation:

In the rectangle, the opposite sides are equal. The diagonal divides the rectangle into two equal right angle triangles. The diagonal represents the hypotenuse of both right angle triangles. The length and width represents the opposite and adjacent sides of the right angle triangles.

To determine the length, L of the rectangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

16² = L² + 7²

256 = L² + 49

L² = 256 - 49 = 207

L = √207

L = 14.38

the closest to the length of this rectangle in feet is

14ft

3 0
3 years ago
Read 2 more answers
The graph below shows the value of Edna's profits f(t), in dollars, after t months:
umka21 [38]
Since we know that the graph of our quadratic function has x-intercepts at (6,0) and (18,0), x=6 and x=18 are the zeroes of our quadratic. To find our quadratic we are going to factor each zero backwards and multiply them:
x=6
x-6=0
x=18
x-18=0

(x-6)(x-18)=x^{2}-6x-18x+108
=x^{2}-24x+108

Now that we have our quadratic function, we are going to use the average formula: m= \frac{f(9)-f(3)}{9-3}
where
f(9) is the function evaluated at  the <span>9th month
</span>f(3) is the function evaluated at the 3rd month 

m= \frac{f(9)-f(3)}{9-3}
m= \frac{[9^{2}-24(9)+108]-[3^{2}-24(3)+108]}{9-3}
m= \frac{-27-45}{6}
m= \frac{-72}{6}
m=-12

We can conclude that the closest approximate average rate of change for Edna's profits from the 3rd month to the 9th month is: <span>B. −11.63 dollars per month.</span>

6 0
3 years ago
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What’s 150 divided by 180 step by step?
liubo4ka [24]

150 can't go into 180 equally, so the answer is 1.2


8 0
3 years ago
How whorls I slice this and what’s the answer?
Olenka [21]
Here is a graph. When you use a graphing calculator, it isn't always necessary to solve for y.

Note different colors are used for the different problems. Problem 2 has a dashed line, as described by "Remember, ...".

3 0
4 years ago
There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the ma
klio [65]
5:8 Hope this helps!!
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