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MakcuM [25]
3 years ago
9

Help a friend in need

Mathematics
1 answer:
mafiozo [28]3 years ago
7 0

a) 4.71ft

b) 3.53ft^2

Step-by-step explanation:

Perimeter is 1/2 the circumference

1/2 Circumference = 2*pi*radius

Radius = 1/2 Diameter

Radius = 3/2 = 1.5ft

Circumference = 2*pi*1.5ft = 9.42

1/2 Circumference = 4.71

4.71ft is the perimeter.

The area is 1/2 that of a full circle

A = pi*r^2

A = 3.14*1.5*1.5

A = 7.065ft^2

1/2 A = 3.53ft^2

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The graphs of the lines 2 x + 4 y = 0 and 2 x + y = 10 intersect in a point. What is the x-coordinate of that point?
stira [4]

Answer:

\frac{20}{3}

Step-by-step explanation:

we have  : lines 2 x + 4 y = 0 and 2 x + y = 10

   Let ,

2 x + 4 y = 0............. (1)

2 x + y = 10...............(2)

solve these equations for x and y

Now subtract (2)  from (1) ,we get

3y=-10

⇒y = \frac{-10}{3}

Put the value of y in (1) , we get

2x+4(\frac{-10}{3}) = 0

⇒2x= \frac{40}{3}

⇒x=\frac{20}{3}

∴ Point  of intersection is (\frac{20}{3},\frac{-10}{3} ).

Hence,the x-coordinate of that point is \frac{20}{3}.

8 0
3 years ago
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th
BaLLatris [955]
For this case, what we must do is find the distance between each ordered pair.
 For this, we use the formula of distance between points.
 We have then:
 d =  \sqrt{(x2-x1)^2+(y2-y1)^2}

 For (0, 0) and (0, 7):
 
d1=\sqrt{(0-0)^2+(7-0)^2}
 d1=\sqrt{(0)^2+(7)^2}
 d1=\sqrt{0+49}
 d1=\sqrt{49}
 d1=7

 For (0, 7) and (5, 7):
 
d2=\sqrt{(5-0)^2+(7-7)^2}
 d2=\sqrt{(5)^2+(0)^2}
 d2=\sqrt{25+0}
 d2=\sqrt{25}
 d2=5

 For (5, 7) and (5, 0):
 
d3=\sqrt{(5-5)^2+(7-0)^2}
 d3=\sqrt{(0)^2+(7)^2}
 d3=\sqrt{0+49}
 d3=\sqrt{49}
 d3=7

 before returning home the total distance is:
 d1 + d2 + d3 = 7 + 5 + 7

d1 + d2 + d3 = 19

 Answer:
 
before returning home Tommy walks about 19 blocks

5 0
3 years ago
Find the area of square of one of its side is (3x+4y)cm.If x=4 and y=1,find its actual area.​
kumpel [21]

Answer:

Step-by-step explanation:

hello :

the area is : (3x+4y)²cm²    when :x=4 and y=1, the area is : (3(4)+4(1))²cm² =16²cm2=256cm²

7 0
3 years ago
What is the domain and range for the function f(x) = x2 + 4x - 21?
bezimeni [28]

Answer:

Domain: (−∞,∞),{x|x∈R}

Range: [−25,∞),{y|y≥−25}



3 0
3 years ago
Theses are SOOOOO difficult 10 points if right
Alex Ar [27]
Graph it like this:

5 0
3 years ago
Read 2 more answers
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