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frez [133]
2 years ago
8

What is the approximate area of the triangle? A)12.5 B)18 C)21.5 D)31

Mathematics
1 answer:
dalvyx [7]2 years ago
6 0

Answer:

21.5

Step-by-step explanation:

Counting the full squares: 16

Counting the squares that are more than 1/2:  6

The best estimate would be 21.5

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Find the coordinates for the midpoint of the segment with endpoints given. (12, 4) and (-8, 8) (2, 6) (10, 6) (2, 2)
cluponka [151]
The given coordinates are:
p1: (12,4) and p2: (-8,8)

Th x coordinate of the midpoint is calculated as follows:
Xmidpoint = (x1+x2) / 2 = (12+-8) / 2 = 4/2 = 2

The y coordinate of the midpoint is calculated as follows:
Ymidpoint = (y1+y2) / 2 = (4+8) / 2 = 12/2 = 6

Based on the above calculations, the midpoint of the segment with the given coordinates is (2,6)
8 0
3 years ago
Find 10 partial sums of the series. (round your answers to five decimal places.) ∞ 15 (−4)n n = 1
nikklg [1K]
Given

\Sigma_{n=1}^\infty15(-4)^n

The first 10 partial sums are as follows:

S_1=\Sigma_{n=1}^{1}15(-4)^n=15(-4)=\bold{-60} \\  \\ S_2=\Sigma_{n=1}^{2}15(-4)^n=\Sigma_{n=1}^{1}15(-4)^n+15(-4)^2 \\ =-60+15(16)=-60+240=\bold{180} \\  \\ S_3=\Sigma_{n=1}^{3}15(-4)^n=\Sigma_{n=1}^{2}15(-4)^n+15(-4)^3 \\ =180+15(-64)=180-960=\bold{-780} \\  \\ S_4=\Sigma_{n=1}^{4}15(-4)^n=\Sigma_{n=1}^{3}15(-4)^n+15(-4)^4 \\ =-780+15(256)=-780+3,840=\bold{3,060} \\  \\ S_5=\Sigma_{n=1}^{5}15(-4)^n=\Sigma_{n=1}^{4}15(-4)^n+15(-4)^5 \\ =3,060+15(-1,024)=3,060-15,360=\bold{-12,300}

S_6=\Sigma_{n=1}^{6}15(-4)^n=\Sigma_{n=1}^{5}15(-4)^n+15(-4)^6 \\ =-12,300+15(4,096)=-12,300+61,440=\bold{49,140}

The rest of the partial sums can be obtained in similar way.
7 0
3 years ago
It take Rick 5 minutes to wash 4 dishes. If he continue to work at this rate.how many minutes will it take Rick to wash 24 dishe
juin [17]

5 minutes         x minutes

---------------  =   -------------

4 dishes           24 dishes


using cross products

5 * 24 = 4 * x

divide each side by 4

5*24/4 = x

30=x

It will take 30 minutes

4 0
3 years ago
3(9x6) / (18x20)+13=?<br> please help me
vladimir1956 [14]

Answer:

13.45

Step-by-step explanation:

4 0
2 years ago
Which inequality represents the graph below?<br> y ≥ 3<br> y ≤ 3<br> y ≤ –3<br> x ≤ 3
Rus_ich [418]

Answer:

sorry i would have answered it but when i downloaded it ,they said i cant open the file.....do you mind snapping it and posting it

5 0
3 years ago
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