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mr Goodwill [35]

3 years ago

11

A triangle has a perimeter of 32 inches. The medium side is 2 more than the short side, and the longest side is 3 times the leng

th of the shortest side. Find the shortest side.

1 answer:

MatroZZZ [7]3 years ago

7 0

Answer:

6

Step-by-step explanation:

6+(6+2)+(6×3)=32

32÷(1+1+3)=6•••••2

So it's 6 and 6+2 and 6 times 3

which is 5 of number 6 plus 2

=6+(6+2)+(6×3)

=6+8+18

=32

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: Find the approximate perimeter of the isosceles triangle A OPD.

AleksAgata [21]

Answer:

24.98 units

Step-by-step explanation:

The picture of the question in the attached figure

we have the coordinates

P(1,-6),D(4,3),O(7,-6)

The perimeter of triangle OPD is equal to

$P=OP+PD+OD$

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 OP

we have

O(7,-6),P(1,-6)

substitute in the formula

$d=\sqrt{(-6+6)^{2}+(1-7)^{2}}$

$d=\sqrt{(0)^{2}+(-6)^{2}}$

$d_O_P=6\ units$

step 2

Find the distance PD

we have

P(1,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-1)^{2}}$

$d=\sqrt{(9)^{2}+(3)^{2}}$

$d_P_D=\sqrt{90}\ units$

step 3

Find the distance OD

we have

O(7,-6),D(4,3)

substitute in the formula

$d=\sqrt{(3+6)^{2}+(4-7)^{2}}$

$d=\sqrt{(9)^{2}+(-3)^{2}}$

$d_O_D=\sqrt{90}\ units$

step 4

Find the perimeter

$P=6+\sqrt{90}+\sqrt{90}$

$P=6+9.49+9.49=24.98\ units$

4 0

3 years ago

If lena is making 10.5B dollars a year how many years will it take lena to make 100B dollars?

PIT_PIT [208]

100/10.5= 10
hope this helps

4 0

3 years ago

Read 2 more answers

Is (-3,11) a solution to the system of equation shown below.

natita [175]

No, when you substitute it into the first equation for x and y it does not equal 36 this it's not a solution

(-3)-(3)(11)=36
-3-33=36
-36 =/ 36

8 0

3 years ago

Simplify y-2/3/y+1/5

liberstina [14]

Answer:

$\frac{15y-10}{15y-3}$

Step-by-step explanation:

First at all, we need to use $a=\frac{a}{1}$ to convert this expression into a fraction, like:

$y-\frac{2}{3}$ to convert into $\frac{y}{1} -\frac{2}{3}$ .

Expand the fraction to get the least common denominator, like

$\frac{3y}{3*1}-\frac{2}{3}$

Write all numerators above the common denominator, like this:

$\frac{3y-2}{3}$

The bottom one used the same way to became simplest form, like this:

$y+\frac{1}{5}$

$\frac{y}{1} +\frac{1}{5}$

$\frac{5y}{5*1}+\frac{1}{5}$

$\frac{5y+1}{5}$

And it became like this:

$\frac{3y-2}{3}/\frac{5y+1}{5}$

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

$\frac{3y-2}{3}*\frac{5y+1}{5}$

3y-2(5) and 5y-1(3)

and it will becomes like this in function form:

$\frac{3y-2(5)}{5y+1(3)}$

Then, we should distribute 5 through the parenthesis

$\frac{15y-10}{5y+1(3)}$

$\frac{15y-10}{15y+3}$

And.... Here we go. That is the answer.

7 0

3 years ago

How many subsets of the set $\{1,2,3,4, 5, 6, 7, 8, 9, 10\}$ contain the number 5?

lianna [129]

For the given set of numbers:
<span>{1,2,3,4, 5, 6, 7, 8, 9, 10}
the number of elements
n=10
the total number of subsets is given by:
2^10=1024

</span>

6 0

3 years ago