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allsm [11]
2 years ago
8

Lot 1 lies where two roads meet at a 79° angle. Lot 2 lies where two roads meet at a 65° angle. Lot 3 lies where two roads meet

at a 36° angle. All lots have two sides measuring 20 feet as shown. A triangle is shown. At each of the points of the triangle, a line representing a fence is drawn to form a smaller triangle at each point. All other sides of the smaller triangles are 20 feet. Lot 1 lies where the angle is 79 degrees. Lot 2 lies where the angle is 65 degrees. Lot 3 lies where the angle is 36 degrees. A fence runs along the back wall of each property, as shown in the diagram. Which lot has the longest fence along the back wall? Which lot has the shortest fence along the back wall?
Mathematics
2 answers:
fiasKO [112]2 years ago
8 0

Answer: First is Lot 1

Second is Lot 3

Step-by-step explanation:

a_sh-v [17]2 years ago
5 0

Answer:

First answer is Lot 1

Second Answer is Lot 3

Step-by-step explanation:

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Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushup
marishachu [46]

Answer:

8 + 2x = 30

Step-by-step explanation:

Given,

The initial number of push-ups he does in each day = 8,

And, the number of push-ups, he increases per day = 2,

Let x be the number of days after he will reach his target of 30 push-ups,

Since, the number of push-ups she will increase in x days = 2x,

Thus, the number of push-ups she will do after x days = 8 + 2x,

⇒ 8 + 2x = 30, which is the required equation.

4 0
2 years ago
Goodlife charges its members $30 per month for a gym membership. They currently have 75 clients.
Sauron [17]
They should charge $40 per membership, and they will make a maximum revenue of $2400
4 0
2 years ago
the points (0,1), (1,5), (2,25), (3,125) are on the graph of a function which equation represent that function
8090 [49]

f(x) = 5^{x}

note the range is {1, 5, 25, 125 } which can be expressed as

{ 5^{0}, 5^{1}, 5^{2}, 5^{3} }

the exponents being the domain { 0, 1, 2, 3 }

thus f(x) = 5^{x} an exponential function


4 0
2 years ago
A million years ago, an alien species built a vertical tower on a horizontal plane. When they returned they discovered that the
velikii [3]

Answer:

\theta=cos^{-1}(\frac{2}{3})

Step-by-step explanation:

We are given that measurements of three points on the ground gave coordinates of (0,0,0),(1,2,0) and (0,2,1)

We have to find the angle by which the tower now deviate from the vertical

We find cross product of <1,2,0> and <0,2,1>

\times =\begin{vmatrix}i&j&k\\1&2&0\\0&2&1\end{vmatrix}

\times =2\hat{i}-\hat{j}+2\hat{k}

Now, we are finding the angle between  \timesand vertical vector <0,0,1>

Angle between two vectors formula

cos\theta=\frac{a.b}{\mid a\mid\cdot\mid b\mid }

Now, using this formula

cos\theta=\frac{2}{1\cdot 3}=\frac{2}{3}

\theta=cos^{-1}(\frac{2}{3})

Hence, the tower deviate from the vertical by the angle \theta=cos^{-1}(\frac{2}{3})

6 0
2 years ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
2 years ago
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