3 years ago

The point of equidistant from the vertices of a triangle is its?

Mathematics

1 answer:

Luden [163]3 years ago

3 0

Answer:

The CIRCUMCENTER of a triangle is the point in the plane equidistant from the three vertices of the triangle.

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A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is

Allushta [10]

Answer:

B) 6.5 inches by 3.5 inches

Step-by-step explanation:

Multiplying the actual dimensions by the scale gives the scale dimensions:

(0.5 in)/(6 ft) × {78 ft, 42 ft}

= {39/6 in, 21/6 in}

= {6.5 in, 3.5 in}

The size on the scale drawing is 6.5 inches by 3.5 inches.

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3 years ago

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How can you prove: secθ = cscθtanθ

zavuch27 [327]

$\sec \theta=\csc \theta\tan \theta\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\sin \theta}\cdot\dfrac{\sin \theta}{\cos \theta}\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\cos \theta}$

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3 years ago

During the first hour of operation the farm stand owner sold 15% of the apples he had. On the second hour he sold 20% of the rem

Lelechka [254]

Answer:

200 kg

Step-by-step explanation:

First hour he sold 15% (remaining is 85%)

Second hour he sold 20% of remaining (which is 85%) -- so he sold $(0.2)(0.85)=0.17$ , which is 17% (remaining 85-17=68%)

Third hour he sold 25% of remaining (which is 68%) -- so he sold $(0.25)(0.68)=17$ , which is 17%

In third hour he sold 34, so 17% is 34. To find total he initially had, we need to find (100%). We can setup the ratio (letting x equal his initial amount):

$\frac{0.17}{34}=\frac{1}{x}\\0.17x=34\\x=\frac{34}{0.17}=200$