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maria [59]
3 years ago
12

Calculate the value of OK.

Mathematics
1 answer:
spin [16.1K]3 years ago
3 0

For this similar trapezoids we can write

|MH|/|RS| = |AT|/|OK|

4/17 = 2/|OK|

|OK| = 2*17/4 = 8.5

|OK|=8.5

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the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 1
mixas84 [53]
\begin{gathered} P=2l+2w \\ \text{If l=50 and P=100, then:} \\ 100=2(50)+2w\Rightarrow0=2w\text{ !!!!} \end{gathered}

Since this can't happen, let's suppose that P=150, then:

\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}

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Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:

6 0
2 years ago
At the beach roger built a sand castle that was 2and 2/8 feet high if he added a flag that was 2 and 1/4 feet high what is the t
kvasek [131]

let's firstly convert the mixed fractions to improper fractions and then sum them up.

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7 0
4 years ago
The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is
densk [106]

Answer:

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Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-2,1)\\B(6,7)  

substitute the values

d=\sqrt{(7-1)^{2}+(6+2)^{2}}

d=\sqrt{(6)^{2}+(8)^{2}}

d=\sqrt{100}

d=10\ units

The radius is half the diameter

so

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step 2

Find the center of the circle

the center of the circle is the midpoint between the endpoints of the diameter

so

The center is

(\frac{-2+6}{2},\frac{1+7}{2})

(2,4)

step 3

Find the equation of the circle

The equation of the circle is

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substitute the values

(x-2)^{2}+(y-4)^{2}=5^{2}

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8 0
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Ksju [112]

Answer:

y=3

Step-by-step explanation:

perpendicular line to Y-axis passing through any point (m,n) is of the form

y=n

so the answer is

y=3

8 0
3 years ago
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