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salantis [7]
1 year ago
11

Peter wants to fence the park in front of his home on three sides which measure 152m 40cm, 205m 10cm, 310m 39cm. What is the tot

al length
Mathematics
1 answer:
Tpy6a [65]1 year ago
8 0

One centimenter is 0.01 meters. So, you can write the measures as

152.40\text{m},\quad 205.10\text{m},\quad 310.39\text{m}

Once this rewriting is done, getting the total length T is quite trivial, since all measurements are in the same unit, and we can simply sum everything:

T = 152.40+205.10+310.39 = 667.89

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Mark is making a decoration for a rally, using a string of triangular strips. Each strip is an isosceles triangle when flattened
jeyben [28]

Solution:

Consider the Given Isosceles Triangle

Considering the Possibilities

Case 1. When two equal angles are of 70°

 Let the third angle be x.

Keeping in mind , that sum of Interior angles of Triangle is 180°.

70° + 70° + x= 180°

140° +x= 180°

x= 180°- 140°

x= 40°

Case 2:

When an angle measures 70°, and two equal angles measure x°.

Keeping the same property of triangle in mind, that is sum of interior angles of triangle is 180°.

70° + x° + x° = 180°

⇒  70° + 2 x° = 180°

⇒ 2 x° = 180° -  70°

⇒ 2 x° = 110°

Dividing both sides by 2, we get

x= 55°


5 0
1 year ago
Write a number that is greater than 4.508 but less than 4.512
Lelechka [254]
4.509 is greater that 4.508 and less than 4.512
5 0
2 years ago
Read 2 more answers
A cylinder and a cone have the same base and height. The cylinder can hold about 4,712 Centimeters cubed of sand. Jared says tha
o-na [289]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

This means that the volume of a cone is 1/3 × volume of a cylinder if they have the same base and height.

If the cylinder can hold about 4,712 Centimeters cubed of sand and Jared says that the cone can hold about 1,178 Centimeters cubed of sand, then

Jared is not correct because the cone and the cylinder have the same base and height so the cone holds StartFraction 4,712 Over 3 EndFraction almost-equals 1,571 centimeters cubed of sand.

6 0
1 year ago
Your Mutual Fund was valued at $237,500. It has lost 6% per year for the last 3 years. What is its value today?
Makovka662 [10]

Answer:

The answer is C) $197,263.70

Step-by-step explanation:

It's losing 6% PER year for the last 3 year.

You can do what I did and take $237,500 and times it 0.06. Which should give you 14,250, that is how much is lost in year one.

So subtract 14,250 from 237,500, you should have $223,250 now.

Repeat the first step with $223,250 now, you times it by 0.06 again and you should get 13,395, you subtract that from $223,250.

You have $209,855 now, once again times that by 0.06 and you get 12,591.30. Subtract 12,591.30 from 209,855 and you should end up with $197,263.70

It's a long, simple method and I'm sure there is another method of solving this question, but this is an easy way to get the answer.

5 0
1 year ago
Which expression is equivalent to 4√6/3√2
VLD [36.1K]
Given

\frac{4\sqrt{6}}{3\sqrt{2}} = \frac{4\sqrt{2\times3}}{3\sqrt{2}}  \\  \\ = \frac{4\sqrt{2}\sqrt{3}}{3\sqrt{2}} = \frac{4}{3} \sqrt{3}
5 0
1 year ago
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