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gizmo_the_mogwai [7]
3 years ago
12

Carrie started at the southeast corner of

Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0

Answer:

9600 sq. yards.

Step-by-step explanation:

Carrie walked north 240 yards, turned and walked west 80 yards, and then turned and  walked diagonally back to where she started.

Therefore, the path traced by Carrie is a right triangle with base and heights are 240 yards and 80 yards.

Now, the area of the triangle traced by Carrie while walking is

= \frac{1}{2}\times \textrm {Base}\times \textrm {Height}

= \frac{1}{2} \times 240 \times 80 = 9600 sq. yards. (Answer)

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What is the smallest solution to the equation 2/3 x^2=24
True [87]

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2=24

Multiply by 3/2 on each side

3/2 *2/3 x^2=24 *3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = ±sqrt(36)

x = ±6

x = -6, 6

The smallest solution is -6

7 0
3 years ago
Solve similar triangles can someone please answer
Black_prince [1.1K]

Answer:

CB= 4

Step-by-step explanation:

the triangles are in AA similarity.

AB/AD = BC/DE

4/12 = x/12

CROSS MULTIPLY;

x = 48/12

x = 4

5 0
3 years ago
A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour? Show your work.
Alchen [17]
You would divide the cheetahs distance which is 300 feet  by the cheetahs time which is 2.92 seconds 
distance÷time 
300÷2.92= 102.7 seconds or 103 seconds if you round up 
the cheetahs speed is 102.7 seconds or 103 seconds 

5 0
3 years ago
(30 points)
Pani-rosa [81]

The vertices of the triangle are the points where any pair of lines intersect.

We start by setting up the system

\begin{cases}y=-x+2\\y=2x-1 \end{cases} \iff -x+2=2x-1 \iff 3x=3 \iff x=1

Using one of the two equations we can derive the correspondent y value:

f(x)=-x+2 \implies f(1)=-1+2 = 1

So, one vertex is (1, 1)

We choose the other two pairs of lines to find the other vertices:

\begin{cases}y=-x+2\\y=x-2 \end{cases} \iff -x+2=x-2 \iff x=2 \implies y = 0

\begin{cases}y=x-2\\y=2x-1 \end{cases} \iff x-2=2x-1 \iff x=-1 \implies y=-3

So, the three vertices are (1, 1), (2, 0), (-1, -3).

8 0
2 years ago
Ok for this question you have to solve for m and show work
konstantin123 [22]
10 = 2/3m - 3/2m
2/3m - 3/2m = 10
m ( 2/3 - 3/2 ) = 10
-5/6m = 10
5m = -60
m = -12
3 0
3 years ago
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