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2 years ago

A flagpole is 12.5 m tall. It casts a 17.5 m shadow. How tall is a nearby radio tower that casts a 61.25 m shadow? _____

Mathematics

1 answer:

tresset_1 [31]2 years ago

7 0

Answer:

Step-by-step explanation:

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Find the other endpoint of the line segment with the given endpoint and midpoint: Endpoint - (1, 3) Midpoint - (0, 0)

Kobotan [32]

Answer:

The other endpoint of the line segment = (-1, -3)

Step-by-step explanation:

A segment has:

Endpoint: (1, 3)

Midpoint: (0, 0)

Let (x, y) be the other endpoint of the line segment

$\frac{\left(1\:+\:x\right)}{2}=0$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$\frac{2\left(1+x\right)}{2}=0\cdot \:2$

$1+x=0$

$x=-1$

$\frac{\left(3+y\right)}{2}=0$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$\frac{2\left(3+y\right)}{2}=0\cdot \:2$

$3+y=0$

$y=-3$

Therefore, the other endpoint of the line segment = (-1, -3)

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3 years ago

16 is 10% of what number

marusya05 [52]

let's say is 16% of "x", meaning "x" is the 100%.

we know "x" is 100% and 16% of it is 10, so

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 16&10 \end{array}\implies \cfrac{x}{16}=\cfrac{100}{10}\implies \cfrac{x}{16}=10\implies x = 160$

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3 years ago

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Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees. In the diagram of ci

luda_lava [24]

Answer:

$\angle m=90^o$

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measurement of the external angle is the half-difference of the arches that comprise

$\angle m=\frac{1}{2}(major\ arc\ LN-minor\ arc\ LN)$

Remember that the sum of the major arc and a minor arc is equal to 360 degrees

we have

$major\ arc\ LN=270^o$ ----> is given

$minor\ arc\ LN=360^o-270^o=90^o$

substitute the values

$\angle m=\frac{1}{2}(270^o-90^o)=90^o$

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3 years ago

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What’s the difference for this equation!!!

Katarina [22]

–(x^2–2x+12) would become –x^2+2x–12.

3x^2+9x+13 – x^2+2x–12

= 2x^2 + 11x – 1

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2 years ago

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Which of the following is equivalent to (4x+3)(x+2)

Oksi-84 [34.3K]

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2 years ago