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Alexeev081 [22]
3 years ago
12

A rectangle measures 10ft 10in. tall and 2ft 11 in wide. what is the area of the rectangle?

Mathematics
1 answer:
ivolga24 [154]3 years ago
8 0
Area of a rectangle is just length x height.
It probably looks confusing because of the numbers. So just change them into only inches; 12 inches in a foot.
So the rectangle is 10ft, 10inches tall...or 10*12+10=130inches
The rectangle is 2ft 11inches wide...or 2*12+11=35 inches
So now just multiple 130*35=4550 inches^2

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Dana is buying Grandparents' Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends 4/5 of that on
marysya [2.9K]

The total money Dana spent in all is $24.75

<h3>Ratio and proportions</h3>

Ratio are written as fractions of two integers. For instance a/b.

Amount spent for grandmother = $13.75

Amount spent on grand father = 4/5 * 13.75

Amount spent on grand father = $11

Take the sum

Total money spent = $13.75 + $11

Total money spent = $24.75

Hence the total money Dana spent in all is $24.75

Learn more on proportion here: brainly.com/question/19994681

#SPJ1

7 0
2 years ago
21 POINTS!<br><br> what is value of x?
defon

Answer:

5

Step-by-step explanation:

Using the Pythagorean theorem:

a^2 + b^2 =  c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

4 0
3 years ago
Read 2 more answers
The lowest point on the parabola is (0, -1).
astraxan [27]

Answer:

vertex

Step-by-step explanation:

vertex

If the coefficient a > 0, then the parabola opens upward and the vertex is the lowest point on the parabola. We say that k is the minimum value of the quadratic function. On the other hand, if the coefficient a < 0, then the parabola opens downward and the vertex is the highest point on the parabola.

3 0
3 years ago
What is y=x-4 2x+y=5
ahrayia [7]
If you would like to solve y = x - 4 and 2 * x + y = 5, you can do this using the following steps:

y = x - 4
2 * x + y = 5
_____________
2 * x + (x - 4) = 5
2 * x + x = 5 + 4
3 * x = 9     /3
x = 9 / 3 
x = 3

y = x - 4 = 3 - 4 = -1

The correct result would be x = 3 and y = -1.
7 0
3 years ago
Read 2 more answers
Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f
GalinKa [24]

Answer:

\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

f(x)=x^4-2x^3+x^2-32x-240\\\\ =(x^2+16)(x^2+ax-15)\\\\ =x^4+ax^3-15x^2+16x^2+16ax-240

We identify the coefficients for the like terms, it comes

a = -2 and 16a = -32 (which is equivalent). So, we can write in \mathbb{R}.

\\f(x)=(x^2+16)(x^2-2x-15)

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

f(x)=(x^2+16)(x^2-2x-15)\\\\=(x^2+16)(x^2+3x-5x-15)\\\\=(x^2+16)(x(x+3)-5(x+3))\\\\=\boxed{(x^2+16)(x+3)(x-5)}

And we can write in \mathbb{C}

f(x)=\boxed{(x-4i)(x+4i)(x+3)(x-5)}

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
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