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3 years ago

If the length of a leg of a triangle is 39.2 and the area of the triangle is 63 what is the length of the other leg

Mathematics

1 answer:

Nadya [2.5K]3 years ago

7 0

Answer:

The length of the other leg is $3.21\ units$

Step-by-step explanation:

I will assume that the triangle is a right triangle

In a right triangle the legs are perpendicular

The area of a right triangle is equal to

$A=\frac{1}{2}(a)(b)$

where

a and b are the legs of the triangle

In this problem we have

$a=39.2\ units$

$A=63\ units^{2}$

substitute the values

$63=\frac{1}{2}(39.2)(b)$

$126=(39.2)(b)$

$b=126/(39.2)=3.21\ units$

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Anna35 [415]

Answer:

Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms

Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728

Now,

$Sum = \frac{a( {r}^{n} - 1) }{(r - 1)} \\$

So,

$\frac{a( {r}^{n} - 1)}{(r - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{(3 - 1)} = 728 \\ \frac{2( {3}^{n} - 1) }{2} = 728 \\ {3}^{n} - 1 = 728 \\ {3}^{n}=728+1\\ {3}^{n} = 729 \\ {3}^{n} = {3}^{6} \\ \boxed{ n = 6}$

Therefore, number of terms is 6

6 is the right answer.

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3 years ago

Enter the equation of the circle described below. <br> Center (-1,4), radius = sqrt3

slava [35]

The equation of a circle always follows this:

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3 years ago

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den301095 [7]

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3 years ago

A model of a famous statue is 2 1/2 inches tall. The actual statue is 3 1/3 feet tall. What is the ratio of the height of the mo

Gekata [30.6K]

1. A model of a famous statue is $2\dfrac{1}{2}$ inches tall that is

$\dfrac{2\cdot 2+1}{2}=\dfrac{5}{2}$ in.

2. The actual statue is $3\dfrac{1}{3}$ feet tall that is

$\dfrac{3\cdot 3+1}{3}=\dfrac{10}{3}\ ft=\dfrac{10}{3}\cdot 12=40\ in.$

3. The ratio of the height of the model to the height of the actual statue in simplest form is

$\dfrac{\dfrac{5}{2}}{40}=\dfrac{5}{2}\cdot \dfrac{1}{40}=\dfrac{1}{16}.$

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3 years ago

getting home from trick or treat celia and emma counted their candies. half of celias candies is equal to 2/3 of emmas candies.

blagie [28]

Candies with celias and emmas is 60 and 45 respectively.

<u>Solution:</u>

Given, Getting home from trick or treat celia and emma counted their candies. Half of celias candies is equal to 2/3 of emmas candies.

They had a total of 105 candies altogether.

We have to find how many candies did each of them have.

Let the number of candies with celias be n, then number of candies with emma will be 105 – n.

Now according to given condition.

$\begin{array}{l}{\frac{1}{2} \times \text { celias candies count }=\frac{2}{3} \times \text { emmas candies count }} \\\\ {\rightarrow \frac{1}{2} \times n=\frac{2}{3} \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 \times n=2 \times 2 \times(105-n)} \\\\ {\rightarrow 3 n=4(105-n)} \\\\ {\quad \rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n=420-4 n} \\\\ {\rightarrow 3 n+4 n=420} \\\\ {\rightarrow 7 n=7 \times 60} \\\\ {\rightarrow n=60}\end{array}$

Hence, candies with celias and emmas is 60 and 45 respectively.

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3 years ago