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irga5000 [103]
3 years ago
10

Help with math problem. Fractions

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0

Answer:

21+4=25

Step-by-step explanation:

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The answer is A) 42°

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Can you form an angle bisector hen the angle is a straight line?
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Therfore when you construct an angle bisector on a straight line, both new angles would be 90°, and the angle bisector is just right in the middle.
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For the piecewise Function below, which of the following statments is true? Someone please help me
AysviL [449]
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Which of the following expressions correctly uses the properties of summations to represent
madam [21]

Answer:

Option C is correct.

7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18

Step-by-step explanation:

Given the expression:  \sum_{i=1}^{18} (7i^2+9)

Using properties of summation:

  • \sum_{i=1}^{n} (a+bi) =\sum_{i=1}^{n} a + \sum_{i=1}^{n} bi
  • \sum_{i=1}^{n} a = an

Using properties of summation in the given expression we have;

\sum_{i=1}^{18} (7i^2+9)

= \sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9

=7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18

Therefore, the following given expression uses the properties of summation to represents is, 7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18


8 0
3 years ago
Read 2 more answers
Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
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