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Westkost [7]
3 years ago
9

Miguel plots points A, B, and C in the coordinate plane.

Mathematics
1 answer:
serg [7]3 years ago
6 0

Answer:

part a: 5

part b: no, ABC is not an equilateral triangle

Step-by-step explanation:

part a: if you do the distance formula for points A and B, you get 5

part b: using the distance formula again, points A to B and points A to C are both 5, but points B to C is 6, therefore it's not equilateral because all the sides have to be the same length

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Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 11 feet by 11 feet by 2 inches for a patio if
Elena-2011 [213]

Answer:

$34.04

Step-by-step explanation:

The dimensions of a slab is 11 feet by 11 feet by 2 inches or 3.67 yards, 3.67 yards and 0.055 yards

We need to find the cost to pour a slab.

We know that the volume of a cuboid shape is given by :

V = lbh

Put all the values,

V = 3.67 × 3.67 × 0.055

V = 0.74 yards³

Cost,

C = $46 × 0.74

C = $34.04

Hence, the required cost is equal to $34.04.

4 0
3 years ago
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
Misha Larkins [42]

Answer:

$167.2

Step-by-step explanation:

It has been given that the price of a new computer is $800.00 and refurbished computer with the same equipment has a  price of $640.00.

Let us find the amount that we will save with a refurbished computer if we put the difference into the savings account for a year using simple interest formula.  

A=P(1+rt), where A= Amount after t years, P=principal amount, r = interest rate (decimal form) and t=time.

Our principal amount will be the difference of prices of new computer and refurbished computer.

\text{Principal amount}=800-640=160

\text{Interest rate}=\frac{4.5}{100}=0.045  

Upon substituting our given values in above formula we will get,

\text{Amount we will save with a refurbished computer}=160(1+0.045\times 1)

\text{Amount we will save with a refurbished computer}=160(1+0.045)  

\text{Amount we will save with a refurbished computer}=160(1.045)

\text{Amount we will save with a refurbished computer}=167.2

Therefore, we will save $167.2 with refurbished computer when we put the difference into the savings account for a year.


5 0
3 years ago
SOMEONE please help!!
Paul [167]
So you are given a recursive series, which is an equation that writes itself. Now we want to create a explicit rule. Explicit rule is a pattern that uses our first term and add our common difference. So it gives us our first term. a_{1}  = -3

Lets find the second term of the recursive series. 

a_2 = -3 +7 = 4

So it is increasing by 7

So our explicit rule is:

a_n = -3 + 7(n-1)
8 0
3 years ago
I need help making a coordinate proof and it starts with if a quadralateral, then its diagnoles are perpendicular.
zlopas [31]

Answer:

There are a number of ways to show whether a quadrilateral placed on a coordinate plane is a parallelogram or not. Here are a few ways:

1. Show that both pairs of opposite sides are congruent.  

2. Show that both pairs of opposite sides are parallel

3. Show that a pair of opposite sides are congruent and parallel

4. Show that the diagonals bisect each other.

In this activity, we will use the Distance, Midpoint and Slope Formulas that we learned in Algebra 1 to show congruent, bisected and parallel segments.

Midpoint, Slope and Distance Formula Review.

The midpoint of a segment in the coordinate plane with endpoints

Step-by-step explanation:

8 0
3 years ago
If the simple interest on ​$3,000 for 8 years is ​$1,680​, then what is the interest​ rate?
madam [21]

We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years

In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.

Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...
8 0
3 years ago
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