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Olin [163]
3 years ago
7

Marcus drew a line from point Y to point W in the rectangle shown below. He created two identical triangles. Classfy the triangl

es by size of their angles and by the lengths of their sides.

Mathematics
1 answer:
telo118 [61]3 years ago
4 0
When you draw a diagonal line from Y to W, you will create two congruent triangles.

Each of these triangles will have three sides of different lengths, making them scalene triangles.

In each of these triangles, there will be one 90° angle, right angle, and two acute angles (less than 90°). This would classify these triangles as right triangles based on the angles.

Both triangles are right, scalene triangles.
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Un cono ha l'area laterale di 255 pigreco cm^2, l'apotema di 17 cm e pesa 900 pigreco g. Calcola il peso specifico del materiale
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Answer:

The specific weight is 1.5\frac{g}{cm^{3}}

Step-by-step explanation:

The question in English

A cone has a lateral area of 255 pi cm^2, an apothem of 17 cm and weighs 900 pi g. It calculates the specific weight of the material of which it is composed

step 1

Find the radius of the cone

we know that

The lateral area of a cone is equal to

LA=\pi rl

we have

LA=255\pi\ cm^{2}

l=17\ cm

substitute the values

255\pi=\pi r(17)

Simplify

255=r(17)

r=255/(17)=15\ cm

step 2

Find the height of the cone

Applying the Pythagoras Theorem

l^{2} =r^{2} +h^{2}

substitute the values and solve for h

17^{2} =15^{2} +h^{2}

h^{2}=17^{2}-15^{2}

h^{2}=64

h=8\ cm

step 3

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2}h

substitute the values

V=\frac{1}{3}\pi (15)^{2}(8)

V=600\pi\ cm^{3}

step 4

Find the specific weight

Divide the mass by the volume

\frac{900\pi }{600\pi}=1.5\frac{g}{cm^{3}}

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Step-by-step explanation:

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