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Natasha_Volkova [10]
2 years ago
9

North is the positive y-direction on a coordinate plane, and 1 unit on the plane represents 1 foot. A soccer ball is kicked dire

ctly east from point (-3,4). If the ball travels a horizontal distance of 23 feet through the air and rolls an extra 14 feet, what are the coordinates of the point where the soccer ball stops

Mathematics
1 answer:
STatiana [176]2 years ago
8 0
Check the picture below.

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Points A(-2,3), B(-5,-4), and C(2,-1) form triangle ABC on a coordinate plane. What is the area of this triangle in square units
Veseljchak [2.6K]

1. Draw an accurate picture of the triangle in the coordinate axes, as shown in the attached picture.<span>

<span>2. Circumscribe a rectangle about the triangle, as shown in the picture. The coordinates of the points M, N, T are easily identifiable as shown in the picture.</span>

<span>3. The area of the triangle ABC is  The area of the rectangle - Area 1- Area 2- Area 3.</span>

Area 1 = 1/2(3*7)=21/2
Area 2 = 1/2(4*4)=1/2*16=8
<span>Area 3 = 1/2( 3*7)=21/2</span>

<span>Area 1+Area 2+Area 3=21/2+21/2+8=21+8=29 (units squared)</span>

<span>Area rectangle=  7*7=49 (units squared)</span>


<span>Answer: Area of triangle is 20 units squared.</span></span>

5 0
2 years ago
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A newly drilled water well produces 50,000 quarts of water per week. With no new water feeding the well, the production drops by
Sveta_85 [38]

Answer:

Total amount of water = 5,200,000

Step-by-step explanation:

Given:

water produced = 50,000 quarts of water per week

Production drop = 5% = 0.05 per year

Number of week in year = 52 week

Find:

Total amount of water

Computation:

Sum = a / r

a = 50,000 x 52

a = 2,600,000

Sum = a / [1-r]

Sum = 2,600,000 / 5%

Sum = 2,600,000 / 0.05

Total amount of water = 5,200,000

5 0
1 year ago
Triangles K L P and Q M N are shown. Triangle Q M N is slightly higher than triangle K L P and side Q M connects to side K P. Po
sergiy2304 [10]

Answer:

the answer is C

Step-by-step explanation:

8 0
2 years ago
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A started some business with RS 26,000. After 3 month B joined him with Rs. 16,000. After some more time C joined them with Rs.
viktelen [127]

Answer:

3  months

Step-by-step explanation:

<h2><u>A:</u></h2>

We know that the total investment period is 1 year, then since A started, A invested Rs 26,000.

<u>Now, since A has been working for 12 months, this is where the effective investment comes in:</u>

A effective investment = Rs 312,000

<h2><u>B:</u></h2>

<u>Then after 3 months, B joined, so:</u>

12 months - 3 months = 9 months in work

B overall invested = Rs 16,000

<u>Since B only worked nine months, we use that to find effective investment:</u>

B effective investment = Rs 144,000

<h2>C:</h2>

<u>C joined x months since B joined in:</u>

<u>We don't know how much C worked for, but we know that C joined after B:</u>

C investment period = 9 months - x certain amount of months

We know that C's investment is Rs 25,000

<u>Find effective investment:</u>

<u>Rs 25,000 * ( 9 - x ) = Rs 225,000 - 25,000x then to find the total investment:</u>

<u></u>

<u>Add all effective investment:</u>

Rs 312,000 + Rs 144,000 + Rs 225,000 - 25,000x

= Rs 681000 - 25,000x

We now know that C's investment is 225,000 - 25,000x

<u>Find profit share:</u> 225,000 - 25,000x

==> Rs 3,825

<u>The total profit:</u>

Rs 15,453

<u>To get our final answer, we must do this operation:</u>

<u>C investment divided by Total Investment = C's profit and total profit:</u>

( Rs 225,000 - 25,000x) ÷ ( Rs 681,000 - 25,000x ) = Rs 3,825 / Rs 15,453

25 ( Rs 9,000 - 1,000x)/(Rs 681,000 - 25,000x)  = (153 * 25) /(153 * 101)

( Rs 9,000 - 1,000x ) ÷ ( Rs 681,000 - 25,000x ) = 1 / 101

Rs 909,000 - 101,000x = Rs 681,000 - 25,000x

Rs 228,000 = 76,000x

Rs 228 = 76x

x = 3

8 0
2 years ago
Andrea is shopping for items for her pet sitting business because the store is having a sale where everything in the store is 5%
mars1129 [50]

Answer:

i promise it's A i am 1,00000000000000000000000000000000000000 sure

Step-by-step explanation:

3 0
2 years ago
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