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Otrada [13]
2 years ago
9

What is the missing length?

Mathematics
1 answer:
skad [1K]2 years ago
4 0

Answer:

6.1

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) * h  where b1 and b2 are the lengths of the bases

108.6 = 1/2 ( 12+p) *12

108.6 = 6 (12+p)

Divide each side by 6

108.6 /6 = 12+p

18.1 = 12+p

Subtract 12 from each side

18.1-12 = 12+p-12

6.1 = p

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The neighbors have $18.57 to spend on strawberry plants. A 6-pack of plants costs $2. How many packs can they buy?
borishaifa [10]

Answer:

9

Step-by-step explanation:

the answer is 9 because 18 $÷2 = 9

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1. Given points A(3, -5) and B(19, -1), find the coordinates of point C that sit 3/8 of the way along line AB, closer to A than
zaharov [31]

1. C(x, y) = (7.3, –3.9)

2. C(x, y) = (17, –1.5)

Solution:

Question 1:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction \frac{3}{8}.

Point divides segment in the ratio formula:

$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)

Here, x_1=3, y_1=-5, x_2=19, y_2=-1 and m = 3, n = 8

$C(x, y)=\left(\frac{3\times19+8\times3}{3+8} , \frac{3\times(-1)+8\times(-5)}{3+8}\right)

           $=\left(\frac{57+24}{11} , \frac{-3-40}{11}\right)

           $=\left(\frac{81}{11} , \frac{-43}{11}\right)

C(x, y) = (7.3, –3.9)

Question 2:

Let the points are A(3, –5) and B(19, –1).

C is the point that on the segment AB in the fraction \frac{3}{8}.

Point divides segment in the ratio formula:

$C(x, y)=\left(\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n}\right)

Here, x_1=3, y_1=-5, x_2=19, y_2=-1 and m = 7, n = 1

$C(x, y)=\left(\frac{7\times19+1\times3}{7+1} , \frac{7\times(-1)+1\times(-5)}{7+1}\right)

           $=\left(\frac{133+3}{8} , \frac{-7-5}{8}\right)

           $=\left(\frac{136}{8} , \frac{-12}{8}\right)

C(x, y) = (17, –1.5)

8 0
3 years ago
Please help! A clear explanation on how to simplify the exponents and a detailed step by step solution is greatly appreciated.
Amanda [17]

Answer:

0.125 or 1/8

Step-by-step explanation:

2^3 +2^-3= (2*2*2) + (1/(2*2*2))= 8 + 1/8= 8 + 0.125= 8.125

4^3 +1= (4*4*4) + 1= 64 + 1= 65

8.125/65= 0.125 or 1/8

8 0
3 years ago
Can someone explain positive and negatives to me
Alex777 [14]

(I will do my best to entirely explain the subject) To understand Positives and Negatives you need to have a number line.

<u>-3 -2 -1 0 1 2 3</u>

Your whole life you have been using positives and negatives when you subtract or add a number. 9 - 2 is really just 9 + -2

With the number line it should be easier to understand that for every single time you add or take away you change the value. The more you take away (Negative numbers, 5 + -6) the farther down the value goes to the left, more towards the negative side (5 + -6 = -1). The same goes for addition (-6 + 9 = 3).

To multiply all you need to do is count how many times you see a negative number. If you see an even number of negatives then the answer will be positive because on the number line you went from one side to the other multiple times, left right left right and all that jazz. Hopefully i made this make more sense to you, if there is anything i need to clarify on please make it known so i can edit my answer.

8 0
3 years ago
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