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yulyashka [42]
4 years ago
13

Please help me by marking the correct answer to each part of number 9. I really dont get this at all, so please tell me why your

answer is correct (step by step) PLSS TELL ME HOW AND WHY THIS IS YOUR ANSWER!!!

Mathematics
1 answer:
Margaret [11]4 years ago
7 0
9a) False, The dimensions are 10 x 20

b) True, 10 x 20 = 200

c) 10-6=4   (right side minus left side)
    26-20=6 (bottom line minus top line)

d) True, Area of a triangle = (base x height) / 2

The base is 6 and the height is 4, so 6 x 4= 24 / 2 =12

e) True, the total area is equal to the triangle area plus the rectangles area.

so, 200+12= 212
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You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-
Nikitich [7]

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7

Similarly,

BC=\sqrt{(5-(-2))^2+(4-4)^2}=7

CD=\sqrt{(5-5)^2+(4-(-3))^2}=7

AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7

It is conclude that, AB=BC=CD=AD.

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

P=4a=4(7)=28\text{ yards}

Area of square floor is

A=a^2=7^2=49\text{ sq. yards}

Therefore, the perimeter is 28 yards and the area is 49 square yards.

7 0
3 years ago
Find the area of a circle with a circumfrence of 53.41 inches
netineya [11]
About 224.7 I think. I hope this helps
7 0
3 years ago
Read 2 more answers
Determine whether the equation x^3 - 3x + 8 = 0 has any real root in the interval [0, 1]. Justify your answer.
nikdorinn [45]

Answer:

The equation does not have a real root in the interval \rm [0,1]

Step-by-step explanation:

We can make use of the intermediate value theorem.

The theorem states that if f is a continuous function whose domain is the interval [a, b], then it takes on any value between f(a) and f(b) at some point within the interval. There are two corollaries:

  1. If a continuous function has values of opposite sign inside an interval, then it has a root in that interval. This is also known as Bolzano's theorem.
  2. The image of a continuous function over an interval is itself an interval.

Of course, in our case, we will make use of the first one.

First, we need to proof that our function is continues in \rm [0,1], which it is since every polynomial is a continuous function on the entire line of real numbers. Then, we can apply the first corollary to the interval \rm [0,1], which means to evaluate the equation in 0 and 1:

f(x)=x^3-3x+8\\f(0)=8\\f(1)=6

Since both values have the same sign, positive in this case, we can say that by virtue of the first corollary of the intermediate value theorem the equation does not have a real root in the interval \rm [0,1]. I attached a plot of the equation in the interval \rm [-2,2] where you can clearly observe how the graph does not cross the x-axis in the interval.  

6 0
3 years ago
Find the value of z<br> A.110<br> B.141<br> C.80<br> D.100
gladu [14]

Answer:

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5 0
3 years ago
A clipboard cost $2.23.It cost $0.58 more than a notebook.Lisa bought two clipboards and one notebook.She paid with a ten dollar
Katen [24]
First you'd subtract .58 from 2.23 to get the price of the notebook.

2.23 - .58 = 1.65

(2.23×2)+1.65= 6.11

Now subtract 6.11 from ten to figure out the change amount.

10 - 6.11 = 3.89
6 0
3 years ago
Read 3 more answers
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