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pickupchik [31]
3 years ago
13

A pole that is 2.5m tall casts a shadow that is 1.69m long. At the same time, a nearby building casts a shadow that is 50.5m lon

g. How tall is the building? Round your answer to the nearest meter.
Mathematics
1 answer:
Feliz [49]3 years ago
8 0
1.69 / 2.5 = 50.5 / height
height = 2.5 * 50.5 / 1.69
height = <span> <span> <span> 74.7041420118 </span> </span> </span>
height = 75 meters (rounded)




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Determine if triangle ABC with coordinates A (0, 2), B (2, 5), and C (−1, 7) is an isosceles triangle. Use evidence to support y
kirill115 [55]

Answer:

The triangle ABC is an isosceles right triangle

Step-by-step explanation:

we have

The coordinates of triangle ABC are

A (0, 2), B (2, 5), and C (−1, 7)

we know that

An isosceles triangle has two equal sides and two equal internal angles

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

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

step 1

Find the distance AB

substitute in the formula

d=\sqrt{(5-2)^{2}+(2-0)^{2}}

d=\sqrt{(3)^{2}+(2)^{2}}

dAB=\sqrt{13}\ units

step 2

Find the distance BC

substitute in the formula

d=\sqrt{(7-5)^{2}+(-1-2)^{2}}

d=\sqrt{(2)^{2}+(-3)^{2}}

dBC=\sqrt{13}\ units

step 3

Find the distance AC

substitute in the formula

d=\sqrt{(7-2)^{2}+(-1-0)^{2}}

d=\sqrt{(5)^{2}+(-1)^{2}}

dAC=\sqrt{26}\ units

step 4

Compare the length sides

dAB=\sqrt{13}\ units

dBC=\sqrt{13}\ units

dAC=\sqrt{26}\ units

dAB=dBC

therefore

Is an isosceles triangle

Applying the Pythagoras Theorem

(AC)^{2} =(AB)^{2}+(BC)^{2}

substitute

(\sqrt{26})^{2} =(\sqrt{13})^{2}+(\sqrt{13})^{2}

26=13+13

26=26 -----> is true

therefore

Is an isosceles right triangle

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Answer:9.0875

Step-by-step explanation:

[2.4–(0.3–3.21)÷2+0.44÷(−2)]÷ 2/5=

[4.8:2-(-2.91):2-0.44:2]:2/5=

=[(4.8+2.91-0.44):2]*5/2=

=[(7.71-0.44):2]*5/2=

=(7.27:2)*5/2=(7.27*5):(2*2)=

=36.35:4=9.0875

6 0
3 years ago
which of the following regular polygons can make a tessellation: a)septagon b)octagon c)square d)hexagon
adell [148]

Answer:

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Step-by-step explanation:

septagon is the only regular polygon that can make a tessellation

hope it helps .

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arsen [322]
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