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kipiarov [429]
3 years ago
9

Sabrina is ordering a custom circular glass table for her dining room. The tables are ordered based on the area of the tabletop,

and the diameter of every tabletop is a whole number. She wants a table with enough room for at least 6 people and wants each person to have at least 5 feet of table edge space, so that it is not too crowded.
The minimum tabletop diameter Sabrina should order is
feet.

The minimum tabletop area of the table Sabrina should order is
square feet.
Mathematics
1 answer:
ANTONII [103]3 years ago
4 0
Sabrina should make the diameter at least 30 feet
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What are the solutions to the equation x2−12x+100=0?
marysya [2.9K]

Answer:

x=6+8i

x=6-8i

Step-by-step explanation:

x^2-12x+100=0

solve by quadratic formula.

\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}

\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}

\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}

which is

x=\frac{12+16i}{2}

x=\frac{12-16i}{2}

Simplify.

x=6+8i

x=6-8i

Solved.


Hope this helps.

8 0
2 years ago
area of a triangle is 14x^5 + 63x^2. If the base is 7x^2, write an expression to represent the height ( x^2 means x square)
mr_godi [17]

Answer:

h=4x^3+18

Step-by-step explanation:

Given that,

The area of a triangle, A=14x^5 + 63x^2

Base, b=7x^2

We need to find the height of the triangle.

The formula for the area of the triangle is given by :

A=\dfrac{1}{2}\times b\times h\\\\\text{h is height}\\\\h=\dfrac{2A}{b}\\\\h=\dfrac{2\times (14x^5 + 63x^2)}{7x^2}\\\\h=\dfrac{2\times 7x^2(2x^3 + 9)}{7x^2}\\\\h=2(2x^3+9)\\\\=4x^3+18

So, the height of the triangle is 4x^3+18.

6 0
3 years ago
For what values of h are the vectors [Start 3 By 1 Matrix 1st Row 1st Column negative 1 2nd Row 1st Column 4 3rd Row 1st Column
Bogdan [553]

Answer:

The set is linearly dependent for every value of h.

Step-by-step explanation:

Recall that a set of vector {a,b,c,d} is a linearly dependent set of vectors if any of the vectors can be written as a linear combination of the other ones.

We are given the following vectors.a=(-1,4,6), b=(5,2,-3), c=(3,-5,-4), d=(12,-20, h). At first, we will check if a,b,c are linearly independent. To do so, we will calculate the following determinant (the procedure of the calculation is omitted).

\left|\begin{matrix}-1 & 5 & 3 \\ 4 & 2 & -5 & \\ 6 & -3 & -4\end{matrix}\right| = -119\neq 0

Since the determinant is not zero, this implies that the vectors a,b,c are all linearly independent. Since a,b,c are all vectors in \mathbb{R}^3 which is a 3-dimensional space, and they are 3 linear independent vectors, then they are automatically a base of this space. Consider now the vector d. Since {a,b,c} is a base of \mathbb{R}^3, then it generates any vector of this space(i.e any other vector of the space is a linear combination of {a,b,c}). In particular, d. So the set {a,b,c,d} is linearly independent for any value of h

3 0
3 years ago
The mark-up on iPhone X's is 250%. If an iPhone costs $200 to make, how much will Apple sell the phone for to make a profit?
Alika [10]

Answer:

$700 (C)

Step-by-step explanation:

The markup on the phone will be 2.5 * $200 = 500. Then, we add $200 onto that to get $700 total.

7 0
3 years ago
−0.6(x+3)+0.1(−10x−7)
Evgen [1.6K]

Answer:

-1.6x-2.5 is the answer

Step-by-step explanation:

In pic

(Hope this helps can I pls have brainlist (crown)☺️)

4 0
3 years ago
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