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Sergio [31]
3 years ago
13

HELP ME FAST PLEASE \

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0

Answer:

The area of the triangle is 28 square units

Step-by-step explanation:

First we have to calculate the length of the base of the triangle and the length of the height

To calculate the base we have to subtract point (-1 , 2) from point (7 , 2)

(7 , 2) - (-1 , 2)  = ((7 - (-1)) , (2 - 2)) = (8 , 0)

because it has no component in y this means that the length of the base is 8

b = 8

To calculate the height we have to subtract point (-1 , 2) from point (-1 , 9)

(-1 , 9) - (-1 , 2) = (((-1) - (-1)) , (9 - 2)) = (0 , 7)

because it has no component in x this means that the length of the base is 7

h = 7

To calculate the area of ​​a triangle we have to multiply the base by the height and then divide it by 2

a = (b * h)/2

a = (8 * 7)/2

a = 56/2

a = 28

The area of the triangle is 28 square units

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Hank put $10,000 in an account for 10 years. The account earned 2.5% interest. How much interest had been earned by the end of t
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Answer:

A = P ( 1+ i )^n

A = 10,000(1+0.025)^10

= 10,000(1.025)^10

= $12,800.84

Step-by-step explanation:

A = future amount

i = interest rate

n = number of years

P = Present value

i.e i = 2.5% , P = $10,000 and n = 10 years

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3 years ago
Aunty Joan packs a packet of sweets to Alice and Olivia. Alice and Olivia share sweets in the ratio 7:3. Alice gives 3 sweets to
aivan3 [116]

Initially, Alice had 28 sweets and Olivia 12 sweets.

Step-by-step explanation:

First assume that Aunty Joan has x number sweets.

Alice and Olivia shared the x sweets in a ration of 7:3, this means

Alice had 7/10 x sweets and Olivia had 3/10 sweets.

Alice gives 3 sweets to Olivia, Alice will remain with ;

\frac{7}{10} x-3

Then the new ratio changes to 5:3 which means Alice will have 5/8 x number of sweets.

Equate the number of sweets for Alice in the two cases, which is

\frac{5}{8}x=\frac{7}{10} x-3\\ \\\frac{7}{10} x-\frac{5}{8} x=3\\

\frac{56x-50x}{80} =3\\\\\\\frac{6}{80} x=3\\\\\\6x=80*3\\\\\\x=240/6\\\\x=40

So there were 40 sweets at first

Using the ratio of 7:3 then

Alice had 7/10 *40 = 28 sweets

Olivia had 3/10*40= 12 sweets

Alice gave Olivia 3 sweets, so she will remain with 28-3 =25 sweets. Olivia will now have 15 sweets.The new ratio will be 25:15 simplified as 5:3.

Learn More

Ratio : brainly.com/question/11095585

Keywords : Ratio

#LearnwithBrainly

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3 years ago
A color printer prints 31 pages in 12 minutes. how many minutes does it take per page?
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12/31 = 0.38 minutes per page 

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An umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
erica [24]

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

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Area of one slice is 1/12 of the whole.

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See image.

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How do I find 3/4 as a fraction
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