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vodomira [7]
3 years ago
12

Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20)

, where x is a negative value. The area of the triangle is 60 square units.
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, write an equation that can be used to find the value of x .
PLEASE I NEED HELP! ASAP I WOULD REALLY APPRECIATE IT!!
Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
6 0
The answer is 1,1 . 3,-3, 5, -3
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Suppose Miss Roxanne Davenport is 25 years old right now and puts away $1,800 per quarter in an account that returns 6% interest
Lena [83]

We have been given that miss Roxanne is 25 years old and she puts 1800 dollars per quarter that returns 6% interest.

(a) We need to figure out how much will be in the account when she turns 65 years old. When she turns 65 years old, the number of years during which she made deposits would be 40. Since she made quarterly deposits. She made a total of 160 deposits. We can now figure out the final amount in the account using future value of annuity formula.

A=P\frac{(1+r)^{n}-1}{r}

We have the values P=1800, r=6/4% = 1.5% = 0.015 and n=160.

Therefore, the amount in the account would be:

A=1800\frac{(1+0.015)^{160}-1}{0.015}=1179415.39

Therefore, miss Roxanne will be 1179415.39 dollars in her account when she turns 65 years old.

(b) In this part we need to figure out the total amount she deposited.

The total amount she deposited would be 1800*160=\$288000.

(c) We can find the interest earned by subtracting her contribution from the answer of part (a).

Interest earned = 1179415.39-288000=\$891415.39

7 0
3 years ago
Read 2 more answers
1 gallon of batter is poured equally into 4 bowls. How many gallons of batter are in each bowl?
yarga [219]

Answer:

1/4 of a gallon otherwise known as 1 quart.

Step-by-step explanation:

This is because you are spliting one thing into four parts so each bowl would have 1/4 of the gallon.

5 0
3 years ago
An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee
SSSSS [86.1K]

Answer:

0.79 in^3

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

volume=\frac{1}{3} \pi r^2h

volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3

The difference in volume is 4.189-3.39= 0.79 in^3

8 0
3 years ago
Explain why a regular polygon cannot have an interior angle that is 40°.
Minchanka [31]

Answer:

Explained below.

Step-by-step explanation:

The formula for the interior angle of any regular polygon is given as;

Interior Angle = 180(n - 2)/n

Where n is number of sides

We are told the interior angle is 40°

Thus;

180(n - 2)/n = 40

Cross multiply to get;

180n - 360 = 40n

180n - 40n = 360

140n = 360

n = 360/140

n = 2.57

Number of sides of a regular polygon cannot be in decimal nor can it have less than 3 sides.

Thus, a shape with interior angle of 40 cannot be a polygon.

8 0
3 years ago
B. Monica's young son has two jigsaw puzzles.
Dominik [7]

Answer:

smaller=x

larger=x+26

total=90

x+x+26=90

2x=64

x=32

<h2>the smaller=32</h2><h2>the larger =58</h2>
8 0
3 years ago
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