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3 years ago

A triangle has two sides of lengths 6 and 9. What value could the length of the third side be?

1 answer:

4 0

The sum of the lengths of two sides of a triangle must always be less than or equal to the third side. So, if we let the third side be x, we have:

$\begin{cases}6+x\geq9\\x+9\geq6\\6+9\geq x\end{cases} \iff \begin{cases}x\geq3\\x\geq -3\\x\leq 15\end{cases} \iff \begin{cases}x\geq3\\x\leq 15\end{cases}$

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If a woman making $29,000 a year receives a cost-of-living increase of 2.6%, what will her new salary be?

Karolina [17]

75400 because you times is

8 0

3 years ago

Can u help me figure out this question plz

Dmitry [639]

Rectangle = 9*5=45
Triangle= 1/2 * 10 * 3 = 15
Add the two shapes: 45+15 = 60 sq units

4 0

3 years ago

Help answer please!!

12345 [234]

Answer:

h = 19.7 ft.

Step-by-step explanation:

Use the Pythagoras Theorem

$(Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\\\(20)^2=(3.5)^2+(h)^2\\400=12.25+h^2\\400-12.25=h^2\\387.75=h^2\\$

Now we take square root on both sides,

$\sqrt{387.75} =\sqrt{h^2}\\19.69=h\\h=19.7\ ft\\$

so the value of h equals 19.7 ft.

6 0

3 years ago

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

Katena32 [7]

Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y3$

Options

$x^2y^2$ $x^3y^3$ $7xy^2$ $7x^0y^3$

Answer:

$x^2y^2$

Step-by-step explanation:

Given

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

Required

Fill in the missing gap

We have that:

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

Hence, the variable of the polynomial is x

This implies that the power of x decreases by 1 in each term.

The missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.

This implies that the blank will be filled with a term that has its power of x to be 2

From the list of given options, only $x^2y^2$ can be used to complete the polynomial.

Hence, the complete polynomial is:

$8x^3y^2 -x^2y^2+ 3xy^2 - 4y3$

4 0

3 years ago

Read 2 more answers

ASAP 55 points Which expression is equivalent to ((x^(-4)y)/(x^(-9)y^(5)))^(-2) assume x = 0 ,y = 0

german

Answer:

I thought if you try to do an exponent on a zero, then the answer would always be undefined...

Step-by-step explanation:

6 0

3 years ago