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4 years ago

What is the perimeter of the triangle?

Mathematics

2 answers:

Naya [18.7K]4 years ago

7 0

Answer:

30 units

Step-by-step explanation:

if you count the boxes that each side takes up you get the first side being equal to 5 units and the base being equal to 12 units. because this is a right triangle to find the length of the hypotenuse you have to use the Pythagorean equation. when you input the values into the equation you get 5^2 + 12^2 = 169 which square roots to 13. after doing this you have the length of the final side, now input them into the formula for the perimeter of a triangle which is a + b + c and you get a perimeter of 30 units,

Please mark as brainliest :)

Mariana [72]4 years ago

7 0

5+12+13=30 This is the vertical side plus the horizontal side plus the diagonal side (hypotenuse)

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Find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -Si (Show all work to earn credit.)

antoniya [11.8K]

Answer: The required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

Step-by-step explanation: We are given to find a polynomial function of lowest degree with real coefficients having zeroes of 2 and -5i.

We know that

if x = a is a zero of a real polynomial function p(x), then (x - a) is a factor of the polynomial p(x).

So, according to the given information, (x - 2) and ( x + 5i) are the factors of the given polynomial.

Also, we know that complex zeroes occur in conjugate pairs, so 5i will also be a zero of the given polynomial.

This implies that (x - 5i) is also a factor of the given polynomial.

Therefore, the polynomial of lowest degree (three) with real coefficients having zeroes of 2 and -5i is given by

$p(x)=(x-2)(x+5i)(x-5i)\\\\\Rightarrow p(x)=(x-2)(x^2-25i^2)\\\\\Rightarrow p(x)=(x-2)(x^2+25)\\\\\Rightarrow p(x)=x^3-2x^2+25x-50$

Thus, the required polynomial of lowest degree is $p(x)=x^3-2x^2+25x-50$

4 0

4 years ago

Nine friends are splitting a 2-pound bag of candy. If they each get the same amount of candy, how much does each friend get?, pl

Anton [14]

Answer:

1 pound

Step-by-step explanation:

2/2=1

2lbs/2 people = 1lbs per person

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3 years ago

Solve the inequality -2x < 5, illustrating your solution on a number line.

Over [174]

Answer:

No.

Step-by-step explanation:

Let's first and try to isolate x.

-2x < 5

(Divide by -2)

x > -5/2 ( < changes to > b/c it was divided by a negative)

x > -2.5

Since x is all values greater than -2.5, -6 is not within those bounds.

Thus, -6 is not a solution to the inequality.

Hope that helps!

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3 years ago

What is the measure of each interior angle?

Sergio [31]

Answer:

144°

Step-by-step explanation:

The angles of a decagon add up to 1440°

1440/10=144

6 0

3 years ago

Read 2 more answers

Please Help!! Will pick brainliest!

leonid [27]

Small circle 2/4 = 1/2 and the big circle is 3/5 i hope this is correct. im truly sorry if this was wrong

7 0

3 years ago

What is the perimeter of the triangle?​

What is the perimeter of the triangle?