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Nikolay [14]
3 years ago
13

The stained glass window below is a semicircle. What is the distance around the window to the nearest hundredth of an inch? Use

3.14 for π.
Mathematics
1 answer:
Brrunno [24]3 years ago
8 0

Answer:

The area of a circle is given by the formula

area=πr2

we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:

r=diameter

2r=362

r=18

By substituting these values to the formula of a circle, we now have:

area= (3.14 )  (18) 2

area=1017.36

But since the window is a semicircle, the area will have to be divided in half, therefore,

area of a semicircle =1017.362

area of a semicircle = 508.68

Thus the window's area is equal to 508.68 sq in.

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How many times greater is the value of 3 in 300 than the value of the 3 in 30
Vikki [24]
Well it sounds like you mean smaller, not greater. 3/300 = 1/100 while 3/30 = 1/10. So 3 out of 300 is 10 times SMALLER than 3 out of 30. 

3 0
3 years ago
Read 2 more answers
Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequali
BigorU [14]

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be 2\cdot x > 10, we proceed to show the appropriate procedure to step 4:

1) 2\cdot x >10 Given

2) x > 5 Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

\forall\, a, b, c \in \mathbb{R}. If c > 0, then:

a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a

But if c < 0, then:

a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a b\cdot c

Hence, correct answer is A.

5 0
3 years ago
A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c
Lelu [443]

Answer:

(x+8)^2 +(y-4)^2 = 25

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

(x-h)^2 +(y-k)^2 = r^2

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:(x+8)^2 +(y-4)^2 = r^2

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for r^2

(-4+8)^2 +(7-4)^2 =25= r^2

So then r = \sqrt{25}=5

And if we replace the second point we got this:

(-13+8)^2 +(4-4)^2 = 25 =r^2

And for the third point we have:

(-8+8)^2 +(-1-4)^2 = 25 =r^2

And we got the same result.

So then our final equation is given:

(x+8)^2 +(y-4)^2 = 25

4 0
3 years ago
What is the answer?<br><br> Y=x-6 and y=2x
Rashid [163]
\begin{cases}y=x-6\\y=2x\end{cases}\implies~x-6=2x\implies~x=-6

which means

y=x-6=y=-6-6=-12
4 0
3 years ago
Read 2 more answers
Solve for the value of x.x^2 + 4x + 4 = 0​
Georgia [21]

Answer:

-2

Step-by-step explanation:

Lets factor

(x+2)(x+2)=0

x=-2

5 0
3 years ago
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